diff --git "a/data/dm_maths/full_data_2/2253_11255.jsonl" "b/data/dm_maths/full_data_2/2253_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2253_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be (1 + -9)\/(-8) + -8 - -7. Let i(x) be the third derivative of 1\/360*x**6 + 1\/36*x**4 + 0*x + 0*x**3 - 1\/60*x**5 - 10*x**2 + y. Factor i(c).\nAnswer: c*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 80, 145, 238, 371, 556, 805, 1130?\n\"Answer: 2*n**3 - 4*n**2 + 47*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-846)\/(-1692)*432\/(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-60) + (-41904)\/3780 - -11.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139 = 115*o - 1736 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(272) + sqrt(272) + -1*sqrt(272))**2).\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 20*d**2\/9 + 26*d\/9 + 44\/9.\nAnswer: -2*(d - 2)*(d + 1)*(d + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 72. Let b = -62 + g. Suppose 75 = h + 2*u, 3*h - 71 = b*u + 109. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37355, -37311, -37267, -37223, -37179?\nAnswer: -37135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + x = v - 28, 438*v - 344*v + 2*x = -744 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -5 (c) -2\/11 (d) -3\/13 (e) -1113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = -8. Let i be (0 - 3)*20\/(-12). What is the third derivative of -8*j**w - 11*j**5 + 3*j**i + j**2 - 4*j**2 wrt j?\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9468*n + 10059 + 12500 = 2024*n - 22105 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100396.\nAnswer: 2, 19, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -21432.95276 to 0 decimal places.\nAnswer: -21433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -25*t**3\/3 + 2481. Let r(g) = -8*g - 9. What is m(r(d))?\nAnswer: -1600*d**2 - 3600*d - 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-228)*148\/(-185). Which is the nearest to 12? (a) -5 (b) -0.2 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*r**5 + 203028*r**4 - 70218555*r**3 + 80005494*r**2 - 7133220*r - 2856600 = 0. Calculate r.\nAnswer: -1\/7, 2\/7, 1, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x**2 - 6*x + 6. Let s = -4 - -3. Let g(b) = 4*b**2. Let a be g(s). Determine v(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.55 + 1.45. Which is the closest to 2\/5? (a) m (b) -0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/99 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 4, a: 1, l: 3}. Give prob of sequence la.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68458271 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32389 is divided by 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*f = 202*f - 8880. Calculate the remainder when f is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 2 - 0) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*h + 7. Find the third derivative of q**5 + 5*q**h + 11*q**2 - 19*q**2 wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u. Let d(c) be the first derivative of -191*c**2\/2 + 7*c - 5803. What is d(o(x))?\nAnswer: 573*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-three eighths of a millimeter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39\/5 + 263\/35. Let d(u) = -u**3 + 4*u**2 - 2*u + 2. Let a be d(3). What is the smallest value in a, v, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k = -18*k + 315 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 45. Solve -b = -12*b - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*a - 2, m + 3*a + 13 = -4. Let y(l) = 3*l + 7. Let g be y(m). What are the prime factors of (-140)\/g - 3\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + -3. Let k be 4\/(-6) - 328\/r. Solve -5*d = -2*d - 5*v - 3, -4*d + v = k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6147 + 7*b**2 + b**2 - b**2 - 2*b + 0*b.\nAnswer: 7*b**2 - 2*b + 6147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-217)\/52 - (-1)\/4. Let z = d - 21\/104. Let o = -2993\/133 + 1\/266. Find the common denominator of o and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) 14 (d) -5 (e) 6 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6437874204326 - -15.\nAnswer: -6437874204311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 18*i - 10. Let t be s(-13). Let r = 55 - t. What is the remainder when 29 is divided by r*(-3)\/(-3) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*j**3 + 2 + (0*j**2 - j**2 + 4*j**2)*(-4*j + 6*j - 4*j) + 87*j - 2*j**2 - 87*j - j**3.\nAnswer: -5*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4006*m - 272366. Determine p(68).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*i**2 - 328*i**2 - 18*i**2.\nAnswer: -569*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64469 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 - 905*a + 999. Give m(112).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238.228 - -3.228. What is the fifth biggest value in 0, a, -0.4, -0.2, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132\/247, -104.6, 6 in descending order.\nAnswer: 6, -132\/247, -104.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.94 + 0.14. Let w = 1.2 - i. Which is the smallest value? (a) -5 (b) 2\/7 (c) w (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107*b**2*c**2 + b*c**3 - 75*c**3 + c wrt b?\nAnswer: -214*b*c**2 + c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51377, 205505, 462385, 822017, 1284401?\nAnswer: 1849537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -858 and 17.\nAnswer: -14586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 3976 and 3976 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -793.26 - 11.74. Let h = 805.0347 + g. What is h rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2.6, 0.14, -0.6, -5 in descending order.\nAnswer: 2.6, 0.2, 0.14, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from scnfckkknk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 - 34. Suppose w + g = 3*w. What is the remainder when w is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30513447, 30513447, 30513445, 30513441, 30513435, 30513427, 30513417?\n\"Answer: -g**2 + 3*g + 30513445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 7*r - 6. Let f be d(1). Suppose 0 = -p - f, 3*c = 2*p + 17 + 356. Suppose -2*v = 3*v - 410. Calculate the greatest common divisor of c and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-3400)*2800\/140?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o + 4. Let q = -5 + 2. Let d(m) = -m**2 + m + 5. Let v(n) = q*c(n) + 2*d(n). Let z be 10\/(-4)*6\/(-10)*2. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -166, -186, -226, -292, -390?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = 0. Is q - -287 - 0\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 50 = -3*u, -u - 3*p + 20 = -0*u. Suppose 0 = -g + u - 4. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3168, 16301, 38192, 68841, 108248, 156413, 213336?\nAnswer: 279017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1539)\/(-133) - (37\/4 + 3\/(-12))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k - 5. Let h(u) = 15*u + 8. Let j(l) = -8*d(l) - 5*h(l). Let b(f) be the third derivative of -f**4\/12 + 56*f**2. Calculate b(j(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 126838*i.\nAnswer: 126838*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 2. Let a(q) = 5*q + 3. Let x(s) = -5*a(s) + 6*d(s). Let i be x(3). Solve 5*o = 2*o - i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*i**6 - 3*i**2 - 22?\nAnswer: -6600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 552686596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.4, 5, 3, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -989?\nAnswer: -9\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.509522 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/320)\/((-4)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 92 = 4*z, f = -5*z - 8 - 8. Let c be (1\/2)\/((-9)\/f). Determine t so that 0 + 0*t**c - 1\/5*t**3 - 1\/5*t**5 + 2\/5*t**4 + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1066060 divided by 5\nAnswer: -213212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 y when four letters picked without replacement from bbddybdydybdb?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -8 - 5 - (65 + -70)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-1\/2))\/w)\/(w\/w**(-21\/2))*(w*w**(1\/3))**(-2\/35) assuming w is positive.\nAnswer: w**(-1163\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 + 28*k**3 - 9*k**3 + 25*k**3 + 0*k**3.\nAnswer: 44*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - -2 - (-4 - -6). Let o be ((-4)\/3)\/((-8)\/k). Let n(c) = c**o - 7*c + 3*c**2 - 3*c**2 + 6 + 0. Determine n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1278 - -25\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2, 367, -17 in descending order.\nAnswer: 367, 5, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9358953 is divided by 779912.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32455, 64908, 97361, 129814, 162267?\nAnswer: 194720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4 and 33\/1250?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = -6*j. Let r be ((-6)\/18)\/(j\/6). Let -4*t**2 + 14*t + 5*t**3 - 19*t**3 + 6 - r = 0. What is t?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o. Let s(j) = 38*j**2. Determine g(s(h)).\nAnswer: 190*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 5*p - 1.\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5\/2, 0.5, -357, 37, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*-84*(-19)\/(-38). Let o(p) = 3*p**2 + 4*p - 7. Let s be o(-7). What is the greatest common divisor of c and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384*g**2 - 1391*g**2 - 10*g**5 - 22*g**4 - 14*g**3 + 2773*g**2 = 0 for g.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 819027.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39255453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 591 + 3296. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*z - 2, -3*q - 5 = -3*z + 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -0.3 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 9118.3 in ascending order.\nAnswer: -2\/5, 5, 9118.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.06 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73646 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 74. Find the third derivative of -1 + 2*y**2 + 0*y**2 + 2*y**2 - d*y**2 - 41*y**3 wrt y.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsv when three letters picked without replacement from vimgvmdmivdmmsmdmig.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**9\/72 - 3*k**5\/20 + 13*k**2. Find the third derivative of b(c) wrt c.\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znn when three letters picked without replacement from inuiiuinnniiqiiiz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37958*h**5 + 266546*h**2?\nAnswer: -2277480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 15 - 5. Let i(h) be the third derivative of -h**6\/120 + 7*h**5\/60 - h**4\/8 - 2*h**3\/3 - 2*h**2. Is i(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a + 0*a)*(-4 + 4 + 7 + (-2 + 1 - 2)*(0 - 2 + 1) + 4 + 1 + 4) as m*a + q and give m.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(176)\/(sqrt(8) + sqrt(32)\/sqrt(4) + sqrt(8)))\/(sqrt(704) + sqrt(704) + -6*sqrt(704)*-2 + sqrt(704) - -6*sqrt(704)*-1).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.6 + -24. Let u = w - -1.4002. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -78\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12707 + 1230 = -4*o + 5*k, -3*o = 5*k - 8564. Suppose -5*h = 2*z - o, 2*h = -24*z + 21*z + 1143. List the prime factors of h.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 7*y + 1. Let q(s) = s**2 - 8*s - 2. Determine 6*o(p) + 5*q(p).\nAnswer: -p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 15, 13, 5, -9?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*i - 35 = 0, -f + 11 = f - i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -5 - ((sqrt(7) + -2 - sqrt(7)) + 4) - (5 + 5*sqrt(42)\/sqrt(6)))**2.\nAnswer: 96*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 36*h = 0. Suppose -4*v - 61 = -d + 102, h = -5*d - v + 836. List the prime factors of d.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-2))\/((-2)\/(-76)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -597, -1477, -2709?\nAnswer: -4293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0169854 micrometers in nanometers?\nAnswer: 16.9854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (1 + 0 + (-90)\/(-15)). Which is greater: -13\/6 or d?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 2*f**3 - 5*f**3 - 3*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01460752985 to six dps.\nAnswer: 0.014608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184200 a multiple of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4))\/(15\/42).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.1749 and 1.63.\nAnswer: -1.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(5\/8))**(-17)\/((s*s**(1\/2)*s)**4*(s**(2\/5))**(-18)) assuming s is positive.\nAnswer: s**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585635 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138822800 rounded to the nearest 100000?\nAnswer: -138800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 255*f - 1258. What is the thousands digit of b(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**2 - 71*a + 52. What is c(8)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 - (-7 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**21*h*h*h\/(h\/h**(-17)))**(-5))**22 assuming h is positive.\nAnswer: h**(-770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 15*h + 7. Give d(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750336671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6735 is divided by 3129?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27290243*f**3 - 7*f**2 + 644032.\nAnswer: -163741458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 27*i - 124. Let d be h(21). Solve -d*c = -2*c + 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -14?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*h + 3*h. Let u = h + 32. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + v = -279 + 264, -2*n - 3*v + 8*v + 53 = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(117) + 4 + -3))**2 - 3*((sqrt(13) + (sqrt(325))**2)*6 - (sqrt(117) + (-1*sqrt(117) - sqrt(117)))\/sqrt(9)).\nAnswer: -4788 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77690, -77685, -77676, -77663?\nAnswer: -77646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239598061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -34*p - 8 + 61*p + p**2 - 29*p. Let q be b(7). Suppose -4*o = -2*x - 216, q = o + 2*x - 32. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d**3 + 49*d**3 + 279*d**2 - 279*d**2.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 170951332*a\/3 + 56983777\/3.\nAnswer: (a - 56983777)*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22956466 and 8334.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 7*c - 666. Calculate the remainder when 695 is divided by v(30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 4*h - 3. Let y be d(3). Suppose -g - 6 = y*p - 1, -5*p + 1 = 4*g. Suppose 0 = -s - z + 14, 0 = -z + 2 - 3. Solve -s = g*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11698*v - 1368696. Determine w(-117).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxii when four letters picked without replacement from iiojooixoo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) 149\/2 (c) 69\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c + 160 - 345 + 136. Let a(y) = 4*y**2. Calculate r(a(d)).\nAnswer: 32*d**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let r(q) = -6*q + 168. Give -2*r(i) + 10*u(i).\nAnswer: 2*i - 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 3*d + d)*(d**2 + d**2 - 4*d**2)*(23 - 5*d - 23)*(-3*d - 2*d + 3*d).\nAnswer: -60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 629 = 5*u - 2*w, 632 = -5*u + 4*w. Is -122 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3*n + 3, 18*h = 19*h - 4*n - 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y + 3*b, 4 = -y + 2*y - b. Suppose -4*v = -12 - 4. Solve -v*a - 5 = -y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 4\/(2 - -2). What is the remainder when n\/(-14) - (-1448)\/56 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315104327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.03 - 29.73. What is the fourth biggest value in w, -0.2, 12\/7, 0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2796 + -16831\/6. Calculate the common denominator of 85\/16 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = m - 6, -5*m + 6 = -4. What is the second derivative of -1 - i - 4*i**y - 2 + 3 wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/10*r**5 - 4\/3*r**3 - 1\/30*r**6 - 12*r + 0 + 2*r**2 + 1\/4*r**4. Factor d(s).\nAnswer: -(s - 2)*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*l = 54, 3*w - 3*l + 0*l = -36. Let c be w\/9*-3 + 4. Suppose 8*r = c*r. Solve -b = -3 - r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27232*z**4 - 9436*z wrt z?\nAnswer: -326784*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -42?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + ((sqrt(33) + sqrt(825))*3 - sqrt(33)))\/sqrt(11) + 3.\nAnswer: 3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670148645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 2*d - 3286 = 0. Calculate the remainder when 449 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 3*j - 2*j)*(1 - 6 - 2) + (3 - 3 + 2*j + (3 + 2*j - 3)*(1 - 1 - 1) + j - 3*j + j + (-4 + 1 + 1)*(0*j + j - 3*j))*(-5 + 5 + 1).\nAnswer: 59*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**3\/3 - 193. Let s(u) = -u**2 - 25*u. Determine s(x(g)).\nAnswer: -4*g**4 + 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -58. Let g = y + 47. Is g*2*11\/22 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a**2 - a - 2*a**2 + 3*a**2 - 2*a**2 + (a + 0*a - 2*a)*(-3*a - 2*a + 3*a) - a**2 + a**2 - 4*a**2 + 0*a + 2*a**2 + 0*a)*(13*a - a - 4*a).\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = 12*p. Calculate the remainder when (-87)\/2*(-5 - p) is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/((-105)\/(-7)))\/11)\/(-1)*671?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 0, -2*a + 25 = 4*z + 1. Solve -q + 3*m = -2*m - 23, z = -q - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 - 26829*h - 28203368 = 0?\nAnswer: -25733, -1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 103\/6 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 85*d**2 + 166*d.\nAnswer: d*(d - 83)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:41 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = b - 79, -4*b + 0*b + 120 = 5*y. Suppose -2*m = -1 + 5. What are the prime factors of 0 + (-2 - y\/m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 34. Let u = l + 16. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:14 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 + 4*c**2 - 16*c + 4. Find j, given that a(j) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 21, -0.5, -1, 2\/29, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 293 - 0?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15387 - -15393. Solve 2*j = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*4 - 4*-1*sqrt(110))\/((sqrt(640) - (sqrt(640)*1 - sqrt(640))) + sqrt(10) + sqrt(1440)*-2).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 2*q**4 - 5*q**3 - q + 5*q**2 - 6*q**2.\nAnswer: q*(q - 1)**2*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -523. Does 35 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26517567*r - 3 + 26517572*r + 3.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 2347196*h\/3 - 17994464.\nAnswer: -4*(h + 23)*(h + 586776)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564, -1120, -1676?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4818 divided by -435.\nAnswer: -1606\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313662355 to the power of 1\/2, to the nearest integer?\nAnswer: 36244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115133 (base 6) in base 5?\nAnswer: 14301202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139767 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 343021538 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.5 less than 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - -103 - (0 - -1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 2*x**3 + 0*x**3)*(x - 2*x + 2*x) - x**4 - 2*x**4 + 2*x**4 + 3*x**4 - x**4 + 0*x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 13. Is 7 a factor of u(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 102*n**2 + 2*n**3 + 60*n**2 - 11 + 41*n**2 to o*n**3 + b + f*n**2 + m*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -230*l*s - 111*l + 1 wrt s?\nAnswer: -230*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -283.1685441 to two dps.\nAnswer: -283.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 2. Let b(f) = -2 + f + 5*f + f**3 - 9*f**2 + 2*f. Let g be b(8). Let z(m) = 12*m - 27. Give g*z(p) + 27*j(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 3*b**3 + 8*b**2 - b**3 - 4*b**4 + b**2.\nAnswer: -4*b**2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*w - 10 = 5*b + 956*w + 4, 6*w = 5*b + 38 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36339 + 36557. Calculate the remainder when 8282 is divided by u.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43362 and 488970.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -171*v**2 - 3705*v + 1251. Give k(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.69 + 78.69. Let l = s - 136. Let u = -58 - l. What is the nearest to -31 in -1\/3, u, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 3. Suppose -b = -5*z - 0*b + 18, -3*z + 6 = -3*b. Let l(p) = z*p**2 + 7 - 7 - 5*p**2. Give -g(y) - 4*l(y).\nAnswer: 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*14\/21)\/((-96)\/120).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -1 - (-44 + (29 - 4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 5*q - 4. Let l be d(-6). Let n(j) = -j**3 - 8*j**2 + j - 10. Let p be n(-8). Let k = -17 - p. Put -5, k, l in increasing order.\nAnswer: -5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - j = -16 - 100, -3*j = -x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/9)*n*n*n*n\/(n\/(n**(-1\/4)*n))*n*n*n\/n**(11\/4)*n**(-14) assuming n is positive.\nAnswer: n**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40326915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2621, 2630, 2637, 2636, 2621, 2586, 2525?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/132 and -3 + ((-12)\/(-3) - ((-442)\/(-220))\/(-13)).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 66. Let p(k) = -2 + 1 + 1 - 5*k**x. Let t(y) = 13*y**2. Determine t(p(m)).\nAnswer: 325*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w - 3. Let q be c(2). Let p be ((-6)\/(-2))\/((-3)\/(-13)). Let d = q - p. Calculate the smallest common multiple of 10 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(13*v + 3*v + 2*v) - 2*v + 0*v + 4*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -492280 (c) 2 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y**2 - 2*y. Let g be r(3). Let p = g - 6. Calculate the smallest common multiple of p and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 3. Suppose -g = 5*z + 3*o - 0*o, -4*z = -2*o + 20. Let q(y) = 2*y - 3. Let r(m) = -2*m + 2. Determine z*r(l) - 4*q(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6443 - 1407 + 5263 - 3*q to the form h*q + k and give k.\nAnswer: 10299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -62361\nAnswer: -12472.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(891))*6.\nAnswer: 30 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1048593626 to three decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amna. Give prob of sequence nm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -9 + 0*m**2 - 2*m + 1\/2*m**3. Let d(p) = 39*p. Calculate d(q(u)).\nAnswer: 117*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - 1419?\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 140666?\nAnswer: 5\/70333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 4?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*i + 3*i. Suppose 0 + i = -w. Calculate the remainder when 83 is divided by (-8 - w)*(-1 + -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45188 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 677*g**4 + 28892*g**3 + 389872*g**2 + 1550752*g - 1970192.\nAnswer: -(g - 718)*(g - 1)*(g + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 6*q**2 + 3. Let y(t) = -7*t**3 + 13*t**2 - 7. Calculate -7*a(f) - 3*y(f).\nAnswer: -7*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12564 and 4068?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 162360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (318\/(-1272)*3\/17)\/((-30)\/16)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12279 - -12278.992663. What is v rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -43\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 3 = 11*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 12*y**2 - 4*y - 17. Let f(b) = 12*b**3 + 27*b**2 + 6*b + 35. Let r(k) = -2*f(k) - 5*t(k). Calculate r(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 712, -5.\nAnswer: -5, -4, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:11 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 (base 7) in base 16?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -382846a (base 12) in base 16?\nAnswer: -a7ea92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1540, -1539, -1538?\nAnswer: -1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(833) - (3 + sqrt(833)) - -2*sqrt(204)\/(sqrt(12) + -2*sqrt(24)\/sqrt(2))).\nAnswer: 18 + 222*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*r = -12, -p - 4*r - 16 = -0*p. Suppose -1988 = -p*v - 472. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g + 4*g - 1 - 4*g**2 + 3*g + 2*g.\nAnswer: -(2*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 59. Let y = 12 - -28. Suppose w*s - 107 - y = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - 27 - (-5 - (-5 - 3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 222*y - 246*y + 1056. What is the highest common factor of y and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3182121, -3182405, -3183181, -3184695, -3187193, -3190921, -3196125, -3203051?\n\"Answer: -41*a**3 + 3*a - 3182083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qatr when four letters picked without replacement from tjqqtqqqrrrrraqqqq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2322 or -3?\nAnswer: -2322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {r: 7, m: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 24. Let q(t) = -8*t + 60. What is -12*d(m) - 5*q(m)?\nAnswer: 4*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -620 + 620. Let -5\/3*d**2 + 2\/3*d + j = 0. What is d?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30113 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1788291 or -1?\nAnswer: 5\/1788291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 15. Let z be w(-6). Let d(u) = 3*u**2 + 11*u - 11. Let v(h) = -10*h**2 - 33*h + 33. Let s(l) = -7*d(l) - 2*v(l). Is s(z) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15958.\nAnswer: 2, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*sqrt(70)*2)\/((sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80)*1 - sqrt(80)))))\/sqrt(8)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1748*g**2 - 1727*g**2 - g. Let r(b) = 98*b**2. Determine q(r(w)).\nAnswer: 201684*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 36.05\nAnswer: 28.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -782919\/102680 - 2\/12835. Let z = 6471 + -103583\/16. What is the common denominator of z and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193874 is divided by 16155?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = i, -2*r - 2*r = -3*i + 2. Suppose 2*s + y = -i*y + 17, -y = 3*s - 8. Let m be ((0 + 0)*s)\/2. Solve -c - 1 - 2 = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and 96 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:36 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 4*m - 8. Calculate s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 168, 367, 588, 825, 1072, 1323?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3 (b) 1.5 (c) -3 (d) -2\/11 (e) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k**2. Let u(b) be the second derivative of b**3\/6 + 11*b. What is x(u(l))?\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/4 + 2*s**3 - 2*s. What is the tens digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 9*j - 1. Let g(v) = -v**2 - 3*v. Let q be ((-5)\/(-4))\/(390\/624). Determine q*p(n) - 7*g(n).\nAnswer: n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from vgyggyggggyyy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*j = -197507151 - 303074772 + 101196323. What is j rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 0*a + 0*a)*(a**3 + a**2 - a**2) + (2 - 2 + 2*a)*(2*a**3 + 0 + 0) + 2*a**2 + 2*a**4 - 2*a**2.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*p = 3*p + 31, 3*x - 4*p = 7. Suppose -4*j + 4*t - 7065 = -x*j, t - 1414 = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.09, -461 in decreasing order.\nAnswer: 0.09, -2\/13, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from ffjkqfkjffjfjjfkkfk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 2, -0.03, -0.002 in decreasing order.\nAnswer: 2, -0.002, -0.03, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 2*z, -x - 2*z + 2 = -3*z. Let t(h) = -113*h + 9375. Let m be t(83). Put x, m, -79 in decreasing order.\nAnswer: x, m, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**9\/3024 + b**6\/120 + b**3\/2 + b. Let l(y) be the second derivative of v(y). Find the third derivative of l(k) wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0533 + 14.4033. Let l = i - 15.431. Round l to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 853 = -2614. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a - 25. Suppose d - 23 = 2*g - 0*g, -2*g + 4*d = 26. What is the tens digit of o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 7. Let w be o(3). Let k(r) be the second derivative of r**5\/20 - r**4\/3 + 5*r**3\/6 + r**2\/2 + 37*r. Does 18 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let y(s) = -41971*s + 25. Determine c(y(l)).\nAnswer: -125913*l + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 6 - (-5 + 11 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 3. Let q(z) = -6*z - 2. Let b(y) = -5*n(y) + 6*q(y). Let c(p) = 2*p - 8. Suppose 76*v = 80*v + 12. Calculate v*c(u) - 8*b(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -809*q + 808*q. Let y be 25949999\/3 + (q\/(-24))\/11. What is y rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001295643292 rounded to seven dps?\nAnswer: -0.0012956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 + 9. Let p(h) = h**2 - 2*h**3 + 4*h**2 - 4 - 5*h**2. Let a(q) = 7*p(q) + 3*u(q). Differentiate a(w) with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*k**3*z + 2*k**2*z - k*z - 4*k + 4*z - 9 wrt k.\nAnswer: -741*k**2*z + 4*k*z - z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6710 + 6710 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -823*k**5\/20 + 1529*k**3\/2 - 3284*k**2. Differentiate v(w) with respect to w.\nAnswer: -4938*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11700044 and -222.91.\nAnswer: -11700266.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c + 1. Suppose 34 = -21*f - 29. What is a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 20 = 6*s. Find the second derivative of 4*f**5 + 3*f**5 + f - 5*f**4 + s*f**4 wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 60. Suppose -6*l = 3*z - 2*l - 108, l + 180 = x*z. Let y(s) = -32*s + 5*s**2 + z*s - 3 + s**3 + 5. Give y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-33)*24\/32*1\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*((-20)\/25)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -19*f + f. Solve 5 = f*r - 4*l + 3*l, 2*r + 8 = 4*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28165151309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/9, -5, 0, 4, 9, 0.009?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*j + 88*j + 85*j - 26)*(3 - 26 + 11).\nAnswer: -24*j + 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 1. Suppose 4*a + x = 5, a = -0*a - 2*x + 3. Let b be k(a). Solve b = 6*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/28*3 - (-1)\/(-4). Suppose -w*t + 8 = 2*t, 2*t - 87 = -k. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q + 405 = 61*q - 295 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*v + 15 = -3*f, -5*f + 2*v = 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 800950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 16, 85, 228, 469, 832?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1859711 or -1859661?\nAnswer: -1859711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uluulluuuuluuluuuu?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1211 - 1263. Let g = -23.9 - -24. Sort z, -0.2, -0.3, g in decreasing order.\nAnswer: g, -0.2, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 7) + 5 - (11*-17 + 0). Solve -x*r = -179*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*s + 10 = 0, p = -p - 5*s - 17. Let o be (-5)\/(1 - 0)*p. Suppose -102 = -5*r + 3*i, 3*r - o*i = 41 + 17. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 8*y**2 + 2*y + 8. Give x(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23322668 divided by 2.\nAnswer: 11661334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*x = -467*x - 140 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26040 + 26008 = 16*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-1)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -32530490 = -162652444\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 676*m + 561*m + 1646 - 270*m + 9*m wrt m.\nAnswer: 976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1 - sqrt(143))*5)\/(sqrt(11) + sqrt(11) + (sqrt(99)*-2 - sqrt(99))) + (3 + -5*(0 + sqrt(208) + sqrt(208)))**2.\nAnswer: -240*sqrt(13) + 20809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - 0?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**3 - 11*b**2 + 40*b + 10. Let l(w) = -11*w**3 + 23*w**2 - 93*w - 20. Let z(r) = -9*d(r) - 4*l(r). Give z(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/140 - 47*d**4\/56 + 24*d**3\/7 + 2*d**2 - 35. Factor o(u).\nAnswer: -3*(u - 1)*(u + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -19, -20, -17, -10?\n\"Answer: 2*c**2 - 11*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 418, 630, 842, 1054, 1266?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 370381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.97 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -35*f**4\/4 - 15*f - 1. Let y(q) = -2*q**2. What is l(y(x))?\nAnswer: -420*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 - t**3\/2 + 3*t**2\/2 + 27*t + 2. Determine z(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 5\/6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000405487 rounded to seven decimal places?\nAnswer: 0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -589323, -589321, -589319, -589317?\n\"Answer: 2*u - 589325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1440306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1) + (-6 - -3). Determine i so that -2\/3*i**x - 4\/3*i - 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/3 - 7*n**3\/6 - 4*n**2\/3 - n\/2 = 0?\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171.497 + -172.7. Let a = y + 1.28. Let l = -0.015 + a. Round l to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, j: 2, i: 1, t: 2}. Give prob of picking 2 d.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w\/w**(-12)))*w*w**5 assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1409*l**3 - 1182*l**3 + 2580*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -100\/3. Let y = 0.278 + -0.278. Which is the closest to 0? (a) g (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -4)*6*(-5)\/(-15). Calculate the common denominator of (-6 - (-165)\/20)\/(14\/u) and -23\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -32, -57, -100, -167, -264?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/314522 and 41\/1170.\nAnswer: 14153490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -6*v + 3*v. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355868 times 0.114\nAnswer: 40568.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/3467 or -1?\nAnswer: -26\/3467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 445300*b*t**3 - b*t**2 + 2*b - 30*t**3 + 3*t - 73048 wrt b?\nAnswer: 445300*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.3. Let c be 3\/3 - 6\/9. Suppose 3*p + 2*p = 0. What is the nearest to c in -3\/5, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*p - 4 = 0, -3*p = 3*t + 2*t + 5. Let r be -35 - -30 - (-22)\/(-2). Sort -5, r, t in decreasing order.\nAnswer: t, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 10:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/4 + d**3\/4 + 6*d**2 + 9*d = 0. Calculate d.\nAnswer: -3, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) -304 (c) -2\/13 (d) -0.2 (e) -212.4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3681*a + 3634*a + 1888836 = 0. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4242212 years in millennia?\nAnswer: 0.0004242212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4*d. Let t be (-4 - -3)\/(6\/4 + -2). Suppose -b = -4*j + 7, t*j - b + 0 - 1 = 0. What is p(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 19782855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8080, 3\/7 in decreasing order.\nAnswer: 8080, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -367*w**3\/6 - 41*w. Let g(j) = 2*j. What is g(z(u))?\nAnswer: -734*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -39*u**2\/2 - 26*u + 541. Calculate the remainder when (113\/2)\/((-1)\/(-2)) is divided by k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/((-6)\/(-9)) - (-199 + (6 - 17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + -2. Let a = -76.2 + 77. Let s = t + a. Put 2, s, -2 in descending order.\nAnswer: 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1. Let y(k) = -6*k + 17. Let w(r) = u(r) + y(r). Let x be w(10). Is -44 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -52*(1 - (-6)\/(-4)). Suppose 3*y = 2*m + 14, 0*y + o = 5*y - 2*m. What is the least common multiple of ((-8)\/y)\/(2\/(-9)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -765, -1218, -1691, -2190, -2721?\nAnswer: -3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 + 4. Let d(u) = 4 + 19 - 6*u**2 - 18. Let l = -3 - 2. Determine l*r(n) + 4*d(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564449 is divided by 2048?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 25 = 2*u + 19, 564*u = 565*u + 2*h + 9*h - 28 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, 6, 1, -13, 5 in ascending order.\nAnswer: -13, 0, 1, 5, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 4*q + 7*q + (0 - 1 - 1)*(0*q + 2*q - 5*q) to a*q + c and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47500*h**4 + 2*h**3 - 4665030*h.\nAnswer: -570000*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 11*s**2 - 56*s + 57. Give t(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 643660, 0, 6.\nAnswer: 0, 6, 643660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus -13.03227486?\nAnswer: 12.97227486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 15*s)*(3*s**4 + 0*s**4 + s**4).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10281*0.10652\nAnswer: 1095.13212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144123311 (base 6) in base 5?\nAnswer: 1231401430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 82*k**4 - 4*k**3 + 12*k**2 - 5*k + 1. Let d(f) = -f**4 + f**3 + f**2 + f. Let l(g) = c(g) + 5*d(g). Find the third derivative of l(q) wrt q.\nAnswer: 1848*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0 + 2 - 3 - m. Suppose 6 = 5*o - 24. Calculate the least common multiple of o and s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 395*q**3 - 2*q**2 - q + 233*q**3 + q**2 - 506*q**3 in the form f*q**2 + r*q + v + h*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**8\/8400 - u**7\/1400 - u**6\/1800 + u**5\/200 + u**3\/2 - u - 17. Let h(r) be the second derivative of b(r). Factor h(t).\nAnswer: t*(t - 3)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276105 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 69 + 130 = -2*y + 20, 0 = -5*p - y - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1 - 5) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1452 - 20\/(-5)) + (-30)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10438 - 10433. Which is the fifth biggest value? (a) 4\/3 (b) 5.4 (c) f (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/5, 23, -0.5, 57, 2.\nAnswer: -2, -0.5, 3\/5, 2, 23, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 divided by 973?\nAnswer: -454\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -1. Let y = -1.15 + a. Round y to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2 + 19*s - 19. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -23*n - 180. Determine r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 314573*l\/2 - 6920485\/4.\nAnswer: -(l + 11)*(l + 629135)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of -16*(4 + -98) + (-8 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*j**4 + 947*j - 6477*j + 3*j**4 + j**2 + 734*j + 20*j**3 wrt j.\nAnswer: 672*j**2 + 120*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(540) + sqrt(540) + -1*sqrt(540) + sqrt(540) - sqrt(540) - sqrt(540))\/(sqrt(432)*2 - sqrt(12)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -5 - -5) + -38 + 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.051 + 0.071. Let u = n + 0.28. Which is the nearest to u? (a) 0.1 (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 412, 397, 346, 247, 88?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = q - 55 - 36, 193 = 2*q - 5*p. Suppose 350 = 8*k - 74. Let g = q - k. Calculate the least common multiple of g and 11.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -210, 5, -3.19, 3 in descending order.\nAnswer: 5, 3, 1, -0.1, -3.19, -210","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 11000000101001 (base 2) to base 6\nAnswer: 133025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5848\/(-43) - (18 - 1))*(250\/(-30) - -9).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6)*(-219)\/(-1022).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 8. Let r be k(6). Let v = 4.6146 + -3.6146. Which is the closest to 0.34? (a) v (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86715 and 33.\nAnswer: 953865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 83276838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p**3 + 61\/40*p**6 - 1\/12*p**4 - 7\/30*p**5 + 0*p + 0 + 73*p**2. Find the third derivative of j(m) wrt m.\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/(q*q\/(q\/((q*q**(2\/13)*q)\/q)*q)*q) assuming q is positive.\nAnswer: q**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 950, 1883, 2816, 3749, 4682?\nAnswer: 5615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Suppose 3*l + n*l - 12 = 0. Let z(b) = -b - 6*b + 5*b + l*b. Let w(k) = 10*k**2. What is z(w(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23067 + -0.00032. Let i = h + -0.2343446. Let l = i + 0.004. What is l rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 55. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -179\/3, -3, -1 in descending order.\nAnswer: -1, -3, -179\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9256*h + 35056*h + 50896*h + 30832*h - 2720*h.\nAnswer: 123320*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10414747 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -63598.08 to the nearest 1000.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/3 - 4958*r**3\/3 - 1462104*r**2 - 529242336*r - 60779424384 = 0.\nAnswer: -756, -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*r + 16 + 6, 5*r = 5*p - 30. Let l be 16\/(-12)*r\/(-12). Let n be 6\/(-6) + (-8)\/(-6) + -1. What is the closest to -0.2 in n, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.052 and 1060?\nAnswer: 1059.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**2 + 1215*n + 1781. Determine r(123).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000715761077 to five dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1132*i + 452*i - 555*i - 46930 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11649, 46738, 105417, 187848, 294193, 424614?\n\"Answer: 27*u**3 + 11633*u**2 + u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -18101445 and -18101444 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let g(o) = 3945044*o**2. What is g(l(m))?\nAnswer: 15780176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-10))\/(2\/90). Suppose -9 - v = -3*x. What is the smallest common multiple of (-1)\/(4\/4*-1) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 3974 = -24726. List the prime factors of r.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21583 and 36481?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 83 = z, 24 + 5 = p + z. Let m(y) = 5*y - 110. Let w be m(p). Solve -5*l - l = -w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84778, 169558, 254338?\nAnswer: 339118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-5)\/((-3)\/(-3)). Suppose n*i = 5*i + 60. Sort -2, 4, i in descending order.\nAnswer: i, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389091.\nAnswer: 3, 23, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w**3 - 107*w**2 + 18*w - 4. Let t(h) = 59*h**3 + h. What is the least common multiple of t(1) and d(7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -570\/11, -3, -2\/1369?\nAnswer: -2\/1369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, x: 2, h: 4, b: 3, n: 2}. What is prob of picking 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4 + 3)*6\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -69, -76, -85, -96?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 4, -3, -640, 2, -5 in decreasing order.\nAnswer: 60, 4, 2, -3, -5, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*w**(-2)\/w*w))**(-31)*(w\/(w\/w**(-2)))**(1\/10)*(w*(w*((w**1\/w)\/w)\/w*w)\/w*w*w**(-4\/11))**(-36) assuming w is positive.\nAnswer: w**(-1271\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -93*s**3 - 2*s**2 - 2*s - 2. Let h(u) = 48545*u**3 + 1045*u**2 + 1045*u + 1045. Determine -4*h(r) - 2090*w(r).\nAnswer: 190*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:43 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41.55, -307, 1\/2, -0.1, -0.5?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10342 (base 5) to base 16\nAnswer: 2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(120)\/sqrt(5))\/sqrt(12) - sqrt(2)*-3*-4 - (sqrt(6)*1*-4)\/(sqrt(363)*1).\nAnswer: -106*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = v + 2, 5*v + 3*j - 2 = -0*v. Suppose 3*s = -2*m + v - 4, -2*s = -m + 16. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2\/7 + 5015271*b\/7 - 15046002 = 0.\nAnswer: -1671778, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 378\/(-105). Let t be g\/8*-8 - 8. Is t + -6*(-428)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441630.\nAnswer: 2, 5, 37, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(147))**2)*-5.\nAnswer: -765 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -137. Suppose u*j - 36*j = -1347. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (966\/18)\/(-1) - -1*((-20)\/15 + 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -19*j**5\/20 - 13*j**3\/3 + 6*j**2. Differentiate c(m) wrt m.\nAnswer: -114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43359.9l?\nAnswer: 43359900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*(30\/8)\/(90\/210)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/(-105) + -2*(-2122)\/14.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5309, 5307, 5305, 5303?\nAnswer: 5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = 13. Suppose n*t = 6*t - 4. Let l(c) be the third derivative of -c**6\/120 - c**5\/12 - 5*c**4\/24 - c**3\/3 - 12*c**2. Determine l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007079973 to six dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from pyypypyypyy?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168\/11 or 16?\nAnswer: 168\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -2) + (1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65611003346 - 1?\nAnswer: 65611003345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1342 + -3?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10256 - -10260. Sort 18, 13, m in ascending order.\nAnswer: m, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 2. Let f(s) = s + 1. Let g(a) = -3*f(a) - 2*t(a). Let x be g(-3). Let h be (-1 + 0)\/((-2)\/x). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 - 2*u - 8. Let z be g(8). Is 3310\/z + 5\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-462)\/10)\/(-7) + -6. Sort z, 0.2, -20 in ascending order.\nAnswer: -20, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjezw. Give prob of sequence rwe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u + 3. Let s(n) = 8*n - 3. Let w(d) = -5*b(d) - 6*s(d). Let q be w(13). Suppose -27*f = -q*f + 16. Solve 3*v + 1 = -f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.3 (c) -131 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + y**2 + 1 + y**3 - 2*y + 4*y. Let q be l(-3). Differentiate q*i + 5*i + 1 - 4*i wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133242?\nAnswer: 2, 3, 53, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 7*n - 142, 3*n + 63 = 1491*i - 1489*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 + -0.26. Let d = -2.7 - -0.7. Let j = 18.7 + -15.7. Which is the closest to y? (a) j (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2554, 2563, 2586, 2629, 2698?\n\"Answer: k**3 + k**2 - k + 2553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**0)**29)**(2\/97))**11)**(-28) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 349 + -184. Let y = m - 158. What is the third biggest value in -3\/2, y, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -207 - 33. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000443 rounded to seven decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 7.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -8.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1425 and 1197?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:25 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -12. Suppose -14 = -2*f - n*h, f - 1 = -4*h + 6. Calculate the remainder when 12 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.40698 and 9.\nAnswer: 3.66282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 14689822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 - 2*o - 3. Let h be 4\/(-6) + (-148)\/12. Let z be h\/5 - 2\/5. Let p be f(z). Let q(w) = w**3 - 3*w**2 + w - 2. Calculate q(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43600*o**3 + 50*o**2 - 35660*o + 36 wrt o.\nAnswer: 261600*o + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 2:07 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368 = 3*i - 6*i - a, -3*i - 5*a = -1356. What is the remainder when i is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 29*a - 227. Let l(r) = r - 179. Calculate w(l(v)).\nAnswer: 6*v**2 - 2177*v + 197210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*(a\/a**34*a)\/a)\/(a\/a**(2\/35))**10 assuming a is positive.\nAnswer: a**(-346\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2387\/104 - -300\/13. Sort 0.3, -17\/4, j in ascending order.\nAnswer: -17\/4, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 + 505. Suppose 0*d + l = 4*d. Let a = -182 + 209. Calculate the greatest common divisor of a and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 108475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15\/120)\/((-35)\/100)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (11 - (0 + 11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-14)\/315)\/(((-8)\/(-20))\/2)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28611836?\nAnswer: 2, 11, 650269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-25)*(-1840)\/(-736)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 19*o = 9*o - 380. Solve 0 = -7*n + q + o + 2, 2 = q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -12*s - 68. Which is the fourth biggest value? (a) -0.2 (b) s (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6323 + 1577 = -125*x + 3129 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:53 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*n - 102, f + 0*n - 53 = n. Is f 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 {g: 3, l: 3, a: 1, y: 1, o: 5, k: 6}. What is prob of picking 2 o?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1257384, -1257392, -1257406, -1257426, -1257452, -1257484?\n\"Answer: -3*t**2 + t - 1257382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 - 78*q**2 + 8*q + 28. Determine c(-6).\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + u**2 + u**3 + 4*u**2.\nAnswer: u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1694731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3989107912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:08 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j = -2377 - 1067. What is the highest common factor of j and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24904\/418 - 256\/(-608)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5, -2*t + 2*c - 12 = -t. Let x be (-4)\/(t - (-5 - -4)). Suppose h - 20 = -x*h. Solve h*p = 21 - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125883420.\nAnswer: 2, 3, 5, 13, 199, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3\/3 - 5*t**2 + 7*t + 32. Calculate q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-41)\/(-39114)*53)\/(((-16)\/(-90))\/4))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 x when three letters picked without replacement from pxxpqxqqxpqq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - -109 - (0 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((4 + 3 + sqrt(192) + -2 - 1*sqrt(192)*-1*-4) + -4))**2.\nAnswer: -432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 7920?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (384\/(-20))\/(-4) + (12 - 17). Which is the closest to 0? (a) 0 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -640293?\nAnswer: -2\/213431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -25 - (-23 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -5, -0.03, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457617.\nAnswer: 3, 152539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5631780 and 89\/375452.\nAnswer: 5631780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 12, 0 = 4*l + 4*f - 15 - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 15, -8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(20)\/(sqrt(24)\/sqrt(6)) + -2)**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2327, -5355, -8335, -11243, -14055, -16747, -19295?\nAnswer: -21675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272690077.\nAnswer: 11, 2253637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-28) + 304\/(-336). Is 3\/34 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -6 - -4)*(12 - 1). Factor 21\/2*k**2 + 1\/2*k**4 + 4 + 4*k**3 + i*k.\nAnswer: (k + 1)**2*(k + 2)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 0.5. Let r = -72520 - -72520.3. What is the closest to -0.1 in t, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 0.3 (b) -47\/9 (c) 0.5 (d) -0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + -5*(sqrt(343) + -1) + -5)**2.\nAnswer: 70*sqrt(7) + 8576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let r be (72\/10)\/(q\/10). Let t = r + 62. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 12 = j. Suppose -3*v - 57 = -10*s + 5*s, j = 2*s + 2*v. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 24*y = -52*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -864 and -850 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1849760*s**4 + 7*s**2 + 66469*s?\nAnswer: 44394240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijjjjjiijjjjijiij. What is prob of picking 1 i and 2 j?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/81424?\nAnswer: 17\/81424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70000)\/(-7500))\/((3\/(-3))\/(-6)*-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37412 >= 37429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.18292, -5\/11, 0, -4?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + 0)*(-4)\/(-6). Let p be (-1 + z)*(-2)\/(-2). What is the second derivative of 0*b - 4*b**3 + 2*b + 5*b**p wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (1 - 2) - -1. Let h = -2 + z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -366, -2.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51375 < 51375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10*r**(1\/5)\/r)**36 assuming r is positive.\nAnswer: r**(1836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*(3*sqrt(130) + sqrt(130))*-1)\/(4*-3*sqrt(810))*6)**2.\nAnswer: 172\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -64. Suppose -5*q - g = g + 27, -d*q + g = 39. Let n be (-2)\/12*(-2)\/2. Which is the nearest to n? (a) 4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 5685252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/13, 0.256, 3\/2 in ascending order.\nAnswer: -22\/13, 0.256, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2617223173.4 - 2617223361.744007888. Let l = u - -0.344094888. Let r = 188 + l. What is r rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21016203928 + 38*z**3 - 21016203928.\nAnswer: 38*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(6))\/(sqrt(98)*2 - sqrt(98)) + ((sqrt(3) + -2)*4 + -5 + -5)**2.\nAnswer: -1013*sqrt(3)\/7 + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i + 2*i + 3*t, 3*t = 4*i - 11. Let n(l) = 154 - 12*l**3 + 11*l**3 - 153 + 2*l + 0*l + 2*l**i. Calculate n(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Suppose 0 = -n*g + 3*g + 96. Suppose 11*y - 10*y - g = 0. Solve -12 = -5*l - y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 a, and 1 d when four letters picked without replacement from {x: 3, d: 4, a: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162, -480, -956, -1590?\n\"Answer: -79*n**2 - 81*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -0.4.\nAnswer: -7, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 14\/3*6\/(-4). Let k = -10 - -14. Factor o*c - k*c - c**2 + 0*c**2 + 2.\nAnswer: -(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/13 + 504\/(-104). Let m = -19 - -18. What is the units digit of 101\/5 - m\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o + 3. Calculate f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 699317 and -0.05.\nAnswer: 699316.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 8*t**2 - 12*t + 1. Let v be 0 + 5 + -3 - 8. Let o be u(v). Is (9\/6 + (-10)\/4)*o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 7*n - 5. Let p be w(-6). Let o(d) = d**3 + 9*d**2 + d + 11. Let i be o(-9). Let x(h) = -2 + 4 - i + 1 + h. Calculate x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212600735.18 - 0.3\nAnswer: -212600735.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 14343 (base 5) in base 14?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/26874 and 77\/180?\nAnswer: 268740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -81820 to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*h**2 + 126067*h**3 + 564*h**2 - 126050*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 45814?\nAnswer: 733024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005606265 to five dps.\nAnswer: -0.00561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 0 + (-2 - -2). Let d = 1.278 + -0.278. Let t = 0.06 - 0.16. Which is the closest to t? (a) 0.4 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 32*z + 98. Determine i(-36).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = -4, 2*a = 4*l - 354. Let s = a + 320. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 < -13340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11860?\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 2*p**4 + p**4)*(-p + p - p) + p**5 + 0*p**4 + 0*p**4.\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*((-7)\/126)\/(110\/(-45))*-6.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 89.7. Suppose -2*l = -0*w + 2*w - 6, 2*w - 3*l + 9 = 0. Suppose w = -v + 2*v - 3. What is the smallest value in c, v, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 70*a + 38. Let c(z) = z - 3. Let k(m) = -2*c(m) + o(m). Let p(d) = -67*d - 43. Let f(l) = 2*k(l) + 3*p(l). Differentiate f(j) with respect to j.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let w be g + (3 - (-50)\/(-12)). Let s = -2 + 1. What is the second smallest value in w, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*k**3 + 968*k**4 - 25*k**3 - 19*k**3 - 7272 + 436*k**4 - 16*k**3 - k**2 wrt k?\nAnswer: 5616*k**3 - 6*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847239412 to the nearest integer?\nAnswer: 29107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673 - 981. Is (-17)\/((-12)\/(-28) + 160\/g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -181. What is the closest to 0 in h, -2\/7, 7\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*l - 28 = 0, -6227*l + 6228*l = -6*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9)*(-12)\/(-8). Solve 4*k - 6 = -z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r - 26*r - 36*r - 20*r + 69*r - 9 - 12*r.\nAnswer: -63*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.493 - 0.902.\nAnswer: -0.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 182?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 819*m - 7734. Determine p(400).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 118*a.\nAnswer: a*(a - 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -49*k + 15. Is o(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 3, a: 2, w: 1, c: 1, q: 1}. Give prob of picking 1 v, 1 w, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 3 - 27. Suppose 9 = v - h, -t*v + 25 = -3*v - 5*h. Suppose -k - 52800000 = -v*k. Round k to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**2 + 1336*f**3 + 13*f**2 + 3*f**2 + (-1 - 2 + 1)*(-6*f**3 + 5*f**3 - 8*f**3).\nAnswer: 1354*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289.93 + 277. Let q = -13 - c. What is q rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*-96389\nAnswer: 3855560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -4 - m - 1\/2*m**2. Differentiate i(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300734.\nAnswer: 2, 7, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -40.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*z = 63, -z - 39 = -0*l + 3*l. Let p be l\/9*(-3)\/2. Let m = p + 3. Solve -m*q - 2*j + 22 = j, j = -5*q + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568672 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1110 and -1110 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37386639 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**13)\/n)*n**25 assuming n is positive.\nAnswer: n**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*-4 - (sqrt(2) + 0)*5.\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -7 (c) -9 (d) -71 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 876227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 + 5*z + 1. Let f be x(-2). Let b be (3 - (-855)\/3) + 3 + f. Calculate the highest common divisor of 26 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1645, -1653, -1665, -1681, -1701, -1725, -1753?\n\"Answer: -2*u**2 - 2*u - 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 5*v**3 + 6*v + 862 - 2*v.\nAnswer: -v**3 + 4*v + 862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*a = -15, 0 = 5*h + 4*a - 16 - 8. Suppose 0 = i - o - 10, -4*o + 51 = -i + h*i. What is the greatest common divisor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Does 12 divide 3\/6 - (-59)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/1080*18*(-6)\/8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4457141 by -6469.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 3648, 12832, 31036, 61344, 106840, 170608, 255732?\nAnswer: 365296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -212, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 1. Suppose z + 5*k + 17 = 0, -2*z + 3*k = z + 15. What is the tens digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Suppose -4*z + 10 = 42. Let p = z + 13. Let d(g) = 5 + g - p - 3*g. What is v(d(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3, -74, 54\/13, -0.5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -140.\nAnswer: -291\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4*g - 1738*f**4 + 33*f**3*g - 4*f**3 + 2*f**2 - 59096*g + 4 wrt f?\nAnswer: 96*f*g - 41712*f + 198*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 412464040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (39\/52)\/((-3)\/(-27))*192\/(-720)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.69 (c) 4 (d) 1\/57 (e) -50 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7808278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 6*f - 4. Let g be c(5). Let y(v) = v**2 + 9*v + 13. Calculate the remainder when 23 is divided by y(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/51225 and 58\/6147?\nAnswer: 153675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 52052?\nAnswer: 52052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/10))**13)**(-22) assuming m is positive.\nAnswer: m**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -472440932.4.\nAnswer: -472440932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 + w**2)*(-2 + 4*w + 2) + (-w - 2*w**3 + w)*(-3 - 1 + 3) - 4*w**3 + 3*w**2 - 3*w**2.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/8 + 4559*p**2\/4 + 3649268*p + 2543663500 = 0.\nAnswer: -1316, 11750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020344074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269.6 - -237. Let z = w - -35.6. What is the biggest value in 0.5, -5\/3, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, y: 9}. What is prob of picking 3 y?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - t + 6 = 0, -4*t + 8 = -2*d + 28. Solve d*c - 4*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201*7\/(-19) - 5536\/105184\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141049463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1640 and -7.\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Let z(k) = 290*k - 10129. Let a be z(35). Is a equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 1, -262 in increasing order.\nAnswer: -262, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1 + sqrt(17) + 2 - (sqrt(34)\/sqrt(2) + 3).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/7 + 15972*f**2\/7 - 175914*f\/7 + 159940\/7 = 0. Calculate f.\nAnswer: -7997, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:16 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 505214 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 1.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 - x**2 - x + 1. Let s be k(-2). Is (9\/5)\/((-5)\/s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*sqrt(136)\/sqrt(8) + -1*sqrt(34)\/sqrt(2)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-24 - -116 - 23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + x - 2. Let p be g(-2). Suppose l + 20 = t + 6*l, -l = p. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let f(j) = -3*j**2 - 5*j + 3. Suppose 16 = -3*n - 2*z + 11, 21 = n - 5*z. What is n*f(h) - 5*k(h)?\nAnswer: -3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -49.2. Let d = -23.5 - i. Let z = 21.30123 - d. What is z rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12)*9\/(-67 - -4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhfuuuhuhdduduuhy. What is prob of sequence du?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.252?\nAnswer: -0.3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1852? (a) 2\/3 (b) 5 (c) -2\/15 (d) 1795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.512083g to micrograms.\nAnswer: 4512083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*z - 366*z + 4*z**3 + 719*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let c(a) = -3*a**2 + a**2 + a**2 - 6*a**d. Let s(q) = -14*q. Let m(j) = -2*j. Let n(i) = 12*m(i) - 2*s(i). What is n(c(g))?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Suppose -o = 2*h - 2, -m*h - h = 5*o - 5. Solve r + h = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -829\/11741?\nAnswer: -829\/11741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*j + 29 = 0, 6*m + 8*j = 13*j + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ba6757 (base 12) to base 13.\nAnswer: -1b078c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/170 and 137\/14442384.\nAnswer: 72211920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 82.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + a - 683, 0 = -5*u + 5*a - a - 851. Let s be u\/(-45) - (0 - 3\/15). Suppose 3*p - 1089 = -4*t, 0 = s*t + t - 2*p - 1367. Is 39 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.1. Let q = 0 + 0. Is b greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 != 11547\/232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/10 - ((-20)\/25 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 5*v**2 + v**2)*(3 + 3 - 4) - 4*v**2 - 3 + 3 + 1660 - 58*v**2 - 1660.\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 1:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41499 divided by 1537?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r - r + (-1 - 2 + 1)*(4*r**2 - 2*r**2 - 4*r**2) - r**2 + r - r)*(2*r**3 - 92*r - 93*r + 182*r).\nAnswer: 2*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8393 is divided by 200.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86820 - 38784. What are the prime factors of j?\nAnswer: 2, 3, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**2 + 8*t - 142. Suppose 120 = 33*o - 21*o. Let h be f(o). Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -46. Suppose 4*h - 12 = -3*u, h + t = -0*u + 5*u. Solve 2*m - u = -4*l, 0*l = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 630\/245 + (-4)\/7. Determine h, given that -4\/5 - 32\/5*h**i + 14\/5*h**3 + 22\/5*h = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*q + 56480 = -774*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -78233?\nAnswer: -34\/78233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let w be o(2). Suppose 2*s + 40 = 5*z, 0 = w*z - 5*s - 10 - 6. Let t(x) = 9*x - 1. Let v be t(1). What is the greatest common factor of z and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 109. Which is the third smallest value? (a) 13\/2 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 - -297. Suppose 2*i - 50 = n + 3*n, -4*i = -3*n - k. Solve 3*m = -m - 4*z + 36, -z = 5*m - i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 times 0.01234\nAnswer: 0.00038254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let t = -1.1 - -1.4. What is the nearest to 1 in 2, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 280*x**2 + 9*x - 6. Let f(l) = 140*l**2 + 4*l - 4. Let m(c) = -5*f(c) + 2*v(c). Find the second derivative of m(d) wrt d.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 306 = -27*h + 18*h, -5*h = -3*g + 76 + 94 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.3 + 17.3. Let t = -89.2 - -89. What is the smallest value in r, 2\/11, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) - (-4 + (sqrt(2880)*2)**2)) + sqrt(2880) - sqrt(2880).\nAnswer: -11516 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 2*n + 3*n)*(-5*n + n + n)*(-2 - 3 + 0) to z + r*n**2 + x*n and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -10 - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 w when three letters picked without replacement from {h: 3, z: 1, j: 1, x: 3, g: 2, w: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 499.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 19*g - 39*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 0*z**3 - 5*z**3)*(-18 + 1 - 27) + 0 + 0 - 2*z**3 + (z - 4*z + 4*z)*(-2*z**2 + 4*z**2 - z**2) - 1 + z**3 + 1 - 4*z**2 + 4*z**2 + z**3.\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/6309380 and 53\/110.\nAnswer: 6309380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100021 (base 3) in base 15?\nAnswer: 78d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9 minus -69242561?\nAnswer: 69242551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:28 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(2\/(-4)). Let b = -251\/4 + 63. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2145180 and 19\/5577468.\nAnswer: 27887340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 25*g**2 - 47*g - 23 = 0. What is g?\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26*(-5)\/(-6) - 10\/(-30). Let y = 175 - o. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/6, 14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101100101110110010 (base 2) in base 14?\nAnswer: 435078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78*3\/96*((-70)\/(-126))\/(100\/120).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1560846 (base 9) to base 11\nAnswer: -542218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*2.285\nAnswer: -0.2742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8)*(-1)\/(-1). Let i = -0.05 + 0.09. Let j = i - -2.96. What is the second biggest value in j, 4, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s**2 - 19*s**2 - 20*s**2 - 21*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11659*h**3 + 23747*h**3 - 5626*h**3.\nAnswer: 29780*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.976 (b) 4\/9 (c) 5415 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5243)\/7490*(36\/7)\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.19 from -72245.9.\nAnswer: -72248.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4642*w + 4425*w - 9068*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let s be 1\/((-32)\/12 + w) - 1. Solve -s*b + 6 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*p - 2*p**2 + 7007*p + 4*p**3 + 1969 - 1968.\nAnswer: 4*p**3 - 2*p**2 + 6293*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164 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: Suppose 4*r - 24 = -76. Let k = 35 + r. What is the least common multiple of 6 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -37*n**2 + 112*n - 71. Let k(u) = 9*u**2 - 28*u + 18. Let m(b) = 9*k(b) + 2*o(b). What is the hundreds digit of m(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 333*a - a**3 - 337*a + 2 + 6*a**3. Let s(v) = -6*v**3 + 5*v - 2. Calculate 4*s(b) + 5*z(b).\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1357 and 1062.\nAnswer: 24426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/3 - -22. Let r(x) = -x**3 - 17*x**2 - 40*x + 38. Let h be r(-14). What is the biggest value in h, -1\/6, k, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3*h + 2*h)*(0*h - 1554 + 1543 + h).\nAnswer: 4*h**2 - 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 45*k + 5 = -42*k, 0 = -n + 4*k + 6. Solve -2*x - n + 24 = 4*s, -s - 2 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 = 669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 4*q + c, 2*c = -q + 2. Suppose 5*z = 10, 0*p - 2*p = -z - 2. Let r be (3 - (q + p))*2. Solve -5*b - 23 = 4*g, 3*b - 5 = r*b + 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 206531 (base 8) in base 7?\nAnswer: 405013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 6:09 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) + 38\/10. Let u = d - -13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Determine v, given that v**4 - 3*v - 8*v**3 + m*v - 3*v - 1 + 10*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 486 = 2*o, 4*v = -5*o + 1126 + 831. Suppose i - v = -4*u + 1711, u - i = 556. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498 divided by 106?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1342546, 2685079, 4027612, 5370145?\n\"Answer: 1342533*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(2 - 2 - -1). Suppose 21*q - 20*q - 4*d = 7, 3*d = -3*q + 6. Solve f = q*k - 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 436734 and 3078.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 4. Let y(j) be the first derivative of -2*j**2 + 6*j + 1. Let q(a) = -8*v(a) + 5*y(a). Calculate q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -53*v + 85. Let s be 325\/3 + 2\/3. Suppose 0 = 3*r + 7 - s. What is the highest common factor of r and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 + 0)*(-4*w**3 + w**3 + 2*w**3 + (6*w - w - 4*w)*(-5*w**2 + 2*w**2 + 2*w**2)).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 121*c - 20770. Calculate t(171).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*c**6 + 57*c**2?\nAnswer: -25680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4523249 to the nearest ten thousand.\nAnswer: -4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*u + 1474 = 0, 2*b - 2*u = 76 + 504. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -544*d + 3121. Determine c(4).\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*m + 355*m + 53*m + (-1 - 3 + 7)*(-3*m - m + 3*m))*(3 + 0 + 1).\nAnswer: 1432*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h**2 + h)*(2*h + h - h) + 0*h**3 - 5*h**3 + 4*h**3 + (3*h**2 + 2 - 2)*(3*h + h - 7*h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*u - 226*u - 224*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 40*r + 752. Calculate j(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3))\/sqrt(2) - sqrt(7)) + -5 + sqrt(63).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 8*i + 16. Let z be d(-5). Which is smaller: z or -4\/81?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1105 and 884?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78765*o + 39391*o + 3*s - 102 = -39392*o, -2*o + 38 = 3*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-455)\/5 - -4. Suppose -5*x + u + 1165 = 0, -2*x = 4*u + a - 540. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c47 (base 14) to base 9.\nAnswer: -7062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + x = -2*j + 14, 2*j - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -1816, -3498, -5696, -8410, -11640, -15386?\nAnswer: -19648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -46 - (3 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 3*a + 104. Let q be k(6). Calculate the highest common divisor of q and 2050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + a + 207000 = 0. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.85 + -0.05. Let n = i - -1. Let m = 11.98 - 12. Is n not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9559, 11638, 13717, 15796, 17875?\n\"Answer: 2079*y + 7480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 18 - 21. What is the second smallest value in v, -2\/7, 0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 3. Suppose 2 = 11*f - 13*f - 4*t, 2*t = -6. Let u(s) = 2*s - 3. Give f*p(x) - 6*u(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, -7, 1 in increasing order.\nAnswer: -7, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-21))\/(14\/(-84)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3255)\/(-630) + 7\/(-6) + 1. Let q(b) = -13*b**2 + 40*b + 3. Let t be q(x). Which is smaller: t or -121?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n = 46*n - 7585 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43852067 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/14)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(22)\/sqrt(2)) - (-2 + sqrt(208) + sqrt(13))) + ((sqrt(52) - 3*sqrt(832))\/sqrt(4))**2.\nAnswer: -4*sqrt(13) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m - 8. Let o(u) = -5*u + 3. Let t be 8\/(-5)*(1 + -6). Let d(x) = t*o(x) + 3*a(x). Let k(b) = 2*b**2. What is k(d(n))?\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1303962 and 3042578.\nAnswer: 9127734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10163 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*x + 180*x + 2 = 0, 0 = -5*q + 5*x + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 92822.4 grams?\nAnswer: 92822400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/82075 and -1\/161.\nAnswer: 1887725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10582999.2 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/(-5085)*3430\/(-392) and 83\/8.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846481.\nAnswer: 7, 13, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 369 - 369. Solve 3*t + 12 + 0 = m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m**2 - 374*m + 103. Is 67 a factor of p(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-22)\/(-66))*2\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 697293552 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/20 + 2*z**4\/3 - 7*z**3\/6 - 2*z**2 + z. Let b = 8884 + -8877. What is p(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 58*o - 368 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-770)*(-44)\/10*(-2)\/50?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 250*m - 1278. Let z be t(-5). Solve z*q = 95*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19404 is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -7066?\nAnswer: -7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2925*i - 1465*i - 1464*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:51 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 33*h - 88. Determine q(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let j(d) = d - 2. Give j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 11*g - 10. Let s(y) = y**2 - 3*y - 6. Let r be s(5). Let k = r - 3. Calculate the least common multiple of u(-9) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h + 95 - 178 = 245 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 2}. Give prob of sequence svv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 4992.\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12 and -89\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*c + 16*c - 1590 = 213*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 6\/(-3))*-1. Are d and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = 15*s - 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)*-49 - 2. Let g = n + -44. Is 3*1 - (-199 + g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 59813.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100351 (base 6) to base 4\nAnswer: -1323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, 0, 34, -1 in descending order.\nAnswer: 34, 4, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:21 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-32))\/(2*(-1)\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 + o + 4. Let h(r) = -1. Let l(k) = -2*g(k) - 6*h(k). Let u = 1 - 3. Does 5 divide l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1273028 by 13124.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = a - 4*a + 20, a = 4*l - 15. Solve 5*i + 20 = -a*w, w + 4*i - 8 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46999300 rounded to the nearest one hundred thousand?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/5 - 15172*d + 1062432\/5 = 0.\nAnswer: -37944, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/93680 and 67\/103048?\nAnswer: 1030480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 25*r + 4*g - 112, g - 40 = -r. Solve 1088*j - r = 1096*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 6*q. Let r be y(-6). Suppose -3 = -3*j - l + 3, r = 4*j - 5*l - 27. What is the greatest common divisor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + x - 7*x - x - 1.\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (sqrt(162) - (sqrt(162) + (sqrt(162)*1 - sqrt(162)) + -2) - (sqrt(162) + 1 + 0))))**2 + 4.\nAnswer: -900*sqrt(2) + 4154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220332 - 23?\nAnswer: -221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/8 (b) 9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 - 64824)\/(-5) - (-6 - 10\/5)?\nAnswer: 7, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 - 9, 2*h = 2*r. Suppose 0 = 2*g - 2 - 4. Suppose 1 = 2*i + g. Sort 1, r, i in ascending order.\nAnswer: r, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, c: 1, i: 6}. Give prob of picking 1 c, 1 q, and 2 i.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 66 = 4*k - 6, b + 3*k - 20 = 0. Let q = 3 + b. Let s(v) = 6289*v**3 - 32*v**2 + 40*v. Let f be s(q). What is f rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3193 or 3172?\nAnswer: 3193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 + u**2)*(2*u**2 + 0 + 0) - u**4 - 3*u**4 + 3*u**4 + 2*u**4 - 2*u**4 + 9*u**4.\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (99 + 101 - 205 + 11*g)*(-6*g + 18*g + 8 - 13*g) in the form w + k*g + j*g**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 47*q + 3. Let v be k(1). Suppose -3*z + v = -439. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -2779.\nAnswer: -113939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4914, -19582, -44064, -78360?\nAnswer: -122470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 + 2*z**4 - 2*z**4 + 0 + 0 + (3*z - 3*z - 2*z**3)*(6*z - 4*z + 0*z) - 47*z**4 - 12*z**4 - 47*z**4.\nAnswer: -110*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -24, -67, -128, -207, -304?\n\"Answer: -9*h**2 + 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -3, -5, -2\/44237?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18517338 divided by 126\nAnswer: 146963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -119, -163, -227, -311?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(54)\/sqrt(2))\/sqrt(9).\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -319. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*w**2 + 34*w**2 - 359*w**2 + (4*w + 4*w - 6*w)*(-2*w + 0*w + w).\nAnswer: -436*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 22\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2079274*v**2 - 75*v + 3380?\nAnswer: 4158548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1867637\/6930 - -1\/3465. Let h = 279 + p. Calculate the common denominator of -71\/14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 325821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -0*y + 14*y. Which is the biggest value? (a) y (b) 4 (c) -2\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -2 (c) 0.052 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238 + 167. Let g = z - -102. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3\/8 + 15*y**2 + 537*y\/8 + 105\/2 = 0.\nAnswer: -35, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 3*l**2 - 78*l - 161. Let x be z(-2). Which is greater: 1\/32695 or x?\nAnswer: 1\/32695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvazvtautuvutvvvuazt. Give prob of picking 2 v, 1 u, and 1 m.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3231?\nAnswer: 1\/3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, 913, 4326?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8. Let q(a) = -2*a + 1. Let j be q(o). Suppose j*m = 2*r + 65, -4*m - 26 = -6*m - 3*r. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 391 * 1005664.\nAnswer: 393214624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20600 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**9\/42 + u**5\/3 + 12*u**2. What is the third derivative of y(l) wrt l?\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 712 + -676.9. Let n = f + -35.1000259. Round n to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-49)\/(-49))\/(-3 - (-1713140)\/571045) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105230 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/(0 - 1). Let t be 17 - (-2)\/(-5 + 3). Suppose z = -3*f, 4*f - t = -4*a + 8. Solve x + a = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123734579\/960 - 128890. Calculate the common denominator of 45\/8 and r.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6667*h - 6852*h - 8856*h to u*h + v and give u.\nAnswer: -22375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 6*i**3 + 6*i + 3.\nAnswer: -3*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = -18*d + 33. Let o(w) be the third derivative of 1469*w**6\/120 + w**5\/15 - w**4\/24 - w**3\/6 + 7*w**2. Is o(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 40061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209.8 + 211.8. Let s = 9 - 5. What is the closest to -0.2 in -3, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l - 26682*l**3 + 1037 + 26682*l**3 + 2643*l**4 wrt l.\nAnswer: 10572*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5*k**4\/2 - 17*k**2\/2 - 10*k + 689. Let j(r) = -7*r**3 + 11*r + 7. What is -7*j(b) - 5*t(b)?\nAnswer: -b**3 + 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -536.\nAnswer: -7\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6015, -16305, -26595?\nAnswer: -36885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(1368\/336)\/57. Sort 3, p, 5, 4, 0.\nAnswer: 0, p, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u + 155. Let k = -59\/2 - u. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3 - 0. Let l be (-18)\/(-24)*(-4)\/(-6). Put 0, t, l in descending order.\nAnswer: t, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -456523681345?\nAnswer: -456523681344.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(12)\/sqrt(3)) + (sqrt(1100) - (sqrt(1100) + 1*sqrt(1100)))**2.\nAnswer: sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14533164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2260*w**4 - w**3 - 33791.\nAnswer: 9040*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 5, r: 2, l: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 748383571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -100320?\nAnswer: -100403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -6, 7, 3.\nAnswer: -6, 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -5, 0 = 3*g - m - 237. Let s = -42 + g. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4788, -4331, -3560, -2475?\n\"Answer: 157*z**2 - 14*z - 4931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/110857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-352)\/(-44)*2\/32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 0*d**3 + 1\/15*d**4 + 17*d + 1\/50*d**5 + 0*d**2. Let p(s) = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*k = 2*o - 7, 3*o = 3*k + 3. Suppose 4*x - 8 = 3*m, -x + 2*m + 0 = -2. Let c be (2 + -3 + x)*o. Calculate the highest common factor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5328, -5331, -5336, -5343?\n\"Answer: -f**2 - 5327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7635363 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 20 = 0, 0 = -5*z - 6*m + 3*m + 4*m - 5*m + 14 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*t + 24 = 0, -2*t = -4*d + 8*d + 20. Calculate the common denominator of 54*d\/(157 + 3) and 55\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 2 a when four letters picked without replacement from yaayaeaaaafaeaaryaaa.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48516844?\nAnswer: 2, 17, 23, 67, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28915045.\nAnswer: 5, 17, 41, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785 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: Let v = -1154 - -1152.947. What is v rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {d: 1, g: 1, n: 1, o: 1, i: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 80 = 11*j. Suppose 0 = -5*i - 5*r + 135, j - 18 = 5*r. Calculate the remainder when i is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d + 0 + 0 - 127*d.\nAnswer: -95*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:22 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {w: 2, u: 5, m: 3, a: 1, s: 1, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -123, -80, 1, 132, 325, 592, 945?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 1. Let h be u(5). Suppose -a = -v + a + h, -v + 22 = -a. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/49*(1 + -2*4). Let f(r) = 2*r**2 - 4*r + 2. What is f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 75940?\nAnswer: 75940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5875?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 8. Let v be 9*m*(-8)\/(-8). Let p = v - 18. Solve 0*n - 4*f = 4*n, 3*n + 2*f = p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -20*b - 11. Suppose 9*c + 43 = 34. Calculate t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(1\/(-4)). Suppose -a - 4*f = 3, -5*f - 9 - 1 = 0. Let s = a - w. Solve 0 = -3*d - 2*l, 3*d = 2*d + s*l + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:27 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3)*z)**(-31))**(1\/4))**(-2\/11) assuming z is positive.\nAnswer: z**(-31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 133603?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o - 5. Calculate p(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/6, 6, 5, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 48581\/9181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 16*u**2 + 49*u - 237. Determine f(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - (-141 + 55 - -112).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02181696 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -75 + (37 - (20 - (15 - 21))) + -10.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 2*h**2 + 1\/21*h**3 - 1\/210*h**5 + 0*h**4 + 0*h + 0. Factor p(i).\nAnswer: -2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**4 + 12*c**3 - 39*c**2 + 51*c - 15. Let p(f) = f**4 - f**3 + f**2 - f + 1. Let z(r) = -15*p(r) - y(r). Suppose z(g) = 0. Calculate g.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 10*d + 13. Let s be f(9). Solve -s*x = -6*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-514)\/8). Let s = u + 3353\/1542. Let t = -14035\/8 + 1752. Find the common denominator of t and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 6, 8, -868?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203371607 to the power of 1\/2, to the nearest integer?\nAnswer: 14261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 divided by 6?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244464839 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 0)*(-50 + 50 + 24*c**2) to the form i*c + x*c**2 + v and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -39. Let t = 11 - s. Let j be (3*-2)\/2 - (-5 - t). Solve -2*y = -3*y + j*h - 20, -4*h = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -1482, -2208, -2934?\nAnswer: -3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 7. Let a be t(-5). Suppose a*d + 15 = 5*d. Let m be (-73999999)\/(-4) - d\/(-20). What is m rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t - 75905 = -75489 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7*j + 4)*((3 + 0 + 0)*(-4 + 4 - 2*j) - j + 3*j + 0*j) to n*j**2 + s + a*j and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p - 9. What is the tens digit of x(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 + 4*s + 5. Is a(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -294266*d**2 - 3*d. Let p(r) = -r**2. Give i(p(u)).\nAnswer: -294266*u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -475974610 + -4893.\nAnswer: -475979503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnnknnnknknnn. Give prob of picking 2 n and 1 k.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 44*f. Let m(w) = -1495*w. Let x = -16352 + 16283. Calculate x*y(l) - 2*m(l).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((-6*sqrt(304)*2)**2 - (1*(sqrt(304) + sqrt(304)*-2))**2)*-1 + -4.\nAnswer: 43466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(3 - 385\/132).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28912422 to the nearest integer?\nAnswer: 5377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 9*o)*(-2 - 6*o + 2).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2268594, -2268588, -2268582, -2268576?\nAnswer: -2268570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -0*n + 308. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29606?\nAnswer: 2, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 u when three letters picked without replacement from {f: 2, y: 1, u: 1, t: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.354 and 2.16.\nAnswer: 2.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4216, 35, -2\/3, -4\/5 in descending order.\nAnswer: 35, -2\/3, -4\/5, -4, -4216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-6))\/((-21)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2993.4657 and -1.\nAnswer: -2993.4657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8 + 83. Let v = -1 - n. Calculate the common denominator of 95\/2 and (-3 - (-206)\/v)\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16 + 9\/8)*-2 - 9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2593 + -936. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(495)\/sqrt(441))\/(sqrt(5) + sqrt(20)\/sqrt(16)).\nAnswer: 16*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/55))**(-41)*x**(-14)\/((x**(-16)\/x)\/x) assuming x is positive.\nAnswer: x**(302\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-1\/5)*d)\/d)\/d)\/d**(-2\/17)*d*d**(-3)*d*d*d**0\/d*d*d)\/((d**(2\/9)*d*d**(-3\/5))\/(d**(-1\/4)\/(d**3\/d))) assuming d is positive.\nAnswer: d**(-4757\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Let z(a) = -7*a + 13. Let v(s) = 47*s - 15*s - 15*s - 20*s + 6. Let u(q) = -12*q**2 - q - 2. Let l be u(-1). Give b*z(c) + l*v(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 183*n - 186*n - 5, 2*h - 4*n - 6 = 0. Suppose -3*u = -5*d - 8*u + 5, -2*d = 5*u - 2. What is the remainder when d is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131460 or 131459?\nAnswer: 131460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2170)\/(-28)*160\/400.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v - 14*v + 33 = 0. Sort 3, -25, v.\nAnswer: -25, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5044.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**5 - 989*k**4 - 7804*k**3 + 12324695*k**2 - 5*k.\nAnswer: 180*k**2 - 23736*k - 46824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -402.7 + 403. Which is the nearest to 0? (a) k (b) -7\/24 (c) -3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3132364, -3132365, -3132366, -3132367, -3132368, -3132369?\n\"Answer: -o - 3132363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Suppose -3*i + h + 5 = 0, -4*i - p*h = -1 + 7. Solve c + 4 + i = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m. Is m smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, y: 5, p: 4, o: 2, l: 2}. Give prob of picking 1 o, 1 p, 1 d, and 1 l.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(448) + sqrt(448))*1 - sqrt(448) - (1 + sqrt(448))*-5) + (sqrt(448) + 3 + 3)*5 + 0)**2 + 2.\nAnswer: 5808*sqrt(7) + 55299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, -0.031, 0.4, -3, -2\/63?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -908 - -904. Put -5, 14, 1, i in increasing order.\nAnswer: -5, i, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9556, -9537, -9518, -9499, -9480?\nAnswer: -9461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)\/(i**15\/i) assuming i is positive.\nAnswer: i**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1455\/6176 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(4\/2). Let f(w) = w**2 - 8*w + 11. Let x be f(5). What is the second smallest value in 2, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w + 6. Determine n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 63 = 23*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q**(-9\/4)*q assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -2*b - b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/4 - h**3 + 3*h - 1. Suppose 5*q + 9 = 34. Let y = q + -2. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22401 + 22434. Solve 2*d = 4*s - 14, -5*s - c = 4*d - 44 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 16. Let z(q) = 8*q + 20. Calculate the remainder when z(0) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 2*c + 7*c + (3 - 6 + 1)*(-3*c - 2*c + 4*c) + 5*c - 3*c - 3*c)*(1 - 1 - 1).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9868 + -9715. What is the highest common divisor of 87 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 27 + 35 - 140)*(-40*l + 348 - 348 + (-4 - 1 + 4)*(-4*l + 3*l - l) - l - l + l + l - 4*l + 0*l).\nAnswer: 10962*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 18 = -26*w. Is (-15)\/(w*5\/40) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15570 by -2595.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 30. Suppose 6*w = 75 - s. What are the prime factors of w*4*(-9)\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - -218 - 7) + (-3 - -2) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5408644 or 5408647?\nAnswer: 5408644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.387 + -2.087. Let h = 6.03 - 0.03. Sort 4, p, h, -2 in descending order.\nAnswer: h, 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 4, 0.0199?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuusuu. What is prob of picking 1 u and 1 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2304 and 2304?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = 111*v + 1479 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 850833.\nAnswer: 14\/850833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 3, x: 3, r: 1, l: 3, z: 1}. What is prob of sequence qx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4) - (sqrt(4) - sqrt(256))) - (sqrt(1900) - -3*sqrt(1900)))**2.\nAnswer: 1933459\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-9)\/(81\/42). Let s = k + 16. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-133)\/(-21))\/((-1)\/(-3)). Solve -20*n = -s*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 594.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*18\/90\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524232232 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -16. Let z = -7 + m. Suppose 4*l - l + c = 3, z = 4*l + c. What is the least common multiple of 1 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 130 = 2*x - 24, -o = x - 37. Which is the closest to 0.1? (a) 2\/41 (b) o (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-14 - 2) - (0 + -2)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1464 - -2453. What are the prime factors of t?\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + sqrt(119) + ((sqrt(119) - (-2*sqrt(119) + sqrt(119))) + sqrt(119))*4)) + 4*1*sqrt(119))\/(3*(sqrt(63)\/sqrt(3))\/sqrt(3)) + -5.\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/12 + 4*c**2. Let d(q) = -3*q. Calculate s(d(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-30)\/(-20)). Factor 1\/3*d**3 + 0 - 1\/3*d**2 - f*d + 1\/3*d**4.\nAnswer: d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(-1 - 174*d + 4 + 169*d) in the form w + r*d and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 (base 10) in base 8?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z**3 + 307*z**2 + 2890*z + 4624 = 0.\nAnswer: -17, -136\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*m**2 - 3126*m**2 - 2220*m**2.\nAnswer: -4968*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80921 and -17.0664?\nAnswer: 80938.0664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 168856?\nAnswer: 5234536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15)*(4 - -2 - 1). Put -0.04, 0.3, -0.1, l in increasing order.\nAnswer: -0.1, -0.04, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k = -3*j + 119*k + 91, 4*j - 10*k = -15*k + 133 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(a - a - a) - 2*a + 0*a - 8*a - 1 + 1 + 2*a - a - 3*a + 3*a - a + a + a + a + 0 + 0 + (2 - 2 + 2)*(-2*a - 4*a + 4*a) - a + 2 - 2.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23441229 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12898, 25818, 38758, 51718, 64698?\nAnswer: 77698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 1\/4 (b) 4 (c) -1\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 246925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133600 divided by -16700\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/1)\/((-3)\/2). Suppose 0 = -n + 10. Suppose -n = -s + 6*s. Does s = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7597 and 1136.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, f: 1, q: 3, d: 6, o: 3, e: 1}. Give prob of sequence doom.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r + 7. Give c(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = -8*u. Let l be (u + 1)*(-3)\/6. Suppose l = -q - q + 20. Solve -2*m + q = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2\/2 + 59*t\/2 + 8586 = 0.\nAnswer: -53, 324\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 + 5*b - 4. Calculate the smallest common multiple of 20 and g(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*z + 1038, -5*z + 10*a = 11*a - 1266. Solve -233*t + z*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3067985 is divided by 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let z be (2\/(-4) + (-13)\/(-156))\/((-22)\/(-66)). What is the biggest value in z, g, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 10*n - 63. Let a(y) = -75*y + 3. Determine o(a(l)).\nAnswer: 28125*l**2 - 1500*l - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-6))\/(40\/60). Is 9 a factor of (-2)\/(-4) - 106\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186996, -747938, -1682850, -2991738, -4674608, -6731466, -9162318, -11967170?\n\"Answer: -o**3 - 186979*o**2 + 2*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g - 5. Let j(q) = 5*q - 2. Let s(n) = 10*n - 4. Let o(t) = -11*j(t) + 6*s(t). Let z be (-3)\/9 - (-50)\/6. What is z*o(b) - 3*v(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = -3*o, 3*p = p - o + 9. Solve 0 = p*x - 29 + 35 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -8 - -2) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44981147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5*(-12)\/4)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -188.7977 - 967133.3\nAnswer: -967322.0977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102112 - 120102112?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 264 (b) -5 (c) 1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 4*p**4 + 3*p**4 - 2*p**4 + 2*p**2 - 2*p**2 + (0*p**2 + 3*p**2 - 2*p**2)*(-3*p**2 - 2*p**2 + 3*p**2) + 13*p**4 + 11 + 9 - 12*p**4.\nAnswer: -5*p**4 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = -3*j + 6*j, -2 = 5*j + b. Suppose j*z - 3*z = 0. Solve 3*k = 3*l + 3, l + k + 5 + 2 = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -72. Let w = i + -69. Let o = 6 - 4. Which is the second smallest value? (a) 5 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 12, -2, 0.01 in decreasing order.\nAnswer: 12, 0.01, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-133887)\/(-81) + 20\/270?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576245698 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/2 (c) 0.172 (d) 1\/26 (e) -21 (f) 0.17 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 138180.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m + 58. Let t be a(-7). Let q(b) be the first derivative of -2*b**3 - 3\/2*b**t + 6\/5*b**5 + 1\/2*b**6 + 0*b**4 - 1 + 0*b. Factor q(i).\nAnswer: 3*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -58. Let q(a) = -4*a - 23. Let v be q(x). Suppose 3*f + v = 2*f, 0 = -u - 2*f + 24. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2347 - 0.5347. What is the nearest to 2\/5 in -1, 17, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12333 + -33011?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13.08. Let g = -1.08 + w. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.95 - -0.05. Let j = 17 + -17.4. Let u = -0.6 + j. Which is the nearest to u? (a) f (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*s**2 - 8*s + 21*s**2 + 29*s**2 wrt s?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 0 + 10*w - 11*w + 0. Let m(p) = -9*p - 3. Suppose -3*x - 37 = -4*t - 22, 4 = 5*x + 3*t. Give x*m(b) + 6*i(b).\nAnswer: 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 1\/8, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -1\/46 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15.3. Let s be (-71)\/(-6) - 5\/(-30). Let u = s + -22. Put u, 2\/5, v in decreasing order.\nAnswer: 2\/5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.8. Let p = 0.199994 - n. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 228\/4622483 or -1?\nAnswer: 228\/4622483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994\/6461*(0 + (0 - 1)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.52 + 654.52. Let o = g + -648.93. Which is bigger: -7\/6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.746 and -1.2.\nAnswer: -0.8952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603749215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098863294 to six dps.\nAnswer: 0.000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 997 - 503. What are the prime factors of (c\/(-5))\/((-4)\/10)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -472, -727, -970, -1201, -1420, -1627?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 - 92*o**3 - 204*o**2 + 6188*o + 27040 = 0.\nAnswer: -13, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o - 150 = 110*o + 19 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:29 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 - k + 3. Let p be w(-4). What is the units digit of 3\/(p\/4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/2 + b**2 - 3*b. Suppose y - 6 = 3*y. What is the units digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -15*n - 778. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/120*-12*5\/1. Solve 0 = 2*g + 3*g + 5*y, 4*g - k = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1668.8 + -9056.7\nAnswer: -10725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -771.2322 rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-2) + 9\/(-6). Let f = 5 + h. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -1\/4, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1600*f**2 + 3875*f - 2778. Calculate k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 7 = a. Let j be 1\/(-2) + a\/(-14). Let s(z) = 12*z**2 + z. Calculate s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -1.19, -2\/9?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 + 215708*v**3 + 5816242658*v**2 = 0.\nAnswer: -53927, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) 17 (c) 3352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3545 greater than or equal to -95684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3184116*f**6 + f**3*j**2 + f**2*j - 680041*j**2 + 1 wrt f.\nAnswer: -382093920*f**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23019417021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1907*t**5 + 7*t**3 - 419*t**2 + 31*t wrt t.\nAnswer: -114420*t**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h**2 - 55*h - 570. Let v(c) = 5*c**2 + 19*c + 191. Let q(t) = 6*r(t) + 17*v(t). Determine q(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 - 15*o - 20. Let b be x(-6). Let t(l) = 6*l - 196. Calculate t(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*p + 12*p + 45*p**4 + 8*p - 7*p wrt p.\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2275\/15 + 1)*(-3)\/(-2). Suppose 3*b - 241 = -2*b - 4*h, -5*b - h = -s. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15))**16*x**(1\/15)*x\/(x\/(x*x\/x**(1\/32))) assuming x is positive.\nAnswer: x**(-47\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1964 or -686?\nAnswer: -1964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2 - 16586*w + 82630. Calculate o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -61. Suppose 26 = -k*j + 86. Suppose -8*l + 40 = -4*l. What is the highest common divisor of j and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 6, 4, -2 in decreasing order.\nAnswer: 77, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/360 - k**5\/20 + k**4\/24 - 5*k**3\/3 + 9*k**2. Let w(b) be the first derivative of u(b). Calculate w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*w**22*((w\/(w*w**(1\/7)*w))\/w)\/((((w*w**(-26)*w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(391\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*s**4 + 77*s**3 - 390 wrt s?\nAnswer: 40*s**3 + 231*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*i. What is the common denominator of 2\/3 and i*24\/33*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/13)*s*s\/((s**5\/s)\/s))**23\/(s**1*s*s**(4\/3))**(-6\/29) assuming s is positive.\nAnswer: s**(-9078\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*i**2 + 96749*h*i + 457722685*h - 2*i**2 - 172*i wrt i.\nAnswer: -2*h*i + 96749*h - 4*i - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20586.4 - -20586. Which is the fourth biggest value? (a) 67 (b) h (c) -4\/7 (d) -2\/9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, 49, -27.\nAnswer: -27, -25, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (3\/(-3) - -34). Let k = -25 + w. Let x(l) = -9*l**2 - 6*l + 6. Let b = -4 - -3. Let j(n) = -n**2 - n + 1. Calculate b*x(f) + k*j(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, q: 4, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 38. Let y be (-5)\/(-2 - (-5)\/2). Let k = p + y. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.594957km?\nAnswer: 6594957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030791118 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 470 = 3*r - 422, -2*r + 5*t - 60 = 0. Factor 106\/5*b - 2\/5*b**2 + r.\nAnswer: -2*b*(b - 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171244 divided by -2?\nAnswer: -85622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + -12. Let d = q + 19. Does 8 divide (-1664)\/(-120) + d\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*n + 7120 = -22714, 3*n + 17901 = 3*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105735 and 6519.\nAnswer: 4335135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6945 = -1174*b - 25743 - 17785 - 10377 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u + 1. Let i be x(0). Suppose 5*t - 21 = -6. Let v(k) = 3*k**2 - 7 + t*k**2 + 6. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 13. Let g = 33 + j. Which is the fourth smallest value? (a) 3 (b) 0.5 (c) -3\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + y + 11, 0*q - 5*y + 15 = -q. Suppose v = 4*w - q, -1 - 4 = -3*w + 2*v. Solve 0 = 3*j - w - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, w: 1, a: 4, i: 3}. What is prob of picking 1 w and 1 a?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, -2, -282 in descending order.\nAnswer: 0, -2, -4, -5, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1951*m**3 - 1385 with respect to m.\nAnswer: 5853*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/32)\/(1*3\/(-2))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003 - -100421?\nAnswer: 101424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9319105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013315 rounded to 7 dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let z = -8 - -14. Suppose -5*s - z = 4, 2*f + 20 = -4*s. Let y(r) = 3*r**2 + 6. Let h(w) = -1. Let x(c) = f*h(c) - y(c). Determine d(x(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 2. Let f = -0.16 + 4.16. Which is the third biggest value? (a) y (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 24*w**2 - 22*w + 315. Calculate s(-22).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -5*m**2 + 1\/4*m**6 + 5\/4*m**5 + 5\/3*m**4 - 1\/42*m**7 + 0*m**3 + 8*m + 0. Factor q(y).\nAnswer: -5*y*(y - 8)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21039776 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d - 6. Suppose -2*f + 4 = 2*f. Does 8 divide 16\/2*f*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/7 - 64*y**3\/7 - y**2\/7 + 64*y\/7 = 0?\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9*h. Let a be n(-9). Let c be -4 - (a + 2 + -1). Let x = 1 - c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1879920 and -127.\nAnswer: -1880047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -54.5230805143 and 1.\nAnswer: -53.5230805143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 12*u**2 + 162*u.\nAnswer: 2*u*(u - 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.184536*1.\nAnswer: -4.184536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -720.62 - -730. Let q = 4.38 - l. Which is the nearest to -0.6? (a) 3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*g - 12 = 0, 5*m - g - 11 = -15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*(4*sqrt(13) + sqrt(13)))**2 - (sqrt(13) - (sqrt(13) + (sqrt(325) - (sqrt(325) + -2))))**2).\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 219, 335, 465, 615, 791, 999?\n\"Answer: j**3 + j**2 + 106*j + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i - 2. Let x(u) = -35*u - 5. Let p(k) = -8*m(k) + 3*x(k). What is the remainder when 19 is divided by p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -1 + 12\/4 + -3. Suppose -2*x + x - 2 = -4*k, 0 = x - q*k. Suppose x*z - 68 = 19*z. Sort z, 4, 0 in increasing order.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1027, 1831, 2635, 3439, 4243, 5047?\nAnswer: 5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -30. Let q(a) = -a**3 + 8*a**2 - 4*a - 18. Let o be q(y). Find the second derivative of 14*c - 6*c**5 - 16*c**3 - 3*c**5 + 16*c**o wrt c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 6*o + 5. Let l be t(-4). Suppose 0 = -2*z + j + 182, z + 14*j - 9*j = 91. Calculate the highest common factor of l and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 8 + 0 + 4*b)*(-13*b + 13*b - 3*b**3) to the form o*b**2 + g*b**3 + t + q*b + m*b**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3018 - -3.301767819. What is w rounded to seven dps?\nAnswer: -0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(-2)\/8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281 - 5*i**2 - 135 - 146 + 4*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 2, p: 1, t: 2}. What is prob of picking 1 p and 2 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3064*u**4*x + u**2*x**2 - 376*u - 3*x**2 - 3 wrt u.\nAnswer: 36768*u**2*x + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303057971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8471 and 5?\nAnswer: 42355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/600596 and -77\/6.\nAnswer: 1801788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**3*a)**(-2\/35)*(a**(2\/5))**19 assuming a is positive.\nAnswer: a**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127, -279, -455, -667, -927, -1247, -1639, -2115?\n\"Answer: -2*b**3 - 138*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(133)*-2 + sqrt(133) + (sqrt(133) - (-6*(sqrt(133) - -2*sqrt(133)) + sqrt(133))))\/(sqrt(343)*-5 - (sqrt(567) + 5*sqrt(567) + sqrt(567))).\nAnswer: -11*sqrt(19)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 822947950*h - 521844883?\nAnswer: 822947950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3\/2*h**2 + 2\/3*h**3 - 2 + 0*h. Find the second derivative of l(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 - 271 = 92*w. Solve 4*d - w*p - 13 - 3 = 0, -4*p - 11 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41089 plus 13557338?\nAnswer: 13598427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17597524 and 0.2.\nAnswer: -3519504.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15457464*i**3 + 53100036 wrt i?\nAnswer: -46372392*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 149?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*y - 155689, 0 = -6*q + 5*y - 40618 + 974731. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3858, 3862, 3870, 3882, 3898?\nAnswer: 3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (86\/28 - 3)*(7 - 5). Factor 0 + 1\/7*l**2 + h*l.\nAnswer: l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106490?\nAnswer: 2, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127492 and 3410411.\nAnswer: 13641644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s**5\/5 - 25*s**3\/6 + 23*s**2\/2 - 55*s. Let d(a) be the first derivative of p(a). Differentiate d(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o - 13. Let d(q) = -6*q + 6. Give 9*d(s) + 4*z(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -33. Suppose -6*b - 6*b + 2*b**2 + 4*b + d + 5 = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*i - 375*i + 729*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9) + 5 + (-2250)\/(-378)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 + g - 1. Let t(u) = 6*u**3 + 10*u**2 + 4*u - 5. Determine 4*a(d) - t(d).\nAnswer: -2*d**3 - 6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24206 + -3?\nAnswer: -24211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) -3\/2 (c) -6856 (d) 2.1 (e) -0.2 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bke when three letters picked without replacement from {k: 3, e: 1, b: 16}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2429 divided by 347.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -460.7 + 461.1. Which is the second smallest value? (a) -8\/31 (b) r (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-323)\/(1\/(-9)*3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - -2 - (-2 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6913569096 from -1556.\nAnswer: -6913570652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6077442 - -1\nAnswer: -6077441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 51*l**2 + 400*l + 204. Let z be s(-9). Suppose 2*j = -2*d + 24, 5*j - 5*d - 46 = -16. Solve 9*o - j = z*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:42 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 683105300 to the nearest 100000.\nAnswer: 683100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.11936, 6, 0.4, -3 in increasing order.\nAnswer: -3, -1\/2, -0.11936, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let d(j) = -j**2 + 24*j + 543. Calculate the least common multiple of k and d(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {i: 2, e: 1, u: 1, r: 1, c: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 12:36 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from ccccvcccvcccvcvccc.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -83, -3, -2 in decreasing order.\nAnswer: -2, -3, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(4 + (3*(sqrt(405) + sqrt(405)*-3))**2) + -5.\nAnswer: -87512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1.7 (b) -16 (c) 3\/5 (d) -13.6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q**2 - 5*q**3 + 2229 - 2229 + 2*q to n*q + p*q**2 + s*q**3 + u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 1041, 1834, 2627, 3420?\nAnswer: 4213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.2 in 2\/35, -1, 382?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 + 5 = 0. Let i(g) = -g**2 + 2*g + 3. Give i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -2 (c) 1\/3 (d) 29\/6 (e) 303 (f) -4 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974 + 433 = 42*p + 467 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-2*1\/4). Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (3 - 94 - -66)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -14, -52, -118, -218?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k*k*k**(1\/11)*(k*k\/k**(3\/25)*k)**(-1\/11))**34 assuming k is positive.\nAnswer: k**(20842\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1101010 (base 2) to base 10\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26*((4 - 57\/8) + 3). Which is greater: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36229 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 13*x**4\/4 - 3*x + 1. Suppose -2 = l + 5. Let w(h) = -4*h**3 + 1. Give l*w(d) - 2*b(d).\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-4) - 548\/72 and (-357)\/(-54) + 21\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(37\/4))**(-9) assuming v is positive.\nAnswer: v**(-333\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/3 - 2322*d**2 + 1416568*d\/3 + 953672 = 0 for d.\nAnswer: -2, 219, 3266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.12 - -45.42. Which is the third smallest value? (a) -5 (b) q (c) -2\/3 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 2. Let c be x(3). Let i(j) = -j**3 - 3*j**2 + 6*j - 6. What is the smallest common multiple of i(c) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -24. Suppose -4*v + j = -v. Suppose 16*s + 18 = 22*s. Put v, s, 2 in ascending order.\nAnswer: 2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mryyyriiryyiiiiyg. Give prob of picking 1 m, 1 r, and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7126.359m to nanometers.\nAnswer: 7126359000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*o = -4*o - 16, -24 = -4*w - o. Solve -3*y = y + w*u - 13, -10 = -5*y - 5*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 137626 = -119*w + 90566. List the prime factors of w.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 1699, 3852, 6875, 10768?\nAnswer: 15531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*v - 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/19 in 0.44, 42, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 4:59 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {z: 8, w: 2, u: 3, r: 2, c: 1, p: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3427\/5 + -13713\/20. What is the nearest to 24 in i, -6, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*m - 25, 5*m - 50 = -f - 2*f. Calculate the least common multiple of f and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/20358 and -107\/88686.\nAnswer: 7715682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) + (2*sqrt(84) + sqrt(84))*-4 + sqrt(84) - ((sqrt(84) - -2*sqrt(84))*2 + sqrt(84)))\/(sqrt(1728)*2*2))**2.\nAnswer: 2023\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 90.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 1411 = 946. What is the remainder when u is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 1)*(2*r**4 - 8*r**2 + 8*r**2).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8825*m = 2646*m - 185921 - 326936 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**2\/2 + 11*r - 866. Let z(q) = -q**2 + 5*q + 3. Let s be z(5). Is x(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 2*o, -4*i + 4*o = -6*i + 16. Suppose -9 = -i*y - 3. Is 1 + 1 - y - -60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (-35 - ((-29 - -5) + 21)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -37. What is the third biggest value in -0.2, 0, 2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/(76\/(-6)))\/(6\/(-8)). Let v(h) be the second derivative of 4\/3*h**z + 1\/5*h**5 + 0*h**2 - 10*h + 2*h**3 + 0. Factor v(u).\nAnswer: 4*u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = q - 9, -2*q - 5*n = -0*n - 14. Let p be 58 + q\/(-12)*4. Let j = -24 + p. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -2\/3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (70 + 37*a - 33 - 37)*(-a**3 - 3*a**3 + a**3) as b*a**4 + o*a**3 + l*a + k*a**2 + f and give b.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 41*x - 65. Let z(u) = 11*u - 21. Give -2*c(t) + 7*z(t).\nAnswer: -5*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 57*c - 8. Let m be y(-1). Let t(z) = 3 - 3 - 6*z - 9 + z. Let j(r) = -55*r - 100. Let v(k) = m*t(k) + 6*j(k). Differentiate v(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.45. Let p = 3.9 - 3. Let c = a - p. Round c to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 79, 122, 167?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4133b4 (base 12) to base 9\nAnswer: -1826601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1762*-1*(47 - 48). Let h = -1003 + b. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 46 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1098850 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 1703*w**2 - 207*w**2 + 174 - 82.\nAnswer: -1910*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 79*n**2 + 162*n + 169. What is h(-81)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Suppose -3*a + 126 = 3*g, -a + 5*g = -39 + p. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 396.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 - 11*h**3 - 45*h**2 - 81*h - 54 = 0. What is h?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(972) - sqrt(12)) + -1.\nAnswer: -1 + sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8606 - 8606 - 92*g**2)*(-3*g**2 - 4*g + g + g).\nAnswer: 276*g**4 + 184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*n*o - 281*c*o**2 + 6*c*o - 3*n*o**2 + 2*n*o + 2*o wrt o.\nAnswer: -562*c - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3293, -36, -4, -5, 0, -1 in decreasing order.\nAnswer: 0, -1, -2, -4, -5, -36, -3293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/186 and 173\/164580.\nAnswer: 5101980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.51503 minus -0.47?\nAnswer: -296.04503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*t = -42, 0 = 3*v - 0*t + 3*t - 171. Suppose 0 = 3*j - 12, j = 5*a - 212 - 34. Let u = v - a. Solve -h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-28))\/((-500)\/(-1200)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-45)*-3*300\/8. Suppose 17*c - 11*c - o = 0. Suppose 3*z - 16 = -c*z. Solve z*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 + 8*p + 5. Let t be 0 + -4 - (-9)\/(-3). Let v be a(t). Let n = v - -73. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 + 41505*w**4 - 3879573*w**3 + 88296783*w**2 + 100142994*w - 184601712 = 0. Calculate w.\nAnswer: -13928, -2, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -13682?\nAnswer: 1367a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1098, 1082, 1082, 1104, 1154?\n\"Answer: g**3 + 2*g**2 - 29*g + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**3 - 2*k**2 - 2*k. Let l be j(-1). What is the highest common divisor of 264 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104315919\/6 + (-1)\/2. Suppose r = -3*f + 2*o - 2654022, 4*f + 26719988 = -3*o. Round f to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7017*q**3 - 27*q + 3. Let d(z) = -7020*z**3 + 18*z - 2. What is -3*d(o) - 2*v(o)?\nAnswer: 7026*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2533096607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 326 + 326 - 12*k**2 - 4*k.\nAnswer: -12*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = g - 3*n, -4*n + n - 23 = -2*g. Let i be 42\/(-10) - 1\/(-5). Let w = i + 8. Is g < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2373, 2366, 2359, 2352, 2345, 2338?\nAnswer: 2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23372 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-8))\/((-1)\/28). Suppose -2*g + 2 - 6 = -4*d, -2*d + 8 = 2*g. Suppose d*x - a + 7 = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (27 + -46 + -26).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9331*j - 7 + 9363*j - 9 + 16.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 38*d**2 + 2*d + 48. Let x be n(-19). Solve v = -v - 4*o, 5*o = -x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.174 (b) -7\/5 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266776 (base 8) to base 14.\nAnswer: -26206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:53 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -2*g. Suppose 2*s + 4*q + 0 = 6, -q - 1 = s. Let t = g - s. Which is the closest to 0.1? (a) t (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let c(i) = 2*i + 3. Let w(o) = -3*c(o) - 6*d(o). What are the prime factors of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 19*w**7\/840 - 11*w**4\/24 - 10*w**3\/3 - 8. Let b(p) be the third derivative of k(p). Differentiate b(f) with respect to f.\nAnswer: 57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -2.208\nAnswer: 39.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -11. Let w = -4 - -3. Let d be 0 + w - (-33 + -1). What is the highest common divisor of m and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7 + w - 2 + 10. Let z be a(6). Let i(x) = 17*x + 6. What are the prime factors of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 23538423 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b*n**3 + 79*b*n**2 + b*n + 4*n**3 wrt n?\nAnswer: 60*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1995 by 5.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0 + 0)*(-k**3 + k**4 + k**3) + (0*k + k**2 + 0*k)*(-5*k**3 + 0*k**3 + 4*k**3).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82 - 1032*v**3 - 129 - 785*v**3 + 713*v**3 - 20 wrt v.\nAnswer: -3312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 3*a + 5*a)*(-a + 0*a - a) + 2*a**2 - 2*a**2 - 2*a**2 - 5*a**2 + 0*a**2 + 4*a**2 + a**2 - 5*a**2 - 7*a**2 + (15*a**2 - 8 + 8)*(1 + 0 + 1).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 13*g + 190 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11716 and 275036.\nAnswer: 27778636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(176)\/((sqrt(48)\/sqrt(4))\/sqrt(3)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 - 28*q**2 + 15*q - 75. What is t(-10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0\/4 + 2. Suppose -5*t + 179 = -p*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 2, z: 8, j: 5}. Give prob of sequence je.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t = 34*t + 3. Suppose 2*r - 152 - 365 = -t*u, 0 = r - 3*u - 272. What are the prime factors of r?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*q + 3519 = -230*q + 121*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 177 = 3*i - 2*l, 2*i + 67 = -3*l. Let a(r) = 6*r + 228. Calculate the remainder when 48 is divided by a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 - (2 - -11). Let o = 22 + d. Let i = o + 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-27)*-1)\/(2\/3). Which is the nearest to o? (a) 0.8 (b) 4 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*f + g = 32 - 9, 2*g - 82 = 8*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 51*o - 237. What is p(9)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let l(f) be the first derivative of -3*f**2 + 7. What is c(l(p))?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/6 - 1\/3. Let t = u + -4. Solve -t*k - 4 - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 13. Suppose -3 = t - u. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248711\/45 + 5528. Find the common denominator of -41\/39 and t.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2050.82 - 58.68. What is p rounded to the nearest ten?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 - 22 - 1 - 9*c**2.\nAnswer: c**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72265 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 3:13 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/(-2)*48\/(-18). Let f = s - 59. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u**2 - 5*u**2. Let n(q) = -523*q + 134*q + 122*q + 183*q. Determine n(l(s)).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r**2 + r - 6. Let g be (-50)\/(-4) + (-7)\/(-14). Let d = -13 + g. Calculate b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.16, 4, -1\/4, -0.2, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + -4 + 1 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 + 2*c**2 - 9*c - 11. Let k(l) = 3*l**3 - l**2 + 4*l + 5. Suppose 28 = -2*x + 4*x + 2*f, 5*x + f - 50 = 0. Calculate x*k(d) + 4*b(d).\nAnswer: 3*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3587850 - 3587845 + 7175696 + 47*b.\nAnswer: 47*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 252\/(-3) + 1*5. Let k = -72 - w. Solve a = -2*z - 12, 25 = -3*z - k*a + 2*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 24*i**2 + 20*i - 141. List the prime factors of l(-15).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0, -1\/8, -684?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.2. Let t be 2734\/14*(-2 + -3)\/(-5). Let i = t + -195. What is the closest to i in l, 4, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*w + 852*w = -16. Factor 2\/3*c + c**w + 0 + 1\/3*c**3.\nAnswer: c*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277.94 + 278. Let p = v - 2.26. Let r(k) = -k**3 - k**2 + k. Let g be r(1). Which is the third biggest value? (a) 0.4 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77333\/4 + 19467. Let y = u - 133. Which is the third biggest value? (a) 0.2 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15880 divided by -397?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41421 is divided by 1364.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011041 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o + 17*o + 16156. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 + 8*d + 7. Suppose 0 = 3*g + 2*x - 0*x + 19, 5*x = 3*g + 26. Let i be o(g). Let v be i\/1 + (4 - 3). Is 0 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7 and 179\/3444.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136641346?\nAnswer: 2, 71, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 1 (c) 21.8 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0408 - -0.050954\nAnswer: 0.010154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:40 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 1636*d\/3 - 669124\/3.\nAnswer: -(d - 818)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 142*d + 184*d + 370*d + 142*d.\nAnswer: 839*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -s + 2, -3630*s + 3628*s - 5*f + 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Suppose -4*j - 4*m + 319988 = 0, -j + 3*m - b*m = -79994. What is j rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22729388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833))*4*-6 + (0 + sqrt(833)*3 + -5)**2.\nAnswer: -378*sqrt(17) + 7546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.014702696\nAnswer: 0.085297304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14329*w - 5. Let j(k) = -14328*k + 4. Let o(q) = 2*j(q) + 3*t(q). Let r be o(-3). What is r rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 6}. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 545\/15)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/28)\/((-9)\/(-6) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29937425?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*d + 3*m, 3*d - d = 5*m + 65. Let b be (-14)\/d + 50004\/10. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3837 = -3*b - 0*g - 3*g, 1289 = -b - 3*g. Let a = -5167\/4 - b. Find the common denominator of a and -111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m + 56*m - 39*m - 8 + 37*m + 11.\nAnswer: 123*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12496 and 47681612.\nAnswer: 190726448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4635 = -3*q - 2*q - d, 2*d = -2*q - 1862. Is q at least as big as -927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27184)\/(-5097)*(-3)\/(-22)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {o: 1, f: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.412223 to two dps.\nAnswer: 2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*k - 105, -8*k + 5*k = -4*w + 105. Suppose -36*u = -42*u + w. Solve -u*y + 11 = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 95*p**2. Let v(j) = -28*j**2 - 30*j**2 - 26*j**2 + 82*j**2. Determine v(u(n)).\nAnswer: -18050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 3*y + y)*(4*y - 11*y + 0*y) + (2*y**2 + y**2 - 2*y**2)*(-5 + 1 + 2).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/n**(-2\/5)*n**(3\/5)\/n**(-8) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2501, 5, 0 in ascending order.\nAnswer: -2501, -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -47. Let c = -69 + a. Let u = c + 39. Calculate the remainder when 18 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 4*y + 6. Calculate p(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00228672305 rounded to six decimal places?\nAnswer: 0.002287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/18 - 49*s**2\/6 + 155*s\/2 + 3174. Factor t(x).\nAnswer: (x - 93)*(x - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/30 and -26\/81530535.\nAnswer: 163061070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (25 + -33 + 26 + -29).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 30. What is the highest common factor of 24 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, p: 7}. Give prob of sequence pwp.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -16 + 0*r**2 + 0*r**3 - 16\/5*r**5 - 24*r + 0*r**4. What is the derivative of h(m) wrt m?\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 2*z**3\/3 - 5. What is n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 4, c: 6, s: 3, i: 2}. Give prob of sequence us.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r + 35. Let p be g(-6). Suppose -p*o = -80*o - 504. What is the second derivative of -12*q**2 - 5*q + 55*q**2 + o*q**3 + 3 - 166*q**3 wrt q?\nAnswer: 12*q + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 4. What is the units digit of k(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 10*g**2 - 12*g - 14. Let t be v(-7). Let b = -373 - t. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -667697 rounded to the nearest ten thousand?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2310.960304 - -2311. What is b rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*b + 3555*b**2 + 76*b - 222*b + 76*b to c + p*b**2 + o*b and give p.\nAnswer: 3555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.324648 hours to weeks.\nAnswer: 0.323361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.168175151 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29869 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/28*(-64)\/6. Suppose 7*i - 8*i = -g. Suppose 5*f = 3*n - 48 - 4, n = -5*f + i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1604*w - 38259. What is j(-24)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l - 13. Let n be 5*-1 + (-5 - -4). Calculate the remainder when 75 is divided by s(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 9102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 3 (b) 4 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*o**5 + 252*o**4 - 93081*o?\nAnswer: 480*o**3 + 3024*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 11*g. Let h be z(7). Let k = h + 139. Suppose 7*t - k = 92. Calculate the remainder when 84 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -66. Suppose 0 = -3*k + 4*k - 5*f - i, 0 = -4*f + 8. Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 0, -5 in increasing order.\nAnswer: -8, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -135 and 105952.64798?\nAnswer: 106087.64798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -h + 19, 2*i + 3*h = -i + 3. Let r(d) = -d**2 - 4*d + 2. Let t be r(i). Sort t, 0, 2.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21709 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*u + 36 = 0, 5*d - 18 = -3*u + 14. Suppose 5*q + 16 = 3*y - d*y, q - 2 = 5*y. Let b be 4 - (3 - (y - -3)). Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -1451, -4900, -11621, -22706, -39247?\n\"Answer: -182*j**3 + 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11110011000100010000 (base 2) to base 12\nAnswer: 4001a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -41*h + 43 - 384 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4133063.\nAnswer: 11, 607, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/17 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t = 26*t + 91*t + 68*t - 6624 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = 0, 22 = -0*b + 2*b - 2*h. Suppose -2*u - 5*s + 18 = 0, -u + 3*s + b = 2*u. Suppose 7*i - u*i - 354 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72172.8 weeks to nanoseconds.\nAnswer: 43650109440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-372)\/15 + (-108)\/90). Solve c*o - 30 = 23*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w**2 + 6*w - 1. Let z(o) = -o**3 + 3*o**2 + 7*o - 1. Let d(b) = -7*y(b) + 6*z(b). Let p be d(-3). Is p bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9235 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 12 = 4*l, -26*l + 5 = -2*a - 23*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*y**2 - 28*y**2 + 1807*y**2.\nAnswer: 2931*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((sqrt(224)\/sqrt(4))\/sqrt(7)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*t + 40, 5*t + 72 - 52 = -2*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2105, 3574, 5049, 6530, 8017, 9510?\nAnswer: 11009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 38*k = 11160. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 10 + -12 + 6 + -39\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97058 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.33 + -3.83. What is the closest to 0.2 in a, -0.3, -3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 15*p = 180. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 2 l when four letters picked without replacement from lllbjbpbphjb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (2\/6)\/(1\/3). Suppose 0*c - h*c = -40. Suppose 0 = -3*t + 2*t + 15. Calculate the remainder when t is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by -181.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00747 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) 0 (b) 3 (c) 88 (d) -0.3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 2. Let o(j) = -1. Let r(f) = 4*f**2 + f + 7. Let c(z) = -6*o(z) - r(z). Let s be c(-1). Let k = 2 + s. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27929 + 30329 = 80*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1346 + -317. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5817332257 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-105)\/(-126)*(18\/15)\/(-3). Which is the closest to k? (a) -0.01 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 4)*(2 + m - 2) + 2*m + 6 - 6 + 7*m - 4*m - 1 + 6*m in the form r + q*m and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9133, -9136, -9141, -9148?\nAnswer: -9157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/60 + j**2 + j. Let s(g) be the first derivative of l(g). Let o(f) = -5*f - 3975869 + 3975869. Determine o(s(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 13079 = 13287 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k. Let j(t) = 72*t + 17*t + 41*t + 16*t - 17*t. Give j(p(h)).\nAnswer: -1677*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -52\nAnswer: -31\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = -20. Let a(f) be the third derivative of -f**5\/60 + 5*f**4\/24 - f**3 + 26*f**2. Let k be a(v). Does -2\/3 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/282 and -139\/8178.\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*p**2*w - 337830*p**2 + 80*p*w + 299*w wrt w.\nAnswer: -6*p**2 + 80*p + 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9325 - 5216. Let y = 24601\/6 - p. Calculate the common denominator of y and -33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 27, 2*l - 15 = 3142429*m - 3142430*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 248, 1052, 2384, 4238, 6608, 9488, 12872?\n\"Answer: -j**3 + 270*j**2 + j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10)*u**(2\/3)*u)**(8\/7) assuming u is positive.\nAnswer: u**(-176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, 10\/7, 0.2 in ascending order.\nAnswer: -0.5, -0.1, 0.2, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/6 - 983*w**4\/6 - 173567*w**3\/6 + 885587*w**2\/6 - 207756*w + 89250 = 0.\nAnswer: -750, -238, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 6*3*sqrt(91))\/(sqrt(1008)*-4 + sqrt(1008) - sqrt(7)).\nAnswer: -19*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*t = 43, 5*h + 3*t = -34 - 38. Suppose -4*y + 57 + 51 = 0. Calculate the remainder when (-10)\/h + 626\/6 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2340 (base 6) to base 14\nAnswer: 2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)\/(p**2\/p))**(-21)\/((p*p*(p**(-1\/4)\/p)\/p)\/p*p**(6\/7)*(p\/(p*p*p**(2\/3)))**25) assuming p is positive.\nAnswer: p**(27661\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 4)*((-2 + 2 - 1)*(-2 - 4 + 7) - 33 + 88 + 53)*((3 - 4 + 2)*(0*w + w + w) - w + 6*w + 0*w) in the form t + i*w and give i.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1378 + 1380. Solve 15 - 21 = j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:44 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 0.39. Let f = -2\/209 + 432\/1463. What is the nearest to f in -5, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(15\/(-12))\/(-1)*-34. Let d = -81 - v. Suppose 0*k = -l - 2*k - 8, -20 = -4*l + 5*k. Solve 3*s + d + 8 = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21012011120 (base 3) to base 8\nAnswer: 424355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-806)\/744*(-14)\/546\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - 316. Suppose b*g - 2286 = 570. Is 68 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/19)\/((-53)\/(-282967)*281).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17260, 34511, 51766, 69031, 86312, 103615, 120946?\n\"Answer: c**3 - 4*c**2 + 17256*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4528 + 1435378\/317. Is v > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:13 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -29\/6*f**2 + 0 - 1\/6*f**3 + 0*f = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -659697 + 6585947\/10. Let j = b + 1109. What is the common denominator of -51\/7 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5005, -42780, -145295, -344920, -674025?\nAnswer: -1164980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -478276, -478275, -478274, -478273, -478272, -478271?\n\"Answer: d - 478277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 + -4)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -20*y - 204. Put 1\/10, y, -0.5, -2 in decreasing order.\nAnswer: 1\/10, -0.5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 10:44 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1703410 (base 9) to base 4\nAnswer: -3213101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -5 (b) 3 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(2\/3)\/p))\/p)\/(p*p**0))\/(p**(1\/12)*p*p**6\/p) assuming p is positive.\nAnswer: p**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 13883*m + 584850.\nAnswer: -(m - 13925)*(m + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 878719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 5*v - 14 = 0. Let c = 18 - v. Suppose 0 = f + c - 39. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*q + 1 = 34, -5*g + 4*q = -80. Let d be 575\/4 + (-9)\/g. Let x be (-26)\/d - (-97)\/(-11). Let n(w) = -w**2 - 9*w - 5. Determine n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 22*h + 27. Let b be u(23). Suppose -j - 444 = -3*g - 4*j, 4*j = b. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*k + 36, 0 = -3*f + 4*k + 11 - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3938*y - 176 = -3916*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 3*a - 6, -7775*p + 7780*p + a = -16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21059 + 63168 - 21055 - 469*h + 470*h - 21054.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71051?\nAnswer: 227, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 758620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806374919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45170 <= 45170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Suppose -v + 41 = -3*w - 58, 0 = w - 2*v + 33. Let r = w - -67\/2. Which is the biggest value? (a) r (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -2536654?\nAnswer: -2536646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24\/9*(-5)\/(-20)*207\/(-2553)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102.9 - -103. Which is the nearest to 0.3? (a) x (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.14 - 0.64. Round y to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12873?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 38 = -3*a, -3*g - 1388 + 1650 = 25*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102015663.\nAnswer: 3, 631, 53891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*o + 180 = 0, 2*k = -2*o + o + 92. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s = -6. Let a(v) = 480*v**2 + v - 2. Let g be a(s). Round g to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339395733 a multiple of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 + 3*j + 19. Let t be y(5). What is the first derivative of 3 - 28*m + 8*m**4 + t*m wrt m?\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168744781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 4*v**2 - 4*v - 11. Let u(p) = p**3 - p**2 - p. Let o(w) = -s(w) + 4*u(w). Let f(t) = 2*t**3 + 4. Determine -11*f(k) + 4*o(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**3\/3 + p - 4689. Let o(h) = -2*h**2 - 2*h + 5. Calculate -o(z) + 5*r(z).\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 17*t + 1. Let r be z(-2). What is the remainder when (3 + r\/(-7))*7 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-3))\/(6\/(-9)). Suppose -s = -3*b - 78. Is -1 + 5 + -2 - b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41809, 1, -5, 2\/7 in decreasing order.\nAnswer: 41809, 1, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 29. Let m = 0.05 - -2.45. Let l = m - f. Round l to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v. Let h(q) = 16*q**2 - 28*q. Let c(x) = 2*x**2 - 4*x. Let u(g) = -15*c(g) + 2*h(g). Calculate u(b(a)).\nAnswer: 392*a**2 - 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = v, -3*g - 1 = -5*v - 6. Suppose -5*u + 4*q = -2, 3*u + 3*q = 5*q + v. Does 25 divide u - -96 - 2\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (10 - (10 + 7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 170 in -1, 1\/35, 5\/2, 0.5, -394?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3638 = 4*s - 1986. Is s\/10 + 2\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37439 divided by 1.\nAnswer: 37439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/214070 and -123\/40?\nAnswer: 856280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 9221754.\nAnswer: 82995786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zakz when four letters picked without replacement from {a: 7, z: 3, e: 1, k: 1}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**2 + 0 + 0*d - 5\/24*d**4 + d**3 + 1\/60*d**5. Calculate the smallest common multiple of u(5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2323*s**4 + 2*s**3 - 53*s**2 - 355*s + 1036?\nAnswer: 27876*s**2 + 12*s - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by -8400.\nAnswer: 11\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/y**34))*y)**(-34))**(7\/2) assuming y is positive.\nAnswer: y**3927","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*j + 5, 129*p = 134*p - j + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 - 290*w**2 - 10656*w - 10368 = 0.\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113700 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 62*h**2 + 2. Let s(n) = -474*n + 469*n - 4*n**2 + 6*n**2. What is s(o(u))?\nAnswer: 7688*u**4 + 186*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365401469 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -50024103?\nAnswer: -50024105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001393 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -e47?\nAnswer: -e4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 times 0.28\nAnswer: -0.02492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-36))\/(12\/(-63))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/((-6188)\/936)*2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -24 - (-12 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let x = -24 + 22. Calculate p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0192024404 to six dps.\nAnswer: -0.019202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984352 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/30 - 2075*l**4\/24 + 1214*l**2. Let g(v) = v. What is g(i(q))?\nAnswer: -2*q**2 - 2075*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6 - (65\/15 + -4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -1 - (-22 - -21)) + -12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 898 + -410. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2. Let h(u) = -3*u + 3*u**2 - 2*u**2 + 3*u. Determine x(h(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/2 + 21*i = 0. Calculate i.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*x. Let z(p) be the first derivative of 0*p - p**2 - 3\/2*p**4 - 2*p**3 - x - 2\/5*p**5. Factor z(q).\nAnswer: -2*q*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80749152.\nAnswer: 2, 3, 11, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 1027 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: In base 8, what is 2253 - 45?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.5 (b) 33670 (c) -1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 j, and 1 r when four letters picked without replacement from {n: 6, j: 2, u: 1, r: 4, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1869104168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -c - 4*j, 5*c - 2*j + 17 - 18 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3)\/6*0. Let i be d + (2 - 2\/(-5 - -3)). Solve -i*l - 3 = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/576 and 49\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1020 and 13\/835584?\nAnswer: 4177920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(4\/(32\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 16*p**2 + 41*p - 4. Calculate the remainder when 56 is divided by t(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925721819?\nAnswer: 11, 19, 4429291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*(-5)\/(-30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759152 a multiple of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-115)\/(-70) - (-3)\/(-2). Let t = o + 1\/7. Let 0 + 0*s**3 + t*s**2 + 0*s - 2\/7*s**4 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550140 to the power of 1\/2, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51966*z**3 + 2*z**2 - 10*z + 1110.\nAnswer: 311796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-3)*566\/(-3113)*78.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ce52a - -2?\nAnswer: ce52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -cb012a?\nAnswer: cb0128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*t*x*z + t*x - t*z - 209*t - x**2*z + x**2 with respect to z.\nAnswer: -45*t*x - t - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 46*h = -211868. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from ffzzzzdfdzezzfeffezf.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -72.6 (c) 3 (d) -5\/574 (e) 3\/7 (f) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {c: 1, h: 1, o: 3, z: 5, q: 3, g: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*q**2 - 29909*g*q + 1840*g - 16*q**2 + 2*q - 255 with respect to q.\nAnswer: -4*g*q - 29909*g - 32*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 2. Calculate the smallest common multiple of 9 and (88\/12)\/(d\/3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 17. Suppose 0*o = -5*o + 40. Let g be w(o). Let n(h) = 3*h + 0*h + 3*h. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 7412?\nAnswer: 3\/7412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.8, -6, 0.3, 0.01, -5, -12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6*q + 7)*(2*q - 2*q + q) - q + 25*q**2 + q.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*b + x + 11, -3*b - 7 = 2*x. Let d = -5 + 12. Let s = b + d. Solve s*y + 2 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313641 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: Calculate -1115708 divided by -22.\nAnswer: 50714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 496.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/51 and -43\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1247.7837 microseconds to minutes.\nAnswer: 0.000020796395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/52 - (-2 + (-2)\/(-8)). Suppose -46 = t*s - 34. What is the tens digit of 27*6\/(-27)*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6606\/(-3))\/(-2) - 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1969494 and 2625992.\nAnswer: 7877976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 = -2*l + 1, -5*l = 3*w - 20. Solve -4*t + 5*v = -15, -t + v = w*v + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + 34. Let x = 261\/2 - h. What is the common denominator of -77\/2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - o**2 - o - 1. Let i be l(-1). Suppose d = i*d - 9. Let v = -6 + d. Solve y + 3*y + 20 = v*n, 8 = 4*n + 4*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiihykuyiuihkiii. What is prob of sequence kkhe?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 675 - 675.7905. Let a = u + -0.0165. Let d = a + 0.76. Round d to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (20\/(-2) - 273\/2106*9)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 37. Solve 6*c - v = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 168. Calculate the remainder when f is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(833) + -3 + -5)*3 + 1*(sqrt(833) - (3 + 1*sqrt(833) + sqrt(833)) - (sqrt(833) - (-1*sqrt(833) + sqrt(833))*5)))**2.\nAnswer: -27846*sqrt(17) + 254426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (9 - 5 - 4)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - x = -6, -2*k + 2*x + 6 = -2*x. Let o(d) = -2*d**2 + 2*d + 6. Let l be o(6). What is the tens digit of (-4)\/l*k - (-3057)\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.68\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 876.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8281 is divided by 2733.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:28 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 + 23690*h**3 + 10252325*h**2 - 20599370*h = 0. Calculate h.\nAnswer: -401, 0, 2, 5137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 6)*(148 - 31 - 78)*(-2*o + 2*o - 3*o**2) to p*o**2 + k*o + b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*x**4 + 16797*x**3 - 69972*x**2 - 202428*x + 8208 = 0. Calculate x.\nAnswer: -228, -2, 1\/25, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552785 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/2 + 7*i**2\/2 + 6*i - 4. Let k(d) = 2*d**3 + 6*d + 5. Let x(h) = 3*h + 8. Let u be x(-5). Calculate u*k(n) + 6*l(n).\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 3*x + 47, 5*x - 4*m = -73. Let b = x - -18. What is the remainder when 23 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j + 10. Let x be l(-6). Let k be (1 + x)\/((-15)\/(-75)). Which is the smallest value? (a) -3 (b) k (c) 0.2 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9749 is divided by 1947?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/30 and -41\/156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*k - 44 = 4*b, 4*k - 12 = -3*b. Suppose 207 = 4*l + 55. Let w = l - 20. Calculate the lowest common multiple of b and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 1, x: 1, i: 1, m: 2}. Give prob of picking 1 c, 2 m, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 22 - 18. Suppose 8*y = 5*y - i + 10, 0 = -6*y + 4*i + 68. Solve 12*t + y = d*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134*j - 2209*j + 382 = 1657 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 - 11*w - 10. Suppose 2*f + 9 - 31 = 0. Suppose -16 = 4*k + 5*u + f, 2*k = u - 17. Give c(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -116.5. What is the closest to -1 in f, -0.5, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/19, 1, 20, -0.5, -6.81?\nAnswer: -6.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544369, 544368, 544367, 544366, 544365, 544364?\nAnswer: 544363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -7*i**3\/6 + 4*i**2 + 5*i - 6. Let a(l) be the first derivative of s(l). Differentiate a(k) wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -5.4. Let r be (((-24)\/(-27))\/(-4))\/(-3 - -1). Which is the second biggest value? (a) -5 (b) -3 (c) r (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 x when three letters picked without replacement from epxqesl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*b = -438 + 4194 + 3331 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/6 (b) 46 (c) 0.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2235117 by -3351.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1610 divided by -14\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = 0, -2*n + 1786 = 6*k - 4*k. What are the prime factors of k?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3217379\/244 - 13186. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*f = 68, -2*f + 28 = 2*z - f. Let k = z + -35\/3. What is the third smallest value in -3, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/236 and -85\/2.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/7 - 3701*k\/7 + 11166 = 0. What is k?\nAnswer: -3722, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8305*l**3 - 4 - 408*l**2 + 408*l**2.\nAnswer: -8305*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 18 - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - p + 31 = -2*p, -2*p - 46 = -3*o. Calculate the remainder when 23\/(-2)*(2 + -6) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/32)\/(75\/200*10\/45*-1).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 13) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*s + 11, 0 = -4*s - 58*p + 57*p - 17. Let u(r) = -1 + 5 - 2*r - 7. Determine u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - 2221022?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpq when three letters picked without replacement from {q: 2, v: 1, x: 1, p: 1, d: 1, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 - 35*n**2 + 35*n**2 + 0*n**3 - 3*n**3 + 4*n**3 + (0*n**2 + 4*n**2 - 2*n**2)*(n + 2*n - 2*n))*(-3 - 2 + 0).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 3*d)*(781*d - 543*d + 739*d).\nAnswer: -1954*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 - n**5 - 2*n**5 + (-n**3 - 2*n**3 + n**3 - n**3 - 2*n**3 + n**3 + (0*n - 2*n + 4*n)*(-2*n**2 - 2*n**2 + 3*n**2))*(4*n**2 - 8*n + 8*n).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*t = 82, -2*t - 4648 + 4510 = -14*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1))**(-38)*j\/(j*j**(-9))*((j\/(j*j**(-4\/7)))\/j)\/j*j assuming j is positive.\nAnswer: j**(-738\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/482047?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + 0*a**4 - 2*a**2 + 2*a**4 - 3*a**4 - 34 - 115*a in the form h*a + o*a**3 + q*a**4 + x + f*a**2 and give h.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 15*r. Let h be d(-14). Let v(b) = 38*b - 15*b - 22*b - h*b - 17. List the prime factors of v(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368699928202 + -1?\nAnswer: -1368699928203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-432) - (-98)\/36)*6\/(-207)*-3.\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 9*c)*(5 + 1 - 3).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110395528.\nAnswer: 2, 2617, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1\/20, 3, 2, -0.002?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + w**4 + 4*w**4 + (w + 0*w + 2*w)*(2*w**3 - 2*w**3 - 3*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91131040 divided by 4?\nAnswer: 22782760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 - 3*z - 4. Let c(f) = -1846*f + 9230. Let i be c(5). What is m(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 912?\nAnswer: -912.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + i + 1. Let z be j(-1). Suppose -3*c - z*l = -0*l - 67, 81 = 4*c + 5*l. List the prime factors of c\/8 - 1\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p + 1185*p + 1893*p.\nAnswer: 2971*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19351847.7602017 - -19351844. Let o = -3.76 - f. What is o rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - i - 1. Let v be h(-2). Suppose 1 - 6 = 5*m, -m = d + 20. Let k be d\/(-10) - 1\/(-5)*-2. What is the smallest value in 0, k, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((0 + sqrt(180))*-4 + sqrt(180) + -1*sqrt(180) + -4 + sqrt(180)) + 5)**2.\nAnswer: -82250 - 9000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29300098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, 107, 584, 1489, 2960, 5135, 8152?\n\"Answer: 23*l**3 + 7*l**2 + 5*l - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a2538 - 18?\nAnswer: 6a2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 1, 4 in descending order.\nAnswer: 4, 1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + u + 2*u - 8, 2*l - 5*u = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -13102213230?\nAnswer: 13102213210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 47 (c) -5 (d) 1.24 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -39*l**2 - 36*l - 32. Let p(a) = -8*a**2 - 7*a - 6. What is 2*c(i) - 11*p(i)?\nAnswer: 10*i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + r + 9 = -3*a, -3 = r - 3*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 10*w + 14. Let q be o(-11). What is the third derivative of -2*y**3 + 4*y**q + 4*y**2 + 19 - 19 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1639715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44, 5\/3, 1.8?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let x = -1.97 + n. Suppose -186*g = 206*g - 411*g - 19. Put -2\/7, x, -2, g in ascending order.\nAnswer: -2, g, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3465*c**5 - 21470*c**4 + 207305*c**3 + 769250*c**2 + 141580*c - 4200 = 0. Calculate c.\nAnswer: -10, -3, -2\/9, 2\/77, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + -127 - (0 + 3). Let x be 1\/(-4) + (-55)\/j. Let f = x + -19\/35. Put -2, f, -3 in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l + 10. Suppose -3*z = -l*z - 10. Let m(d) = -d**2 - 10*d - 17. Let x be m(z). Is x bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1520 and 0.0668.\nAnswer: 101.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/15 - 11964*x**4 - 119642*x**3\/5 - 179464*x**2\/15 = 0. Calculate x.\nAnswer: -1, 0, 89732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2961 + -2942. Let j(s) = -s + 14. Let l be j(5). Solve -l = 5*h - k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9\/4)*w**(-1\/2))\/(w**(-1\/13)\/w*w\/(w*w*w*w\/(w\/(w\/w**9))*w*w*w*w)*w*w*w) assuming w is positive.\nAnswer: w**(-347\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 165*g + 243*g - 100*g + 126*g + 387*g.\nAnswer: 821*g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*d - 24, 258*n + 8 = 261*n + d. Let x(g) be the second derivative of 1\/6*g**3 + 28*g + n + 0*g**2. Let o(p) = 4*p + 2. Determine o(c) - 2*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 31 = 9*u - 4*u, -n = 2*u - 12. Let r = -466 + 468. Sort r, 0, u.\nAnswer: 0, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - j**2 - 4*j**3 + 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 (base 11) in base 16?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 740, 1661, 2950?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3592720, 7185454, 10778188, 14370922, 17963656?\n\"Answer: 3592734*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/3 + 17*u**4\/3 + 15*u**3 + 12*u**2 = 0. Calculate u.\nAnswer: -4, -3, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -151\nAnswer: -66\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/19)*c*c*(c**(-1\/76)*c)\/c assuming c is positive.\nAnswer: c**(127\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -34*c**2. Let s(h) = -76*h**2. Calculate l(s(d)).\nAnswer: -196384*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25926706?\nAnswer: 2, 13, 547, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -288542 greater than -288545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.87 - -10.87. Let y = 2 - 3. Suppose 3*g - 3 = 2*i + 1, -2*g = -i - 2. Which is the third biggest value? (a) y (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/16 - (-12764835)\/(-3352). Which is smaller: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 3*z**2 + 2*z - 4. Let h be v(3). Let m(y) = 9*y - 7 + 6*y**h + 0 - 3 - y**3. List the prime factors of m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 4\/7 (b) 5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 697989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 6 = 0. Let q(g) = 41*g**2 - 1. Is q(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 + w + 2. Let h be t(-4). Let v = -3 - h. Suppose 0 = -5*l + r + 31 - 9, -6 = -2*r. Sort l, 2, v in decreasing order.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/60 + 103*h**5\/10 + 10609*h**4\/4 + 1092727*h**3\/3 - 219*h**2. Find x, given that y(x) = 0.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*u - 13*u + 105288 + 20913. What are the prime factors of u?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5819258 divided by -58.\nAnswer: 2909629\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = u, 5*y - 15 = 3*u - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31\/5, -2\/23, -0.3, 273, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -110400 divided by -4\nAnswer: 27600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 93687.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24063 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 13*m**2 - 24*m + 24. Let r be x(11). Let i(o) be the first derivative of -5\/2*o**r + 4 - 3*o. Differentiate i(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 5 = 33*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/536 and 1\/4.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009663390 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0 + 1\/6*b**3 + 0*b - 2*b**2 + 1\/60*b**5 - 1\/12*b**4. Calculate s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333*x = 54990 + 66326 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 + 371577*k - 371577*k.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -116*m**2 - m. Let w(x) be the third derivative of x**4\/24 + 56*x**2. Determine w(g(n)).\nAnswer: -116*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose -2*o - 18 = -m*k, k = -0*k - 2*o - 2. Suppose -15 = -k*h + 45. Calculate the highest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 11. Suppose -5*w + 3*h + 203 = 0, 2*w + 119 = 5*w + h. Suppose 50 = -10*j - w. Determine d(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.145133 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14254830 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14724, -29448, -44172?\n\"Answer: -14724*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 10. Let o be t(-4). Solve -10 = o*n - 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1200.961 tonnes?\nAnswer: 1200961000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.92 * -5.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*r + 2*g*r**2 - 201*g + 107*r**2 - 122*r with respect to g.\nAnswer: -8*g*r + 2*r**2 - 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -9.94, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuuuejfuuueuujnufun. Give prob of picking 1 f and 2 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037707 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/432042 and 34\/1719.\nAnswer: 1296126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 4, e: 5}. What is prob of picking 1 h and 2 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 37*n = 32*n - 14, 2*g + 14 = -3*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 181*t - 429 + 86*t + 85*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and ((-340)\/(-432) + -1)*5*3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, -0.2, 33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 17*v - 8. Let z be o(-5). Let r(d) = 1 - z + 3484*d - 3483*d. Let h(s) = s**3 - 3*s**2 + 2*s - 4. Let n be h(3). What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 16513?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7 + 9. Let y be (-5)\/p*(-1 + 6). Suppose 0 = f + 4*f - y. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46262 + 302157. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 13*q**2 - 30*q + 9. Determine n(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3152, 3167, 3182, 3191, 3188, 3167, 3122?\n\"Answer: -v**3 + 6*v**2 + 4*v + 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19865108.\nAnswer: 2, 19, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -410*i + 2. Let g(r) = -2*r**2. What is c(g(y))?\nAnswer: 820*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/12, 3, -22145, -0.7, 5\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4952 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2306 - -5080. What are the prime factors of k?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 45*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 428369*a**2\/8 - 428367*a\/8 - 1\/4 = 0.\nAnswer: -2\/428369, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.5 + -12. Let r be 18\/20 - (-298)\/(-596). Is b at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b - 8*b**2 - 29*b + 64*b.\nAnswer: -8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (4*sqrt(4)\/sqrt(2))**2) + -4 + (sqrt(200) - (sqrt(200) - -2*sqrt(200))**2) + 0.\nAnswer: -1836 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134231 at least 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -106. Let b be 4\/(-6)*(4\/3)\/(-2). Put b, u, 6\/5 in decreasing order.\nAnswer: u, 6\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, 7, -5, 2.\nAnswer: -5, -4, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, 5.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**5)**6\/((j**(1\/2)\/j*j)\/(j\/(j**(-14)*j))))**(-2\/119) assuming j is positive.\nAnswer: j**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 921704 and 3.088996?\nAnswer: 921700.911004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11.040928 times 1\nAnswer: 11.040928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5))**11 assuming c is positive.\nAnswer: c**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83794851 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -89, -222, -415, -668, -981, -1354?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4778378 or -52562170\/11?\nAnswer: -4778378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91155262 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2. Let g(r) be the third derivative of -r**4\/8 - 23*r**2. Determine g(l(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 630, 1011, 1444, 1947, 2538?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*j - 3 = 0, 29 = 4*b - 5*j - 10. Calculate the common denominator of (-9)\/b*(-44)\/24 and -36\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b9a (base 13) in base 2?\nAnswer: 1001000100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59158, 118304, 177442, 236572?\nAnswer: 295694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*h = 152014 + 4731 + 74360 for h.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(-4\/33))**(-22\/5) assuming r is positive.\nAnswer: r**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*r + 60872 = 205367, 0 = 4*q + 4*r - 577884. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*1.3.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4019620023 to the nearest integer?\nAnswer: 63400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 + 7*f**2 - 7. Suppose 10*j - 5*j - 35 = 0. Let w(t) = 2*t**3 + 2*t**2 - 2. Let b = -7 + 5. Determine b*x(c) + j*w(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 + b?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpcp when four letters picked without replacement from cccccpcke?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2\/3, -2\/13, -5, 0.12 in increasing order.\nAnswer: -5, -2\/3, -2\/13, 0.12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -292*n + 18. Let p(k) = -73*k + 4. Give 4*l(m) - 18*p(m).\nAnswer: 146*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31647, -126573, -284783, -506277, -791055, -1139117, -1550463?\n\"Answer: -31642*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24412600 (base 7) in base 16?\nAnswer: 216403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*q**2 - 74*q**2 + 443*q**2.\nAnswer: 580*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*p = -45, -6 = -d + 3*p + 3. Let c = 204 - 200. Calculate the remainder when d is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26668, -27485, -28302, -29119?\nAnswer: -29936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, -118.23, -608?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 + 8*z + 24. Calculate t(-4).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/(-195))\/((-14)\/192). Let t = 5\/7 + y. Let w = -287 - -288. What is the second biggest value in -3, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332872 is divided by 166607?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121.7 + 130. Let m = -10 - -2. Let v = m + l. Which is the closest to 1? (a) -1\/4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 29 = 5*i, 5*w + 25 = 4*i + 2*w. Let d(o) = -o**3 + 6*o**2 + 5*o - 6. Does 12 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -776 + 817. Solve -2*z**3 - 8*z - 8*z**2 + d*z**2 - 43*z**2 = 0 for z.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28362865\/8 + 3549871. Let c = 4524 - j. Calculate the common denominator of c and -34\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002113 (base 4) in base 9?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxzxxxxxxxz. What is prob of picking 2 x and 2 z?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*j = -5, 10*t - 3 = 7*t + 3*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36870109831*a**2 - 36870109831*a**2 + 73740219664*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*a**3*r*x**3 + 18*a**3*r*x + 3*a**3*r - 2*a**3*x**4 - 21*a**2*x**2 + 2*r*x**3 wrt x?\nAnswer: -246*a**3*r - 48*a**3*x + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1790 and 75\/8.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Is -1\/17 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 11*l + 6. Let c be u(-7). Let o = c - -41. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 3*p**2 + 2*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 1007*d**4\/12 - 395*d**2\/2 - 3*d - 2. Differentiate g(b) wrt b.\nAnswer: 2014*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*9\/(-2). Let i be -1 + 0 + (-15)\/p. Let c = -0.233 + 0.033. What is the closest to 1 in i, c, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1525844*i**2 + 6638192.\nAnswer: -3051688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 61. What is the highest common factor of 189 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109876 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177.195 + 0.195. Let t = -176.96 - q. What is t rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -50. Solve -3*p + s*p + 45 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1567*w**4 - 2*w**2*z + 1109*z - 3 wrt w?\nAnswer: 6268*w**3 - 4*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:12 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 2*t = -7*j + t + 1, 24*t + 93 = 6*j + 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 17. Let w = c - -31. Suppose -w = 9*d + d. Sort 5, -12, d in decreasing order.\nAnswer: 5, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*-9*9\/27*644\/(-17710)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1363 - -1322. Let t = 35 - -7. Let g = k + t. Which is bigger: g or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let a be r(-3). Let p = -2 + 7. Suppose -p*u + 7 = -a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.18, -0.013 in descending order.\nAnswer: 1.18, -0.013, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-28))\/(12\/(-8)*-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:51 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0495 and -1.5.\nAnswer: 0.07425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(-5 + 0 + 3) - 2 - 2 + 3)*(-1560*c - 26*c**3 + 1560*c - 1) to b*c**2 + v*c**3 + i + m*c and give v.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h. Let g(d) = 376*d**2. What is v(g(p))?\nAnswer: -2632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*n + 2912 = 25358 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12623, -25241, -37861, -50483, -63107, -75733, -88361?\nAnswer: -100991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10365 - 6*i**2 + 4*i**2 - 10365.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 51. What is the smallest common multiple of 4 and b\/3*9\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1130979*u - 1020231?\nAnswer: 1130979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -1 (c) 2\/11 (d) 60.2 (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148411.4346 + 6.64.\nAnswer: 148418.0746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + a**2\/2 - 2*a - 2.\nAnswer: (a - 2)*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208*y**3 - 22*y**2 - 422*y + 210*y + 211*y wrt y?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*7\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -209, -312, -415, -518, -621?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 + 334. Let o = -3 + 7. Solve -o = -j - x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31040 - 57671 = -19*u. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20 = x - 30, 10 = -2*x + 2*g. Suppose -9*p + 13*p - 4 = x, 0 = -3*h - 3*p + 171. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35796953, -71593905, -107390855, -143187803?\nAnswer: -178984749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-2 - (3 - 7)) + 4) - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15820845 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -4 (c) 2 (d) 0.226 (e) -147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1676, -6622, -14850, -26360?\n\"Answer: -1641*m**2 - 23*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*2\/(1 - -1). What is the third derivative of -v*r**2 + r**2 + r**2 - 3*r**4 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006905 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -7*r**5\/5 - 11*r**3\/3 - 1. What is the third derivative of q(i) wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.17023 rounded to one decimal place?\nAnswer: 228.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2038*g + 441*g + 7617 - 12067 + 61942 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*d**2*f**3*j**5 + d**2*f**3*j + d**2*f**2*j - d**2*f**2 + 5*d**2*f*j wrt j.\nAnswer: -5440*d**2*f**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 76, 86?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -145. Let m = 116 + t. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 47 + 32 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 2*b. Suppose -5*y + 2*q = 10, -b*y - 3*q = -4*y - 15. Solve 3*h + 3*k + y*k = -21, -2*h - k - 12 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.01 + -1. Let l = -2.01 + i. Suppose -5*q - 7*d - 15 = 0, -78*q - 31 = -82*q + 3*d. What is the biggest value in 0, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 3*h + 3. Let s be a(2). Suppose 3*v + s = 2. Let q = 1886544 + -1886547. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 3*n - 6*n)*(3 + 4 - 4)*(-6 - 49 - 10).\nAnswer: -195*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u**3 + 71*u**2 - 56*u + 7. Let w be g(5). Solve -232 + 228 = -2*q - v, 4 = -w*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 - 1 + 1)*(-6*h + 9*h + 14*h) + h**3 + h**2 - h**2 to d*h + c + q*h**3 + r*h**2 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.5 (c) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 32, 66, 104, 140?\n\"Answer: -l**3 + 11*l**2 - 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -1\/2 (b) 3\/8 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73507876 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.52 rounded to 0 decimal places?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.44712 rounded to two decimal places?\nAnswer: -5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 2, a: 1, m: 4, j: 3, g: 8}. What is prob of picking 1 a, 1 m, 1 c, and 1 o?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031408091 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-5))\/3*-3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 + s - 5*s - s**3 + 1 + s**3 - 3*s**2. Let y(q) = -5*q**3 + 4*q**2 + 5*q - 2. Let a(n) = -4*d(n) - 3*y(n). Is 13 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1077 + -1078. Let k(s) = -s**3 + 11*s**2 - 9*s - 7. Let y be k(10). Let r be (0 + (y - 2))\/1. Which is the nearest to r? (a) -1\/3 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-15))\/(15\/10). Is 1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g + 1. Let t be w(0). Let y(l) = -l**2 - 4*l + 4. Let o be y(-4). Suppose -7 = o*p - 19. Do p and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -29 in decreasing order.\nAnswer: 0.4, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -39, -4, -59?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044147067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -2*k - 1\/12*k**5 + 205\/12*k**4 - 6*k**2 + 0 - 8405\/6*k**3. Factor x(p).\nAnswer: -5*(p - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 117*m**2 - 27*m - 54. Let p(c) = -2*c**2 - c - 2. What is 4*h(s) - 108*p(s)?\nAnswer: 684*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120996.81 + 120997. Let f = -7 + 6.7. Which is the closest to g? (a) 5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2 - -17583765.\nAnswer: 17583761.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6) + (sqrt(88)\/sqrt(4))\/sqrt(11))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*x - x. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjpbbujpcbuubbbbbb. Give prob of sequence uuu.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -3*p**5\/4 + p**3\/2 - 14*p. Find the second derivative of j(k) wrt k.\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 13. Let h be l(2). Which is the nearest to 1? (a) h (b) -4 (c) -4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**2 + 8*j**4 - 12*j**2 - 7*j**4 + 5*j**4 + j**4 + (0*j**3 + 2*j**3 - 4*j**3)*(j + 0 + 0))*(38 - 14 + 36).\nAnswer: 300*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/((-9)\/2 - -4). Let d = -64 - h. Let z be (-6)\/(-4)*d\/(-6) + 0. What is the highest common factor of z and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215036263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (1 + 181 - (-21 - -23)). Suppose -2*n + 26 = -24. What is the highest common factor of p and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*p**4*v + 3*n*p**4 + 2*n*p*v - 4*n*p - 4*p**3*v + 4*p**3 + 4*p**2*v wrt p.\nAnswer: -24*n*p*v + 72*n*p - 24*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (1*sqrt(19) + -4) - (2*sqrt(209))\/sqrt(11) - ((sqrt(228)\/(sqrt(36)\/sqrt(3)) - (2*sqrt(171))\/sqrt(9)) + -3))*-5.\nAnswer: -35 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 + 2760 + 2792 - 5551 + 117*s**4 - 2*s as r*s**3 + q*s**2 + h + n*s + c*s**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose r*c = -5*c + 750000. Let x be c*(0 + (-700)\/(-6)). What is x rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*p + 4, 0 = -p - 2*p - 9. Let w be (51 + (-3)\/(-3))\/k. Solve 0 = 4*z + 5*x - w, -20 = -2*z - z - 4*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:55 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02418 - 3.42778. What is q rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/415 or 1?\nAnswer: 33\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f**2 - 4*f + f + 4*f in the form a + y*f**2 + i*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 83347188*a**2 - 83347188*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**0*w*w)\/w))**(2\/9)\/(w**(-1\/2)*w)**(11\/4)*((w\/(w**5*w))**(-1\/6))**(2\/55) assuming w is positive.\nAnswer: w**(-355\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 433717597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Solve -h*w + 2 = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050378 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -5, 15, -1, 5, -7 in descending order.\nAnswer: 15, 10, 5, 1, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + r - 510 = 0, 21*p - 19*p + 1030 = -3*r. Let g = -507 - p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 59. Let w = -47 - f. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30248, 56326, 82406, 108488?\n\"Answer: o**2 + 26075*o + 4172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 25*p + 9*p**2 + 26*p + 0 - 49*p + 2. Let b be w(-1). Let t be -65*2400\/b*(-15)\/2. Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 1 + 10*p - 8*p - 14 - 9*p as w + u*p and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r + 1131. Let c be x(38). What is the third biggest value in c, 1, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + 3*p**2. Let d(i) = 8*i**3 - 4*i**2. What is -6*d(q) - 8*w(q)?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100913654 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 359 in 0.5, 3, -1\/13, 1.6, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:22 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 73*l + 70*l + 6429, -4*x + 25801 = -5*l. What is the least common multiple of x and 5728?\nAnswer: 51552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 3*i + 1. Suppose -2*p + 5*x - 8 = 0, -2*x + 16 = -6*p + 2*p. Let u be j(p). What is the third smallest value in u, -1, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/8*(-66 - 2). Let t = -145 + z. Let v(d) = d**2 + 6*d + 3. Let w be v(-7). Calculate the highest common divisor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (1*sqrt(1216) - sqrt(1216))) + -2 + -5*(0 + sqrt(1216)) - (sqrt(608)*-2)\/((sqrt(20)*-1)\/sqrt(10))*4.\nAnswer: -64*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 3*q**3 - 3*q**3 + 1 - 1 - q**3 + (1 - 2 + 0)*(-2*q**2 + 2*q**3 + 2*q**2) as t*q**3 + h*q**2 + c + l*q and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 41 = 4*g, -x - 4*x = 2*g - 51. Suppose -x*t = 4*t + 15. Let p be -4*t\/(-2) + 18 + -4. Solve 3*l = -0 + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*k**3\/5 + 6394*k**2\/5 + 837632*k\/5 - 186456\/5 = 0. What is k?\nAnswer: -102, 2\/9, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 3*g + 2217 = 2321 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367702714*i**2 + 780544841?\nAnswer: -735405428*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 - 8*g - 5. Let z be o(9). Let f be 10\/z*(-4)\/(-5). Suppose -6 = -v - f. Sort -2, v, 3\/2 in descending order.\nAnswer: v, 3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/145 - (1 + (-429)\/240)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r. Let l(v) = 56*v - 37*v - 4 + 2 + 2. Give x(l(d)).\nAnswer: -152*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -9506 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3350 + 3366. Which is the nearest to 1? (a) 0.1 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 22)\/(2\/3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 7. Let k be x(-7). Let z = k + -8. Let c be (18\/(-5))\/(1\/(-15)). Calculate the greatest common divisor of z and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**2 + 7*f + 124. Let n be x(-8). Which is greater: n or -505?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + (7 - 2 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 140064, 1, -1 in decreasing order.\nAnswer: 140064, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (-5 + 10)) + (-1 - 6) - 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k - 72*k**2 + 3 + 0*k.\nAnswer: -72*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 46. Let q = g + -30. Which is smaller: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.366657285 from -273.\nAnswer: -243.633342715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 1*sqrt(228)\/(sqrt(48)\/sqrt(4)).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625619.\nAnswer: 41, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 2*x - 2*x + (-18 - 14 - 5)*(x + 4*x - 2*x))*(-x + x - x) to v + s*x**2 + j*x and give s.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let m = -3 + 2.96. Let t = -0.16 + m. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let b be v(1). Suppose -5*q + 7 = -b*c, 5*c + 1 + 4 = 5*q. Let n = 2 + q. What is the closest to -0.1 in 2, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.4 - -254.3. Let x = g + -290. Let p = x + 21.47. Round p to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let f be (1 + (-4 - -2))*g. Let v(j) = 3*j**2. What is v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2827, 5667, 8511, 11359, 14211, 17067, 19927?\n\"Answer: 2*m**2 + 2834*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8448)\/660*(-70)\/56?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 11*l**4\/6 + 454*l. Let v(y) = 2*y**2 - 1 + 1. What is n(v(g))?\nAnswer: 88*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 5. Let t = 53 + -56. Let j(w) = 2*w - 9. Give t*j(i) - 5*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/60 - 1)\/(43\/((-15050)\/84))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:44 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4214385 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 9, s: 2}. What is prob of picking 1 w and 1 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12070 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus -16680820.163503?\nAnswer: -16680858.163503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-24)\/(-10)))\/((-3505)\/(-88326)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 16 in decreasing order.\nAnswer: 16, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/d)**25)**11 assuming d is positive.\nAnswer: d**(-550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -26\/9, 39, 3, 22\/5, -2\/3, 0.1, -1?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4808\/21 - -229. Let v = 189 - 323. Calculate the common denominator of 26 + -27 - (v\/(-12) + 0) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g = -37*g - 2163. Let l = g + -239. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r. Let s(u) be the third derivative of u**4\/24 + 46*u**3\/3 - 934*u**2. Give s(m(b)).\nAnswer: 5*b + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 - 8*d - 8*d + 5*d + 7*d as s + q*d and give s.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, n: 1, i: 1, q: 1}. What is prob of picking 1 i and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*c = -152*c + 4969. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057515 plus -0.028?\nAnswer: -0.085515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -396 + 401. Find the second derivative of -132*o**h - 2*o + 15383*o**4 - 15383*o**4 + 22 wrt o.\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 7*b**2 + 7*b - 15.\nAnswer: (b - 1)*(b + 3)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 + 3 + -3. Let q be (-3 + g + 0)\/(-1). Let v(h) = -4*h + 5. Let p(u) = 9*u - 10. Let b(w) = -3*p(w) - 7*v(w). Calculate b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*a - 72, -2*y = y + 5*a - 272. Suppose -95*v + y*v + 44 = 0. Solve v*c = u - c + 13, 3*c - 7 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1036116 - -5?\nAnswer: 1036124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let c be (0 + 7\/q)*118. Suppose -4*f + 279 = 3*m - 279, 3*f + 5*m = c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7335216kg?\nAnswer: 733521.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454213?\nAnswer: 509, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Let x = -5 - r. Is -3 + 28 + 2\/x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 1, k: 9, w: 8}. What is prob of sequence kc?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/63)\/(9879\/777)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 40 = -28*i + 7*m, -8 = -2*i + 2*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3857 = -825*n - 25307 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313825773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530857.9859 plus 0.02709?\nAnswer: 530858.01299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5*35\/649663. Let m = -13271723\/1670562 - i. Find the common denominator of 98\/686 + 159\/(-42) and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from xcxxxxxxcxxxxx.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -320019000 rounded to the nearest one million?\nAnswer: -320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -4.488264.\nAnswer: -26.929584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300) + sqrt(300))\/sqrt(5))\/(sqrt(72)\/sqrt(54)) + 0 + (((0 + sqrt(5) - sqrt(5)) + 2 + sqrt(5))**2 - ((2*sqrt(30))\/sqrt(6))**2) + 2.\nAnswer: -9 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -9*j + 5*j. Suppose 2*i + 12 = 4*k, -3*i - 4*k + 8 = -j*i. Solve -3*n - i*n = -3*m - 26, -3*m = 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 6*k**2 + 2*k**2. Suppose 0 = -14*s + 15*s. Let m(w) = 5*w + 13*w + s + 0. Calculate m(l(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1*(-2)\/(-3). Suppose -o + 86 = p, -5*o + f*o + 92 = p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -838\/7 + 120. Factor -2\/7*g**3 + 0 - 2\/7*g**2 + o*g**4 + 2\/7*g.\nAnswer: 2*g*(g - 1)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1550 - 1528. Suppose -c + 3*v = 0, 4*c = c - 2*v + 44. Calculate the lowest common multiple of x and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 182 + 2*c + 113 in the form q + k*c and give q.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 324037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98974 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 2. Let j be a(6). Let u be j\/4*(-28)\/7. Calculate the greatest common factor of u and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*(-44)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -1 + 3)*1204\/(-10535). Let a be (-12)\/(-5) - 4\/10. What is the closest to -17 in a, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 130, 120, 104, 82?\n\"Answer: -3*j**2 - j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/946 and -5\/144726?\nAnswer: 68455398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1) + (-3 - -4). Suppose -51113868 = -y*g + 50086132. What is g rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.5456 and 0.14.\nAnswer: -1.336384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 2. Let u(q) = q**3 + 7*q**2 - 9*q - 8. Let n be u(-8). Let l be v(n). Is 256 + -4 + l + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1728 - 1721. Which is the biggest value? (a) m (b) -3 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000810159187 rounded to 7 decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48134 + 23105. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 4*o - 2*o - 2333 + 2333 + 185*o + (3 - 1 - 4)*(o + o + 0*o))*(9 + o**3 - 9) to the form m*o + s*o**2 + x + a*o**3 + y*o**4 and give y.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 563*x - 2819. Give v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 698\/18 - 6\/(-27). Let y*r - 23*r - 28*r + r**2 = 0. Calculate r.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 + 257. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b - 2. Let u(j) = -80 + 13*j - j**3 + 44 - j**3 + 41. What is 7*r(f) + 3*u(f)?\nAnswer: f**3 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k**2 + 4*k**2 + 4*k**2)*(-24 - 2 + 0).\nAnswer: -624*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.21 and -1650.\nAnswer: -1649.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 - 13*v - 9. Let o = -10 - -16. Let f(c) = c**2 - 4*c - 3. Let a be f(o). Let y(j) = 0 - 2 - j**2 + 0*j**2 - 2*j - j. Give a*y(n) - 2*w(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 - 124*m**2\/7 = 0. Calculate m.\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(6) + -3 - sqrt(13)) + -3 + sqrt(13) + sqrt(13) + 2)**2 + 5 + 4 + (sqrt(325))**2.\nAnswer: -16*sqrt(13) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187056*b + 1093103*b + 1093951*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3 + 3 + (-3*p + 6*p - 4*p)*(2 + 0 - 4) + 2*p - p + p - 4*p - p + 4*p - 2*p + 4 - 4 - 5 - 4*p + 3*p - 3)*(-p**2 + 0*p**2 + 2*p**2).\nAnswer: -2*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 45732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109427, -437732, -984921, -1751000, -2735975, -3939852?\n\"Answer: -g**3 - 109436*g**2 + 10*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/2 (c) 1\/84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z**2 - 42*z - 86. Determine h(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 6*h + 0*h + (-3 + 1 + 4)*(0*h - 2*h + 7*h) - 3*h + 3*h + h + (-3 + 1 + 1)*(-h + 2*h + h) + 0 + 2*h + 0.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q*q*q**26)\/q*q))\/q**(-1\/8))\/(q*q**(2\/21))**7 assuming q is positive.\nAnswer: q**(-853\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/13))\/r**(-5\/3)*((r**(2\/7)\/r*r)\/r*r)\/(r*r**0) assuming r is positive.\nAnswer: r**(470\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:11 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*d**2 + 9*d**2 + 73*d**2)*(3 - 5*d + 6 - 5)*(-3*d + 0*d + 2*d) as a*d + b + n*d**4 + m*d**2 + p*d**3 and give p.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from hmumuuhmuum?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -6\/13, 2\/17, 7\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -16, 3331*b - 40*d = 3332*b - 160 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 + n - 1. Let b(k) = -14726*k**3 - 2786*k + 2786. Calculate 2*b(m) + 5572*o(m).\nAnswer: 3980*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6381 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1390669 and 143\/21456036.\nAnswer: 150192252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 6) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -112, -166, -218, -268, -316?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 20*i**3 + 4*i**3 - i**2 + 11*i**3)*(7*i - 2*i - 2*i).\nAnswer: -15*i**4 - 3*i**3 - 132*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96*(-45)\/(-243) - 18. Which is the third smallest value? (a) g (b) -3 (c) 96 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*p = -275 + 455 + 339 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 12. Suppose 0 = m - 1 + 3. Let d = m + u. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 36332 in descending order.\nAnswer: 36332, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + p - 1. Let c be a(1). Suppose 9 = c*f - 1. Suppose -2*b + 0*v = 3*v - 31, f*b - 5*v = -9. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/425 at most as big as 10.57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3490.35 kilometers?\nAnswer: 3490350000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 22, 20, -1\/4, -0.1, -657?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 335, 782, 1415, 2234, 3239?\nAnswer: 4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-145)\/(-58))\/(1\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1739, -3945, -6927, -10685, -15219, -20529?\nAnswer: -26615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 135*j**3 + j + 138*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - -0.2411. What is b rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -86. Let h(p) = -p**3 - 4*p**2 - p + 4. Let x be h(-3). Let d be 2 + (-2 - -1) - x. Solve -12 = -s*v - o - o, 0 = -o + d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppvvppvvvpppvppppv. Give prob of picking 1 p and 3 v.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 218. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3\/7 + 352528*b**2\/7 + 4229868*b\/7 + 9516960\/7 = 0.\nAnswer: -88120, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3367 (base 8) to base 14.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12*h + 10*h - 28602 = 0, -j - 3*h + 9556 = 0. What are the prime factors of j?\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 73*u + 2. Let x = 10 - 9. Does 15 divide z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-1408)*4*4*49\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7824100 - 1619096 = 268*y. List the prime factors of y.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*t**2 + 6*t - 3*t + 19)*(t**2 - t**2 + 2*t**3).\nAnswer: 4*t**5 + 6*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*j + 36 - 964. Let w be ((-5)\/(-15)*417)\/(-8). Is w less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 20*j + 25. Suppose -29*f + 26*f = -171. Let q = f + -36. Let i be n(q). Which is greater: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*r + 5, 12*r + 19 = 2*z + 17*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 13*y**2 + 13*y + 30. Calculate the least common multiple of 30 and g(12).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200785 is divided by 3861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2984166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 5*d + 69. Let z be (-132)\/d + 4\/(-10). Suppose z*s - 24 = -9*p + 4*p, p = -5*s + 51. Calculate the remainder when 31 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 10009395153722?\nAnswer: 10009395153721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-16 - (-8 + (6 - 6)))) + 17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10455180?\nAnswer: 2, 3, 5, 271, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 - (-9 - -5). Suppose -5*o - 4*i + 39 = 21, 0 = -2*o - 3*i + 3. Calculate the remainder when ((-42)\/(-8))\/(p\/32) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262344808?\nAnswer: 2, 11, 23, 227, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, -0.4, -2\/659?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1060852.6484 to the nearest ten thousand.\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {p: 4, n: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = f - 11, -5*f + 12 = -s - 1. Find the second derivative of -4*h**s + 0*h**2 - 3*h - 32*h**2 - 27*h**2 + 1 wrt h.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25758 - 11.968927\nAnswer: 25746.031073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*s + 10 + 6, 5*b - 3*s - 25 = 0. Let z be 2 + (-10056 - -2) + b. Let d = 1150 + z. Round d to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8288 (base 13) in base 6?\nAnswer: -215242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -237*x - 18. Let w be n(2). Let r = 1110 + w. List the prime factors of r.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -88*k**2 + 40*k - 7. Let x(d) = 44*d**2 - 20*d + 3. Let c(s) = 2*b(s) + 5*x(s). Find the second derivative of c(j) wrt j.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 374575 + 374762 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-20)\/(-6)*3. Let l = w + 6. Let o(x) = x + 3. Let u(z) = -1. Calculate l*u(t) - o(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 3\/10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u - 5. Let h be f(-5). Let w = 20 - h. List the prime factors of (-144)\/w + (-2)\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6378.28173081?\nAnswer: -6372.28173081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22242 and 7414.\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2 + 106730064*o - 42692028.\nAnswer: 3*(o + 7115338)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 0. Let f(k) = k**2 - 7*k - 7. Let c be f(8). What is the lowest common multiple of j and 8 + 3 + (0 - c)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2299) - (sqrt(2299) + 0))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 3, r: 1, w: 3, u: 1, n: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 4294 = 4112 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 0. Let o be 9\/3 + (u - 0). Solve -d = -2*l + 4, 6 = o*l - 4*d + d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from ddaddddffddfdadffdf.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -17. Let s be 760\/180 + (-2)\/9. Suppose -s*l - 40 = -2*w, -3*w - 4*l + 39 - 9 = 0. What is the remainder when u is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*(6058\/156 - 32)?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2598 * -2024.\nAnswer: 525.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-112)\/(-7)*-5*(-3)\/15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23.8 in 1, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 18\/15 + (-57)\/(-15). Calculate the greatest common factor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = 9. What is the units digit of 1*(-2 + 3)*z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:22 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffs when three letters picked without replacement from nysyfnfyty.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54542655 (base 7) in base 8?\nAnswer: 21672332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, -0.4 in increasing order.\nAnswer: -18, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 2*o - 2. Calculate the remainder when x(-7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*w = -h + 40, 4*h = 3*w + 113. Let x = -139 - -1111\/8. What is the biggest value in -1, -5, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 11*d**2 + 10*d - 27. Calculate b(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -20, -345899, 3.\nAnswer: -345899, -20, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 4*a - 4. Let r(n) = n**2 + n - 1. Let x(q) = -o(q) + 4*r(q). Let t(j) be the first derivative of 0*j**2 - 7\/3*j**3 - 14 + 0*j. Give t(x(c)).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 0. Suppose 4*y + 6 = 2*y. Let o = -6 + 5.7. Which is the third biggest value? (a) o (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.54125 - 7.\nAnswer: -19.54125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382616 >= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/2 + 1501*j**2\/2 + 21380*j + 39754 = 0.\nAnswer: -26, -2, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 48. Let z = a + -66.48. Let c = 0.52 - z. Which is smaller: 13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -709b032?\nAnswer: 709b02b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-12750)*-34*-5*2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 2413*c**4\/24 - 2453*c**3\/3 - 5160*c**2. Find the first derivative of s(k) wrt k.\nAnswer: 2413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from goopo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45207*c**3*p**3 + c**3*p - 50*c**2*p + 75*p**3 + 85139*p wrt p?\nAnswer: 271242*c**3*p + 450*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 9 - 4 - 5. Let o(j) = 9*j. Suppose -4*s + 2*q = 7*q + 1, 5*q = -5. Let x(k) = s*o(k) - 3*r(k). Let m(g) = 2*g**2. Determine m(x(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/3 + 43. Let g(t) = 10*t**2. Calculate l(g(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255418*l**4*z**3 + 36*l - 1852*z**3 wrt l?\nAnswer: 3065016*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 10*w**2 + 6*w - 5. Let u be p(10). Let g = -77 - -99. Calculate the highest common divisor of u and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10257 divided by -6.\nAnswer: -3419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 534 and 12549.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 396?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.3. Suppose 3*l - 3 = 6*l. What is the nearest to x in l, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86567141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204.8 - -169. Let w = -39 + 3. Let o = i - w. What is the second smallest value in 0.5, 6, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000356867161 rounded to 6 dps?\nAnswer: 0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 52*z + 217. Calculate b(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714.669 decades in months?\nAnswer: 325760.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-15010)\/(-2 + -3). Round h to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16247 to 3 dps.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = l + 15, -4*l - 22 = 5*a - 6*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w - 47 - 23 - 145 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.0542 and 41?\nAnswer: -84.2222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/2*(6 + 134). Suppose m + 6*m = q. Round m to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7195 or -55.5?\nAnswer: -2\/7195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4445, -8902, -13361, -17822?\nAnswer: -22285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7022705\/111 + -63267. Let o = 32826 + -197071\/6. What is the common denominator of o and l?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -1.2. Let r = 5.5 - 5. Let g = 0.5 + r. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/2660325 and -23\/5925.\nAnswer: 2660325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 185\/34, -4 in increasing order.\nAnswer: -4, 0.1, 185\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035847 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + 2. Let l = 291.5 - 287. Let p = h + l. What is the third smallest value in -4, -0.27, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 6. Let g be o(-6). Let j(x) = x**2 - 5*x + 1 + g + 3. Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9951536 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 30 = -4. Let v = a + 16. Let l be 2 + v\/(-3)*6. Do l and -4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26419*c**6 - 11*c**4 + 964150*c**2 wrt c?\nAnswer: 3170280*c**3 - 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 454*d**4 - 2*d**3 - 3*d**2 - 2*d + 923 wrt d?\nAnswer: 10896*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e3 (base 15) to base 3.\nAnswer: -220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/510 and 47\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041 (base 11) to base 12.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let z(s) = -13*s**2 - 2*s - 2. Let t(f) = -12*f**2 - f - 3. Let o(l) = 7*t(l) - 6*z(l). Let r(w) = -5*j(w) - o(w). Is r(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800371 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -0.4. Let p = -0.16 - -347.16. Let d = p - 347. Which is bigger: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3 - 43. Let n(l) = 4*l - 5 - 6*l - l**2 + 2*l**2. What is the remainder when n(6) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 9567*x = -9572*x + 47, 3*n + 3*x = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648 + -581. Let x(j) = 5*j - 2. Let y be x(-5). Let v = o + y. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i)*(-2*i - 2*i + 6*i)*(7*i**2 - 5*i**2 + 7*i**2) + (3 - 3 - 2*i)*(2*i**2 - 2*i**3 - 2*i**2) + 0*i**4 + 0*i**4 + 2*i**4.\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*v - 8, v + 14*l = 15*l. Let q(t) = -t**3 - t**2 - t + 5. Let y be q(0). Solve -a + y = v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(1 - (-480)\/(-18)). Suppose -y = -7*k - 0*k. What is the remainder when 123\/6 + (-1)\/(-2) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + 5*4. Suppose 4*i + 10 = -n, 4*n + v = -0*n + 4*i. Let p = 5 + n. Sort p, 2, 5 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112613, -223193, -333773, -444353, -554933?\nAnswer: -665513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 43*r**2 - 520*r + 17984. Give t(41).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:22 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5219\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 136. What are the prime factors of n\/(8\/(-852)*1)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q + 269. Let g be t(0). Let f = -185 + g. Suppose x - f = -3*x. Which is smaller: 22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1824\/190 + (4\/10 - 0). Solve 0 = 5*f - 4*j + s, 15 = 2*j + j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2772\/(-990))\/(((-21)\/10)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 1. Let q(d) = -35*d**2 - 17*d - 8. Let n(f) = 8*f**2 + 4*f + 2. Let b(r) = 26*n(r) + 6*q(r). Calculate -b(p) + 5*t(p).\nAnswer: -3*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700 + -703. What is the nearest to f in -3, -25, 0, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (21 - 28) - (0 + -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-240)*27*(-15)\/2205\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16)*28\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a144 - -45?\nAnswer: -1a0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173615.\nAnswer: 5, 13, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 33*r**3 - 78*r**2 - 48*r = 0. What is r?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 929057911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 112*f - 117*f - 457 = 0, -2*q + 2*f = -850. Calculate the highest common divisor of 9313 and q.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = m + 4*g, -5*g = 4*m - 12. Let i(w) = 10*w + 25. Let z be i(m). Let b be (7\/(-3))\/(3*3\/(-81)). What is the greatest common factor of b and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -337356396405\/22 - -15331624313. Let k = -2758291 - o. Let w = k - -949. Calculate the common denominator of w and -17\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.35 - -0.05. Round j to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -284.237 - -0.237. Let g = -266.3 - x. Let v = g - 17.700099. Round v to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3328.912 years to decades.\nAnswer: 332.8912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 193\nAnswer: 46\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25984.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19176 and 1390260.\nAnswer: 2780520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*-6 + -2 + sqrt(21)\/sqrt(7) + sqrt(3) + -3*(sqrt(135)\/(-3*sqrt(9)))\/sqrt(5).\nAnswer: -9*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 17 + 17 - 8*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 5*c + 25, -17 = 4*d + 3*c - 44 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**4 - 360*b**3 - 1139*b**2 + 49905682*b.\nAnswer: -48*b**2 - 2160*b - 2278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. Suppose 5*z + 15 = -b, 2*b = -8*z + 5*z - 9. Suppose b = w - 3*p - 6, -3*w - 24 = h*p - 3. Is w smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 2 j when four letters picked without replacement from jddhdjhhjjhjdjtjjjj?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 4*w - 24*w to s*w + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let d(o) = 830*o + 1918*o - 37*o. Determine d(q(p)).\nAnswer: 5422*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.743.\nAnswer: -0.8715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*c = 174, 0*k + 2*c + 174 = 3*k. 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 k be 4\/(5 + -3 + 20). What is the nearest to 1 in -2\/15, k, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101192 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15771528?\nAnswer: 2, 3, 53, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 4*a + 3*a)*((3 + 1 - 6)*(-2 + 5 - 2) - 12 + 2 - 15) as m + v*a and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**2\/2 + 2. Let p(a) be the third derivative of 13*a**2 + 0*a + 0 + 0*a**3 + 1\/12*a**4. Calculate z(p(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 74*f + 659. Give r(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5666729800 to the nearest 1000000.\nAnswer: 5667000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3\/3 + 3*l**2 - 9. Let y be o(-6). Which is the third smallest value? (a) -2 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*3 + sqrt(121)\/sqrt(11) + sqrt(11) + 3.\nAnswer: 3 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -303\/77 in 2\/7, -49\/30, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 280128?\nAnswer: 280128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 733841, 1467688, 2201537, 2935388?\nAnswer: 3669241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/h)\/(h*(h\/h**(-1\/3))\/h) assuming h is positive.\nAnswer: h**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.4. Let j = c - 3.6. Put j, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24704 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/48 - 2\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.74, -1\/6, 0.1, -408466?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/83)*j*j**9)\/(j*j**(3\/22)*j)**10)**(-18) assuming j is positive.\nAnswer: j**(186354\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 11 + 2*w**2 + w**2 + 6*w**2. Let t(g) = -3*g**2 + 4. Let x(y) = -4*m(y) - 11*t(y). Let f(b) = 2*b. What is f(x(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -23. Let l = r - 6.1. Suppose -f - 4*p - 15 = 0, 3 = -2*f + p - 18. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 2435 (c) 0.1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f + 1315. Let v be l(-100). Solve -23 = v*p - 19*p - 5*s, 5*p = -2*s + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 9 + 1. Let v = -32 + 36. Let d = -0.7 + -0.3. What is the closest to d in v, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*b + 2 + 10, 0 = 2*b - 2*o - 8. Solve -9 = -2*i - y - b*y, -i + 2 = 3*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7114860 divided by 5220.\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -10, 2*d - 5 = -3*s - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**7\/7 + 5*u**6\/6 - u**3\/3 - 22*u + 25. What is the third derivative of o(c) wrt c?\nAnswer: -120*c**3 + 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209470 is divided by 525?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1508 - 1387. Calculate the greatest common factor of 5929 and s.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-2\/7))*q*q**(-3\/10))**(3\/20) assuming q is positive.\nAnswer: q**(-3\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2, 1\/11, 0, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4104\/96)\/(-57)*-3*4\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 1525263355.\nAnswer: 1525263364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 1\/10*s**2 + 0*s + 5 + 3\/20*s**4 - 1\/5*s**3 - 1\/25*s**5. Factor m(c).\nAnswer: -c*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4517)\/(-6) - 1)*1. Let y = 764 - z. Find the common denominator of y and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -733*y**2 - 32 + 1775*y + 33 - 1777*y in the form z*y + t*y**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = 2*r + 8*r + 195 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, i: 1, q: 1, w: 1, o: 2}. What is prob of sequence ot?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2169*o**3 - 553 + 276 + 277 + 51*o**2 - 51*o**2.\nAnswer: 2169*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**47*((u*u\/u**(1\/23))\/u)\/(u\/u**7) assuming u is positive.\nAnswer: u**(-4164\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-1212))\/(11\/110*50\/(-20)).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16390.\nAnswer: 2, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4158 is divided by 4073.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/2)\/(-5) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 57*p - 56 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10044274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + 4.2. Let h = f + 46.2. Let g = -51.99947 + h. What is g rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539))**2 + sqrt(1539) + 3 + 5.\nAnswer: 9*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(8) - (-5 + -2 + sqrt(8))) + sqrt(8)))**2*-1.\nAnswer: -1425 - 700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139284*m**5 - 8*m**4 + 8*m**2 + 171163434*m?\nAnswer: -2785680*m**3 - 96*m**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*p**2 + 14*p - 9*p + 18*p**3 - 16*p**3 in the form r*p + q*p**2 + c*p**3 + m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -38158*s + 190803. Give i(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5 + 125*l**4 - 795*l**3 - 5765*l**2 + 13390*l - 6960 = 0?\nAnswer: -29, -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57, 112, 147, 150, 109, 12?\n\"Answer: -2*u**3 + 2*u**2 + 63*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {h: 1, o: 1, r: 5, n: 1, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let f be z(6). Let o = 50 - -4. Let h = 78 - o. Calculate the greatest common factor of f and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3881525 - 174.6108175. Let p = i + 179. What is p rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046b (base 15) in base 2?\nAnswer: -11000111101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -3*c, -4*c + 6 + 2 = 0. Suppose -2*g + 5 = -1. Sort v, g, 0.\nAnswer: v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 41*b - 133. What is the remainder when r(7) is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 313. Let y = x + -57. Suppose 0*t = -3*t + y. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 85\/(-153)*(-2)\/10. Which is the smallest value? (a) -1 (b) k (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -4, 1, 6, 11, 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - l + 4, d - 5*l = -4 - 5. Suppose 3 = q - 0. Suppose -q*p = 2*p. Is d at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -1393, -2094, -2799, -3508?\nAnswer: -4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8118 or -41043?\nAnswer: 8118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(4726*o - 2449*o - 2354*o)*(2*o - o - 2*o).\nAnswer: 154*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1549777.1 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-2)\/5 + (-1521)\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 4*z - 4. Let t be g(-4). Let y(w) = 6*w**2 + 65*w - 81. Let q be y(-12). Solve 0*b + q*b = t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.9915 + -33. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 324, 386, 490, 636, 824?\n\"Answer: 21*s**2 - s + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507298 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.57 - -4.86. Let l = z + -1.51. What is the closest to 1\/3 in -3\/5, -0.2, l, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-2)*24\/(-162) and 43\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 + 2. Let l be -2 + (600001\/d - -1). What is l rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/14 and 75\/5854.\nAnswer: 40978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * 1492.\nAnswer: 210372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -1225.\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + 124\/8 + -3. Solve 0 + 1\/2*p + 12*p**3 - g*p**2 - 8*p**4 = 0 for p.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Suppose 5*x - q = 4*q + 1790, -1086 = -v*x - q. Let b = 126 + x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -804 divided by 110.\nAnswer: -402\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 76?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*h + 0*h - 1 - 3*h).\nAnswer: -12*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11912?\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 - 150*u**2 - 1455*u - 4550 = 0.\nAnswer: -13, -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 46150?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255018090, -255018088, -255018086, -255018084, -255018082?\nAnswer: -255018080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2075 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 + 4*y + 4. Suppose 21*m = 42 - 105. Determine j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 17*z**2\/4 + 4346*z - 247107.\nAnswer: -(z - 82)**2*(z + 147)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7154.05 to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 66\/7, 20, -0.03, -0.1, -1.1, 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 17 = 5*s + 3*i, -3*i = -s - 5. Let z = s + -2. Suppose 0 = -z*g + 3*g. Solve -4*o + 20 = 0, -4*j - 3*o - 1 + g = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 168?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.242 + 79380.\nAnswer: 79380.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 47*p**2 + 199*p + 201. Determine o(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4352 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sffs when four letters picked without replacement from fsfssfis?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, j: 1, e: 2, n: 1, k: 1}. Give prob of picking 1 b and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*c + 25, 0 = -c + 520*u - 516*u - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 22 = -3*u - 4, -9 = -3*a - 3*u. Suppose a*i + 0 = 10. Let x(q) = -2*q**2 + 6*q**2 - i*q**2. Let n(s) = -6*s. Give n(x(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3990)\/(-3591) - 2\/(-450)*-205.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 = 2*d - 5*d - 5*j, -5*d = j - 809. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/5 - 7*y**3\/5 + 12*y**2\/5 + 4*y\/5 - 16\/5 = 0. What is y?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 3*h**3 - 3*h**3)*(-3 + 3 + 1)*(0 + 4 - 5)*(2 - 3 - 2).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 5*o - 17. Let k be i(-9). Let y = -18 + k. Put 0, 3, y in decreasing order.\nAnswer: 3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 215683*d + 215683*d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*y - 80, 3*d + 30 = d - 3*y. Suppose 10*v + 15 = 5*v, -4*v = 2*c + 24. Is (-32)\/d + c\/(-27) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 + 7*g**2 - 20*g - 35. What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*d + 94 - 94 + (-4 + 1 + 2)*(-5*d - d + 4*d).\nAnswer: -62*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1798 + -0.5798. What is the closest to 2 in 7\/3, h, 1, 0.2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2. Let t(w) = 90193*w. Give l(t(c)).\nAnswer: -24404331747*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1532, 3062, 4592?\n\"Answer: 1530*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 - 1113*u**2\/2 - 8841*u\/4 + 5535\/2.\nAnswer: -3*(u - 1)*(u + 5)*(u + 738)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -46. Let w be l\/4*(-36)\/75. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 110, 130, 124, 92, 34, -50?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23985 is divided by 7451.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19197 and 406060.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 123. Suppose 5*t + 20 = -r - i*r, -12 = 3*r + 5*t. Which is smaller: -11\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:15 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/27 and 101\/5083104.\nAnswer: 45747936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 8 = 96*z - 94*z, 0 = -2*z + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5803?\nAnswer: 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-15)*-12387 + 0. Let d = 6174 - j. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4082573 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*m - 24 = 876*m - 436*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3804 - -10130.6196. Let s = 10131.999995939 - m. What is s rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284\/21 - 2819\/210. Which is the third smallest value? (a) f (b) 3\/4 (c) -2\/223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15806 or 16792?\nAnswer: 16792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1493, 1482, 1455, 1406, 1329, 1218?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (-3 + (-2*sqrt(68) + 5)*4)**2)*-6*6*-3.\nAnswer: -58752*sqrt(17) + 500908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/60 + m**2. Let h(b) = 1 - 3 + 2 - b. What is h(c(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286623730?\nAnswer: 2, 5, 7, 18380339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-63)\/1785*-17.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3\/2*i**3 - 2*i - 4 + 3*i**2. Let r(a) = 7*a + 5. Let t(x) = 2*o(x) - 3*r(x). Determine t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**5*x - 80*a**5 + a**2 - 5*a*x - 228*a + 2*x wrt a.\nAnswer: -80*a**3*x - 1600*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.9 - 43.9. Which is the closest to -1\/4? (a) 1\/11 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 + 3*o - 2. Let i(l) = l**2 + 3*l + 1. Let a(p) = p**2 + 4*p + 2. Let q(j) = 4*a(j) - 3*i(j). Let z = 6 - 11. Let c be q(z). Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -5 + 2 + 3*y - 2*y**3 + 0 - 2. Find the first derivative of x(r) wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-111)\/(-6))\/(8\/400) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/2 + 34797895*c**2\/2.\nAnswer: -5*c**2*(c - 6959579)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14647.43787 - -14647. Let r = -0.445 - l. What is r rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 0, 4*z - 59 = -2*r + z. Suppose -3*u + 5 = -j, -5*u + 10 + r = 5*j. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/6 + 10*x**4\/3 + 814*x**3\/3 - 10368*x**2 + 120960*x - 460800 = 0.\nAnswer: -48, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + k - 3*k**2 + 9*k**2 - 5*k**2 to p*k + o + u*k**4 + c*k**2 + q*k**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47695\/42 - -1136. Let l = -1\/14 + c. Is l less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 266975.\nAnswer: 3737650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068 - -9.\nAnswer: 8.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y = -14*y - 3184 + 160. Solve -4*d - 3*h + 6 = -6*h, -4*d - 5*h = y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.6286km in micrometers?\nAnswer: 960628600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Suppose 3*m - 2 - 4 = 0. Let t(r) = -m*r + 7*r - r. Calculate t(l(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 26 = -2*d + g, -4*d + 5*g = 41. Let l = d - -35. What is the third derivative of -6*m**2 + 16*m**2 - 3*m**2 + l*m**6 + 4*m**2 wrt m?\nAnswer: 3120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 61*t + 348. Let q be r(66). Solve a = x, -3*a + 26 = -x + q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 133292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwel when four letters picked without replacement from weepwwweelewww?\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*m**3 + 116*m**3 - 63*m**3 + (m + 9*m - 4*m)*(-11*m + 12*m**2 + 11*m).\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53245 > 53248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 161 = 468. What is the highest common divisor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**2 + 37 - 17 - 17 to s + g*i**2 + x*i and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -1. Let h = -36 - -32.2. Let x = 6.8 + h. Which is the nearest to 1? (a) 5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 104.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -2010\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + m = -30*i + 3764, 5*i = m + 18814. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.1. Let f be -2 - ((-12)\/5 + 0). Suppose 3*x - 2*d = 7, -17 = -2*x + 5*d + 6. Which is the nearest to f? (a) -5 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eveawvajevvvv. Give prob of picking 1 w and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/27 + (-8)\/68 + 1196\/3519. What is the greatest common divisor of 106 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*p - 21 = 0. Let y be (-2)\/(0 - (-2)\/(-5)). Is p >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15994 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142, -280, -414, -544?\n\"Answer: 2*d**2 - 144*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759329823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59956 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 471922.2 weeks?\nAnswer: 285418546560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t - 6. What is b(-4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19840319.\nAnswer: 19840319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/28*((-19)\/(-6) - 2). Find i such that -1\/3*i**3 + 0*i + 0 + l*i**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 17\/2. Let z = 214519059\/45430 + 533\/2065. Let v = -4723 + z. What is the common denominator of v and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1 + -3)*-16. Let s be (8\/c)\/(2\/4). Solve -4*r = -20, s + 5 = i + r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -947934205 and 302.\nAnswer: -947933903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, t: 2, u: 1, m: 3}. What is prob of picking 1 m and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8316, 33269, 74858, 133083, 207944, 299441, 407574?\nAnswer: 532343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19687*o**3 + 27*o + 81 wrt o.\nAnswer: -118122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*b**2 + 401*b**2 + 2751*b - 2751*b.\nAnswer: -543*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, w: 2, j: 1}. What is prob of sequence kj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 6, -3*g - 14 - 306 = -w. Let k(h) = 5*h**2. Let u be k(1). Suppose 3*a - u*a = -w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 37. Suppose -2844 = s*y + 741. What is the remainder when y*3\/(-27) - (-2)\/(-3) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 23936\/3, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:17 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 150887.1 to the nearest 1000.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -167. Let a = 460\/3 + y. Let f = 32\/15 - a. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 27*x + 100. Give g(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (663\/(-221))\/(1\/2273*-3) is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84392000 rounded to the nearest one million?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*j = -0*k - 39, 4*k - 60 = -4*j. Suppose 7*u - 51 = k. Suppose -u*w + 4*w = 0. Which is bigger: w or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 7*c - 2. Let d be i(-6). Find the third derivative of -3*p**4 + 8*p**d - 11*p**4 + 21*p**2 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393937869 to the power of 1\/2, to the nearest integer?\nAnswer: 19848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - 110*y**2 - 2. Give v(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*9\/2. Suppose -r*n + 8 = -n. Suppose 2*k = 2*t, 2 - 8 = -t - 2*k. Calculate the smallest common multiple of t and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 17 = 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-40*h + 11*h + 97*h + 1)*(10 - 10 + h).\nAnswer: -136*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21882, 4, -21417?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*c - 940, -2*c = 7*y - 4*y - 2852. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 201\/(-33))\/(15\/(-10))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995153267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*q*t - 7*d*q*t + 2*d*t + 3*q*t + 3*t - 11 wrt d?\nAnswer: 4*d*q*t - 7*q*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5331 = -123*o + 2664. What is the remainder when 785 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 14*n - 16. Let w be t(-13). Let c = w + -3376\/5. Let r = -57968\/9 + 6433. What is the common denominator of r and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346 - 235. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**3 + 3*j**2 + 2*j. Let a(k) = 13*k**3 - 6*k**2 - 5*k. Give -2*a(g) - 5*l(g).\nAnswer: 4*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 55929862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 2. Suppose 7 = 4*f - 5*g, -2*f = -3*f - 3*g - 11. Let m be w(f). Solve -y - y + 3*j + 9 = 0, 5*y - 19 = m*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61\/2 of a millennium?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 6*i - i - 26, 0 = -4*i + 4*w + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -566401, 12, -2\/5, 0 in ascending order.\nAnswer: -566401, -2\/5, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 43 (b) 0.2 (c) -13 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027171 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1535, -11110, -36851, -86840, -169159?\n\"Answer: -1347*o**3 - o**2 - 143*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003876655 to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -118*s**2 + 0*s + 0 + 0*s**4 - 19\/20*s**5 + 88\/105*s**7 + 0*s**3 + 0*s**6. Find the third derivative of w(z) wrt z.\nAnswer: 4224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 12*j**2 - 27*j - 42. Determine a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from eeueululwieleeessl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**7\/1260 + x**6\/180 + x**5\/60 - x**4\/12 - 3*x. Let g(m) be the third derivative of w(m). Factor g(o).\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57081 is divided by 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1958*y + 501 = 364*y - 210801 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - ((-15 - 2176\/(-112)) + (-3)\/7). Solve 3*j = 3*j + b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 4*m, 7*m = -2*q + 3*m + 6. Let v = q + 4. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448e6 (base 16) to base 13.\nAnswer: 9aa76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t**2. Let x(i) = -108673*i. Determine x(o(p)).\nAnswer: -1521422*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588801 = -t - h, 331047 + 1435354 = 3*t + h. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/60 + u**4\/12 - u**3\/2 - 39*u**2 + 190*u - 4. Suppose 1 = g - 3*h - 11, 12 = -3*h. Calculate k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k + 1 + k**2 + 8 - 5. Let y(j) = -21*j**2 - 34*j - 16. Let i(t) = -4*t**2 - 7*t - 3. Let o(b) = 11*i(b) - 2*y(b). Let a be o(-5). Calculate f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from llnxnlxbngx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16258, 16318, 16358, 16378?\n\"Answer: -10*u**2 + 90*u + 16178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4123573488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 + 10*j - 1. Let z be i(-3). Put -1.1, 0.3, z, 2\/5 in increasing order.\nAnswer: -1.1, 0.3, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 0 + 3*v + 0. Let z(b) = -b. Determine z(k(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23066861 (base 9) to base 11\nAnswer: 6363295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffwwzfzgwwffwg. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3668 + 4029 - 8713)*(0*p + 4 - p - 6) as l*p + g and give g.\nAnswer: 2032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7 + 3. Suppose 0 = -6*l + 113 - 29. What is the greatest common factor of l and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 41) + (19 + -5 + -9 - -2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3445951320 to the nearest integer?\nAnswer: 58702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988 is divided by 2961?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, q: 1, f: 3, a: 3}. Give prob of sequence rar.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*t + 3 = 0, 3*t = -4*q - 0*t + 7. Solve -3*b = -2*b + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 + 17 - (195 + -190 - (0 - -16)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 151*m - 2160.\nAnswer: -(m + 16)*(m + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 167. Suppose -o*y + 512 = -394. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3, s: 2, g: 1}. Give prob of sequence gsz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 103*j**2 - 917*j - 94448. Determine d(-103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2314 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 17*v**2 + 21*v - 4. What is b(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11994651, -23989302, -35983953, -47978604?\n\"Answer: -11994651*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o - 224. What is b(-11)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 - 48*n**3 + 37*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/24)\/((-28)\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57328782006 - 0.2\nAnswer: 57328782005.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*1*(-336)\/32. Let c = 640 - g. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33350612 (base 7) to base 10.\nAnswer: -2886305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 143*c**5\/5 - c**2 + 106*c + 247. Find the second derivative of f(l) wrt l.\nAnswer: 1716*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/4 + 2*t**2. Let b be m(-2). Let z = b + -11. Solve -4*p - 13 = -z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.6 + -1.6. Let t = 6 - q. Let x = -1 + -2. Sort x, t, 0.3 in decreasing order.\nAnswer: 0.3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 85?\nAnswer: -93.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2650914.\nAnswer: -5301828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18589, 1\/6, -0.06, -0.1 in ascending order.\nAnswer: -18589, -0.1, -0.06, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8*d - 5 = -13*d, -26 = 2*t - 4*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 4*j, 5*j - 13 = -3*m + 37. Solve -f + 9 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 50*j - 92. Let g be w(48). Differentiate 111*p - 12 + g + 18 - 103*p + 22 wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433a (base 16) in base 4?\nAnswer: 10010030322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1184?\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/3, 13\/6, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/111, -1, 1, 13 in ascending order.\nAnswer: -1, -1\/4, 1\/111, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1309250000 rounded to the nearest one million?\nAnswer: -1309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/58 + 1321\/290. Find the common denominator of 19\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**4 + 2*z**2 - 2. Let u(p) = 1 + 3*p - 3*p**4 + 2*p**4 - p**2 - 4*p. Let x(q) = l(q) + 2*u(q). What is the second derivative of x(c) wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 7. Let d be a(5). Let j be (-22)\/(-8) - (-1)\/4. Find the third derivative of -2*c**5 + c**5 + c**d + j*c**5 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1987*z**2 - 41*z + 85. Let o be y(-24). Suppose -10*f + 51*f = o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6195988 is divided by 693?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/3)\/(-7*(-15)\/(-3990))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 + 4 + 56\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405775500 rounded to the nearest one million?\nAnswer: -406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 911 + -630. Calculate the remainder when p is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216016 (base 8) in base 12?\nAnswer: -360ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + h**2 - 3 + (0 + 0 + 2)*(8*h**2 + 32*h**2 - 3*h**2))*(-1 + 4 - 4)*(0*h + 0*h + 4*h**2) to the form t + q*h + y*h**2 + v*h**3 + p*h**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32236.00026069 - 32236. Round n to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llblbllftlbllblbbll. Give prob of picking 2 l and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*v, -3 = -l - 4*v - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let z be (3\/3 - v) + -1. Sort z, -3, -1 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96413.1 to the nearest one thousand.\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 62998956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = 3*m, -6*q + 33 = -q - 4*m. Calculate the remainder when 17 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 times 5?\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3\/12) + 228\/784. Let n = -43\/147 - p. What is the third smallest value in -1\/14, n, -0.3, 2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 3) + 3\/(-1). Let t be (-1 - n) + (3 - -20). Solve -k = -6*k - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 4. Let c(m) = 2*m**2 + 3. Let k(l) = 4*c(l) + 3*o(l). Let s(n) be the second derivative of 11*n**3 + 44*n + 3. Give s(k(x)).\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/25)\/(1\/5). Suppose 5*i - z = 13 - 3, 0 = i - 5*z - 2. Let p be (-7 + 5)*1*i. Sort 5, n, p in decreasing order.\nAnswer: 5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.904 rounded to 0 dps?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + (1 - 4))\/1. Suppose 0 = -2*s - z - 23. Let y = 29 + s. Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 48, 23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*k + 5491 + 9329 = 0, 5*q = 4*k + 37023. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19742, 19857, 19978, 20105, 20238, 20377?\nAnswer: 20522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/((-16422)\/136)*(-28)\/120?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*j - 140 + 120, -2*d - j + 11 = 0. Let i(h) = -h**3 + 6*h**2 - 6*h - 5. Calculate i(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-30)\/(-8)*2\/25)\/(3351\/44680).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 27 = -3*g, 0 = 8*g - 13*g + 2*q + 33. Let h = 3 - 2. Sort h, g, -2.\nAnswer: -2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 3*j + 2. Let n be c(3). Suppose n*b + 8 = 36. Calculate the smallest common multiple of b and (16 - (12 - 8)) + 2*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1834 or -1833?\nAnswer: -1833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 12. Suppose -4*y - 5*m - 16 = -3*y, m = -s. Let q be (-1 - y\/2)*2. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3132?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i*t**3 + 33747337*i*t - 402531*t**3 wrt t.\nAnswer: -156*i*t - 2415186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -393819*z**2 - 410918.\nAnswer: -787638*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5*x - 160390560*f**3*x**2 - f**2*x**2 + 19674*f**2*x - f**2 + 5*x**2 + 2*x - 3 wrt f.\nAnswer: 60*f**2*x - 962343360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 - k**4\/4 + 3*k**3\/2 + k**2. Let l(r) = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24*z + 2. Let h(g) = -455*g + 39. What is -2*h(b) + 39*r(b)?\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 8*c**2 - 37*c + 135. Let p be q(-12). Let v be -1*1 + 6\/6. Let b = v - -8. Solve p - b = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = s + 5*o - 0, -89 = -5*s + 3*o. Suppose 0 = s*q - 16*q - 573. Calculate the remainder when q is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209 - 192. Suppose -2*x - 90 = -7*x. Is x != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31450 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let v(a) = -a**3 + 6*a**2 - 3*a + 3. Does 3 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10477)\/(-8) + (-237)\/(-632).\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/(-33))\/((-39)\/299)*3\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v**3 + 86*v**3 - 15*v**3.\nAnswer: 132*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*r**5 + 105*r**4 - 770*r**3 + 205*r**2 + 180*r + 20 = 0.\nAnswer: -2, -1\/4, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -5. Suppose 3 = 4*x + 19. What is the closest to l in x, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18*j**2 + j + 7. Let o be y(-3). Let s = -226 - o. Let g = s - -85. Calculate the greatest common factor of 119 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + o + 18411 = 197194. List the prime factors of o.\nAnswer: 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -678 + 690. Let b be 5\/((-5)\/(-109)) - (1 + 0). Calculate the highest common factor of g and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98666\/7 + -14095. Let c = -2 + 2. Put t, c, 167 in ascending order.\nAnswer: c, t, 167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10541421 + 3540?\nAnswer: -10533441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -235532 from 289.51.\nAnswer: 235821.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (78\/108 - (-13)\/(-26))\/((-2)\/(-4))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-4))\/(-54)*((-3)\/(-4))\/1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -17. Is 455\/u + 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 0.2, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4\/5, -4, -1\/58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:38 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 415, 1269, 2569, 4327, 6555, 9265?\nAnswer: 12469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11)*1*3)**2 + 3 + (sqrt(11) - sqrt(44)\/sqrt(4)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 16485332.\nAnswer: 65941328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-53 + 20 - -7) + -3\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32d7 + -8?\nAnswer: 32cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*o + 23 - 6 = 0, -m - 5 = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 39.0000152. What is z rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568873*q**3 - 7178*q - 20 wrt q?\nAnswer: -3413238*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 22 = 5*n + y, 0 = -2*y + 2. Suppose 209 = n*r - 166. Suppose -5*q + r = -65. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 3*v. Let g be 3*(0 + -1) - (-20)\/4. Let l be (g\/3 - (-28)\/(-63))\/(-4). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**6\/6 + 12*d**5\/5 - 15*d**4\/4 - 26*d**3\/3 - 1223. Factor w(l).\nAnswer: l**2*(l - 2)*(l + 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 23*a + 15. Let u be f(-12). Suppose -v - 4*v = u*d - 3723, v - 755 = 2*d. Find the third derivative of v - 9*i**2 - 747 - 38*i**3 wrt i.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1716.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14844990?\nAnswer: 2, 3, 5, 59, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 757 + 346 - 201*s + 423 as u + k*s**3 + o*s**2 + r*s and give r.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022002310010 + 2?\nAnswer: -3022002310002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -36, -54, -74?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 260, 3\/2 in decreasing order.\nAnswer: 260, 3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 311894111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 5, l: 2}. What is prob of picking 1 e and 1 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7927, 15534, 23137, 30736, 38331, 45922, 53509?\n\"Answer: -2*j**2 + 7613*j + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 34*o - 616. Calculate f(-20).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 115) + -1 + 43 - 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12231414 (base 8) to base 11.\nAnswer: -1584646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ozzzzzwzozzzzzzzo.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7339 is divided by 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t**(-1))\/(t\/(((t\/(((t*t**(-2\/19)*t*t*t)\/t)\/t))\/t)\/t)*t*t**(1\/3)))**(-19\/5) assuming t is positive.\nAnswer: t**(374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 55 = -4*u + 5*v, -v - 3 = 0. Suppose u + 12 = 2*c. What are the prime factors of 2\/(-4)*2 + c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5663454 divided by 1887818.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4165.9987568 + 4166. Round n to 5 dps.\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 - 3*k - 4. Let z be w(-5). Let j = z + 3. Let q = j - -17. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/6 - q**2\/2 - 990*q. Let u(w) = 4*w**2 - 5*w - 8. What is -6*t(s) + u(s)?\nAnswer: 4*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13594.03 - 13594. Which is the nearest to 1? (a) -0.1 (b) h (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -4*r. Suppose 2*f = -i + 8, 0 = -3*i - 5*f + 19 + 3. What is the derivative of 4 - 3 - i*a**3 - 3 + r wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 3, k: 3, e: 4, m: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 29*d + 30. Let u be i(15). Suppose 4*a + 19 = u. Let f(b) = 12*b. Let n be f(a). Do n and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let m(t) be the first derivative of 0*t**2 - t**2 + 0*t**2 - 3*t - 3. Let f(i) = 2*i + 2. Give q*f(z) - 3*m(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23185 = -35*d + 6670. Suppose -1668 = -3*p + 3*k, -k - 807 = -3*p + d. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.177 + -0.823. What is the second biggest value in -2, 31, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1682*g**2 - 638*g. Let y(b) = -21*b**2 + 8*b. Let d(j) = 4*q(j) + 319*y(j). Let a(m) = -4*m. Determine d(a(w)).\nAnswer: 464*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/23235 and 47\/33.\nAnswer: 255585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 9) in base 5?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 13696*a**2 + 150922*a + 164616.\nAnswer: -2*(a - 12)*(a + 1)*(a + 6859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 11*s**2 - 13*s + 16. Let r be y(12). Is r >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4477139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1665 divide 5035767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*w - 20 - 0, -5*g = -w + 14. Put g, 4, -13, 1 in ascending order.\nAnswer: -13, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*v - 720*v + 38 = 2*t, -2*t + 3 = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (1 + 7 - (36 - 25)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + sqrt(1331) + -5 + -2)*4.\nAnswer: -28 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13748271965 minus -43.31?\nAnswer: 13748272008.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14943 or -14944?\nAnswer: -14944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 * 10651.\nAnswer: 702.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 624765 - -54?\nAnswer: 6247b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3339\/(-9))\/(36\/((-648)\/(-63)))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -241196.07 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28966 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2929.997?\nAnswer: 878.9991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 27 = -9. Let r(h) = -h**2 + 9. Let n(f) = 2*f**2 - 19. Determine o*n(p) + 13*r(p).\nAnswer: -p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13 = -4*a, 5*k + 3*a - 3 = -0*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 49 = 4*i + 5*n, -i + n = -7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -81?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d. Suppose -514*z - 496*z + 1029*z = 57. Find f, given that -2\/9*f**2 + 0 + 2\/9*f**4 + 0*f + d*f**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/12*18\/(-12). Let f(o) = o**2 + 4*o + 4. Let a(n) = 2*n**2 + 9*n + 9. Determine z*f(l) + 2*a(l).\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 + 24\/84 + 89\/7 and 23?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -160, 132, 872, 2060, 3696?\n\"Answer: 224*h**2 - 380*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 4. Let u be g(-1). Let v(a) = -4*a + a + 6*a - u*a. Let b(r) be the first derivative of -6*r**2 - 1. What is v(b(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 66. Suppose -l*s + 21*s + 12 = 0. Solve -2*q + 0*h - 14 = -2*h, 3*q + 3*h = -s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.951 to zero dps.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*8\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -177*s + 1540. What is the smallest common multiple of w(4) and 28?\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1)\/2*-12. Let v(m) = 11*m**2 - m + 9. Let o(p) = -17*p**2 + 2*p - 14. Determine w*o(u) - 8*v(u).\nAnswer: -3*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 - 52*z + 4. Let m be i(13). Solve -3 = -5*b + m*p, 0 = -b + 2*p - 6*p - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) - 2*sqrt(294))\/(sqrt(3)*-1*-1) + ((1*sqrt(80))\/sqrt(5))\/((1*sqrt(40))\/sqrt(5)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, h: 1, n: 4, j: 2}. Give prob of picking 3 e and 1 j.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavtuuv. Give prob of sequence ut.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose 42 = 57*w - 71*w. What is the nearest to h in w, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-18 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21259238 - -649.294?\nAnswer: 21259887.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7724444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 2, v: 1, z: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from nvnvnnnnnvnn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 3*a - 6*a, -4*a + g = 2. Suppose a = -0*z - 12*z + 792. Let v(y) = -66*y - z*y + 128*y - 4. Give v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5. Let q(i) = -i - 4. Calculate 3*f(m) + 2*q(m).\nAnswer: -2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -8*n + 3*n + 10, 0 = -5*n - 5*z + 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1*-5 + sqrt(396) - (-1 + sqrt(396) + sqrt(396) + -1)) + (3*(sqrt(396) + -1*sqrt(396))*3)**2 + 5.\nAnswer: 7 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 53 - 24 = -i, 2*x - 77 = -i. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - 3111?\nAnswer: -3151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/20 - 7*h**4\/4 - 13*h**3\/2 - 10*h**2 - 1. Factor c(l).\nAnswer: -3*(l + 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2071 (base 10) to base 6.\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhxkjyhbbkhjhhhh. Give prob of sequence kj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20ba8 (base 13) to base 7\nAnswer: 334234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-30))\/(-4*3\/30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h = 11427 - 58089. Which is smaller: h or -709?\nAnswer: -709","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3*d, -5*m - 2*d = -32 - 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5218027445*k**3 + 2609013720*k**3 + 2609013724*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4345 and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s - g - 1 = 0, -2*s - 2*g = 2. Let a be 6*(-4)\/16*(-12)\/(-99). Is a smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 4. Let z be p(0). Let s be 3\/12 - (-71)\/z. Suppose 4*v - 4*j - 56 = 0, -v = -2*v + 2*j + s. Solve 3*c + 14 = w, 4*c + v = -3*w - 0*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j**(-4)*j)*j**(-3\/7)\/j*j*j*j*(j*j*j**(-3)*j*j)\/j*j*(j\/(j**(-2)\/j)*j)\/j assuming j is positive.\nAnswer: j**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/416938 and 115\/6.\nAnswer: 1250814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2598*j**2. Let p(x) = 2*x**2. Give t(p(h)).\nAnswer: -10392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*v - 139 + 17 = 0, -9*r - 26 = -v - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1148*f - 1026*f - 3301320 = 0. Is f a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -978.\nAnswer: -1\/978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/14 and 79\/216346.\nAnswer: 1514422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -53. Suppose -4*q - o*t + 15 = -1, -t = 0. Which is smaller: 28\/11 or q?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*c + 5 - 0, 0 = -4*c + 4*j + 4. Suppose c*g - 2*g = 6. Suppose 0 = -5*a + 3*r + 217, -2*a + 92 = -2*r + g. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 44027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 + 0*t**3 - t**5 + (0 - 1 + 3)*(4*t - 4*t + 3*t**5).\nAnswer: 5*t**5 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4965369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 10. Let d be s(-7). Let x = 46 + d. What is the common denominator of (3\/(3\/x))\/15 and -77\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -27*n**2\/8 + 1253013*n\/4 + 696135 = 0.\nAnswer: -20\/9, 92818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*z = -2317, -6*z + 2318 = -66*f + 70*f. Calculate the highest common divisor of f and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1121540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.05 + 0.05. Let c = -89010 + 89012. Put a, c, -1\/8 in increasing order.\nAnswer: a, -1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/160*8*15\/(-18)*88\/10.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:18 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(1\/((-1)\/2)). Let s(z) = z + 1. Let c(i) be the third derivative of -i**4\/24 - 2*i**3\/3 + 3*i**2 - 33*i. Calculate u*c(j) - 4*s(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 5\/27983252 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3573438, 3573436, 3573434, 3573432, 3573430?\n\"Answer: -2*j + 3573440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwwdwuddwwddwd. Give prob of picking 1 w, 1 u, and 1 d.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6915 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533093931.\nAnswer: 3931, 390001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3 - (84\/15 + (-68)\/(-170))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 278 = 1034. Solve 30 = -2*y + w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*n = -26, 4*y - n = -5*n - 8. What is the tens digit of 1288\/84*y\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/4 - 2*q**3\/3 - q**2\/2 + 2*q + 3. Factor y(v).\nAnswer: (v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:38 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2036133134390 - -58.\nAnswer: 2036133134448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjujnnurnu. Give prob of picking 1 r and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 5*p**2 + 4. Let n be l(-2). Suppose n = -4*m + 24 - 4. Suppose 132015 = -2*o - m*t, -29130 = o - 2*t + 36864. Round o to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 100 - w + 88 - 184. Let u be x(2). Calculate the greatest common factor of 8 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b**2 + 3*b**2)*(b**2 + 0*b**2 - 4*b**2)*(-15547 - 121*b + 15547).\nAnswer: 2178*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u*u**(2\/5))**(-27))**(-2\/165) assuming u is positive.\nAnswer: u**(-54\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from eeddddeeededededeeee?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 11*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/12 - 11*m**3\/6 - 3*m**2\/2 + 49*m. What is the least common multiple of p(-5) and 69?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) -10\/7 (d) -768 (e) -1\/4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 9\/4*i**3 - 53*i - 75\/2*i**2 = 0. What is i?\nAnswer: -2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*c + 3 = 2*c, 0 = -4*q - 4*c + 8. Let l = 61409.11 + -61409. What is the second smallest value in 0.2, q, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*-1*3. Let n be -2*(a + -1 + 1). Let b(s) be the third derivative of -s**4\/24 - s**2. Let z(r) = -2*r. What is n*z(m) - 7*b(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -66. Suppose w + 46 = 8*g. Solve g = -5*h + 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 - 63. Let o = 154 - x. What is the highest common divisor of o and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3608 + 3707 - (-2 + 2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 11 + 12 + 18*j + (4 + 0 - 3)*(-j + 2*j + 0*j) to the form g + d*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -108*n**2 - 5*n + 23. Let m(f) = -f**2 + f - 1. What is g(t) + 3*m(t)?\nAnswer: -111*t**2 - 2*t + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -78430100 divided by -175\nAnswer: 448172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*0\/(-2 + 4). Suppose -3*g + 7*g + 12 = k. Let d = 6 - 4. Which is the second smallest value? (a) d (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose -2*j - 4 = -4*r - 3*j, -n*j = 0. Suppose r - 34 = -3*d. What is the remainder when 20 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297673522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -61.9 times -712\nAnswer: 44072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/120 - z**5\/12 - 7*z**4\/24 - z**3 - 3*z**2. Suppose 3*x = -4 + 22. Let c be u(x). Is c not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*g + g = -37, -392*g + 395*g = -8*f + 151 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 6)*(2*x**3 + 0*x**3 - 3*x**3) + 3*x**3 - x**3 - 3*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-219)\/(-6)*(297 + -7). Suppose 19*l + p - 53202 = 0. Suppose -5*b - 2012 = l. Round b to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 78 = 22. Solve -t*j - 14 = -2*d, -3*d - 38 + 15 = 5*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1263816495 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:21 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q**(-11)*q)))**(-12)*q\/q**(3\/2)*q*q**18 assuming q is positive.\nAnswer: q**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4553 - 1457. Let m be (-2)\/11 + t\/88. What is the greatest common divisor of m and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 9, b: 9}. What is prob of picking 4 b?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 6. Let h be p(-3). Let v be 12\/(-6) + (2 - h). Suppose -6*z + 577 + 539 = v. What are the prime factors of z?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-2)\/(-8)). Suppose 2*n = n + r. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 9*h**4\/2 + 47*h**3\/3 + 54*h**2 + 79. Let v(z) be the second derivative of s(z). Differentiate v(j) with respect to j.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 - 30*m + 5. Let o(p) = -p**3 + 2*p**2 + 2*p. Give -j(l) - o(l).\nAnswer: 2*l**3 + l**2 + 28*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 11*w - 5. Let q(f) = 2 - f**2 - 64*f - 7 + 52*f. Let b(g) = -7*o(g) + 6*q(g). Is b(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48558\/264 - 4\/22. Suppose -a - 3*m = -2*m - 185, -3*m = -5*a + 901. Let q = a - p. What is the common denominator of q and -145\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*g + g - 4*g)*(-g + 0*g - g) - 213*g**2 + 52815 - 52815)*(g - 5*g + 2*g) as y*g**3 + c + z*g**2 + p*g and give y.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50426990 and 20070.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhx when four letters picked without replacement from hxhhhxhhhh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*g**2 - 3*c**2*g + 2*c**2 - 56282*c - 104*g**2 wrt g?\nAnswer: 2*c**2*g - 3*c**2 - 208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.4798ng to milligrams.\nAnswer: 0.0000494798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22740 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 12*n**2 + 19*n + 5. What is x(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 21795*p**3 - 21790*p**2 = 0.\nAnswer: -4358, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 3. Let f = s + 5. Which is greater: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 - 5*b**5 + 5*b**5 + b**3 + b**5 - b**3 + (13*b - 13*b - 5*b**4)*(1 - 1 - b)*(-8 - 1 + 1).\nAnswer: -44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*r + 1)*(-2 - 1 - 1 + (4 + 2 - 5)*(1 + 0 + 0))*(r**2 - 3*r**2 - 6*r**2) - 2 - r + r - r**3.\nAnswer: -97*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 - 202. Let v be (-8)\/(-60)*s\/33. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.7 - -83. Let t = o + -4.4. Let z = -55 - -55. Which is the fourth biggest value? (a) -0.4 (b) 1\/3 (c) z (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (1748\/(-352) - -4). Which is the second smallest value? (a) -3 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 10*p - 11. Suppose 5*r = -2*d + 710, -3*r + 459 = -5*d + 2. Let t be (-4 - -1) + r\/18. Calculate the smallest common multiple of 6 and k(t).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*i - 3*i, 0 = 3*i - 2*v - 4. Suppose 2*y = -3*d + 517, 7*y - 2*d - 1283 = i*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581426 rounded to the nearest one thousand?\nAnswer: 581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(24\/(-16) + (-2)\/(-4)). Solve 0 = -2*u - k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**4\/3 + 110*t**3\/3 - 275*t**2 + 2320*t\/3 - 1600\/3 = 0.\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327448 - -411929477\/1258. What is the common denominator of -11\/340 and r?\nAnswer: 12580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-9)\/(-15))*2\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -3750, 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5\/4, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -a - 9, 3*b = -3*a - 3. Factor 2\/3*p**3 + 0*p + b - 2\/3*p**2.\nAnswer: 2*p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66005 (base 8) in base 4?\nAnswer: 12300011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 - 6*f - 2. Let h be z(-5). Sort h, 2, 0 in decreasing order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10621*g**2 + 2*g - 27250*g**2 - 2*g in the form x*g**2 + q*g + s and give x.\nAnswer: -16629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 - 124*z - 369. Determine g(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144003683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9298 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234677, -938914, -2112641, -3755858?\n\"Answer: -234745*b**2 - 2*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/5)*z*z)\/z**(-6)*(z**(1\/3))**11)**17 assuming z is positive.\nAnswer: z**(3281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 3874?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-4)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - v - 175 + 42 = 0, 260 = 4*k + 4*v. Let c = -39 + k. Let f = -24 + c. Solve p + 20 = -f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = 9. Let u be t\/(-3) + (-56)\/(-6). Let f = u + -1. What is the remainder when 24 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1. Let m(a) = 8113*a + 854. What is -m(u) - 854*y(u)?\nAnswer: -8113*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 204 and 0.21.\nAnswer: 42.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r + 3. Suppose 5 = 4*y - 3*y. Suppose -2*m + 0*m + 16 = 0. Let i(f) = -11*f + 15 + m*f - 11*f - 10. Calculate y*i(a) - 8*z(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*k - 51, -5*k - 28 - 39 = -4*b. Suppose -s - b = -4*s. Solve -20 = -s*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3\/1718270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(42)\/(sqrt(600)*-2) + (sqrt(7)*-1 + 3 - sqrt(7))*-3)*-3 + -2)**2.\nAnswer: -4998*sqrt(7)\/5 + 1205743\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 217.077. What is the smallest value in x, 3, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57 - -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 382, 837, 1450, 2209, 3102, 4117, 5242?\nAnswer: 6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 5. Suppose -m + 27 = s, 0*s + 3*s + 143 = 5*m. Let w = m - 32. Let h be k(w). Is -12 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2. Let b(o) = -3*o**2 - 6*o + 6. Let c(n) = 6*n**2 + 13*n - 13. Let t(j) = -13*b(j) - 6*c(j). Calculate l(t(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 q when four letters picked without replacement from zwwzqzqq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*o - 16, -2*o + 3 + 9 = 4*z. Which is bigger: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q)**23\/((q*q**7)\/(q\/(q\/(q**(7\/5)\/q)*q))))\/(((q\/((q**(-3\/4)*q)\/q))\/(q*q**(-9)))\/(((q\/(q**(-3)\/q))\/q)\/q*q**(-1\/10))) assuming q is positive.\nAnswer: q**(-309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 2, a: 2}. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 6:48 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.828976 rounded to 2 dps?\nAnswer: 20.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*i - 8 + 2, x - 2*i = -9. Which is the nearest to -1\/2? (a) x (b) -0.38 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3)\/b*b**(-12\/11)*b*b)\/((b\/(b\/b**(-2\/13)))\/b**(-1\/16)))**(-2\/5) assuming b is positive.\nAnswer: b**(-4579\/17160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**2 + 367*c + 58. Let o(k) = -7*k**2 + 368*k + 49. Give -6*o(i) + 5*x(i).\nAnswer: -3*i**2 - 373*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14104763*d*i*u**3*v**3 - 249*d*i*u**2 + 3*d*i*v - 4*d*u**2*v**3 - d*u**2*v - 25*d + 2*i*u wrt u.\nAnswer: -84628578*d*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5))**(-4\/19)\/(o**(-1))**(-3\/35) assuming o is positive.\nAnswer: o**(-169\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73777, -73770, -73759, -73744, -73725, -73702, -73675?\nAnswer: -73644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 34 (b) 0.3 (c) 6 (d) 13\/24 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**4 + y**2)*(3 + 2 - 4) + (2*y**2 + 1 - 1)*(-7*y**2 + 4*y**2 + 13*y**2).\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2127, -2141, -2157, -2175, -2195?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -650705, -1301406, -1952107?\n\"Answer: -650701*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrssr. What is prob of sequence ssrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 5:12 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 1.95. Let g = -3.03 + 0.03. Which is the nearest to d? (a) -4 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712 a factor of 318592512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:04 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 2*d, 3*b + 3 + 26 = 5*d. Let x be 17\/d + -4 + (-15)\/(-4). Suppose x*g = 4*j + 164, -82 + 287 = 5*g + j. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 - 1076*a**4 - 75708*a**3 - 1464480*a**2 - 948402*a + 8377668 = 0.\nAnswer: -459, -39, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57626, 231316, 520824, 926150, 1447294?\n\"Answer: 57909*y**2 - 37*y - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 5, r: 3, c: 3}. Give prob of sequence kk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - -22.6. Let i = -29 - u. Let b = -47.0069 - i. What is b rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 7. Let j(p) = -4*p + 5. Let n(s) = s - 1. Let y(a) = 2*j(a) + 9*n(a). Suppose 0 = 2*w, 2 = m + m + 2*w. Calculate m*q(o) - 6*y(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*p + 139*p**3 + 87*p + 48*p**3.\nAnswer: 187*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793, 3335, 7917, 14821, 24329?\nAnswer: 36723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 210*l**2 - 3349*l - 387. Give u(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(612\/8)*-1*-15\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2 - 2*d*z**2 + 4*d - 10*z**2 wrt d?\nAnswer: 4*d - 2*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -413, -3.\nAnswer: -413, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/306 and 149\/10176.\nAnswer: 518976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41926 is divided by 1051.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z + 1\/2*z**2 + 2\/3*z**3 + 1. Is x(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 4. Find the common denominator of -43\/32 and (204\/32*k)\/(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/24 + 5*l**3\/3 + l**2 + 1. Let u(q) be the second derivative of m(q). Let b be u(-8). Solve -15 = o + b*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166, -169, -172?\n\"Answer: -3*z - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*d + 9*d**3 + 55*d + 7*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81525460 and 4360.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 156577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 7:21 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/32 + 5)\/(-2 - -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925532727.\nAnswer: 17, 6662743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1716568 and 8792.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10271*j**5 + 3*j**2 + 1 - 9730*j**5 + 15 wrt j.\nAnswer: 32460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6593, 26393, 59405, 105623, 165041?\nAnswer: 237653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2118, -2132, -2184, -2298, -2498, -2808?\n\"Answer: -4*z**3 + 5*z**2 - z - 2118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15))\/(4\/(-15))*2. Suppose -v*x + 4 = -2. Solve -4*m = -0*m + x*n - 8, -5*m = 4*n - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922370 is divided by 1267?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.04, -8\/11 in descending order.\nAnswer: -0.04, -0.1, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-104)\/20 + (-42)\/(-10) + -4. Let k be (n + (-72)\/(-6))*1. Suppose k*x = 10 - 3. Solve 0 = -4*d - 4*j - 16, 3 + x = -3*d + 5*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 2*a**2 - a**2)*((-1 + 2 - 2)*(5 - 4 + 0) + 0 - 5 + 2) to u*a**2 + n + d*a and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 2*h**3 + 4*h**3 + (-h + h - 2*h)*(-196*h**2 + 59*h**2 + 2 + 68*h**2) in the form f*h**3 + m*h**2 + n + t*h and give f.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1132? (a) -5\/2 (b) 23 (c) -1\/5 (d) 0 (e) -1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 0.1 (c) -1\/354 (d) -1 (e) -2 (f) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169.6747 - -169.6. Let r = j + -1.2813. Let p = r - -1.51. Round p to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.3195mm in kilometers?\nAnswer: 0.0006373195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -11*b + 54. Suppose 0 = -b*d + 2*d + 4669. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*l**5*s - 19*l**2*s + 2*l*s + 2*l - 124*s wrt l.\nAnswer: 380*l**3*s - 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5*q**2\/2 + 170. Let u(r) = 14*r**2 - 7*r. Give u(h(p)).\nAnswer: 350*p**2 + 35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*b - 4*u = -74*b + 71697, 2*b - 28674 = 4*u. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -935, -922, -907, -896, -895, -910?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/12*(-32)\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:44 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 56. Suppose 3*c + 5 = 2*r - 2*c, 4 = 5*r - 4*c. Solve -71 + 71 + 3*k**5 + r*k**3 + 5*k**o + 2*k**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 1, v: 1}. Give prob of picking 1 d and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12521 + -314?\nAnswer: -13135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-190.9.\nAnswer: 2290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67792619\/230 - 294751. What is the common denominator of (190\/225)\/((-4)\/(-35)) and j?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - 1 - 2*m**2 - 5. Let l(a) = 2*a**2 + 6. Let k(f) = 6*d(f) + 5*l(f). Let i(b) = -3*b**2. Calculate i(k(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 162. Suppose -3*v - 4 = -5*b + 8, 0 = -3*v + 3*b - 12. Let k = g + v. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.916 and 4.13.\nAnswer: 3.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43388 (base 10) in base 7?\nAnswer: -240332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -811, -669, -537, -421, -327, -261?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.204736 * 1\nAnswer: -0.204736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.5 (b) 2141\/6 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159280 equal to 159216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/3))\/(d\/d**(-1\/3)))\/(((d\/(d\/(d**1*d)))\/d)\/d**4))\/((d**(-1))**(-2))**(-35) assuming d is positive.\nAnswer: d**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.106058897515 and 0.37?\nAnswer: 0.476058897515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 + (-32)\/(-6). Suppose 0 = 4*x - 2*x + 6, -h*o + 2318 = 4*x. Suppose -2*q = -4*q + o. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/181674478 and -109\/306.\nAnswer: 1635070302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 3. Let j be z(13). Let f = 93\/4 - j. What is the second smallest value in f, -4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/17 - 74*q\/17 - 72\/17.\nAnswer: -2*(q + 1)*(q + 36)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 469 - 469 + 206*l in the form i*l + o and give i.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) + (-271051)\/(-287). Let p = -602 + l. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -70, -50, -10, 56, 154, 290?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -1\/4*u**4 - 1\/3*u**3 - 2*u + 3\/2*u**2 - 2. Let f(x) = -8*x**3 - 95*x**2 + 13*x + 9. Let i be f(-12). What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75050678?\nAnswer: 2, 479, 78341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -296. Suppose v + 274 = -3*s. Let u = s + 86. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13158, 13168, 13184, 13206, 13234, 13268?\nAnswer: 13308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/(-119))\/((-396)\/616).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 43*x**2 + 48*x**2 - 11 - 59*x**2 - 134*x**2 - 10*x. Let y(k) = k + 1. Let b(i) = o(i) + y(i). What is the second derivative of b(v) wrt v?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 67556*q**2 - 6*q - 20 + 0*q. Suppose -14*j + 19*j = -75. Let w be t(j). What is w rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870828 (base 10) in base 12?\nAnswer: 1368090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 3638 = -110*g + 1977*g - 28156 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 = -3*u - 16*u - 22*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -40, -57, -74, -91?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173824 divided by -679.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 90.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*h + m, 124 - 72 = -3*h - 5*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**4 + 226*d**3 + 5156*d wrt d?\nAnswer: 60*d**2 + 1356*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198265*d*i*p + 35*d*i + 14525552*d*p + 2*d wrt i.\nAnswer: 198265*d*p + 35*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = t - 14, 10*t + 3*w = 5*t + 62. What is the first derivative of -91 + t + 8 + 47*y wrt y?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.9. Let n be 80\/(0 - 2)*(-6)\/15. Suppose 4*j + 0*j = -4*u + n, 2*j = 5*u - 20. Which is the closest to l? (a) j (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 17)*((-4*p + 4*p - 2*p**2)*(1 - 1 - 2*p) - 9*p**3 + 5*p**3 + p**3) in the form k*p**2 + f*p + b*p**3 + o and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/1260 + z**5\/105 - z**4\/21 + z**3\/3 - 2*z**2. Let y(r) be the first derivative of n(r). Solve y(a) = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:24 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 48. Let z = 1 + -1. Which is the second smallest value? (a) p (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(0*s**4 + 11*s**4 - s**4) - 13*s**4 - 5*s**4 + 4*s**4 - 4*s**4 - 63*s + 63*s.\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*11\/(11\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s*(s\/s**16)\/s)\/((s*(s**(1\/5)*s)\/s)\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 1 + 6*c + c - 5*c. Let d be r(3). Is (-12)\/21*(d - 5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17871*u**5 - 6*u**4 - 10*u**2 - 9279282*u?\nAnswer: -357420*u**3 - 72*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5085 and 45?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 9 = -3*a. Let d(z) = -13*z - 4. Let f be d(a). Suppose 0*t - q - 16 = -t, -2*t + 3*q + f = 0. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1247*z**2 + 1036*z**2 + 2072*z**2 + 3102*z**2 in the form c*z + h + l*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -36*j - 9. Let r(a) = -7*a - 2. Let t be ((-3)\/(-9))\/(5\/60). Let m(f) = t*i(f) - 21*r(f). List the prime factors of m(12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and (-8)\/(-4)*24*12.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2. Let n(d) = 626*d**2 + 38113. Calculate n(k(h)).\nAnswer: 5634*h**4 + 38113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 1, t: 5}. Give prob of sequence rt.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)*x**(-1))**(-29) assuming x is positive.\nAnswer: x**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccch. Give prob of sequence chcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(5 - 3) - 1336\/(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(85)\/sqrt(5))**2 + (4*(sqrt(68) + -1))**2.\nAnswer: -96*sqrt(17) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1536 + 1142 + 246 + 1614)*(-y - 2*y + y).\nAnswer: -9076*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 + i - 4. Let c be b(2). Let v be (-2 - c)\/(1\/(-2)). Solve 3*s + 7 = 5*z - v, -4*z = 4*s - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + -5)*10\/(-8). Let d(b) = -2*b - 13. Determine d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5079 + 5080. Put 4, 5\/4, 66, g in increasing order.\nAnswer: g, 5\/4, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1353702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 7057688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5190 = -13*s - 1654. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = b. Suppose 4*j = -b*m + 26, -33 = -5*j + 4*m - 7. Let k be 31\/6 + 0 + (-7)\/42. Solve -2*y - 3*h = h + j, 0 = -5*y - k*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 4) in base 16?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 6d8?\nAnswer: -6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/12 + 3*r**2\/2 + 3*r. Let p be m(0). Suppose -q = -p*q + 24. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.749 + -0.149. Let l = -20 + n. What is the second smallest value in -0.5, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32094682.\nAnswer: 2, 499, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6426 divided by 63\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1544165 + 7302.7905835. Let q = u - 7303.16499762. Let g = -0.22 - q. Round g to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(24\/117)\/4. Let k be 1\/12 - 3\/9. Which is the biggest value? (a) s (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upp when three letters picked without replacement from {u: 3, p: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*p**4 - 8*a*p**3 + a*p**2 + 40*a + 2*p**4 wrt p?\nAnswer: 96*a*p - 48*a + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2818*c**3 - 2820*c**3 + 5640*c**3 - 5.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13*x**2 + 24*x + 37. Suppose 2*l = -2*s + 1 - 5, 3*s = -l + 2. Let a(v) = 6*v**2 - 12*v - 18. Let q(i) = l*f(i) - 9*a(i). Let q(c) = 0. What is c?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3362 is divided by 259?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 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: Evaluate 2\/8 - (-248)\/(-992).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182771 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 41*o + 45. Give b(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swfwttb. What is prob of sequence st?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-140)\/(-392))\/(10\/6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 0 + (0 - 1). Let h = 53 - 55. Is (-7)\/j*424\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182372552 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 13*q - 10. Let s be z(13). Let u(l) = l**3 + 10*l**2 - l - 3. Let p be u(s). Let h = 9 - p. Solve 2*x = 2*y - 12, -x - 2 - h = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (1 - -1) + 29 - 44?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 3*h, 2*j - h = -0*h + 8. Suppose -x - 2*f + j*f = 0, x - 3 = -f. Suppose -x*k = -6*k + 680. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 1168 = -4*y. Let z = y + 1708. What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + l**2 - l + 1. Let q be i(1). Let f = q - 21. Let u = f - -31. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32368, -33852, -36324, -39784?\nAnswer: -44232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))\/(h*h\/((h\/h**(-2))\/h*h)))\/(h**(-2\/7))**(7\/3) assuming h is positive.\nAnswer: h**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 84350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*11\/5940)\/((-11)\/(-1089)).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 29. Solve l - 2*a + 9 = p, -l - l = a + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3)*(q + 2*q - q) + 10*q**2 + 9*q**2 - 9*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*l**2 + 95*l - 1.\nAnswer: -(l - 1)*(94*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeereeereee. Give prob of picking 2 e and 2 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/34, 3\/155, 10?\nAnswer: 3\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.5. Let i = 12701 + -12700.8. What is the nearest to i in 3\/8, -1, u?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from ryyyvysgydgrysvvds.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-19)*(-34 + 16171\/471)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1798*l. Let f(k) = -11022*k**2. What is f(g(b))?\nAnswer: -35631965688*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1110100010111?\nAnswer: 1110100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620589.\nAnswer: 1620589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 651 + -644. Let i(u) be the second derivative of -1\/3*u**3 + 0 + 1\/12*u**4 + 0*u**2 + 3\/20*u**5 - 1\/30*u**6 + 5*u - 1\/42*u**l. Factor i(b).\nAnswer: -b*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101103130 (base 4) to base 14\nAnswer: 1bb88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*v**6*z**3 + 2*v**2*z + 7*v**2 + 8*v*z**3 wrt v.\nAnswer: -21120*v**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:55 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 25700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -44. Which is the third biggest value? (a) s (b) 1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2172, -2309, -2538, -2859?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvvbvqvbvvvvvvvv. Give prob of picking 1 q and 2 v.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/42)\/(74\/(-259)). Which is the closest to -1? (a) 1\/3 (b) q (c) -2\/13 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306700 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, -49, -1.67, 5, -1\/2?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (126 + -131 + 1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - ((sqrt(85) - (-2*sqrt(85) + sqrt(85) - sqrt(85)))*1 + sqrt(85) + sqrt(85))) + sqrt(85))\/sqrt(5))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**3 - 1. Let n(c) be the first derivative of -c**4\/4 + 11. Calculate -k(d) + 6*n(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 8*r = 21. Let f = r - -26. Let h = f + -12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/346171337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*o**2 - 3 + (-o - 2*o + o)*(2*o + 0 + 0) + 5*o - 5*o + o**2 + 7*o**2 - 3*o**2 + 4*o**2 to k + w*o + l*o**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 - w**3 - w**2 - 3*w - 8. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714 is divided by 56?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/20*c**5 + 1\/2*c**4 + c**2 - c + 26 + 0*c**3. Determine m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6184 - -6184.2983. Let t = p - -14.8917. Let m = -1.59 + t. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87863.2392 rounded to the nearest 10?\nAnswer: -87860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(3\/5)*b)*b)\/b**(-11)*(b\/(b*(b*b*b**(-6\/11)*b*b*b)\/b)*b)\/b*b**(1\/2) assuming b is positive.\nAnswer: b**(951\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 7. Suppose -7*d = 74 + 3. Let y be v(d). Solve -5*m = 3*g + 10, 3*g + 4 = -y*m - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 7*c - 54. Solve c*f - 3 + 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - 2*b + 18*b)*(-2*b + 2*b + b)*(22 + 7 - 50) as x*b + u*b**2 + t and give u.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 14. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46716017?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 497 = 9. Suppose -2*y - 3 = -3*y. What is the third derivative of -g - y*t**2 + 46 + 16*t**6 wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 983, 2237, 3993, 6251, 9011?\nAnswer: 12273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = g + 3*n, -3*g = -3*n - 3. Suppose 0*y = -g*y + 4. Sort 5, y, -4.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 38*s - 35*s, 0 = -s - 5*x - 5. Factor 0 + 2\/15*f**5 - 2\/5*f**3 + 4\/15*f**2 + 0*f**4 + s*f.\nAnswer: 2*f**2*(f - 1)**2*(f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 82698*s + 496159. Determine k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9930271 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6*f + 18 = 0. What is the units digit of (f*(-4)\/3 - -2) + 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/25 + 52\/(-10). Let i be (12 - 0)\/((-6)\/c). Is 29 + (i\/(-7) - (-2)\/(-7)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(400\/(-8)))\/(3 - 5\/(-4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*o + 1 + 4, 5 = 4*f + 5*o. Let k be (2\/4)\/((-2)\/240). Let g = -40 - k. Solve 4*p + f*p - g = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1250.84 - -9736013\nAnswer: 9737263.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 6)*(2 - 2 + p) + (-4*p - 3*p + 5*p)*(-5 + 0 + 3))*(33*p**2 + 19 - 19) in the form n*p**3 + a + m*p**2 + c*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 1 - 4983*i - 7 - 8 to s + p*i and give p.\nAnswer: -4983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-415317.\nAnswer: -83063.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 2*o**3 - 88 + 192 - 98 - 2*o - 2*o**3 - o**2 as d*o**3 + w*o + a + y*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1563 = 4*h + 2*b - 8065, -4*b + 2421 = h. List the prime factors of h.\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**8\/168 + f**5\/4 - 16*f**2. Find the third derivative of t(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/25)\/(51\/(-34))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169236*j**2 + 12399*j - 22.\nAnswer: -338472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 765, 765, 769, 777, 789?\n\"Answer: 2*t**2 - 6*t + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 4*w + 1. Let f be a(3). What is the closest to -1 in -0.3, -4, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 > -54885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -3179*m**6\/6 - 1304*m**3\/3 + 839. Find the third derivative of i(r) wrt r.\nAnswer: -190740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.02. Let u = -762 - -757.07. Let t = u + a. What is the closest to -0.1 in t, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178861472 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27672083 and 1236.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o + 1. Let f(z) be the second derivative of z**5\/20 + z**3\/3 - z**2\/2 - 485*z - 2. Let x = -9 + 13. What is x*f(b) + 3*c(b)?\nAnswer: b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1226.98 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 + g + 1. Let y be m(-1). Let i be y\/4*102\/85. What is the biggest value in 0.5, -3\/5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l - 8. Let k be ((-2)\/(-5))\/((-2)\/10). Let t be k\/(-4*(-1)\/10). What is the second smallest value in 2, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14185\/9 (b) -0.3 (c) 2\/27 (d) 2\/5 (e) -2 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4614\/(-4)*(-10 + -10). Suppose 49*x - f = 47*x. Suppose 5*n + 5*z + x = 155550, 15 = 5*z. Round n to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 41 = -4*y, 2*q - 12*y - 11 = 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/198*6)\/(-16)*30\/26?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -139*n**2\/8 - 5143903*n\/4 + 74013\/8 = 0.\nAnswer: -74013, 1\/139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -109*u - 95. Let b be i(-7). Suppose 501 + b = 7*h. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97270769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17895964*l + 14717444.\nAnswer: -17895964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 - 21*f**4 - 54*f**3 - 60*f**2 - 24*f.\nAnswer: -3*f*(f + 1)*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y, -4*y + 35 = 3*t + 9. Let i(s) = -1154*s**2 - 532*s**t - 2*s - 15*s**2. Let n be i(-2). Round n to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 25. Suppose y*a - 6 = 19. Let g = -97 - -97. Solve -5*q = -g*q + a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93.17 + 93.27. Which is the nearest to -2\/7? (a) h (b) 2\/13 (c) 0.76 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18568 divided by 785?\nAnswer: 18568\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-6)*(-2)\/(-5). What is the nearest to 0 in 4, v, 1\/4, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99 - 4?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 7*z**4\/12 - 230*z. Let v(h) = 150*h**2 + 1. Calculate v(y(p)).\nAnswer: 7350*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -113*s**4\/2 + 2*s**3\/3 - 2*s + 43. What is the units digit of t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 523658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 4*i. Let z(j) = 11*j**2 + 12*j - 1. Let p(g) = -8*r(g) - 3*z(g). Let w be p(-3). Calculate the highest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxeeueke. Give prob of sequence ue.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 206*f**2 - 5*f + 3 - 249*f**2 + 4*f**3 + 1.\nAnswer: 4*f**3 - 43*f**2 - f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4921.7 years in centuries?\nAnswer: 49.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07924 and -0.1032.\nAnswer: 0.008177568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-40)*1*(-75)\/6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*z. Suppose -2*a = -5*j, 6*a = a - 4*j + 33. Determine u, given that -3*u**4 - u**3 + z*u**3 - u**4 + 4*u**a = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266366 + 64*n + 266366)*(5*n - 4*n - 2*n) + (3 + 2 - 6)*(-2*n**2 - 4*n + 2*n - n**2).\nAnswer: -61*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100\/5177 or -1?\nAnswer: -100\/5177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 20 + 11 + 7*j)*(-87*j - 11*j - 70*j) in the form q*j + m + n*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 4 + (-375)\/(-12). Let j = -31 + w. Which is the third biggest value? (a) j (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*986\/319*66\/24.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -0.7, -1, 0.23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 0.06, 0, -0.09, 18?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-735)\/(-350) - -30 - 1\/410?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085123853 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/(4\/8). Let v(p) = 4*p**2 + 4*p - 7. Let u be v(a). Let j = u - 5. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -157*b**3 - 2*b**2 + 1. Suppose 23*h + 40 = 25*h. What is the remainder when w(-1) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31458 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-28*(-63)\/2940)\/((-48)\/(-10))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/(z\/(z\/(z\/((z*z**34)\/z)))))\/z*z*z*z))**(-2\/49) assuming z is positive.\nAnswer: z**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3891264 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36040770 divided by 2002265.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 46 = -2*t. Calculate the greatest common divisor of t and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13389638 divided by -6694819.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26684568 by -24.\nAnswer: -1111857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r + 482. Is 2 a factor of c(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnldcc. Give prob of sequence lndc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -493\/5. Determine v so that -3\/5*v - 1\/5*v**4 + 3\/5*v**3 - 1\/5*v**2 + s = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927489 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: Calculate the least common multiple of 76622 and 1263.\nAnswer: 229866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -65. What is the closest to 2\/5 in -0.2, -20, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48473.28 rounded to the nearest 100?\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18 and (-5762305)\/58689270 + 4\/102*3.\nAnswer: 7758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87045?\nAnswer: 3, 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154603 (base 8) in base 16?\nAnswer: -4d983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34308 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 2}. Give prob of picking 2 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - 25) + (258 - 264).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + -2 + -1 + 1 + -7 + -33.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324381254 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/12)*b)\/b)\/b**15*b**(3\/5)\/b**(-12))**(-17) assuming b is positive.\nAnswer: b**(1343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o**2 - 591*o - 27643. Let q(f) = 9*f**2 - 588*f - 27644. Let l(c) = 5*q(c) - 4*y(c). Factor l(j).\nAnswer: -3*(j + 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.969 + 13.152. What is x rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 24 = -k, -3*k - 26 = 3*d + 34. Let u(x) be the first derivative of x**2 - 4*x + 3. Let t(h) = -7*h + 15. Calculate k*u(f) - 6*t(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35.0989 + -32649.70942\nAnswer: -32684.80832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:27 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1)*j))**(-17)\/(j**7\/j*j\/(((j**(-1\/16)*j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-385\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -972700 - -972700.1333281. Let a = -194.1347581 + k. Let t = a - -194. What is t rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 88. Let n(j) = 9*j - 175. Give -6*n(a) - 13*v(a).\nAnswer: -2*a - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-1557)\/4152.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272265 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -862, -1558, -2112, -2524, -2794, -2922, -2908?\n\"Answer: 71*i**2 - 909*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 2*c + 2*c + (-2*c + 2*c + 2*c**2)*(0 + 1 - 3) - 3*c**2 + 0*c**2 + 4*c**2 - 72779575*c + 15644*c**2 + 72779575*c.\nAnswer: 15642*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:40 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l**3 + 3*l - 4*l - 3*l + 3*l to x*l + h + n*l**3 + d*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o - 51*o + 22*o + 15*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 15. Let k(w) = -410*w**2. What is k(a(f))?\nAnswer: -410*f**4 - 12300*f**2 - 92250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) -2\/7 (b) 3 (c) 4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -13\/4 (c) -5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3028122476 to the power of 1\/4, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -0.5 (b) 22 (c) 13.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15588 and 14988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 688753928 to the power of 1\/2, to the nearest integer?\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 199662359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826726046.\nAnswer: 2, 61, 6776443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 12*x. Let k be u(10). Suppose 0 = k*g + 23 - 283. Calculate the highest common divisor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + f**4 + 4*f**2 + (-2*f**2 + 0*f + 0*f)*(0*f**2 - 2*f**2 + 0*f**2) + 36*f - 8*f**4 - 36*f.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20062 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.94 take away -0.21?\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -367. Suppose 2*w = -58 + v. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10*b + 3 = -11*b, 4*b - 17 = b + 2*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose -3*w - y*h + 4*h + 75 = 0, -100 = -4*w + 2*h. Suppose -4*q + 5*f + w = 0, 3*f - 60 + 21 = -3*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*v = -112. What is the tens digit of 447\/2 + 21\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 3. Suppose 0*w = 4*p - 3*w - 92, w - 4 = 0. Let r = -4 + p. Calculate the smallest common multiple of r and v(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -24*((-47)\/329)\/(3\/38087)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.99859 + -111. What is i rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Suppose 5*p + 0 = 2*q - 12, 4*p = 4*q - 12. Let l(m) = -4*m**2. Let a = -3 + 4. Give a*z(k) + q*l(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + (1 + sqrt(891))*-4 + 5*sqrt(891)*2)*-6 + 1).\nAnswer: -150 + 1944*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/8 - -59\/40. Let m be (-128)\/20 - (-3)\/((-30)\/(-4)). Which is the closest to g? (a) -4 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, -4, 1 in ascending order.\nAnswer: -4, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/199836 and -107\/339282?\nAnswer: 61749324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -18)*4\/18. Let n be (-2)\/(0\/2 - -1). Put -3, p, n in descending order.\nAnswer: p, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 14*p**2 - 8*p**2 + 9*p**2 + 4*p**2 - 167*p + 1.\nAnswer: 24*p**2 - 167*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 2)*(-2*v**3 + v**3 + 3*v**3).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - (-3 + (15 - 16) + (36 - 39))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -200. Let l = h + 295. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)\/(6\/2583321). Let n = 238893 + d. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose z*f = 2*f + 6. Suppose 0 = d - 2*y + 6, -y = 4*d - 4*y + 9. Solve d = -3*v + f - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:32 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 2*p**4 - 14 + p**2 - 18 as l*p**2 + c*p + s*p**3 + a*p**4 + i and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 6, f: 2, k: 1, g: 6}. Give prob of picking 2 e and 1 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.65 - 71.75. Which is the nearest to s? (a) 0 (b) -11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 9) in base 2?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) 5 (b) 0.01 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yyryyyyyyryyyyryyy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243392?\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1720.8 and -441.3?\nAnswer: 759389.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/11 + 1212*a\/11 - 7930 = 0.\nAnswer: -671, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 34 = -3*n. Let a(w) = -w - 1. Give a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 295*n**2 + 2806*n + 11. What is k(9)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, h: 3, k: 1, o: 2}. What is prob of sequence oh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-1)\/(-2) + 1)\/((-243)\/324)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 66 - 39 + 21*i**2 + 154 - i + 2*i**3 as y*i**3 + q*i + f*i**2 + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19640*l. Let f(r) = -45*r + 3. Give s(f(o)).\nAnswer: 883800*o - 58920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/4 + 15*y**4\/4 - 45*y**3\/2 + 135*y**2\/2 - 50*y + 2. Let t(s) = 0. Calculate s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 411767276?\nAnswer: 411767275.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -1.09. Let g = 0.11 - 3.11. Which is the closest to d? (a) 1\/3 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73.8 + 74. Do -4\/19 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*w**2 - 7*w + 0*w - 265*w**2 - 5 - 10*w in the form b*w + n*w**2 + v and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 5*u**2 - 7*u - 11. Let b be t(-6). Suppose 30 = 5*n - y, 0 = -y - y. Suppose -11*z = -n*z. What is the closest to -1 in b, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -421 - -435 - (-3 + 30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111420105 (base 6) to base 10\nAnswer: 12117641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231857418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -106. What is the lowest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 110, 39 in ascending order.\nAnswer: -2, 39, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/11 - 108*s\/11 - 14742\/11 = 0.\nAnswer: -63, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 5*q + 309310. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + 2) + (-4 + -2*sqrt(7))**2 - (2*sqrt(441))\/sqrt(7).\nAnswer: 11*sqrt(7) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31238508 - -0.21.\nAnswer: -31238507.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5 = -2*q - 3*q, 4*g - 4*q + 12 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i**2 + 26*i**2 + 27*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.01, -0.4, -2.1 in descending order.\nAnswer: 0, -0.01, -0.4, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let r = 3.31 - 0.31. What is the closest to k in 1, -4\/7, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, -4 in decreasing order.\nAnswer: -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (0 + (1 - 1)). Suppose 121 = -19*f + 159. Factor 2\/3 + 0*p**f - 2\/3*p**4 + 4\/3*p - 4\/3*p**j.\nAnswer: -2*(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*130\/(-390).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 134, -58, 9\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z + 233 - 216. Let o(q) = -q**3 + 5*q**2 - 3*q - 5. Let a be o(4). Put 10, a, z in decreasing order.\nAnswer: 10, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*b + 7 = 0, d - 2*d - 2 = 3*b. Let c be (d*(-18)\/(-3))\/2. Sort 0, 4, c in increasing order.\nAnswer: 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6*u**3\/11 - 40596*u**2\/11 + 203106*u\/11 - 162504\/11 = 0?\nAnswer: -6771, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102112110 + 100102?\nAnswer: 102212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4598 - 4598.1. What is the second smallest value in 40, -3, m, 5, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 64 = -4*y, -292*u + 393 = 30*y - 296*u - 87 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let p(o) = -3*o**2 + o + 1. Let t(z) = -p(z) - y(z). Let c be t(-1). Let m = 17 - c. What is the greatest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * 3044734.\nAnswer: -1004762.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 2. Let t(l) = -l + 1. Let o(q) = -5*t(q) - 4*z(q). Let a be o(-5). Let s = -2 - -1. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1154048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51069347*n**2 + 51069347*n**2 - 7*n**3 - 12*n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 2*p - 12 = -21*q, 4*p = -6*q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14013563 (base 7) to base 14\nAnswer: -25ada3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 342, -1\/7, -4.8, 170?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334623 (base 7) to base 14.\nAnswer: 17883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (16 + (-10 - 19)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(91)*5 - sqrt(91)))\/(-1*(sqrt(700) - sqrt(7))*3).\nAnswer: 16*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4012107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -8*i + 1540. Suppose i = -35*z + 39*z. Calculate the greatest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5616 and 225382716?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233799 divided by -50.\nAnswer: -233799\/50","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -1000189\/3 less than -333396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1295?\nAnswer: 6\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 259, 250, 237, 220, 199, 174?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -11. Suppose 0 = -5*s + 4*a - 3*a - 245, d*s - 2*a = -245. Find the common denominator of -1 - (0 - 66\/(-4)) and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11 = -v, 0*v + 2*v - 18 = 4*y. Let a(b) = -b**3 + 8*b**2 - 2*b - 13. Let m be a(v). Let p = m - -113. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 27 + 3*v**3 - 17*v + v**2 - 4*v**2 - 6*v**3 + 4*v**3. Calculate the remainder when p(6) is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313336487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -170, -640, -1558, -3074?\nAnswer: -5338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/10*-2*-11*(-8)\/1848.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 3 - 6*l + 8*l + 5*l.\nAnswer: 7*l + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*j**3*o - 180*j**3 + 2*j**2*l**2*o - j*l**2 - j*o - 19712*l wrt j?\nAnswer: 630*j*o - 1080*j + 4*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-405)\/18)\/15)\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 117. Suppose f = -5*p - 14, 3*f + 4*p + a = 4. Let v be 3\/f - 340\/(-8). Calculate the greatest common divisor of 86 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let p be (144\/(-54))\/((-8)\/9). Suppose 3*v - 19 = 29. Solve a - p = -h, 2*h = -2*a - z*a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712986097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 23613*a - 23611*a + 47224*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 72 = -227. Let r = -15 + z. Suppose 8 + 0 = -2*b + 2*a, 4*a - r = -b. Solve b = -i + 2 - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90430.98 minutes to seconds.\nAnswer: 5425858.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 1:51 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 268464987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -41*p + 24*p - 80 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 1\/3, -0.4, -2\/19 in ascending order.\nAnswer: -0.7, -0.4, -2\/19, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*v + 230, v + 156 = 5*v - 3*p. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/2040*((-30)\/36)\/(-5).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 21162?\nAnswer: 21162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*h = 199*h + y, -2*h - 3*h + 2*h + y = 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20842083 + 1892.\nAnswer: 20843975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 1\/15*f**5 + 0 + 0*f - 1\/6*f**4 - 1\/2*f**3 + 12*f**2. What is the smallest common multiple of 1 and l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*-2*1\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 22605 + 11674 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 67\/7 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 653, 2132, 4613, 8108, 12629, 18188, 24797?\nAnswer: 32468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*2*6)\/(-3*(sqrt(36)\/sqrt(2))\/sqrt(3)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*h - 3489 - 161 = -354*h. Factor -7\/2*d - 1\/2*d**2 - h.\nAnswer: -(d + 2)*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210222 - -7326?\nAnswer: 217548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1944657578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8295 - 1059 = -12*o. Let w = o - -603. Solve w = -z + 1, -3*z + 3 = -b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i**3 + 6*i - 7. Let o(k) = -35*k**3 - 17*k + 20. Calculate -4*o(w) - 11*r(w).\nAnswer: 8*w**3 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 586596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/7, 14, 1\/108, -0.4, -3 in descending order.\nAnswer: 14, 2, 1\/108, -0.4, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4\/7 - 6884*y**3\/7 + 428532*y**2\/7 - 7199068*y\/7 + 12739016\/7 = 0 for y.\nAnswer: 2, 31, 1657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 0, 7\/5 in decreasing order.\nAnswer: 7\/5, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + 5*(-5*(sqrt(209) - sqrt(209)*3))\/sqrt(11) + 3.\nAnswer: 1 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4682 divided by -7\nAnswer: -4682\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 155156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -2*b**5 - 10*b + 8. What is the first derivative of g(p) wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**9*m)\/m)\/(m**(-1)\/m))**(-3\/38)*(m**(-1\/3)\/m**(-1\/3))**18 assuming m is positive.\nAnswer: m**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 4*n. Let v be f(5). Let z = -12 - -8. Let l = z - -7. Solve -l*c + 4 = -v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 931\/35 - ((-504)\/60 + 8)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 - 5*m**4\/12 - 4*m. What is the third derivative of v(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*h = -3*i + 100, 4*i - 113 = -5*h. Suppose 0 = -17*d + 2933 + 5465. Let y = d - 490. What is the smallest common multiple of y and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 + 44.124988768.\nAnswer: 164.124988768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/26? (a) 0.1 (b) -38 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-2*-2)\/sqrt(2) + sqrt(14)\/((sqrt(20)*2)\/sqrt(10)) - (6*(sqrt(847)*-1 + sqrt(112) + 0))**2.\nAnswer: -12348 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/60*3\/2. Put -9, 0, b in descending order.\nAnswer: 0, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 divided by -720544?\nAnswer: -1009\/720544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*y - 22*y + 309*y**2 + 52*y in the form k + v*y + o*y**2 and give o.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let f(t) be the second derivative of t**5\/10 + 23*t**4\/12 - 11*t**3\/6 + 15*t**2\/2 + 4*t - 5. Let b be f(-12). Solve r = -b*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/84*(-49)\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, g: 4, h: 6}. Give prob of picking 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from {i: 6, x: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((10\/(-230))\/((-1)\/2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2028 - 4236. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 280805.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11042 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 25110647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c*c**(-12\/7)))\/c)\/c**(-23))\/(c**(5\/7)*c*c**18\/c) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - 15 - -69) + (-5 - -18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 23. Which is greater: w or -7\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/2 + -3. Which is greater: -1.5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -93.7, -137 in descending order.\nAnswer: 0.13, -93.7, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1562\/82 + 2136\/(-82) + 26. What is the closest to 0 in 0.5, -35, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, m: 2, j: 1, f: 1, v: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/305)\/(8\/90).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/108 + 17*a**3\/54 + 5*a**2\/3 + 1084*a. Factor v(s).\nAnswer: (s + 2)*(s + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957094 is divided by 20820?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5600 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 62*s - 26*s - 3 to c*s + i and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 + 2 = 5*j, -3*j = -5*s + 11. Suppose -o - l = -454, -j*o + 446 + 934 = -3*l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338543 and 7?\nAnswer: 2369801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -467, -559, -665, -791, -943, -1127?\n\"Answer: -c**3 - c**2 - 82*c - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615074268?\nAnswer: 2, 3, 51256189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*m = 24 + 8, 2*m = -8. Let s be 2\/(-25)*(-5)\/((-4)\/4). Which is the second biggest value? (a) 2 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6444, -6443, -6442, -6441, -6440, -6439?\n\"Answer: s - 6445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/720 + f**5\/30 - f**4\/3 - f. Let w(m) be the third derivative of g(m). Give w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w + 0*w**3 - 1\/168*w**8 + 0*w**6 + 1\/12*w**4 - 2\/105*w**7 + 5*w**2 + 1\/15*w**5 + 0. Let n(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i - 1)*(3 - 3 + 5*i) + 361*i**2 + 367*i**2 - 911*i**2 - 3*i**2 + 3*i - 3*i.\nAnswer: -191*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1))\/(1\/(-7)). Suppose 0 = -4*b - 2 + 10. Suppose -3*w + 9 = 0, 2*g - b*w = -w + u. Solve -3*z + g = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -96. Let i = -30 + w. What is the biggest value in -0.4, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 6*s + 14. What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 18 + 26. What is the third derivative of v*x**3 - 14*x**3 - 2*x**2 - 2*x**2 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -917*v**4 - 152*v + 1838*v**4 - 918*v**4 - 92 - 276*v + 949 wrt v?\nAnswer: 12*v**3 - 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*x - 4*k, 5*k = 2*x + 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((2\/(-4))\/(-1)). Let s(q) = -q**3 + 7*q**2 - 12*q + 12. Let x = 54 - 49. Let i be s(x). Solve j*z + 0 = -8, 3*z - i = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 1, j: 9}. What is prob of sequence jhj?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11589.\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 4*z**2 + z - 1. Suppose 1 = 2*c + 3. Let q be 8\/(-28) + (c - 51\/(-7)). Let r = 10 - q. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/10))**(-2\/83)*y**14*y**(7\/4)\/y assuming y is positive.\nAnswer: y**(24497\/1660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*b = 3*b - 675. Solve 0 = -s - 3, -3*s - 13 + 14 = b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*r - 4*r - 18, -c - 5*r - 15 = 0. Suppose -24 = -2*b + c*q, 3*b = -5*q - 0*q + 11. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 28*n - 21. Is a(18) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + sqrt(1300) + 1*sqrt(1300))*3 - (sqrt(1300)*-1 + -2))**2 - ((sqrt(143) + 1*sqrt(143) - sqrt(143))*-6)\/((2*sqrt(121))\/sqrt(11))) + 4.\nAnswer: 403*sqrt(13) + 130008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-41)\/y)\/y)\/y)**(4\/5)\/(y\/y**(-13)*(y**(-35)\/y*y)\/y) assuming y is positive.\nAnswer: y**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 41*n - 17. Let m be b(-5). What is the greatest common divisor of m and 2583?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/52, -0.3, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 26*i - i + 318 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94373 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 13*j + 6*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/4)*j*j**(-17\/5))\/(j*j**12)**(-7) assuming j is positive.\nAnswer: j**(1797\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*m + 56*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = i - 10 - 21, -5*i - 2*d + 65 = 0. Solve 12*y = y + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21227 - 1?\nAnswer: 21226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20164 divided by -284.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 bigger than 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(5)*-3) + sqrt(2) + sqrt(2)*-2*2 + -5 + sqrt(72) + (sqrt(72) - -3*-1*sqrt(72)) + sqrt(72))*-3 + -3)**2.\nAnswer: 240*sqrt(2) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - m. Suppose 0 = 5*n - 3*v - 13, v + 11 = 4*n - 2*v. Determine x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 2*s**2 + 162*s - 162 = 0. Calculate s.\nAnswer: -9, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 7463 = -518. Let f = q + -332. Solve 4*c = 4*x - c - f, 3*x - 11 = 4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15817 = 3*i - 210725, 5*i - 4*w - 324858 = 0. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160159609 divided by 3.\nAnswer: 160159609\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)\/(b*(b**(-4\/11)\/b)\/b)*(b**(4\/9)\/b)**(-2\/29) assuming b is positive.\nAnswer: b**(-33298\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*d - 38, -3*d = -4*p - d - 68. Let r = p + 27. Calculate the remainder when 32 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-35) + (-3)\/(-5). Let s = 0 - -5. Which is the third biggest value? (a) -0.5 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70109549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1272, 1268, 1262, 1254, 1244?\n\"Answer: -w**2 - w + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r + 44. Let g(v) = -16*v + 77. Let m(y) = -4*g(y) + 7*k(y). Let o(w) = w**2 - 776. Give m(o(s)).\nAnswer: s**2 - 776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-8) + (-8)\/(-32). Suppose -n + k = 4*g, 3*g + 0*g - 1 = 4*n. Calculate the remainder when 5 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f + 3. Let w be k(3). Suppose w*r + 29 = 83. Solve -2*a + r = -5*n, -3*a - 4*n = -2*n - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*c**5 - c**2 + 24*c?\nAnswer: -5220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 9, j: 2}. What is prob of picking 1 j, 1 r, and 1 e?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13442, -26890, -40348, -53822, -67318, -80842, -94400?\nAnswer: -107998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6 = -6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 - 3 = -2*u, -2*r + 12 = -2*u. Suppose 4*o = 2*s - 18 + 4, -3*o = -3*s + 18. Sort u, o, 2.\nAnswer: u, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*q - 26*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47946364577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469963 is divided by 58676.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/1369145, -0.3, 5, 6, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -160. Suppose 7*c - 5*c = -5*r + 544, y*r = 3*c - 797. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + 0.07. Let g = 0.16 - i. Let z = -0.4 + -0.6. Which is the closest to 0? (a) -0.2 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9811567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -36\/19 (b) -0.164 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z + 2*z)*(-2*z + 1 - 1)*(-41*z**2 + 12*z**2 - 7*z**2) + (-3*z + 6*z + 0*z)*(4*z**4 - 2*z**4 - 3*z**4).\nAnswer: 141*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/412841 and -54\/55.\nAnswer: 2064205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**4\/6 - 2*z + 1. Let b(y) = -299*y. Let h(c) = c. Let a(j) = b(j) - 4*h(j). Give n(a(d)).\nAnswer: -183618*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36119)\/252833*(42\/11)\/(-2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-23)\/138)\/(2\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*h**2 + 9\/7*h - 3\/7*h**4 - 9\/7*h**3 + 6\/7 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33120323 (base 4) to base 3\nAnswer: -10012110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 3. Let q(i) = i. Let u(y) = -p(y) + 3*q(y). Let o(r) = 2*r + 9. Let w(c) = -2*o(c) + 6*u(c). Let d(v) = v**2 + 50. Give d(w(n)).\nAnswer: 4*n**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b**2\/3 + 158195*b\/3 - 15066 = 0. What is b?\nAnswer: 2\/7, 22599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -1.68?\nAnswer: -0.1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + n**3 + 2*n**4 + 2*n**2 + 0*n - 3*n + 3*n in the form l*n**4 + y*n**3 + a*n + u*n**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -434 + 435.2. Is c at least 0.153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -6.6. Let x = 2.4 + h. Which is the smallest value? (a) x (b) 0.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*q**2 + 5*q**2 - 18*q**2 + 8*q**2 + 17*q**4 wrt q.\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 14*a = 0. Let k = 2 + -12. Let u be k\/8*1 - -1. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:23 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -59, -21, 19, 61, 105?\n\"Answer: a**2 + 33*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2. Let f(q) = -q**2 - 25252*q - 2. Give f(z(a)).\nAnswer: -49*a**4 - 176764*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 9340324 and 9340363 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(40)\/(sqrt(48)\/sqrt(588)))\/(4*sqrt(1152)))*-3)**2.\nAnswer: 21*sqrt(5)\/4 + 147701\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/20 (b) 7289 (c) -0.1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2549 - 1549. Suppose 10*f - c = -549. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 88909 + 2335. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/120 - a**5\/15 - 5*a**4\/24 - a**3\/3 - 16*a**2 - 9*a. Calculate j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1547100 divided by -515700.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278268, 2, 0.5, -5 in increasing order.\nAnswer: -5, 0.5, 2, 278268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -a - 2*l, -38*a - 5*l = -43*a - 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 12372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:16 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -24*j**3 + 16*j**2 - 16*j - 16. Let h(m) = -558*m**2 - 16*m + 1. Let q be h(-1). Let x = q + 557. Let y(w) = w**3 - w**2 + w + 1. Give x*y(f) + i(f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*p - p - 1520 = 0, -3*d = -p - 902. Calculate the greatest common divisor of 39 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 854, 848, 848, 860, 890, 944, 1028, 1148?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110000101100000 - -11?\nAnswer: 101110000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*5\/(-2)*(-10 - -12). What is the closest to -1 in 1\/2, 2\/5, -3, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 88 (b) 90 (c) 3 (d) -0.099 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -32574997.9.\nAnswer: 97724993.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1048510 = s, -109*p - 2*s + 349487 = -108*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:46 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olvovvllilml. What is prob of sequence imvl?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1298, -2604, -3924, -5264, -6630, -8028?\n\"Answer: -i**3 - i**2 - 1296*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14608082347 minus 0.2?\nAnswer: -14608082347.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 197, 74, -49, -172?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -3*l**5\/20 + 7*l**4\/2 - 11*l - 1. Solve c(b) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12682768, -25365540, -38048312, -50731084, -63413856, -76096628?\n\"Answer: -12682772*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 4*y - p + 3486, -4100 = 5*y + 5*p. Let u = -492 - y. List the prime factors of u.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:47 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*j - 47, 16022*d - 6*j + 64 = 16023*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 114. Let z = 62 + -21. Let v = -25 + z. Calculate the remainder when t is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 4*c + 2. Let n be g(2). Let b be (-7 - -9) + 0 + n. Solve 5*r - b*r + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490823 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36. Suppose -7*o = -g*o - 1043. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930*h*k**3 - h*k**2 + 54*h + 2*k**3 + 3*k - 2 wrt k.\nAnswer: 5580*h*k - 2*h + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 1. Suppose -i = -2*x + 6, i + x - 4 = 2*i. Let p be c(i). Suppose -p - 1 = -s. Solve -s*y = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426483.6m to nanometers.\nAnswer: 426483600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-58) + (37\/(-148))\/(609\/168252).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -624 = -623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*k**2 + 201*k**2 - 712*k**3.\nAnswer: -712*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1011604 - 1?\nAnswer: 1011603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.22 + 83.22. Which is the closest to 0? (a) p (b) 1 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74212?\nAnswer: 2, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 27. Suppose 3*j - 480 = -j. Calculate the common denominator of -95\/6 and f\/j*225\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23219 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Let l(q) be the second derivative of -q**5\/20 + q**4\/4 + q**3\/2 + 3*q**2\/2 - 422*q. Give l(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29175420 to the nearest integer?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/4 of a decade?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - 3*w + 5. Let d be (3\/(-2))\/((-6)\/16). Let m be o(d). Suppose 0*g = g + 5, 2*b + m = -5*g. Put -3, 1, b in ascending order.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.00085 + -8. Round o to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183657.\nAnswer: 3, 29, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07702 times 0.1?\nAnswer: 0.107702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3*f**2 + 0*f**2 + (-3*f + f + 0*f)*(-5*f - 3*f + 3*f)*(1 - 2 - 1) - 12*f**2 + 4*f**2 + 12*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -155?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 170 = -14*l. Solve 2*m = -4*y + l, -27 = 2*y - 6*y - 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u - 2*u**4 - 54*u - 5*u - 18*u - 1 + 2*u**2 - 19*u as k*u**2 + a*u + f*u**4 + d*u**3 + h and give a.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 338.5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17787*b**3 - 2757857025*b**2 + 71632641*b - 465147.\nAnswer: 3*(b - 155049)*(77*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n + 24. Suppose -5*o + 2*f = -80, 4*o + n*f - 23 = 18. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = t - 0*g - 9, 5 = 5*t + 2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43242483*u**3 + 11968342*u**3 - 15783360*u**3.\nAnswer: -47057501*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 275806\nAnswer: -27580.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.55 - -6.55. Let l = -14.9 + -0.1. Let d = n - l. Put -10, d, -0.3 in increasing order.\nAnswer: -10, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.02475289 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = 26 - 74. Which is the closest to 1? (a) p (b) -6.8 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzolxzr. What is prob of picking 1 l, 1 x, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2 + 1 - r**2 + 4*r + 1. Let a be j(5). What is the remainder when a*1*220\/(-4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**21\/(f**(2\/165)\/f))**(-43))**(11\/7))**(-17) assuming f is positive.\nAnswer: f**(2652068\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 5*o - 11 = 0, -4*o - 8 = -40*n + 38*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -3 - -3)\/1. Suppose -30 = -i*q - 5*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 5. Let x be (-1)\/(11\/(-2)) - (-2912)\/(-2464). Let f(j) = -1. Calculate x*c(k) - 4*f(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4289219?\nAnswer: 11, 17, 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9023 times 0.2?\nAnswer: -1804.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)*(-14 + 14). Solve -2*n = -0*m + 3*m + 20, i = -3*n - m - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 2*a + 20. Is 26 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let h(v) be the first derivative of -v**4\/3 + 2*v**3\/3 + 71*v**2 + 205. Let a(m) be the second derivative of h(m). Calculate r(a(g)).\nAnswer: 64*g**2 - 64*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*h + 6, -3*h = -2*a - 6*h + 1. What is the third derivative of -2*m**a - 3*m**3 + m - m + m**2 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 3, h: 3, a: 7}. Give prob of sequence hhih.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, -14, -3, -510.\nAnswer: -510, -20, -14, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or -622049?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 3*sqrt(3) + -3)**2 - (sqrt(3) + sqrt(21)\/sqrt(7) + -4).\nAnswer: -26*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 31*w**2 - 19*w + 16. Let n be (30\/(-25))\/((-6)\/140). Is t(n) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**4 - 19*d**4 + 6*d**4 + (36 + 3*d**3 - 36)*(3 - 3 - 2*d) as f*d**4 + m*d + a + l*d**2 + u*d**3 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let k = 6 + m. Let g = 5 + -5.2. Which is the second biggest value? (a) -5 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/166 - -341\/1494. Let y be (-5)\/7 - (-1)\/(21\/6). Which is the smallest value? (a) d (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594828 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6 - 42. Let q = n + 18. What is the derivative of 3*s**2 + q*s**2 - s**2 + 3 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, w: 5, x: 4}. What is prob of sequence ww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:10 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74809?\nAnswer: 7, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 - ((-1 - 1) + -19). Suppose 18*o = 13*o + u. Suppose 2*a - 4*a + 15 = -3*j, 0 = 3*a - 2*j - 10. Solve -o*h = -a*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 16 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/12*(-60)\/250. Let k = -0.08 - -5.08. Let v = k + -5.4. Which is the nearest to s? (a) 3\/5 (b) v (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -108255 and 7.\nAnswer: -108248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60877869?\nAnswer: 3, 13, 89, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*n + 6*n + 21*n.\nAnswer: -207*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7180 is divided by 509?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdd when three letters picked without replacement from gdegevivvvdiere.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1717 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 divided by -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 2)*(0*o - 4*o + 3*o) + 2*o - 2*o + 3*o)*(-3*o + 0*o + 2*o) to the form c + n*o + z*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-3) - (-9 + 6). Let p = r - 1. Suppose 2*a - 3*a = p. Solve a = -2*j - 2*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22*x**2 + 122*x - 189. Give f(5).\nAnswer: 971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5\/4, -3 in increasing order.\nAnswer: -4, -3, -5\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = -4*y. Let c be 0*y\/(1 + 11). Let m be (-3)\/3*(c + 1). Let s(w) = 4*w**2 + 2*w + 1. What is s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 223.\nAnswer: 222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 6*p**3 - p**3 + p + 4*p**3 to the form b*p + v*p**3 + u + z*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(448) + sqrt(448))*2 - (sqrt(448) - (sqrt(448) + 0 + sqrt(448) + -3)))**2 + 3.\nAnswer: -400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3092 + -2897 + 2 + -100\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 28*a**2 - a + 1. What is the tens digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*z**3 - 8 + 2*z**2 + 21 - 14 + (-4*z + 0*z + 2*z)*(2*z**2 + 0*z**2 - z**2).\nAnswer: -46*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 10\/9, 1\/7, -116?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 495? (a) 0.5 (b) 12.85 (c) 4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, u: 1, y: 5}. What is prob of sequence vvo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.6 and 0.1?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*j**4 + 6553*j**3 - j**2 + 727*j - 501 wrt j?\nAnswer: -708*j**2 + 39318*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 16.036484\nAnswer: -16.036484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -65 (b) -51 (c) 146 (d) 5 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227708005 to the nearest integer?\nAnswer: 15090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-29 - -18) + 1 + 2 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.5 (c) -1\/9 (d) -1.71 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 42.8, 1\/8?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 - 16*w**2 - w. Let m(d) = 5*d**3 - 32*d**2 - 2*d. Calculate 7*b(p) - 4*m(p).\nAnswer: p**3 + 16*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/15 - 2608*r\/5 + 7822\/15 = 0. Calculate r.\nAnswer: 1, 3911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-20798.75.\nAnswer: 8319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0836907 rounded to four decimal places?\nAnswer: 0.0837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.9 - -136.1. Let j = -160 + k. Let n = 0 + -0.5. What is the second smallest value in 2\/3, -5, n, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-7)*j**(-4\/7))\/(j**1*(j**(-2\/7)*j)\/j) assuming j is positive.\nAnswer: j**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24 + -14)*1\/(-2). Solve b = -3*j - 0 + f, 5*j - 17 = 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 + 8*z + 11 - 19.\nAnswer: 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5672 divided by 1418?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2936157540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -14, 1421, 1 in decreasing order.\nAnswer: 1421, 1, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(1\/(-2))\/(-1). Suppose 3*y + g = 4*y + 3*x, -16 = 4*x. Suppose -5*j = c - 6, c - 6 = -j - 0. Calculate the remainder when y is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {d: 2, v: 1, n: 3, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1756 and 1062262183.\nAnswer: 1062263939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -114, -170, -226, -282?\n\"Answer: -56*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22994 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -32*j**4 + 54*j**2 + 2*j - 177. What is the second derivative of p(y) wrt y?\nAnswer: -768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:07 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 1. Let g(a) = -a**3 + 7*a**2 - a - 4. Let t be g(7). Let l(k) = k**3 + 10*k**2 - 9*k + 24. Let u be l(t). Which is bigger: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 2*c + 10 - 5*c**2 + 2*c - 4*c - c**3. What is the remainder when m(-5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -27 - 21. Suppose 0 = -2*y - v + 68. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 15. Suppose 180 = -2*k + s*k. Suppose 0 = z + 1, i = -3*i - 4*z + k. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.41 + -45.91. Which is the smallest value? (a) -1\/2 (b) -16 (c) u (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkn when three letters picked without replacement from nnnnknkkkknwwn?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -19. Suppose 6*n - q*n = 12. Let h be (-26)\/6 + (-2)\/3. Sort h, 1, n.\nAnswer: h, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-2)\/(-12)*1275\/(-10). Suppose -y*h = -88*h - 1089. Is h bigger than -363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -37*a**4\/2 - a**3\/3 + a**2\/2 - 3*a - 1686. Find the third derivative of l(r) wrt r.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 22\/10)*(-10)\/3. Let g(d) be the second derivative of 0*d**2 - 1\/6*d**m + 0 + 3*d - 1\/3*d**3. What is the second derivative of g(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byozbymzpzb. Give prob of picking 1 m, 1 p, and 2 y.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-6)\/(sqrt(24) + sqrt(216)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcommzacazmbczm. What is prob of picking 2 c and 1 z?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*t + 13*t - 38*t)*(2 - 2 + 2)*(-111 - 13 + 41) as a*t + p and give a.\nAnswer: 5976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0, -134, 8, 12, 0.12 in increasing order.\nAnswer: -134, -5, 0, 0.12, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -222111210000122011?\nAnswer: -222111210000122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 5*q + 7. Let d be z(6). Let s(f) = 2*f + 1. Let b be s(0). Solve -a + b = -d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(343) - (2*sqrt(343) + 2)) + -4 + 1)**2.\nAnswer: 28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 = -13. Suppose 143 = 4*r + m, -2*r + m = p*m - 73. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 31.5. Let u = 14.8 - 16. Let f = j - u. What is the nearest to -0.1 in -1, -1\/7, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 4:12 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/59484275 and -28\/11896855.\nAnswer: 59484275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 7 = -y, 55 = 2*y - d + 59 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1087029*i - 17392454. Calculate k(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 1. Let b(v) = -4*v + 12. Give b(n) + 6*w(n).\nAnswer: 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8003 - 8001. Put m, 1, -1 in ascending order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/1)\/(-1))\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199831.1 - -199831. Let j = -5.8 - 1.2. Which is the third smallest value? (a) g (b) -1\/4 (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(363)*1*-1 - (sqrt(363) + sqrt(363) + -2 + sqrt(363) + 2)))**2*-1.\nAnswer: -92928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9*v = -12*v + 946, 5*v + 970 = 5*j. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-624) + (-5)\/(-40) - (1210\/(-26) - -5).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2*b**6\/3 - b**3 - 7. What is the third derivative of c(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*c**5 - 14*c + c**2 - 4*c**5 + 14*c - 13*c**5 + 93*c**5 - 155*c**5 + (-3 + c**3 + 3)*(c**2 + 3 - 3).\nAnswer: -75*c**5 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/(-20)*2\/3. Solve v + 5 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*c**3*p - 1905*c**3 - 211*c**2 + 1358*c*p**2 + c*p - 5*c - 17*p**2 wrt p?\nAnswer: 23*c**3 + 2716*c*p + c - 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(40\/(-15))*1\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1067664 and 14160.\nAnswer: 5338320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39122704807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*g**3 - 1)*(27*g - 4 - 44*g + 1 + 92*g).\nAnswer: -300*g**4 + 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.67*636.\nAnswer: 1062.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.96 + -47. Suppose 17 = j + 4*o, -o = -3*j + 4*o + 85. Let r = j - 77\/3. What is the closest to r in z, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 5\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8420, 4, -2\/3, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8. Let v = j + 1. Let n be 2 + 2 + 25\/(-5). Which is the second biggest value? (a) n (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 75. Let r = t - -22. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*d**6 + d**4 + 390*d**2 wrt d?\nAnswer: -4200*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:59 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 18*s**2 + 2*s + 50. Calculate the remainder when ((-327)\/2)\/(24\/(-16)) is divided by c(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249506?\nAnswer: 2, 13, 124981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdt when three letters picked without replacement from {d: 3, t: 3, q: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*d - 14097 = -189*d + 513*d + 3417 for d.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 5*x**2 + 5*x - 13. Determine c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h + 11 - 14*h - 13. Give p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1191, 1211, 1231, 1251, 1271?\n\"Answer: 20*s + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44857603 + -27201603. What is j rounded to the nearest one hundred thousand?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17901 times -3\nAnswer: 53703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:45 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m - 2*k, 0*k = k + 4. Let n(g) be the third derivative of g**5\/60 + g**4\/8 - 2*g**2. Let u be n(-3). Solve u = m*p - 0 - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 20416018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 90. Suppose -384819*f + 384727*f = -276. Sort t, f, 2.\nAnswer: t, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912285 is divided by 32495?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -36. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 2 + (-2)\/1. Let u(v) = -937 + z*v + 902 - 11*v. Let d be u(-6). Let h(m) = -m**3 - m. Calculate h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:05 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 181, 421, 761, 1201?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*18 - -2) + -2. Let i(c) = -c**2 + 1477*c + 14866. Let o be i(-10). Sort o, 5, p.\nAnswer: o, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:08 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 17 + 10*y - 21 + 0*y.\nAnswer: 10*y - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 43*j**3 - 13*j**2 + 12*j + 6. What is d(-4)?\nAnswer: -3002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (1 - 1 - 1)*(6 - 5 + 4) + (4 - 1 - 1)*(4 - 2 + 0) + 1 + 1 - 1)*(-2 + 4*b**4 + 2).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009179?\nAnswer: 3, 1336393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -3*m + 5, -2*m + q + 2 = 0. Solve m = -39*g + 32*g + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1166, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 6.8234699?\nAnswer: -6.8034699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-10))\/(-3))\/(8*45\/36900).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 13. Let w be g(-6). Let a be (2\/8)\/(9336\/2333 - 4). Let i = a + -146. Is i equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17409 divided by -1\nAnswer: -17409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {f: 1, q: 2, v: 2, r: 1, p: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:00 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95104330*z**3 + 231*z**2 - 8*z + 686 wrt z.\nAnswer: -570625980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*x**2 + 400\/13*x + 398\/13.\nAnswer: 2*(x + 1)*(x + 199)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 37. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17885*y**2 - 92428*y**2 - 212165*y**2.\nAnswer: -286708*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 - -440. Suppose 0 = -19*a - p*a - 3042. Is -117 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 2 - 31 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(33*u**2 + 23 - 7 - 12*u**2 + 11*u**2).\nAnswer: 64*u**3 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - (14 - (-10 + 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*w + 160, -34*w = -30*w + h - 164. Calculate the remainder when 136 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546044, 547476, 549862, 553202, 557496, 562744, 568946?\nAnswer: 576102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1034, 1020, 992, 944, 870, 764, 620?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/7 - 7170*n**2\/7 + 14346*n\/7 - 7174\/7 = 0 for n.\nAnswer: -3587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2 = 9*w + 3*b, -w - 7 = -3*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) -0.3 (c) -1\/2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (-837)\/117) + (-6704)\/(-26). Suppose -x*w = -253*w + 5850. What is w rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/2)\/((-4)\/18). Let w = r + -23. Which is bigger: -7\/2 or w?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 7) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 115\/(-8) + 898 + -883\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 37\/2. Let t(n) be the second derivative of 0 + o*n**3 + 0*n**2 + 1\/12*n**4 - n. Find the second derivative of t(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 7*q + 5*q - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 54\/101717?\nAnswer: 54\/101717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28499\/2690 - -3\/538. Find the common denominator of k and 36\/((-2)\/(32\/(-132))).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a)**(-23) assuming a is positive.\nAnswer: a**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/33)\/(41148\/3456) and -39\/1397.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 13. Suppose -r + u = -u + v, -46 = 5*r - 4*u. Let p be (-4)\/r*(1 + 4). Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 438? (a) -1581 (b) 0.1 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 0.4 (c) 1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448912, -448918, -448924, -448930, -448936?\nAnswer: -448942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 0, 10*o - 163 = -3*a + 5*o. What is the least common multiple of 45 and a?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 - 1506 = -3*w + 4*m, 5*w + 4*m = 3118. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*w**3 + 2341*w**2 + 53*w - 151784434 wrt w.\nAnswer: 93*w**2 + 4682*w + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 + 2 + 36\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2154.92 + -2155. What is the third smallest value in -3, -6, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - 60\/(-27). Let y(p) = -3*p**2 + p. What is y(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18963 - 8017. Let d = k - 11286.53. Let n = d + 339. What is n rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1770 - 32?\nAnswer: -1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -18*j - 10. Let k be (j\/6)\/(((-6)\/(-45))\/(-2)). Solve 5 = -3*x - 0*z - 4*z, 3*z = k*x - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 - 9*o + 8. Let b be s(8). Suppose 5 + 7 = -3*f. Let d = 3 + f. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -18243069*k**2. Let m(o) = -o. What is m(d(a))?\nAnswer: 18243069*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (-12)\/(-9). Let g be (2 + -1)\/(m\/4). What is the first derivative of -g*l**4 + 3*l**4 + 9*l**3 - 9*l**3 + 4 wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 x when three letters picked without replacement from {f: 3, v: 3, x: 1, g: 2, m: 9}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34)\/(-204))\/(8\/(-30))*5\/40 and (-50)\/(-210)*91\/12.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3241 is divided by 508.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**2 - 19*k**3 - 4 + 18*k**3 - 4*k - 7 - 17*k. Let z be g(11). Solve -m = p - z*m + 6, -p - 18 = 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:13 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 85. Let r(q) = 102 - 44 - c*q - 49. Let z(v) = 5*v - 5. What is 3*r(l) + 5*z(l)?\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -32113011?\nAnswer: 32113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 3*r**3 - 2*r**3 + (0*r**2 - 3*r**2 + 5*r**2)*(-r + 0*r - r + (-r + 2*r - 2*r)*(4 - 6 + 3)) to v*r + n + p*r**2 + a*r**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*l - 8, -2*c + 7*l - 2*l - 19 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728375 and 37?\nAnswer: 63949875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = z + 12, 2*o + o - 32 = -5*z. Suppose -k + 195 = 5*u + 3*k, 3*u - 149 = o*k. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 24994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4635388.\nAnswer: 2, 1158847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w - 15*w**2 - 25*w)*(-32*w + 7*w**3 + 32*w) - w**5 + 3*w**5 + 0*w**5.\nAnswer: -103*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1558\/4779 or 1?\nAnswer: 1558\/4779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42981718709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 14*b - 6*b. Suppose 5*n - 5 - b = -5*z, 28 = 5*z + 4*n. Suppose -z*a + 6*a - 4*y = 334, 3*a + 5*y = 501. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -49*d**2 + 25*d + 26. Let h be r(-18). What is h rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11933.\nAnswer: 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -61, -108, -157, -202?\n\"Answer: r**3 - 10*r**2 - 16*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 + 201 + 585 + 226 + 4*n**2.\nAnswer: 4*n**2 + 1544","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 0 + 0*d - 1. Let g be n(-3). Suppose -g*l = -4*p + 20, 4*p - 4*l = 33 - 9. Solve -2*o = -p*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -0.21. Let t = 2 - 5. Which is the nearest to 0? (a) t (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22421580 divided by -30?\nAnswer: -747386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(208))**2.\nAnswer: 40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:47 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 0*o + 6 + o**2 - o**3 - 4 - 7*o**2. Calculate the least common multiple of z(-6) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*602)\/(164\/(-3)) - (-616)\/((-3864)\/(-69))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1010100011011?\nAnswer: 1010100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = -15. Let g(c) = -c**2 - 16*c - 16. Let a be g(v). What is the nearest to a in -6, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + w. Let x(l) = 15*l**2 - l + 1. Let b(j) = 2*m(j) + x(j). Calculate b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1 + 3*o - 8 - 36 + 5*o. Let c be b(6). Solve 7 = -4*n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/7 - 156*o**2\/7 - 96*o - 688\/7.\nAnswer: 4*(o - 43)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h*s*u**2 - 3*h*s*u - 3*h*u**3 - 177572*h*u**2 - 7091924*s*u**3 wrt u.\nAnswer: -18*h - 42551544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419224125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 1:56 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 5:25 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283435673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -2.99. What is the second biggest value in 2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Suppose -2*o + 3*y + 19 = 0, 2*y - 28 = -4*o + s*y. Let f be ((-30)\/9)\/2 + o. Which is the biggest value? (a) -5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 9, -27 = q + 4*q + 4*u. Let j(d) = -59823*d**2 - 2*d + 1. Let v be j(q). Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 324*y**2 - 27 - 625*y**2 + 17 + 2*y**4 + 311*y**2 - 6*y to h + c*y**2 + m*y + v*y**3 + l*y**4 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19295 and 545?\nAnswer: 2103155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*k + k, 2*k - 16 = 3*b. Let r = -49254.7 - -49255.7. What is the closest to r in -0.5, -3\/5, b, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7104 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 + 11 - 10*h**2 + 10 - 29 wrt h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50949\/(-119) + 3\/21. Is 22\/(-8)*(u - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqnnzq. Give prob of picking 1 d and 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*f - 4788 = 73*f - 3*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*(-3*sqrt(700) + 5))**2 + -2.\nAnswer: -2700*sqrt(7) + 56923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + 3)**2 - (sqrt(3) + 1 + -2)**2.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 9*y + 258. Solve 0 = -y*d + 47 - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -636 + 694. Solve 62*v - 8 = x*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + 5*z. Let c be y(5). Let b be -3 + c + 1 + (-239733 - 3). Let q = -96738 - b. Round q to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035601 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 58, -6, -2\/7, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/115)\/((-6)\/(-20))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 1278 + 3023 = -73393. List the prime factors of v.\nAnswer: 2, 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -0.038 in decreasing order.\nAnswer: 2, 0.1, -0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/6 (c) 1\/2 (d) -696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44470.6 days in seconds?\nAnswer: 3842259840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10379 + 23422. Is 112 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n, 0*n + n + 1 = 3*o. Solve -r + o*r - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963525 and 265350?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 + 104?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**2 - 165*j + 310 = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2981*z + 10018. Let q(y) = 2*y. Give q(j(x)).\nAnswer: 5962*x + 20036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -22\/7, 4, 0.5, 9, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from amommmcmoammmmom.\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 63896 + 10855. Suppose -7*l - a = 25833. Round l to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19111 (base 12) in base 11?\nAnswer: 25422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006346245044 to six dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose 0 = -4*q - j*k - 27 - 1, -4*q + 2*k - 4 = 0. Let x be 3\/((-1)\/(7\/q)). What is the highest common factor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 208. Let r = 70 - w. Let g = 14.9999989 + r. Round g to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:34 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 + 4*t**2 - 4*t + 4. Let c(n) = 9*n**3 + 11*n**2 - 11*n + 11. Let o = 20 - 18. Let s be 8 - 1*(-1 - o). Give s*p(d) - 4*c(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1257\/143 - -95\/11. What is the fourth smallest value in -3, -0.5, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6029 + -0.2029. What is the nearest to 2\/23 in 3, i, 4, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291483.3 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2106 is divided by 750.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1377 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -97 - 227. Suppose 0 - 15 = -5*m + 5*r, 4*m + r = 17. Suppose m*h - s = h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + p + p + 22, 3 = y - 5*p. Suppose -3*w - 2*f = -12, 3*w - y*w - 5*f = -25. Factor -4 - h**2 + 3*h**2 + h**w + h**3.\nAnswer: (h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 20*o + 53. Let c be f(-17). Let k(u) be the third derivative of 0*u**4 + 1\/120*u**6 + 0 + 0*u**5 + 0*u + u**c + 2\/3*u**3. Give k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -2*n. Let g = n + -6. Suppose -g = q - 4*h - 0, -3*q + 24 = -3*h. Solve q = 4*d - 2*f, 0*d + 3 = -5*d - 2*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muhuumuummuuumumu. Give prob of sequence mh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -570, -3512, -10702, -24012, -45314, -76480, -119382?\n\"Answer: -312*j**3 - 252*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 399\/(-95))*5\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1364 by -17364.\nAnswer: -341\/4341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -131. Let k = 24 + y. Let s = k - -66. What is the remainder when 105 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Let j = -0.01 + 0.07. Let n be (20\/30)\/((-16)\/6). What is the second biggest value in h, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(110))\/(sqrt(250)*-1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 7. Suppose 17*g - 60 = 2*g. Let a be d(g). Solve -4 = -3*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**6 + 3*j**4 - 140*j**3 - 2*j**2 + 6*j - 1130 wrt j.\nAnswer: 1680*j**3 + 72*j - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d1f5 - -60?\nAnswer: -1d195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3688*g + 90 = 3698*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.198 - -11.84.\nAnswer: 12.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 + 112*z**2 + 1386*z + 2340 = 0.\nAnswer: -39, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 1936?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 13817.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(448) + (0 + sqrt(7))*4 + 3 + 5*(sqrt(7) + (sqrt(700) + sqrt(700)*-1 - sqrt(700)) + sqrt(700) + 1))**2.\nAnswer: 1020*sqrt(7) + 6369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 - 147. Solve 0 = 4*c - 2*c + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413855 or 413587?\nAnswer: 413587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -2.9 (c) 5 (d) 0.2 (e) -891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 801*w**2\/4 + 4705*w\/4 - 3399\/2 = 0. Calculate w.\nAnswer: -206, 11\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112017 and 224034.\nAnswer: 224034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.669 + -0.269. Let y = -2 - 7. Is y at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 2.19. Let f = 554.29 - 554.39. Suppose z = -3*z + 8. What is the nearest to z in s, 3, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/80*12*1*14\/((-56)\/20)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2\/2 - 7*t + 17. Let g be u(7). Let f = 23 + g. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011111111000011000111 (base 2) in base 12?\nAnswer: 2559547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*u**2 - 327*u**2 - 326*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 5*r - 64. Suppose -4*b - r*n + 100 = -0*n, -b + 30 = 2*n. Suppose 2*k - 408 + b = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 42 (b) 0.1 (c) 2 (d) -2\/5 (e) 69.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let p(h) be the third derivative of -5*h**4\/24 + 4*h**2. Determine x(p(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 151 = -2*m + 5*m, -2*m - 3*o + 88 = 0. Let w(c) = 7*c**2 - 6*c + 3. Let d be w(2). Let f = m - d. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let t(z) = 7*z. Determine 5*n(j) + t(j).\nAnswer: 7*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5968, -6089, -6210?\nAnswer: -6331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 + 2*z**2 - z. Let j = 2 + 1. Suppose 20 = c + j*c. Let p = 5 + -3. Let n(g) = 7*g**3 - 5*g**2 + 2*g. Calculate c*d(f) + p*n(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1917 = -34*a + 7*a. Suppose 7*q + 1 - a = 0. Calculate the remainder when 67 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/36 and (-6)\/(-10) + (-24574)\/(-7260) - 2?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*m**4 + 13894*m**3 + 25313865.\nAnswer: -96*m**3 + 41682*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 10959756 = -59295756. Round n to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 781352\/63 + -12403. Find the common denominator of 163\/66 and h.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 403, 908, 1615, 2524?\nAnswer: 3635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 12. Let c(b) = 7*b + 3*b**3 + 3 - 11 - 7*b**2 - 5*b**3 + 3*b**3. Calculate c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*v + 248 - 920 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48\/11, 10, -133799, 5?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 1. Let r be 15\/(-13) + (-22)\/(-143). Let p(j) = -7*j**2 + 6. Let m(c) = r*p(c) - 6*d(c). Let o(u) = -u**2. Determine o(m(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.03055. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2 - 214. Let n(m) = -2*m**2 - 2*m - 71. Calculate -8*n(q) + 3*x(q).\nAnswer: q**2 + 16*q - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 558 + -15061\/27. Let f = -17\/189 + g. Suppose 3 + 7 = 5*o. Which is the closest to 0? (a) f (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -165, -1 in decreasing order.\nAnswer: 52, -1, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -871, -875, -881, -889, -899, -911?\n\"Answer: -w**2 - w - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24277 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -33?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2540, 2, 9, -3, -3.97?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 131061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82a327 (base 13) in base 5?\nAnswer: 1240044401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 25. Let s(u) = -1. What is -25*s(z) - t(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 7*v**2 + 3*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-15 - -17)) + 25\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:05 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = b + 3, 3*b - 188*s = -191*s - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 344*s + 342*s - 46 = -t, 10 = -t - 2*s for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56\/19563 - -49434581\/391260. Let o = 126 - m. Find the common denominator of o and ((-53)\/(-5))\/(6\/15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 41\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4546 divided by 4?\nAnswer: -2273\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 254458369.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and 69\/139401284.\nAnswer: 1254611556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53, -41.4, -5, -1, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3936 and 143\/1676244.\nAnswer: 13409952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:08 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -643, -957, -1271, -1585, -1899?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 6*d - 145\/2*d**2 - 47\/3*d**3 - 3. Differentiate v(w) wrt w.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17222, -17427, -17634, -17843, -18054, -18267, -18482?\nAnswer: -18699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2839500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -8. Let c(t) = t**2 - 11*t + 15. Let m = -13198 - -13204. Calculate the lowest common multiple of m and c(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let r = 3.96 - 4. Let y = 1.96 - r. Which is the third biggest value? (a) y (b) k (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**3 + 141*f**2 - 47*f + 39. Is z(27) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15 and -69548.\nAnswer: -69547.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (10 + -13 + (-4 - -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340716 is divided by 410?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02026 plus -319?\nAnswer: -318.97974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3\/33973, 1, -0.4.\nAnswer: -0.4, -3\/33973, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1503512 (base 6) to base 16\nAnswer: 15164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/6 + 31*t + 79. Let u(h) be the first derivative of q(h). Let g(a) = -3*a**2 - 13. Give g(u(k)).\nAnswer: -3*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from zkzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 675 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = -50 - 273 - 41 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -20. Let v = -31 - g. What is the common denominator of -7\/16 and (-4)\/v*(-40)\/24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 l when three letters picked without replacement from pzpsnsplxplzssslzp?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 407946 divided by -29139\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070.3344 rounded to the nearest 10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + (-1902 - -1907)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 - 2*o**2)*(-o + 3 - 3) + (o**3 + 3*o**3 - 2*o**3)*(8 - 3 + 36).\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 71\/5 of a microsecond?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 234 = -26. Let q = 54 + d. Find the second derivative of -53*b**q + b + 53*b**2 - 16*b**3 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 m when four letters picked without replacement from {n: 2, i: 1, e: 1, m: 6, c: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 35. Let r(f) = 31450*f**2. Determine s(r(j)).\nAnswer: 1978205000*j**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l - 16*l + 57 - 12*l + 26*l. Calculate p(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 5 - 5 - 3 + 3 - z + (-1 + 6 - 4)*(2*z - 2 + 2) - 135*z + 86*z + 62*z in the form q + l*z and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19503, 1, -20, 4, 6 in increasing order.\nAnswer: -20, 1, 4, 6, 19503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 87*u**2 - 1647*u - 22. What is i(103)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804 and 12114940?\nAnswer: 36344820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 473422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*k = 0, -20*n = -19*n - 4*k + 6. Let z = 1.4 - 1. What is the biggest value in -2, n, z, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(4 + (sqrt(98) - (sqrt(98) + -2)) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -558*l**3 + 8*l. Let y(p) = 1673*p**3 - 22*p. Give -11*t(n) - 4*y(n).\nAnswer: -554*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 6*r - 2. Let p(m) = 2*m**2 + 9*m - 4. Let q(t) = -t + 1. Let k(d) = -p(d) - 5*q(d). Give -8*k(h) + 5*w(h).\nAnswer: h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5310, -10482, -15654, -20826, -25998?\nAnswer: -31170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*-5*(-5)\/25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 18, 111, 296, 603?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than 0.319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c4 + 134ea?\nAnswer: 13426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -37*v + 43*v - 13*v. Let i(n) = -4*n**2. Give o(i(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -23629607 to the nearest ten thousand.\nAnswer: -23630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 493 = -466 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3910.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from svvxvvs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, t: 5, s: 1, p: 6}. What is prob of picking 2 p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 + j - 3. Let i be m(4). Let v be -93*(-2 - i\/9). Is (v\/(-2))\/(3\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*q**2 + 11*q**3 - 16*q**2)*(q + q + 0*q)*(-4 - 11 + 7) in the form i*q**3 + s*q**2 + y + n*q**4 + c*q and give n.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -382266, -2, 4 in decreasing order.\nAnswer: 4, -2, -4, -382266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 3*j**2 + 3*j + 1 - 4. Let c(r) = -2*r**2 + 54*r + 3778. Let u be c(59). What is s(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649698*i + 34*i**3 + 649698*i.\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 783759134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvvvvvxvxxxx. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18817 is divided by 2687.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 22. Let x = -8 - m. Let d = 0 - 1. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - (-2 + 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 17*d**3\/6 + 2*d**2 + 22*d - 4. Let g(u) = 42*u + 10. What is -5*g(n) + 12*j(n)?\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/90*(-1 + 6\/18)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-14)*16*227\/2. Let f = 2665 + n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 8*a + 34. Suppose 8 = 2*t + 4. Suppose 5*b = p + 11, t*p + a = -4*b - 2. Does p = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 15*x**2 - x + 16. Let k be m(15). Is 3 a factor of 78\/9*(6 + -1 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 45*h - 43*h, 3*h + 27 = 4*s. Solve 2*v - 5*v - i + 6 = 0, 0 = -s*v - 3*i + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-6.3118\nAnswer: 0.31559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1791539*b**3*x + 5*b**2*x + 3*b**2 + 20112*x wrt b?\nAnswer: 10749234*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10002 + 64?\nAnswer: -6605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*t + 5266, 5*r + 6*t - 4*t = 13144. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1569 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 32*i + 41. Let v be p(-9). Let h(j) = 5*j**2 + 11*j - 10. Let g(d) = d**2 + 2*d - 2. What is v*h(c) + 22*g(c)?\nAnswer: 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185421*f**5 - f**4 + f**3 - 6946*f - 393 wrt f.\nAnswer: -3708420*f**3 - 12*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.2 + -9. Let u = 4.8 + p. Let i = -1109\/3857 - -1\/551. Which is the biggest value? (a) i (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 294092? (a) -2 (b) 22 (c) -3 (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335496 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18807000 rounded to the nearest one hundred thousand?\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -216 + 90. Calculate the remainder when (-3)\/(-9)*(-8964)\/(-12) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -428 - -425. What is the second biggest value in -0.03, s, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 - (-16)\/5. Suppose -4*y = -5*i + 52, 5*i - 5*y + v*y - 46 = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 - 5*h**2 - 4*h + 323*h**3 + 14*h**2 - 315*h**3 to the form r*h**4 + o*h + w + f*h**2 + i*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 138*g - 552. Let t be b(4). Solve o + 0 - 3 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*f**3 + 967*f**3 + 979*f**3 - 2738*f**3.\nAnswer: 167*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 5*o + 5. Suppose -38 = 4*m + a - 6*a, 4*a = -m + 1. What is x(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181.43 - 183. What is k rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - 2*q**4 + 5*q**4 + (0 - q**4 + 0)*(-3 - 2 + 3) + (-q**3 + 6*q**3 + q**3)*(0 - 3*q + 0).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 131*w - 11 = -135*w, -3*w = -2*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645930928 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*h = 0, 3*i = -i - 4*h + 24. Suppose -i*v = 2*v - 20. What is the third derivative of -4*n**3 - 2*n**2 - v*n**2 + n**2 + 2*n**2 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 21 + 5 + -5 + 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 92563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -174d9 (base 15) to base 12\nAnswer: -37736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1220 divide 381362666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/4)\/(9933\/(-36894)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 16. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95071?\nAnswer: 95071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 482 + 373 - 855 + 2207*r + (0*r + 3*r - 4*r)*(-1 + 4 - 2) - 2*r + 3*r + r.\nAnswer: 2208*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*i**3 + 0 - 1\/2*i**2 + 0*i + 1\/2*i**4 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9456.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*6\/(-36)*(-6)\/(-20)*24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927 rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 9*x**2 - 12*x + 22. Is z(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253257024 divided by 63314256?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -58?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p - 33 + 33)*(2*p - 2*p**3 - 2*p)*(4*p + 7*p + 4*p).\nAnswer: 420*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11698310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -84 + (8 - (3 + 12)). Let v(a) = -234*a**3 - 91*a. Let c(t) = 13*t**3 + 5*t. Give w*c(u) - 5*v(u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t + 26. Suppose 2*k - 6 + 46 = 0. Let l be p(k). What is the remainder when (l\/(-5))\/(36\/90) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78579119 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 o be (-1 - -6 - -1) + -11. Let k = -13195\/4 - -36361\/12. Let c = 265 + k. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 40, 35, 68, 151, 296, 515?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -0.14. Let w = -0.18 - g. Let m = -0.2 - -0.1. What is the third smallest value in w, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*k + 66*k + 74*k = -4*j - 54, 0 = -3*j - 29*k - 0*k - 71 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let u = -75 + 68. Let n = o - u. What is the third smallest value in n, -5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 4*b**3 + 3*b**3 + (-b - b + 6*b)*(2*b**2 - 2*b**2 + 12*b**2).\nAnswer: 45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*a + 6 = -153*a. Let h be ((-3)\/9)\/(3\/a). Factor h*d**2 + 0 - 2\/9*d.\nAnswer: 2*d*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*k = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*b - 10*b**2 + 463*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 623971451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express -267*v**2 - 172*v**2 - 655*v**2 + (-1 - 2*v + 1)*(-3*v - 2*v + 6*v) in the form u*v + b*v**2 + s and give b.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18320246*d**4 - 10690739 wrt d.\nAnswer: -73280984*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/2*(47 + -1044). Do d and -333 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222002122 (base 3) in base 7?\nAnswer: 106316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 + 442 = -4*j, -4*p - 16 = 4*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59*q**2 + 3*q**3 + 62*q + 67*q - 4*q**2 + 77*q**2.\nAnswer: 3*q*(q + 1)*(q + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**2 + 5*j**2 - 7*j**2)*(0*j**2 - 2*j**2 + 0*j**2) + 5*j**4 + j**4 - 4*j**4 in the form b*j**3 + t + c*j**2 + h*j**4 + r*j and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 3*m. Let y be i(2). Let r(o) = 0 + o**3 + 17 - 4*o + 0*o + 13*o**2 + o**2. What is the units digit of r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 - 216*d**2 + 948*d + 1160 = 0. What is d?\nAnswer: -58, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + 4*t**2 + 2*t**2 + (-2*t + 0*t - t)*(-2*t + 5 - 5))*(-4 + t + 5 + 0) as i*t**3 + y*t + u*t**2 + r and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54898019, -109796035, -164694051, -219592067, -274490083?\n\"Answer: -54898016*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + k + 2. Let i be p(-3). Let j be 15\/(-9)*2\/i. Let n = 0.6 - 0.2. Which is the nearest to j? (a) 5 (b) 1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 + 1675665*a - 85471920 = 0.\nAnswer: -335184, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101.84 - 4\nAnswer: -105.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -26. Let n = 21 + g. Solve n*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 26, 3 in decreasing order.\nAnswer: 26, 11, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(24\/9)*(-8)\/6. Let m be (n*2\/(-20))\/(13\/26). Which is the second biggest value? (a) -1\/3 (b) m (c) -3\/4 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 53356495 and -1261.\nAnswer: 53355234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -203 and 3091250.4.\nAnswer: 3091047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:52 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 76086460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.31736 and -0.04.\nAnswer: -0.35736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7304773 to the nearest integer?\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.072*0.241.\nAnswer: 0.017352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 15*h**2 - 34*h + 1. What is the tens digit of m(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10666 + -9831. Solve -919 + w = -14*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/x**(-21)))**(-4\/7)*(x\/(x*x**(5\/4)))**(-30) assuming x is positive.\nAnswer: x**(677\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 36 = -6. Let y(r) = 6 - 6*r - r**2 - 4*r + 3*r. What is the remainder when y(-6) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/12)\/((-40)\/32)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25708872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81175 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: Let k(a) = -36*a. Let v(l) = -l**2 + 13*l + 549. Calculate k(v(p)).\nAnswer: 36*p**2 - 468*p - 19764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)*x)**26*(x\/x**(-1\/3)*x)\/x**(3\/7) assuming x is positive.\nAnswer: x**(2122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 310520 (base 6) to base 8\nAnswer: 60360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 4:53 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 1263.\nAnswer: 11367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*y - 648*y + 41535 = -285*y + 278*y for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51828 is divided by 48919?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372 - 378. Is (-65842)\/n - 64\/96 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37562862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + 3) - (0 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**3 - 6*g - 3\/10*g**6 + 0*g**4 + 1\/14*g**7 + 3\/10*g**5 + 0*g**2 + 0. Determine f so that h(f) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*c**4 - 116*c?\nAnswer: 936*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 528\/(-24) + (607005\/(-588))\/(-47)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*6\/20*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -119*n**2 - 17*n + 34. Let g(i) = -20*i**2 - 3*i + 6. Let s(a) = 17*g(a) - 3*x(a). Let b(y) = 7*y**2. Give s(b(f)).\nAnswer: 833*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**3 + 2*u**2 - 1. Let j(r) = -r**3 + 13*r**2 - 22*r + 2. Suppose 0 = h - 1 - 10. Let m be j(h). What are the prime factors of f(m)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 96. What is the remainder when 125 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + h + 39549999 = 0, 5*r - 824*h + 98875001 = -823*h. Round r to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 40. Let c(n) = n**3 - 12*n**2 - 12*n - 8. Let h be c(t). Solve a + 16 = 5*a, -9 = h*f + 4*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 18 + 24 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v + 1, 217 = -2*s + 3*v. Let n = -82 - s. Calculate the remainder when 37 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 204821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnznnnnbnntnnnczbn. What is prob of sequence nz?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q - 21. Let j = 13 + -10. Suppose -3*u = -4*u - 2*k + 7, -5*u - j*k = -14. What is the smallest common multiple of u and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebr when three letters picked without replacement from {p: 8, b: 1, r: 1, e: 8}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -47, 2 in descending order.\nAnswer: 14, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 18 - 2)*(-3*k**4 - k**4 + 5*k**4 + (-2*k**3 + 2*k**3 + 2*k**3)*(k - 2 + 2) - 2*k**2 - 5 + 10 - k**3 + k**4 + 2).\nAnswer: 16*k**4 - 4*k**3 - 8*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1492 + -880. Let y = -4013\/18662 - -1\/1333. What is the common denominator of 330\/j + (-1)\/3 and y?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 10251?\nAnswer: -10255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*m**4 - 2\/5*m**2 + 4\/5*m + 0 - 4\/5*m**3.\nAnswer: 2*m*(m - 2)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.8258 + 10.8. Round d to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3 + 40566*t**2 - 137173920*t + 274185600 = 0.\nAnswer: 2, 6760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 126 + 3*p - 70.\nAnswer: p + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 694538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10491 - -10481. Let j(l) = 16*l + 150. What is j(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.71 - -0.29. What is the nearest to -2 in s, 2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**4 + 2*s**3 + 3*s**2 + 2*s. Let p(o) = -15*o**4 + 7*o**3 + 8*o**2 + 7*o. Let j(n) = 7*g(n) - 2*p(n). Find the third derivative of j(f) wrt f.\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2813? (a) -0.5 (b) 19 (c) 11 (d) 3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 147, -92, -2, 0.1, 381, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 202*q. Suppose -4*l = l - 5. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-4))\/(((-18)\/10)\/((-93)\/(-155))).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2654 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -13. Let a = k + 91. Calculate the lowest common multiple of 9 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 37.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118443.2 kilograms in micrograms?\nAnswer: 118443200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, 2, -189 in decreasing order.\nAnswer: 2, -189, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5.66. Round q to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -1382, -2068, -2750, -3428, -4102, -4772?\nAnswer: -5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 6. Suppose 5*r - 453 - 76 = -19. What is the lowest common multiple of c and r?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 11943?\nAnswer: 35829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*-3 - -3. Suppose 0*t = 2*t. Differentiate -m*d + 2*d**3 + 5*d + t + 2 with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/34, 3007, -0.2 in descending order.\nAnswer: 3007, -1\/34, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:56 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 149)\/(((-40257)\/142)\/189).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4)*(2*z - 5*z - z + (-1 + 2 - 2)*(-3*z + 0*z + z) + 209*z - 225*z - 362*z)*(-5*z + 4*z + 4*z) to the form p*z**2 + w*z + t and give p.\nAnswer: -4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**4 - 3*y**3 - y**2 - y. Let k(r) = -3*r**5 - r**4 - r**3 - 6*r**2 - 8*r. Let l(o) = k(o) - p(o). Find the third derivative of l(i) wrt i.\nAnswer: -180*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 4 + 4)*(-482 + 482 - 162*m**2).\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75285*y**3 + 5947521*y**2 + 37944114*y + 3024 = 0. What is y?\nAnswer: -72, -7, -2\/25095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*g)*(4*g**4 - 13*g**4 + 12*g**4 - 6) - 3*g**5 - 5*g**5 - 7*g**5 + (g - g - g**3)*(-3*g**2 + 3*g**2 - 2*g**2).\nAnswer: -22*g**5 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 + k + 1. Let g(t) = -16*t**3 - 3*t**2 - 2*t + 2. Determine -2*c(z) + g(z).\nAnswer: -14*z**3 - z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4)\/(12\/(-504)*35*44\/110)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/120 - z**4\/48 + 4*z**2. Factor m(x).\nAnswer: x*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -37*u**2 - 6*u + 6. Let d(n) = 32*n**2 + 5*n - 5. Let l(i) = 6*d(i) + 5*x(i). Let m(s) = 15*s - 1. What is l(m(r))?\nAnswer: 1575*r**2 - 210*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61240961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99b2 (base 15) to base 13.\nAnswer: -11a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 98. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*125\/(-150).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232988 times 0.4?\nAnswer: 93195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1388 or -1389?\nAnswer: -1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-14))\/(1\/(-14)). Let s = 5 + a. Find the common denominator of 8\/3 and s\/(-8) + 133\/(-140).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*z - 23 - 32 + 55 in the form v + t*z and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -73.\nAnswer: 131.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*m**(3\/10))\/m*m*m*m**(-3\/2))\/(m**(13\/3)\/((m**(2\/25)\/m)\/m)) assuming m is positive.\nAnswer: m**(-259\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -5. Suppose d*u - 2*q = -7*q + 517, -5*u + 4*q = -911. What are the prime factors of u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Let n(h) be the first derivative of 0 + 24*h**d - 25*h**3 + 1. Let b(i) = -2*i**2. What is b(n(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n - 1. Let x be p(-6). Let w = 20 - 10. Suppose -w = -5*j + 5. Which is bigger: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 - 89. Differentiate 787*u**2 + m + 0*u**4 - 795*u**2 + 8 - 4*u**4 wrt u.\nAnswer: -16*u**3 - 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1321609 + 1321609 + 2*v. Let k(y) = 3931*y**2. Calculate a(k(u)).\nAnswer: 7862*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.934534 to two decimal places.\nAnswer: 2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 7346.47\nAnswer: 7346.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16887744760\/6189 - -2728671. What is the common denominator of -39\/10 and y?\nAnswer: 61890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -113. Solve -3*i = -4 + k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c + 59. Let d(n) = -3*n - 29. Let z(u) = -13*d(u) - 6*o(u). Let f be z(7). What is the greatest common factor of f and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 17*r + 25. What is the units digit of o(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23245094, 23245081, 23245066, 23245049, 23245030?\n\"Answer: -a**2 - 10*a + 23245105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11 + (-2 - -17 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 - -172. Let a(z) = 4*z**2 + 4*z + 3. Let g(j) = j**2 + j. Calculate o*a(w) - 2*g(w).\nAnswer: 2*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295007 is divided by 219?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 448460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 25*l**2 - 88*l - 84.\nAnswer: -(l + 2)**2*(l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 49*m + 426 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6280 by 2576.\nAnswer: -785\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82 - -81)\/((-2)\/30*110\/(-154))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 1\/5 - 1. Which is the closest to 0.3? (a) -1 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 156 - 19*l + 4*l - l + 7*l.\nAnswer: -3*l + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1596 divided by -266\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 4664?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 477*o - 437*o. Solve -o*f + 3*q + 16 = 0, -9*f + 5*f - q = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 0.57\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*g + 19. Let r = -15 - 0. What is the remainder when 354\/5 + (-3)\/r is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/8 + (-5 - -4)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 51. Let z = -9 + 12. Suppose -z*h - 120 = -7*h. What is the remainder when h is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172.58 - 4.42. Let g = -175 - z. What is the second biggest value in -123, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728368544 and 36320.\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3760 + -3732. Sort u, -4, 26, 5 in descending order.\nAnswer: u, 26, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61273952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z - 357. Let n be q(28). Let r(d) = -d**2 - 23*d + 5. What is the remainder when 126 is divided by r(n)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340538129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1698 or 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 134?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 9. Let x be b(-6). Suppose -o + x = -0*o, -2*o = -2*s. Let a = 8 + -8. Solve a = 3*d - s - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -566 - -12?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n)*(-n + 2*n + 0*n) - 4*n**2 + 2*n**2 + 0*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 2 in descending order.\nAnswer: 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24680.291 from 0.1112.\nAnswer: -24680.1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {a: 2, b: 1, o: 2, v: 1, i: 1, w: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*s + 2*s = 36, 4*z - 135 = 5*s. Suppose -z*r = -18*r - 1392. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and 6.2.\nAnswer: 235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -184, -68?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*a + 30520 - 4199, a - 8770 = -4*l. Let j = a - 87667\/10. What is the common denominator of j and -103\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.728 rounded to 0 decimal places?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/40 and 19\/935?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 17*l**2 + 6*l + 13. Let z be c(-17). Let r = 210 - z. What are the prime factors of r?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -61. Let g(x) = 25*x - 9*x - z*x. Let b(h) = 0*h + 4*h - 2*h. Calculate b(g(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfox when four letters picked without replacement from rooofxoxooooo?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, -3*k + 5*k - 5*m = 918. Suppose 0 = -5*j + k - 99. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t = 71*t - 35. Suppose -6*f - 79 = -t*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6636 - -4d04?\nAnswer: b53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 404427\/8351 - (-49)\/(-1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -1, -2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v + 1977. Let k(w) = -16*w + 2975. Give 7*j(p) - 5*k(p).\nAnswer: 3*p - 1036","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 857 and 367212502.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, -11870, 5, -0.02, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/15 - y**4\/3 + y**3 + y**2. Suppose -100*v + 443 + 157 = 0. Let i(p) = p**2 + p - 1. Calculate v*i(o) + x(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(4\/27)*((y\/(y**8*y))\/y)\/y**(1\/6) assuming y is positive.\nAnswer: y**(-2491\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.6 or 3.5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.41592868 - 2.416. Round w to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:04 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85573 is divided by 37777?\nAnswer: 10019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11832127 at least -11832128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.8 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*128\/(-1440)*-9\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20159 is divided by 6692?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, z: 8, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let u be t(0). Let q(c) = -c**2 + 2*c - 3 + 11*c**2 + 2. Does 11 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -33*p - 54 + 169 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-5) - 1)\/(-1). Let b(y) be the first derivative of 0*y**2 + 0*y - 3 + 1\/6*y**3 - 1\/16*y**j. Factor b(v).\nAnswer: -v**2*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2 + -1 - 0) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**3 - 2*d**2 - 4*d + 5. Determine j(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 12\/7 - 5\/7. Suppose w - 19 = -n, 76 = 9*n - 5*n - w. Sort 0, n, g in descending order.\nAnswer: n, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 276166?\nAnswer: -1\/276166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i - 46*i = -2*p + 56, -45 = -5*p + 3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 3 (c) -2 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497463912 divided by -714747.\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 55*c**2 + 268*c**2.\nAnswer: 338*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j. Let f(c) = -4*c + 8. Let a be f(2). Let u be b(a). Suppose 4*o = -5*d + 32, 3*d - 17 + 5 = u. Solve -20 = t + o*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8559056 meters in nanometers?\nAnswer: 855905600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242172 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and -3919421320043.\nAnswer: -3919421320042.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2 + 0\/(-3). What is the third derivative of -4*n**2 + 7*n**u + n**2 - 3*n**3 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17.5. Which is the closest to -1? (a) -3\/7 (b) d (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:55 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = u, 0 = -8*b + 4*b + 4*u. Let o be ((-12)\/(-90)*3)\/((-2)\/(-20)). Determine i so that b*i + 0 - 4\/3*i**2 + 0*i**3 + 13*i**o + 35\/3*i**5 = 0.\nAnswer: -1, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xexexxexxeexxx?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaggggazzgggaaggzg. Give prob of sequence ggga.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 + -142. Suppose s*c - 4*o = 998, c - 5*o = -0*c + 511. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 174626.8 decades?\nAnswer: 17462.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 26 + 212 = -3*a, -a = -j + 69. Let r = a + 71. Let b be (5\/(-2))\/(2\/(-44)). Calculate the highest common divisor of r and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 - ((5 - 27) + 5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -360, -635, -908, -1179?\n\"Answer: t**2 - 278*t - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -35. Is -1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/157 - 13451\/3140. Calculate the common denominator of j and 1078\/(-416) - 192\/(-1248).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*n = 2*z + 268*n - 39, -4*z + 193 = -17*n for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -212.4 times 0.03\nAnswer: -6.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + (1 + sqrt(208) - sqrt(208)) + -5 + sqrt(208) + sqrt(208) + -2)**2 - (sqrt(208)*-2*2 + -1 + 4)**2).\nAnswer: -14880 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - z + 7 = -3, -z + 7 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403\/10 - 398\/15. Let n = -1037\/15 - y. What is the common denominator of 26 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 17*o**4\/12 - 19*o**3\/6 - 13*o**2. What is the derivative of v(j) wrt j?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 2*y**2 - 166744 + 83370 + 83374.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 7}. What is prob of picking 1 u and 2 n?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**3 - 4*q**2 + 4*q - 5. Let z(l) = -l**3 + l**2 + l + 1. Let a(h) = -856*h - 15407. Let w be a(-18). What is w*u(y) + 4*z(y)?\nAnswer: 2*y**3 + 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -154, -511, -1056, -1789?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2860)\/176 + 3\/2 + (6 - 75\/12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 93 + 93.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 55. Suppose -11*z + p*z + 9 = 0. Let s(u) be the third derivative of -u**4\/12 - u**3\/3 - 3*u**2. Calculate s(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 12*q + q + q - 129*q**2.\nAnswer: -129*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 2*y**2 + 0*y**2 - 2*y**2 + 0 + 0 + (-3*y - y + 3*y)*(2*y - 6*y - 4*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39149.697 rounded to the nearest ten?\nAnswer: 39150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084690 - 1084690 + 35*a**2.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s**2 + s - 1. Let f(p) = 2*p**3 + 2*p**2 - 3*p + 3. Let y be 2\/(-4) + 14\/4. Determine y*l(q) + f(q).\nAnswer: -q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + d + 3*d = -56 + 9, 620*d = 2*l + 603*d - 130 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14) + (-19 - -114) + -34?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/31 - 28\/93. Let s(v) = -v**3 - 5*v**2 - 5*v + 2. Let i be s(-4). Let p = -6 + i. Are p and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7427c (base 15) to base 8.\nAnswer: -1317472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 18\/565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/2 - -161\/330. Find the common denominator of 65\/12 and g.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*r + 9, -r - 21 = -a + 4*r. Suppose 11*u = a*u + 160. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3233, 6467, 9701, 12935?\n\"Answer: 3234*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1 - (3 - 1955)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1 (c) -2\/5 (d) -12 (e) -1.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 0.4 (c) 411129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 = -5. Let d = 4 + i. Let u = -2 - -4. What is the remainder when d is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19546 is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:56 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23221 or 23246?\nAnswer: 23246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 168. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.288511mm to kilometers.\nAnswer: 0.000007288511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdb when three letters picked without replacement from {d: 1, b: 2, x: 5, f: 1, p: 6}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*w + 4, w - 2*v + 12 = -7*v. Let z = 46 - 14. Calculate the highest common divisor of w and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, 1, 5 in descending order.\nAnswer: 5, 1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/6 + 13*f**3\/6 - f**2\/2 + 11*f. Let u be x(-7). Differentiate -2*l**3 + 9 + 9 - 25 + u*l**3 with respect to l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407814 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.25 - -12.95. Let o = -0.269 - 0.031. Let d = 0.1 + -0.2. What is the closest to o in a, 0.01, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1*5)\/(((sqrt(84)*2 - sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23473824 and 924?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -106*n + 91. Let m(s) = 52*s - 46. Let b(c) = 3*f(c) + 5*m(c). Is b(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 48*h**2 - 435 + 597 + 13*h**2.\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 13. Let g be f(-5). Suppose -k - g = -t, -20*t + 17*t - 5*k + 5 = 0. Solve t*b - c = -29, 0 = b + 2*b - c + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 - 23*x**2 + 67*x - 37. Let j(t) = t - 26. Let y be j(23). Let f(n) = -5*n**3 + 11*n**2 - 34*n + 19. Let z(i) = y*w(i) - 5*f(i). Factor z(q).\nAnswer: (q - 1)**2*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -7562362\nAnswer: -2\/3781181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) 1\/13619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1347*b**2 - 2*b - 1. Let s(g) = -4042*g**2 - 7*g - 4. Determine 2*s(n) - 7*u(n).\nAnswer: 1345*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**4*a*a*a**7*a assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10731, 15187, 19643, 24099?\n\"Answer: 4456*t + 6275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4504418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*i - 9. Let v(z) = 14249*z**3 + 2*z**2 + z - 2. Let q be v(i). Round q to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 258 = 3*r. Suppose t = 16 + r. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 6*w)*(-78 + 426 + 81).\nAnswer: -1287*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000390476158 to seven dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 13 + 27 = 0. Suppose -44*m + 39*m = t. Let f be 6\/m + (-475)\/76. Let b(p) = -p + 7. Calculate b(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1443 - 1443.4. Which is the closest to 0? (a) -1 (b) -2\/7 (c) k (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/48)\/(8\/(-32))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2493 divide 274509070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779653661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8456.519 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 4.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -873, -237, 4 in descending order.\nAnswer: 4, -237, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 10*k - 9*k - 33*k - 18*k.\nAnswer: -2*k**2 - 50*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/1592166 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/1416*((-26)\/273)\/(5\/(-70)). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/63 + 1)\/(19\/(-171)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 1, k: 1, f: 2}. Give prob of sequence bkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -605653 greater than or equal to -605752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12417042733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19*n**2 + 3*n - 11. Let o(y) = 37*y**2 + 7*y - 21. Suppose -6*x = -44 + 2. Let h(z) = x*b(z) - 3*o(z). Find the first derivative of h(q) wrt q.\nAnswer: 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7353, 30280, 68445, 121854, 190513, 274428?\n\"Answer: n**3 + 7613*n**2 + 81*n - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796197*p - 796192*p + 65 = 4*s, 5*p - s = -50 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 2*k - 1. Let r be j(2). Let o = -0.3 + 0. Let p be (4\/(-42))\/(1\/3). Which is the closest to -1? (a) r (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 42*v**2 + 80*v - 16. Determine s(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {i: 3, j: 3, u: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/(4\/(-126)). Suppose -2*c + 29 = -5*m - 17, -c = 2*m + 13. Let u = m + d. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11414949 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2 - 281*i + 145502 = 0?\nAnswer: -547, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Suppose -6*b + 484 = -2*b. Let r(j) = 121 - b - 2*j. Give r(t(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/890 and (-2)\/9 - 2023\/(-13617)?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11488 + -11269. Solve 230*t - 22 = r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/5 - 4*t**3\/5 + 18*t**2\/5 + 4*t\/5 - 16\/5 = 0. Calculate t.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (2 - 2) + 2. Let y be 6\/(-9)*l\/(-2). Let g be (6\/3)\/(-8 - y). Which is the closest to 0.2? (a) g (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, g: 3, k: 2, c: 5}. What is prob of picking 2 c, 1 k, and 1 h?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, -7, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, 155, 239?\n\"Answer: 84*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2 + 11*u + 1. Let w(z) = 2. Let b(g) = g - 3. Let j(p) = -b(p) - 4*w(p). Determine -13*j(h) - 6*v(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/34)\/(3\/(-4)). Let d be 10\/6*(-3 - 0). Let u = -2 - -1.9. What is the closest to u in q, 2\/5, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/296 and 3\/10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 13*y**2 + 14*y + 8. Suppose 22*t = 24*t + 28. Let i be a(t). Let q be (12\/(-9))\/((-1)\/(1*-3)). Sort i, q, 2.\nAnswer: q, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 91925*v**2 + 422464315*v - 422556245.\nAnswer: 5*(v - 1)*(v + 9193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Suppose -15 = -2*q - 5. Let b be (4\/14*-2)\/(-2). What is the third smallest value in x, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g - 61. Let r be (5 - 2 - 19) + 5. Let x be j(r). Suppose 0 = c - x - 65. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(14\/5))**(-6\/13)*((v\/(v**5\/v)*v)\/v)\/((v**(11\/3)*v)\/v))**(9\/2) assuming v is positive.\nAnswer: v**(-2328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-10 - (11 + 6)) + -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 4*t)*(4143*t - 10504*t - 5057*t - 1510*t).\nAnswer: -25856*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s + 143*s + 3879 = 679 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 80 - 9*b - 80. Let q(t) = -t**2. Determine q(m(o)).\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/28 - 17\/308. Put -2, f, 2\/9 in decreasing order.\nAnswer: 2\/9, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -53, 2 in descending order.\nAnswer: 2, -7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2942*u**2 - u + 20867 wrt u.\nAnswer: 5884*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 124 = 4*i + 18, 5*i - 105 = 3*o. What is the least common multiple of 1370 and i?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*v + 266*v + 282*v + 1152 = 760*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 46*r + 728 = 0. Let w = -61 + r. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 481*f\/2 + 188925\/4.\nAnswer: (f - 687)*(f - 275)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/11)\/(672\/(-8712)*-99)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5611432500 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3158.428 microseconds to milliseconds.\nAnswer: 3.158428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1236, 1228, 1214, 1194, 1168, 1136?\n\"Answer: -3*y**2 + y + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**3 + u**2 - 4*u - 2. Let z be v(-3). Suppose 0 = x + 2*j + 43, 5*x + j = 65 - z. What is the units digit of (x\/(-60))\/(1\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 42*k**2 - 30*k + 5. Let u(x) = -20*x**2 + 18*x - 3. Let a(c) = 3*s(c) + 5*u(c). Let z(m) = 13*m. Calculate z(a(i)).\nAnswer: 338*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**5 + 187*i**4 - 20*i**3 - 775*i**2 - 240*i + 108 = 0. Calculate i.\nAnswer: -9, -2, -3\/5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3300?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 4. Let b be i(4). Let u(n) = -n**3 + 4*n**2 + 5*n - 3. Does 11 divide u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -122*n**3 + 8*n**2 + 5*n - 5. Let h(w) = -184*w**3 + 12*w**2 + 7*w - 7. Give -5*h(z) + 7*k(z).\nAnswer: 66*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -11. Let d = 421.7 - 393. Let r = f - d. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606870 divided by 2\nAnswer: -303435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1383.5132 + -1378.3. Let c = j + -5.2. What is c rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -2\/13, 16, 2\/11, 8, -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292160813531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 25412?\nAnswer: -25420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -7876 and -146 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -14. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -14232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 684*n - 665*n - 76. Let c(i) = -7*i**2 + 15*i - 7. What is c(n)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:26 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/21)\/((-1)\/6). Suppose i + 0*i = n. Solve 0 = -u + 3*c + i, 3*u + 4*c = 7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 8, 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61145626819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420015775 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14730 = -j + 31270. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 40 (b) -3\/2 (c) 0.4 (d) -4.22 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12034 and 22.\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-3 - 2 + 3) + (-6 - 1 - 1)*(1 - 1 + 1))*(k - k + 2*k).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1. Let n(u) = 24*u + 32. Let q(h) = -44*h**2 + 130*h + 7. Let y be q(3). Give y*n(c) - 32*v(c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -53*r + 12. Let f be 3\/r*8\/(-2). Let a(u) = -u**2 - 4*u + 12. What is a(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 30*h - 8*h + 26*h - 2*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156777*t**4*u**2 + 71*t**4*u - 42*u**2 + 167214 wrt t?\nAnswer: 627108*t**3*u**2 + 284*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203300 + -32?\nAnswer: -203332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 822558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3240896993?\nAnswer: 3240896993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1*6)\/((sqrt(15)*1)\/sqrt(3)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.04, 2, 0, -17852, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**2 + 195*q + 15. Let j = 50 + -46. Let z(x) = -x**2 - 14*x - 1. Let u(r) = j*m(r) + 55*z(r). What are the prime factors of u(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*l + 6*l, 5*o - 7 = 3*l. Let g be (-115)\/(-20) + -3 + (0 - o). Sort -5, -1, g.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10*q = -318. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -28*a**2 + a. Determine r(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 - 3?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 1443. Let k be o(65). Which is smaller: k or 144?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 4. Let r be c(4). Suppose r*q = 2*q + 24. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005758 rounded to seven dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/25 - 0)\/(8148\/(-210) + 39).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 19*f - 37. Determine g(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 + 1255*v**4\/4 - 103163*v**3 + 2952596*v**2 - 14984208*v - 113861376 = 0. What is v?\nAnswer: -4, 16, 19, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/8))\/(w\/w**(4\/5))*(w**(-1)*w)\/w*w*w\/(w**(-2\/7)*w))**(2\/37) assuming w is positive.\nAnswer: w**(409\/5180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:14 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1))**(-35)*z**(-2\/9)*z*z*z*z\/(((z*z**(-3\/4))\/z)\/z)*(z*z\/((z\/z**(-5))\/z*z*z)*z*z**4*z)\/(z**(2\/7)\/z**(-1\/6)) assuming z is positive.\nAnswer: z**(1531\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/46287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1368, 1299, 1218, 1125?\n\"Answer: -6*r**2 - 51*r + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29547*o**3 - 70*o + 38059. Let p(k) = 1738*k**3 + 4*k - 2240. Let u(y) = -4*a(y) - 70*p(y). Differentiate u(h) with respect to h.\nAnswer: -10416*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {e: 10, o: 4, x: 6}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2*(-3)\/12. Let d = 2 - b. Calculate the common denominator of 3\/10 and d - ((-156)\/(-33) - 3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8792040 <= -8792041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31097847 divided by 2?\nAnswer: 31097847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563839 = -3*j + 2*s - 469491, 0 = -4*j + 3*s - 1377775. What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31d9c (base 14) to base 4.\nAnswer: -131131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 9 = -10*u - 3*d, -5*u + 4*d + 45 = 0. Solve -5*v - 4*c = 32, 3*v + 18 = 7*c - u*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (-11 - (-2 + 7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -7, 2, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 3126312\nAnswer: 562736.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 2. Let r be u(-1). Suppose 27 + 13 = 4*c. What is the smallest common multiple of (-2 + r)*(0 - 2) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -27*d**2 - 30*d - 4. Let n(a) = 23*a**2 + 26*a + 2. Give 5*j(k) + 6*n(k).\nAnswer: 3*k**2 + 6*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*m**5 + 4*m**3 + 0*m**2 - 2*m**4 + 0 + 0*m.\nAnswer: m**3*(m - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 15036*h - 45126.\nAnswer: 2*(h - 3)*(h + 7521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 3*b)*(0 + 7 + 0) - b + b - 2*b + 3*b + 5*b - 4*b + (2 + 0 + 0)*(2 - b - 2) - b + b + b + (2*b - 5*b - 2*b)*(0 + 1 - 3).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -136539, -136541, -136545, -136551, -136559?\n\"Answer: -o**2 + o - 136539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h**1\/h)**(1\/21) assuming h is positive.\nAnswer: h**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 5:31 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - -4) - (7 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637535?\nAnswer: 5, 127507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -333429 = -333429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -68. Sort 3, 7, o in decreasing order.\nAnswer: 7, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -357, -313, -251, -171, -73, 43?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032914 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 601189684 to the power of 1\/2, to the nearest integer?\nAnswer: 24519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/24 - 2*w**3\/3 - 9*w**2. Give t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000554729 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 20, 4*p + 0*p - u = 68. Suppose 16*c - 32 = p. Suppose 46 = 3*z + 13. What is the remainder when z is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24503110 (base 6) to base 15.\nAnswer: 107d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -342\/7 in -1\/3, 490, 0, 0.05?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - 17. Suppose 13 = -j*z + 25. Calculate the highest common factor of 33 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from ttuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -811.\nAnswer: -3\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnpnnnnnpnnnnnnnn. Give prob of picking 4 n.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/8 - (-9 - -4)\/20. Let w(k) be the first derivative of -2 - 3*k - 3\/4*k**4 + 0*k**g + 0*k**2. Find the first derivative of w(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0161 - -8.0161. Which is the nearest to 3? (a) 4\/5 (b) g (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 5. Let c be t(9). Suppose -4*x = -x - c*f - 41, -3*f = 4*x - 63. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times 202?\nAnswer: -9090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:18 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22370590?\nAnswer: 2, 5, 11, 47, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/((o*(o*o*o**19)\/o*o)\/o))))\/(o\/o**(18\/11))*o**(-12)\/((o*o**6)\/o) assuming o is positive.\nAnswer: o**(-411\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvnvunnngngnnvg. Give prob of picking 1 x and 1 n.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 692 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8609 at least as big as -854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19314484911776 + -0.2.\nAnswer: 19314484911775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589648.5 centuries in years?\nAnswer: 58964850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.765576 tonnes?\nAnswer: 2765576000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -315 - -a?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccuncuquffc. What is prob of sequence cqn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*d + 92 - 73, 3*d = 4*u + 23. Solve 0 = -d*x + 4*x - 54 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738235 is divided by 388?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102.142 rounded to the nearest integer?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112110201 - 2111?\nAnswer: -20112120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3*6\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c**2 - 50*c - 796. Let a be l(-12). Do 3404 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 15 = -20*j. Suppose -3*t + 27 = -j. Suppose m + 4*m - 45 = -5*x, 0 = 5*x - t. What is the remainder when 18 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.294, -1\/4, -0.23, 0.5 in decreasing order.\nAnswer: 0.5, -0.23, -1\/4, -0.294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 j when four letters picked without replacement from mjjqqrms?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 1174 = 5*z - 8*x, 5*x = 2*z - 496. What is the highest common divisor of z and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5508, -5588, -5722, -5910?\nAnswer: -6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15*f + 48345 = 0. Is (-12)\/18*f\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 - 386240*y**2 + 1931100*y = 0. Calculate y.\nAnswer: 0, 5, 96555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76173696787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a tonne in kilograms?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45114\/927)\/(8\/(-6)) - (-2)\/4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-49)\/((-42)\/6) - 8. Let s be (-3)\/18 - (n + -2 + 3). Which is the closest to 15? (a) s (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 12*k - 9. What is the units digit of d(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let b(j) = 10*j - 9. Let a(m) = -b(m) + 5*t(m). Give a(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-66) + (-318)\/(-66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11292 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 13467*r**3 + 4*r**5 - 18112*r**2 - 11459*r**3 + 208*r**4 + 26965*r + 9770*r - 7387*r - 13456 = 0. What is r?\nAnswer: -29, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -9 + 0*g**3 + 0*g + 2*g**2 + 0*g**5 + 0*g**6 + 6\/35*g**7 + 37\/24*g**4. Find the second derivative of l(f) wrt f.\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/53))\/(f*f**(-2\/5)))**(-39) assuming f is positive.\nAnswer: f**(-3744\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 29 + 37 = 0. What is the nearest to o in -2, 1, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-662)\/(-94) - (0 + (23 - 24))*-7\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24*l + 649. Let t be f(-6). What is the highest common divisor of 122 and t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 14, 0.08, 1\/4 in descending order.\nAnswer: 14, 1\/2, 1\/4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ies when three letters picked without replacement from sseeeisi?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = v - 16, -2*h = 3*v + 2 + 1. Calculate the least common multiple of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/287 and 25\/63.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 6*k + 4. Let w(c) = 8*c**2 + 12 + 8 - 17*c - 8 - 1. What is 11*f(j) - 4*w(j)?\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/19, 1872, -3\/2, 1.5, 0 in increasing order.\nAnswer: -2, -3\/2, 0, 2\/19, 1.5, 1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 122285514?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/3)*y))**39\/(y**(-2\/5))**(6\/35))**(-7\/8) assuming y is positive.\nAnswer: y**(2263\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-3\/16)\/c)\/c**(-24))**(1\/8))**28)**(-4\/3) assuming c is positive.\nAnswer: c**(-2555\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15bd (base 14) to base 16\nAnswer: f33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 48\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.937853722 rounded to two dps?\nAnswer: 10.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -21. Solve -3*q + 0*q - l = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 150 - 291 = 0. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/(3\/(-219)). Let g = y - -71. What is the units digit of (-3805)\/(-20) - g\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p + 2*p)*((3*p**2 + 2*p**2 - 3*p**2)*(5 - 5 - 2*p**2) - 7*p**4 - 10 + 10).\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 35*w + 1\/6*w**4 - 1 + 11\/3*w**3 + 18*w**2. Determine x, given that k(x) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*26.08.\nAnswer: 78.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/10)\/f)\/(f\/(f\/((f\/((f\/(f\/((f\/f**(-2\/17)*f)\/f*f)*f))\/f))\/f))))\/((f\/f**(-3)*f)\/f**(9\/7)))**(-2\/163) assuming f is positive.\nAnswer: f**(5113\/96985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 15*z + 33. Let b be a(-13). What is the greatest common divisor of b and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -4.\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*40\/(-640)*8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 2 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22501*z**2 + 2617*z**2 - 4 + 4.\nAnswer: 25118*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4830201, 9660326, 14490451?\nAnswer: 19320576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -41*t + 5. Let r(z) = 4*z. What is v(r(b))?\nAnswer: -164*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26008, 26010, 26012, 26014, 26016, 26018?\nAnswer: 26020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585632361 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 14651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*a**2 + 943 + 246*a**2 - 943.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7*n - 2. Let a be r(-6). Let m be 1 - (2 - (2 + 3)). What is the first derivative of -a - 1 - d**3 + m wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*f = -0 + 17, -5*r + f + 127 = 0. Suppose -k - 28 = -2*k. Let m = k - 14. What is the remainder when r is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 18*u + 12. Let b be p(8). Let j be ((-1)\/1 + b)*-1. Let i = j - 28. What is the greatest common factor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 50. Solve 0*x + d = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49158 and 1584.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - 2112?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((sqrt(10) + sqrt(50)\/sqrt(5))*2)\/(-1*sqrt(50)).\nAnswer: -4*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - w + 1. Suppose 5*u + 0*p + 13 = -2*p, 2*p = 2*u - 6. Let j be 3 - 3 - u\/(-1). Let h(f) = f**2 + f. What is j*h(d) - z(d)?\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(20)\/sqrt(5)) - sqrt(5)) + sqrt(5) + (6*(-1 + sqrt(5)) + sqrt(5) - sqrt(5)).\nAnswer: -6 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*y - 176*y - 553*y - 849*y.\nAnswer: -2457*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1906702*s - 1201836 wrt s.\nAnswer: 1906702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -8. Suppose 0*x = -4*w + 5*x, 4*x = -4*w. Suppose y + y + 6 = w. Sort s, y, 5.\nAnswer: y, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10590474*l**5 - 2*l**4 + 2*l**2 + 41495472*l wrt l.\nAnswer: 211809480*l**3 - 24*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3130.999904 - 3131. What is k rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from fhhbbhbsbshsgfbbhbsh?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 2*m + 3*m**2 - 3*m.\nAnswer: 12*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 1 + 7. Which is greater: 3\/28 or b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40502 + 8142 = -1618*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/150 and -83\/21?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 141545.1 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*j - 36, -22*n = -21*n - 3*j + 20. Suppose 0*b - 3*b + 3 = 0. Calculate the remainder when n is divided by 0 + (b - (-2)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/((-522)\/(-261))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (0 - 0))\/(-1). Let o be 108 + z - 1\/1. Suppose j = o - 2. Calculate the greatest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8246 = -1560*r - 13567 + 6213 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005484*r**2 + 2010955*r**2 - 1005808*r**2.\nAnswer: -337*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/5628360 and -13\/310?\nAnswer: 5628360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.307849 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52\/197, 10, 8.\nAnswer: -52\/197, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -710*q + 926. Give u(3).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(450)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136) + 6*(sqrt(136)*-1 + sqrt(136))) - (-1*sqrt(136) - sqrt(136) - sqrt(136))*-5*3)\/((-2*-3*sqrt(88))\/(-3*sqrt(11)*-6)).\nAnswer: -150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -94*v - 60*v + 44*v. Let s(i) = -1320*i. Let t(u) = -25*q(u) + 2*s(u). Let x(n) = 2*n. What is t(x(k))?\nAnswer: 220*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -33988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -56.3. Let r = w - 2.30000036. What is r rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2367184687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -5*j**4\/8 - j**3\/6 + 10*j**2. Calculate l(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.568877ng to grams.\nAnswer: 0.000000007568877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*x, -3*x + 6 = -2*b + 23. Let d(h) = -6*h + b*h + 0*h + 3*h. Let o = -2 - -3. Let m(c) = -1. Determine o*m(g) + d(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -3)*1 + -113. Let i = -75 - p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z**5 - 39*z**4 + 24*z**3 + 78*z**2 - 12*z - 39 = 0. Calculate z.\nAnswer: -13\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d**2 + 2 + (d**2 - 3*d**2 + 4*d**2)*(2 + 1 - 5) - 2*d**2 - 2*d**2 + 2*d**2 - 14*d**2 - 322*d + 322*d)*(-16*d**2 - 17*d**2 - 8*d**2).\nAnswer: 738*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10158052855 - -42983.\nAnswer: -10158009872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -30*g**3 + 5*g**2 + 4*g - 1. Let c be (-14)\/56 + 14\/(-8). Is a(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdttddd. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93043 is divided by 1322?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373715*s**3 + 747394*s**3 - 373949*s**3.\nAnswer: -270*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6851 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24367 - -73100\/3. Which is smaller: 14762 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:26 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-3 - -13) + 135 + -192)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737087534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -406.6 times 0.1\nAnswer: -40.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 - y**3\/6 - 3*y**2 + y. Let p be f(0). Let t(v) = -v**3 - 6*v**2 - 3*v - 5. What is the units digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3, 4, 2, -1.\nAnswer: -3, -1, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/120 + b**4\/8 - 2*b**3 + 7*b**2. Let l(o) be the first derivative of r(o). Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 30. Let p(i) = -i**3 + 8*i**2 - 6*i - 3. Let q be p(7). Let s = -1 + q. Calculate the highest common divisor of t and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 - -204. Suppose 3*i - 9 = -87. Let k = l - i. Solve k*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200))**2 - sqrt(200)) + -6*sqrt(32).\nAnswer: 6*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32200 (base 5) to base 4\nAnswer: 201333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 40*x + 42. Let h be f(-21). Suppose h = -4*z + 10*z - 30. Solve 1 = -j - t, z*t = j - 2 - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, l: 3, u: 2, v: 4, c: 6}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = n. Suppose -3*v + 7*v - 8 = n. Let b(j) = -2 + j + 0 - v. Let p(c) = -c + 4. Determine 5*b(r) + 6*p(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-1176)\/(-590)) + 2. Let y = u + 197\/147. Factor 0 - 2*h**2 - 1\/6*h**4 + h**3 + y*h.\nAnswer: -h*(h - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a - 3*a)*(2 - 1 - 2) + (8 - 8 - a)*(-3 + 5 - 3 + 4 + 0 - 2 + (3 + 4 - 5)*(2 - 2 - 1)) to r + x*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 3208580250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3 - 1\/(10\/(-80))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16038 (b) 8447\/4 (c) -2\/13 (d) 2\/9 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*4*4\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4346 + 1956 = x. Let o = -536\/3363 - -212133311\/33630. Let w = x - o. Calculate the common denominator of w and -121\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -1. Let o be l\/((-1)\/1 - -3). Suppose -1487*c = 362*c - 9008 - 237. Solve -3*m + c = -o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77663 greater than -77665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8375335*y - 89102932 wrt y.\nAnswer: -8375335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -914.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112.61 + -0.3?\nAnswer: -1112.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007208 rounded to six dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millimeter in micrometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66304 divided by 9472\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 16. Let m = 2 - h. Suppose m = 2*k - 7. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*f + 910, 4*f - 2*f - 584 = -3*u. Suppose 0 = g - 540 - f. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 46590187.\nAnswer: 10249841.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 374397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2703 = -2*b, 3*b = i + 3953 + 104. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2125 or 159?\nAnswer: 2125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.24 - -0.24. Let r = a - 11. Let d = 20.99985 + r. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2170 and 1218.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = -15. Let k = 61 + o. Suppose -3*f + k + 230 = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) 7 (c) 5 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 2610*y**2 + 322125*y + 2125270.\nAnswer: -5*(y - 626)*(y + 7)*(y + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 573 and 25785?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1096*b**3 - 7*b**2 - 20*b + 36. Let f be w(-18). What is f rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g))**(-46))**(-2)*(g*g**(1\/3)\/g)**7*g**(-2\/11)\/(g**(-1\/2)*g) assuming g is positive.\nAnswer: g**(6181\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 - -578 - (-4 - (0 - (1 + 0)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -1041223?\nAnswer: -1041133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 158.\nAnswer: -33\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1932866?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*b**4 - b**2 - 1167*b.\nAnswer: -3168*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ito when three letters picked without replacement from {s: 2, t: 2, o: 2, x: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322823 - -671812. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 2*j + 1. Let s be t(-1). Put -4, s, -5 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 + 66*a**3 + 19*a**2 + 15*a**2 - 209*a**3.\nAnswer: -143*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 4*r**2 - 3*r - 1. Let p be w(-2). Let k(m) = -m**3 - 2*m**2 - 2*m - 4. Calculate the smallest common multiple of k(p) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a\/(a\/(a\/(a*a*a*a**(-1\/26)*a))))\/a))*a)**(2\/25) assuming a is positive.\nAnswer: a**(-51\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5525 + 145?\nAnswer: 566a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-60))\/((-6)\/(-1016)). Let d = -50 + n. Solve -2\/5 + d*i - 2\/5*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 - 1)) + (-11 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55348 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeppteptphtetpeh. Give prob of sequence the.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 2. Let r(s) = -s**3 - 3*s**2 + 5. Let q be r(-4). Suppose 3*j - q = 3. Suppose 8*b - 16 = 4*b, -2*l - b = -j. Give m(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/28)\/(40920\/(-1848) - (-24 + 1))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8880603928 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*-2 - -53. Suppose -2*l - 7 = -k, -5*k + o = 2*l - 7. Let i = 1258 - 1252. What is the lowest common multiple of k and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14.93, -3, -2\/3 in increasing order.\nAnswer: -14.93, -3, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.96 - -2. Suppose -h - 13 = 3*r, 2*h + 5 = -3. Put 2\/5, q, r in increasing order.\nAnswer: r, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - 4*s - 20. Let x(v) = v - 6. Let b be x(2). List the prime factors of y(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/14*322\/621*9.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-28)*4*3*-1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 18 = 6*l. Suppose 0 = -2*s + l*s - 43. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 3, h: 4}. What is prob of sequence hf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 - 119*z - 27. Let d be y(11). Which is the smallest value? (a) -1\/6 (b) d (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167.85000088788 - -167.85. What is n rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -3.5. Let m(x) = -x + 1. Let f be m(-4). What is the third biggest value in -1, f, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10179913 to the nearest integer?\nAnswer: 3191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322320 divided by 6715.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -863539 * 8.\nAnswer: -6908312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4597 by 9.\nAnswer: -4597\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22894 = -4*f - 2*n, -3*f - 3661 = -2*n - 20849. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + 11*w. Let c(g) = -6*g**2 - 12*g. Determine -4*c(p) - 5*y(p).\nAnswer: -p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 471 (c) -1\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4649343565 - -1724915074189\/371. Let w = 23212 - g. Let x = w + 4\/53. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*35\/(-7)*12\/180*36\/4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 789, 775, 759, 741?\n\"Answer: -w**2 - 11*w + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 285787, 285976, 286165?\n\"Answer: 189*n + 285598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (69 - 63) - (36 + 4 - -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d732 (base 16) in base 11?\nAnswer: 38432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4)\/j)\/(j*j*j\/j**(1\/3)*j)*j**(-7\/5)\/(j*j**(-5)))\/((j*j**(-2\/31)*j)\/j**5*j**2*(j\/(j**(3\/2)*j))\/j) assuming j is positive.\nAnswer: j**(4181\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1700) - sqrt(1700) - (1*sqrt(17) + 1)**2) + (((sqrt(1088) + 2 - sqrt(1088) - sqrt(1088)) + -3)*-4)**2.\nAnswer: 214*sqrt(17) + 17406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16779698*o**2 - 9908942 wrt o?\nAnswer: -33559396*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let m = -3\/3173 - 637761\/12692. Let f = 50 + m. What is the third smallest value in 4, f, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 29 = 4*q, -22 = -0*q - 2*q + 4*d. Put 4, 3, q in increasing order.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 15. What is the tens digit of (-2)\/(-2)*s + 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 20 = -2*v, -144*v - 30 = -5*g - 140*v for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*n + 16, l + 4*n + 17 = 2*l. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*t**2 - 207*j**3*t - 96*j**3 - 1291*j**2*t**2 - 11*j**2*t - 2*j*t**2 wrt j.\nAnswer: 6*t**2 - 1242*t - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*a**2 - 6*a + 593 wrt a.\nAnswer: -26*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24740 times 242.2?\nAnswer: 5992028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3658 + -2556. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**2 + 38*p - 4. Let d be t(-2). Solve 0 = -7*h + d + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*q**4 + 4*q*r + 91*r wrt q.\nAnswer: 100*q**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-30)*3)\/((-31)\/(-465)). Let i(z) = 2*z**3 + 6*z. Let a(m) = -5*m**3 - 5*m - 10*m - 5*m + 7*m. Calculate s*a(c) + 13*i(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**7\/10080 + b**6\/1440 + b**5\/480 - 3*b**4\/8 + 6*b**2. Let y(h) be the second derivative of n(h). Factor y(z).\nAnswer: (z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*g + 11711 = -9*g + 15036 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q = -51*q + 14. Let g(l) = -19*l**2 - 16*l - 64 + 31*l**q - 13*l**2. Let k be g(-7). Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7137, -14272, -21411, -28554?\n\"Answer: -2*c**2 - 7129*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -28, -49, -78?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**3 - 2*k**2 + 7*k - 5. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*j, -47*j = -2*v - 45*j - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, j: 1, f: 1, d: 1, v: 8}. Give prob of sequence vz.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Let t = 38 + -66. What is the remainder when t\/35 + 3 + (-54)\/(-5) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10769421577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915 + 14*r**3 + 915.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j*j)**(7\/3)*(j**(-2\/5))**(-12\/7) assuming j is positive.\nAnswer: j**(269\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24175691 and 43\/114126.\nAnswer: 145054146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 9. Let f be n(9). Is 2*3\/9*(-6 + f) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1139*y**2 + 1156*y**2 - 3550*y**2 + 8*y**3 + 1195*y**2 - 2025*y - 3*y**3.\nAnswer: 5*y*(y - 27)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -802235 - 2617356556\nAnswer: -2618158791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*t + 8*r, -4369*t + 4371*t + 16 = -5*r for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1) + (-70)\/40. Is a < 0.005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1101101101001101011?\nAnswer: 1101101101001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-14) + 3\/(-14). Which is the biggest value? (a) -0.2 (b) u (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -575 (b) -0.086 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 44166 and 44166 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(18))*-4 - (2 + sqrt(72) + sqrt(72))**2) + (sqrt(66)\/(sqrt(77)\/sqrt(7)))\/(-1*sqrt(3)*-1).\nAnswer: -304 - 59*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 7 + 7 - 2 + 5*v**4 to the form x*v + z + f*v**4 + g*v**3 + i*v**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/4165 - ((-234)\/(-748))\/(-3).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (626 - 608) + 0 + 45 + 1 + 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191990 and 1885955?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 0, -1, -5, 7431, -4 in descending order.\nAnswer: 7431, 0, -1, -4, -5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 351 + 1?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2195, -8926, -20179, -35954, -56251, -81070, -110411?\n\"Answer: -2261*i**2 + 52*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -703 - 2?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*-2*0\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0231159528 rounded to 6 dps?\nAnswer: -0.023116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -14. Let s = 2.2 - g. Let f(o) = -o**2 + 5*o + 1. Let x be f(4). Which is the third biggest value? (a) -3\/2 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = n - 4, -3*n = -3*x + 2*n - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 0*a + 253*a**2 - 223*a**2 - 112*a**2.\nAnswer: -82*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16300137 + -0.163. What is c rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 3*w - 5*c + c - 24, -55*c = 2*c - 285 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.314 - -2.686. Which is smaller: -5.5 or w?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3388 + 3391. Sort 0, -5, x, -4, -26 in decreasing order.\nAnswer: x, 0, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 - 26342645*a - 131713100 = 0 for a.\nAnswer: -5268524, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 2*d**2 - d - 4. What is the tens digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 16*q**2 + 18*q + 9. Let k be t(-17). Let s = k - -10. Solve u = -z - 7, -s*u = u - 4*z - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 3) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 q when three letters picked without replacement from {q: 1, a: 2, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 9*a**2 - 28*a - 156. Let n be i(-8). What is the greatest common factor of 304 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 10. Let p be z(4). Let l be 2 - 4*p\/(-8). Does 4 divide ((-3)\/l)\/(-3) + 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -448, -6, 1\/525, -4?\nAnswer: 1\/525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1. Let s(m) = 54*m + 12. Give s(d) + 4*t(d).\nAnswer: 54*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -373c0 + -3?\nAnswer: -373c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 228, 787, 1678, 2907, 4480, 6403, 8682?\n\"Answer: z**3 + 160*z**2 + 72*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30681?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 19*b**3 - 2*b - 1. Calculate r(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6*x - 10.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 16 = o, 0 = -36637*s + 36640*s - 4*o + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let c(z) = 102 + 99 - 3*z - 205. What is -c(b) + 4*h(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 3. Suppose 45*f - 42*f - 12 = 0. Suppose j = -0*g - g, 2*g = f*w - 180. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*f - 208*f + 68*f + 68*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4.4664 in increasing order.\nAnswer: -5, 0, 4.4664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*f = 15, 8 = 92*w - 94*w + 3*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1468689 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 5*n - 5*n)*(0 - 2 + 0)*(2 - 3 + 0)*(9*n**2 + 5*n**2 + 4*n**2) to the form c*n**3 + g + o*n**2 + k*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1, 2 in descending order.\nAnswer: 2, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99304 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {p: 1, l: 1, s: 1, y: 2, k: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 31*s + 9. Let k be q(6). Let b be (7 - k - 4)*(-1)\/1. Let d(f) = -f**2 + 5. Calculate d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653651.9 micrograms in milligrams?\nAnswer: 653.6519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqoe when four letters picked without replacement from {o: 1, m: 1, q: 1, a: 1, e: 2, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b - 23*b - 37 - 14*b + 2*b + 5*b. Let p be y(-1). Solve -d = k - 5*d - 10, 0 = -k - p*d - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 8. Find the third derivative of -8*d**3 + 0*d**2 + d**2 - m*d**3 + 8*d**2 wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 + 5. Suppose 5*z = 40 - 5. Let x be i(z). Solve 0 = d - x - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/61))**(-3\/11)*((((t**(-12\/7)*t)\/t*t*t)\/t)\/t)**14 assuming t is positive.\nAnswer: t**(-16281\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w. Suppose -4*j - c - 415 = 0, -7*c = -2*c - 25. Let a be -2*(j\/6)\/(-5). Let g be p(a). What is the greatest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/624384 and -31\/216.\nAnswer: 1873152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558.28 rounded to the nearest 10?\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0144? (a) 0.2 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 3*x, -x - 25*k - 1 = -24*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/2075 + -4088\/64325. Which is the biggest value? (a) u (b) -10 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1629 and 242964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 4*-2*sqrt(171))\/(1*sqrt(9)*5))**2.\nAnswer: 1539\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i + 709. Let u be g(30). Which is the nearest to -1? (a) u (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9757.235ml in litres?\nAnswer: 9.757235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835849?\nAnswer: 7, 97, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 96 = 5*q, -u + 73343*q - 52 = 73346*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 - 0.07. Let f = 3.9 - 4. Let o = -9 - -5. Which is the closest to f? (a) -3\/5 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42 - 40) + (-1 - -9). Suppose a = -460*n + 465*n. Solve -n*g + 1 = -k - 0, -9 = 2*g + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + 0)\/((-4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t + 3. Let y be b(4). Let m = 0 - y. Let r = -5803\/15 - -387. Sort r, 2\/9, m.\nAnswer: r, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*-2 - sqrt(228))\/sqrt(12) + (1 + sqrt(2736))*6.\nAnswer: 6 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111160?\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + 1. Let r(c) = -52 + 97 + 6*c**2 + 375*c**3 - 48 - 368*c**3. Let t be 4\/(-6) - (-2)\/(-6). Determine t*r(p) - 5*o(p).\nAnswer: -2*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/(-64))\/(100\/32 - 3). Suppose 12*q - 36 = 6*q. Solve -4*n + q + 16 = 3*o, -5*o + 5*n - c = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1114102 - -3?\nAnswer: -1114055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*p - 89*p + 64*p - 272*p - 23*p to the form t*p + b and give t.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653 + -653.1. Let a = 32.41 - 32. Let s = 0.01 - a. What is the second smallest value in 0.3, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4 + 4. Let g be 0*(-10)\/(-8)*m\/20. Let p be ((0 - g) + 2)*2. Solve -p*x - 8 = -2*f, x = -5*f + 25 - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14199 is divided by 3433.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -115832 divided by 14479\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -167*n**2 + 64*n - 408. Calculate t(4).\nAnswer: -2824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -567 + 567. Suppose a = 175*m - 178*m + 15. Suppose -7*p = -4*p - 30. What is the greatest common divisor of p and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 418 = -12. Suppose y + 56 = z. Calculate the greatest common factor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*p + 237, 3*d + 144 = 3*p + 6*d. Let z(v) = -p*v + 47*v - v**2. Let o(h) = -3*h. Give o(z(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10454400 by 1920.\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/69)\/((21\/(-1386)*-22)\/(-1))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1339691 + 607391. What is z rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7818.243 kilometers in meters?\nAnswer: 7818243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -4\/3*o**3 + 59 - 32*o + 12*o**2. Factor q(y).\nAnswer: -4*(y - 4)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -30739 (b) 63 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 + 4*l + 80. Let d be o(0). Which is smaller: d or 88?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-514 + 99 + 242)*(-62*g + 62*g - 21*g**3) in the form d*g**2 + k + x*g + w*g**3 and give w.\nAnswer: 3633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 22 = 4*r, 5*g - r - 15 = 0. Suppose 0 = g*t + t. Is -1*-7*(t + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-9972)\/1428)\/(57\/21 - 2)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - f)*(2*f + 2*f - 2*f)*(0 + 1 + 0)*(2*f - 2 + 2)*(-5 + 19 + 36)*(-5 + 1 + 0).\nAnswer: 800*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:59 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 61, 5, 18, 407, 10 in decreasing order.\nAnswer: 407, 61, 18, 10, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.918 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**2 + 22*i**2 + 42*i**2 - 320*i**2 + 72*i**2 + 64*i**2.\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + 11784b?\nAnswer: 11786c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9084560*g**6 - 144*g**2 + 218*g + 7 wrt g.\nAnswer: -1090147200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1651421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 1)*(5*v - 2*v - v) - v + 2 - 2 + (0 + 2 + 0)*(-1 + 1 - 2*v) - 2*v + 0*v + v - 2*v + 0*v + 3*v + 2*v - 4*v + v in the form r + j*v and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j**2 + 4*j - 12. Calculate the lowest common multiple of 44 and c(2).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 46 + 14. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*n - 0 - 1, 5*n - 20 = 0. What is the remainder when 23 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + c + 4*c + 8*c to w + g*c and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l - 5*t - 8, -3*l - 3*t = -30. Let r = l - 3. Suppose -4*j = -3*p - 301, -5*j = 4*p + 19 - 434. What is the remainder when j is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4392*g - 18087*g**2 - 2192*g - 2200*g.\nAnswer: -18087*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 - 3*y + 6. Suppose -3*q = 37 - 7. Let g = -16 - q. Let r be k(g). What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 26*a**2 - 3*a - 39. Let r be n(-13). Find t such that 0*t - t**5 - 1\/4*t**3 + r*t**2 - t**4 + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 1169.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34436.8 and -4372288497?\nAnswer: 4372254060.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 9)*(3*l**3 - 2*l**3 + 3*l**3).\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -99090 and -99218 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 9, 5*r = -f - 11 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 86434883 to the nearest ten thousand.\nAnswer: 86430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88060*p**2 - 2*p - 185255.\nAnswer: 176120*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 14 - (32 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/40320 + b**7\/10080 + 4*b**5\/15 + 3*b**2 - 9. Let n(h) be the third derivative of o(h). Factor n(a).\nAnswer: a*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = 2*r - 4*a, 5*r = 5*a + 10. Let i = -278 + 276. Let b be i\/(-3) - 164\/66. Is r less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9765, -9752, -9735, -9714, -9689, -9660, -9627?\nAnswer: -9590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5.43 (b) 2\/23 (c) 1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2375 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 643 + -7067\/11. Factor -2\/11 - 4\/11*r**2 - f*r.\nAnswer: -2*(r + 1)*(2*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/16 + 7\/42*-6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.754 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 6*a**2 + 23*a**3 + 172 - 94 - 91.\nAnswer: 23*a**3 + 6*a**2 - 13*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**3 - 7*c - 7. Let t(m) be the first derivative of 5*m**4\/4 - 2*m**2 - 3*m + 7369. What is 3*g(n) - 7*t(n)?\nAnswer: -2*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s + 18. Calculate the remainder when l(-3) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.991182us to minutes.\nAnswer: 0.0000000665197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200) - (sqrt(2200) - ((2*sqrt(2200) - sqrt(2200)) + sqrt(2200))))*-5)\/(sqrt(12)\/((sqrt(6) - sqrt(384))*-4)).\nAnswer: -2800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1.8\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 22*g - 4*g)*(-3 + 7 - 1 + (1 - 3 + 1)*(0 - 4 + 2) - 5 + 5 - 1).\nAnswer: 112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**(-1\/8))\/(o**(-4\/7)*o\/(o\/(o\/(o*o**2)))*o) assuming o is positive.\nAnswer: o**(305\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 6. Calculate s(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (7 - (-56 + 55 + 2 + 27))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1096)\/(-10))\/((-60)\/150). Put 2, -2, l in descending order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85597341*p + 38788730 wrt p?\nAnswer: -85597341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628 = 193*w - 36*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0418323 in 0.1, -1\/3, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -913508000 rounded to the nearest 1000000?\nAnswer: -914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 6*n + 10*n, 0 = 3*k + 2*n. Solve 5*w + 13*z - 6 = 9*z, 4*w + 3*z - 5 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6012 is divided by 749.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + c**2 - 6. Suppose 3*b = -5*i + 44, -2*i + 5 = -3. Let f be n(b). Let k = 1411 + f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-30))**21)**(-34) assuming r is positive.\nAnswer: r**21420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 7*p + 2*p. Let l(b) be the third derivative of -b**5\/60 - 37*b**3\/6 - b**2 - 14. Let h(k) be the first derivative of l(k). Calculate f(h(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 1, s: 7, m: 1, d: 1, z: 4, i: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*o**3 - o + o.\nAnswer: -234*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4285 bigger than -642631\/150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**3 + 40*y**2 + 94*y - 427. Calculate k(5).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 533 - 482. What is the remainder when l is divided by ((9 - 23) + 15)\/((-2)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20 - 14 + 14 - 3 - 60*t. List the prime factors of d(-4).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99\/2 - -50. Let r(q) be the second derivative of -i*q**3 + 0 + 2*q - 3\/4*q**4 + 3*q**2. Let r(m) = 0. Calculate m.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from {l: 3, u: 4, n: 10, s: 3}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.2. Let t = 465 - 456. Let z = t + -8. Which is the nearest to g? (a) z (b) 4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12799858 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 63, -5, 5, -3, -26 in increasing order.\nAnswer: -26, -5, -3, -2, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let b(j) = -4*j**2 + 2*j**t + 5 - 5*j - 8. Suppose 0*q - 6 = q - 3*n, -q + n - 4 = 0. What is b(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367 - -370. Let g = -2 + 2. Suppose -l*f - k = -0*k - 18, k + 3 = g. Which is smaller: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3358 - b**2 - 2*b**2 + 7*b - 3354. Let u be o(3). Let a(h) = 10*h**2 + 2*h - 2. Calculate a(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2253761 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/3 - 3\/9. Let f(k) = k**3 + 4*k**2 - k - 2. Let q be f(v). Determine w, given that 1\/6*w**5 + 5\/3*w**q + 5\/6*w + 1\/6 + 5\/3*w**3 + 5\/6*w**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuxwuddzgdzxzgd. Give prob of picking 1 w and 1 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74547 and 25406973?\nAnswer: 6777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.228 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.1, -4, 3, -5, 663?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -42*u - 5. Calculate q(-3).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015716217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 20501937840.84?\nAnswer: 20501937826.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, -8.\nAnswer: -8, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2351.1 + 2160. Let q = k + 178. What is q rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -96*q + 98*q + 3*a, 3*q = 2*a - 4. Solve 4*h + 1 = -3*j, 6*h = q*h - 4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.03, 48, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 159800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665 divided by -555?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 3 - 3)*(-1 - 3 + 2) - x + 0 + 0 - 1 + 1 + 2*x + 152*x - 87*x + 72*x + (0 + 3 - 4)*(x - 3*x + 0*x) to the form o + r*x and give r.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(468\/16)*4\/(-24))\/((-8)\/(-4))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*v - 4992 + 2480 = 6008 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -307*w**4 - 10*w**3 + 2*w**2 + 2063 wrt w?\nAnswer: -1228*w**3 - 30*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5670, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + p - 4 + (-4 + 4 - 2)*(-p - 3 + 3))*(-2*p**3 + p**3 + 2*p**3) + 11*p**4 - 67*p**4 + 5*p**4.\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let b(q) = 3*q**2 + 4 + 11*q**3 + 2*q + 3*q**3 - 4*q**2 - 13*q**v. Let n be b(0). Solve -d = d + n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6220625 decades in months?\nAnswer: 74.6475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7288625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6443 (base 12) in base 14?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 92 = 4*i, 0 = -3*i - 3*w - 42. What is the least common multiple of ((-66)\/i)\/((-2)\/(-6)) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-26) - (-53)\/(-106). Which is the third biggest value? (a) 40 (b) 6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - -101 - 7 - (132 - 98)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0 (c) 0.5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 3650*x**3 + 3649*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1 in increasing order.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.25 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65125 - -20641?\nAnswer: 116066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 365 and 1822\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0132 + -42.3868. Let c = 7.8 - o. Let w = c + -50. Which is smaller: 24\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/20982118 and -89\/5521610.\nAnswer: 104910590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 4. Let v be s\/1 - (1 - -1). Let d(g) = -g**2 - 3*g - 1. Let k be d(-1). What is the third biggest value in -0.1, v, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:14 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:34 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 1, b: 6}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 18980.\nAnswer: 75920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(80)*-2)\/sqrt(4) + sqrt(20)))\/(5*sqrt(64)\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**4 - r**2 + 2*r. Let u(i) = -6*i**4 - 4*i**2 + 7*i. Let m(v) = 14*p(v) - 4*u(v). What is the third derivative of m(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*6*(-2)\/(-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuugunguignngpngk. Give prob of sequence kn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (-4)\/34 + ((-4800)\/68)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 2.272?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47149759991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77)*-1 + sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))*-4 + sqrt(77)) - sqrt(77))*2)\/(sqrt(693)\/sqrt(539)).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5173, -10346, -15521, -20698?\n\"Answer: -i**2 - 5170*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28892, -230837, -778972, -1846391, -3606188, -6231457, -9895292?\n\"Answer: -28849*q**3 - q**2 + q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-15)\/6)*-2. Are -9\/4 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -5.03. Let i be ((-15)\/(-54))\/((-1)\/93). Let o = -26 - i. What is the third smallest value in 1\/6, o, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19415 - -47535. Does 76 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k - 14. Let p be v(-3). Suppose -5*x + 101 = 2*d + 2*d, -2*d - x = -43. What is the greatest common divisor of d and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0 - 5*h**2 + 0. Let w(c) = c**2 - 4*c. Let v(m) = -3*m**2 + 11*m. Let b(z) = 3*z - 35. Let l be b(13). Let o(s) = l*v(s) + 11*w(s). What is o(q(j))?\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (-1)\/4. Let y(t) be the third derivative of t**4\/12 - 5*t**3\/6 - t**2. Let w be y(5). What is the second biggest value in 1\/3, u, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 12*h + 81 = 0. Let j = 100 - h. Suppose 2*k = -2*s + 5*k + 84, s = -3*k + 24. What is the remainder when s is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 15. Let r be d(10). Suppose -3*t + 4*w - 20 = 0, t - 6 = r*t + 5*w. Let b be (6 + t)*3\/6. Solve -b + 16 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + (sqrt(2299)*-2 + -2 - sqrt(2299)))**2 - (2*sqrt(2299))**2*4) + 5*(sqrt(2299) - (-5*(0 + sqrt(2299)))**2))*6.\nAnswer: -2000154 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 595 + 315 = 0. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -938, -1874, -2822, -3788, -4778, -5798, -6854, -7952?\nAnswer: -9098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.055 + -28.055. Let h = -36 - l. What is the third smallest value in -1\/6, -4, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d - 6. Let l be v(2). Let h = 20 - 13. Solve 0 = h*b - l*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20507\/912 + 430\/19. Calculate the common denominator of c and (-2682)\/(-945) - 2\/((-30)\/(-9)).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(108) - ((-1*sqrt(3) - sqrt(3)) + -3) - ((sqrt(108)*2 - sqrt(3) - 5*(1*sqrt(3) + sqrt(3)))**2 + -5).\nAnswer: 5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -23. What is the remainder when 81 is divided by 8\/z*(102\/3)\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18887*x**2 + 1324 wrt x?\nAnswer: -37774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*l**3*v**2 + 1498*l**3 - 17*l**2*v**2 + 2*l*v wrt v.\nAnswer: -92*l**3 - 34*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34605 - 6989464978.\nAnswer: -6989430373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31280033, -31280039, -31280045, -31280051?\nAnswer: -31280057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12969 + -0.13. What is i rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 9132, -5, 2, -4.\nAnswer: -5, -4, 2, 47, 9132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -162 (b) 1.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (30 - (32 - -10 - 122)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 9*m + 36 = 0. Factor 0 + 3\/2*a + 0*a**3 - 3\/4*a**m + 9\/4*a**2.\nAnswer: -3*a*(a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3776700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*295192\/(-16)*2258. Let c = y - -28938971. Round c to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((52\/(-26))\/((-6)\/3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5960, -5961, -5960, -5957?\n\"Answer: a**2 - 4*a - 5957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 62 = 2*z, -2*y - 2*y - 3*z = -65. Let c = 3 + -4. Let i = c + 1. Solve -14 = 3*l - p, -y = 4*l + p - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5\/3 - 1356*c**4 - 1116364*c**3\/3 - 13649524*c**2 - 37619776*c\/3 + 26562928 = 0.\nAnswer: -487, -42, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2464 and 119\/10.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3697344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y**4 + 2*y)*(-1 + 2*y + 1) + 5*y - 2*y + y**5 + y**5.\nAnswer: 4*y**5 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -190.687 and 0.3.\nAnswer: -57.2061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {i: 1, m: 4, z: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + 3*u**5 + 0*u**5 + ((-5*u**3 + 3*u**3 + 3*u**3)*(-u**2 + 0*u**2 + 4*u**2) + u**5 - u**4 + u**4)*(-2 + 0 + 0).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1660, -3351, -5084, -6865, -8700, -10595, -12556, -14589?\n\"Answer: -x**3 - 15*x**2 - 1639*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.6 + 11.3. Let m = 0.1 + x. Is m less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-8)*(3 - 0). Let x = u + 18. Let b(j) = -5*j**3 + 3*j**2 + 1. Let c(k) = -k**3 + k**2. Determine x*c(h) - b(h).\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-152232)\/(-18) + (-128)\/96.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Let w(g) = 20*g + 25. What is 25*l(h) - w(h)?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - s - 22 = -49, -4*s - 24 = 4*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-3\/31)))**(-1\/11))**(7\/2) assuming z is positive.\nAnswer: z**(98\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 566*o**2 + 798*o - 798*o - 12*o + 12*o + 3*o**2 + (-3 + 0 + 4)*(2*o - o**2 - 2*o).\nAnswer: 568*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2 (c) 0.4 (d) 329269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/32703010 and -7\/26162408.\nAnswer: 130812040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -5, -108291.\nAnswer: -108291, -5, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 10*i - 71. Let a be d(-5). Solve 0 = 3*q - 5*x, -8*x = -a*q - 3*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3003 + -48141\/16. What is the common denominator of f and -59\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0855278194 rounded to five decimal places?\nAnswer: -0.08553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8735 - 8740. Which is the second biggest value? (a) -0.1 (b) f (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x**5 + 0*x + 0*x**7 - 1\/112*x**8 + 0 + 3*x**2 + 0*x**6 - 1\/24*x**4 + 0*x**3. What is the second derivative of i(w) wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/20 + w**4\/24 - w**3\/6 - w**2. Let f(i) = -2*i - 5 - 2*i + 5*i. Let g be f(6). Determine d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/(-15)*354\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-43 - -52) - 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = 5*c, y + 4*c - 2 = 0. Let t = 0.43 - -0.07. Let x = 119\/13 - 9. Sort y, t, x.\nAnswer: y, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 11*f**2 + 11*f - 3. Determine s(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - w**2 - 111 + 7 + 2*w**3 - 135 to q + i*w**3 + z*w + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.68798 + -0.5837. Round i to three decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 13, t: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*a*n + 527744*a + 1074*n wrt n?\nAnswer: 18*a + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 32*q**2 - 71*q - 60. What is d(34)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*j = -8179 - 636, 2*n + j = 2510. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -2. Let j = 4 + -4.3. Which is the closest to g? (a) j (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19743712*b**4 - 7534043?\nAnswer: 78974848*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/290752 and 101\/36344.\nAnswer: 290752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*c**3 + 9*c**2 - 13772 wrt c.\nAnswer: 42*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 11*z**3 - 4 - 25)*(4*z - z - 4*z)*(4 - 4 + 2)*(1 - 2 + 5) to n + m*z**4 + g*z**3 + c*z + v*z**2 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*c**2 - 210 wrt c.\nAnswer: -346*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0974178 decades in months?\nAnswer: 11.690136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/21 (b) -449 (c) 2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 154\/19 or 8?\nAnswer: 154\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 3. Suppose -4*u - 4*a - 8 = 0, 3*u - 4 = -u - a. Let h(r) = 2*r**u + r + r - 3*r. Let z be h(-1). What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648647 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344710?\nAnswer: 2, 5, 34471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + d - 9 = 0, -5*z + 3*d - 4*d - 15 = 0. Let r be (z\/(-6))\/(4\/24). Find the second derivative of -2*s**4 + 7*s**4 + 2*s**4 - 3*s**r + s wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 0.2 (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -8 + 8 - -18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44*(-5)\/(-20))\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = -t, 4*t = -0*t - 16. Solve 3 = -x*i + 3*k, 3*i - 6*k = -k + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*w + 30 = w, -10 = 3*m + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 45.04. Let x = y - 0.04. Let r be (-10)\/15*(-1)\/2*-1. What is the smallest value in r, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Let k(r) = -1. Let m(t) = 3*a(t) - 6*k(t). Let w(s) = -4*s**2 + 944*s - 944*s. What is m(w(l))?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*q - 16*q - 120*q + 28*q to x + n*q and give n.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*z, -145*z = -3*n - 150*z. Solve 18*g - 3*g + 15 = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 + -2?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96212.01 decades in centuries?\nAnswer: 9621.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 356*t**2 - 243*t + 961. Give c(118).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148 + 17*b - 133 + 268 + (b - 3*b + 3*b)*(-5 + 4 + 0).\nAnswer: 16*b - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2369289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*i = 409*i - 872*i - 451. Let l = 0 + -4. Put i, 5, l in descending order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(3888) - sqrt(3888))*-4)**2.\nAnswer: 995328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65620512 + 8780512 = 7*u. Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.89 - -6. Let g = z - -1.89. What is the smallest value in g, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138603867?\nAnswer: 3, 947, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -23. Let z(y) = y**3 + 6*y**2 + 3*y - 7. Let t be z(-5). Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 9*c - 6. Let s be u(-10). Suppose -s*a = 2 - 14. Suppose i - 35 = a*x, -3*i = -7*i - 2*x + 140. What is the highest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2. Let w be d(1). Factor 29 + w*s**2 + 1 + 45 - 30*s.\nAnswer: 3*(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87512071 to the power of 1\/2, to the nearest integer?\nAnswer: 9355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 6*o - 10. Let f be t(4). Let a be f\/(0 + 4)*-44. What is a rounded to 0 decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 19, 1097 in descending order.\nAnswer: 1097, 19, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45441 divided by 55.\nAnswer: -4131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hstt. Give prob of picking 1 t and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*q + 128*q + 105*q + 288 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 709421.3 to the nearest 1000.\nAnswer: 709000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {y: 2, b: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5316.05 - -5519. Let q = 203 - j. Which is the second biggest value? (a) q (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a7a - -1?\nAnswer: 17a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2, -5, -26, -340, -2 in increasing order.\nAnswer: -340, -26, -5, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(39)\/sqrt(3) + ((-1*sqrt(104) + sqrt(104) - sqrt(104)) + sqrt(104) - sqrt(104))\/sqrt(8) + (sqrt(13) + 0 + 4)*5)**2*1.\nAnswer: 240*sqrt(13) + 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536 and 2?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = 5*o - 15, -o - 2 = 0. Sort -2, j, 0 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70085 divided by 14017.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -34*g**2. Let r(s) = -s - 2. What is r(j(n))?\nAnswer: 34*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125540 + -1722785418\/13723. Let w be 2\/164676*1495819 - 2. Let c = w - b. Find the common denominator of c and 127\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/105)\/((-1)\/(-10)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 18 = -11*c. Suppose 5*h = 4*l - 8, 0 = 4*l + h - 9 + 1. Suppose l*j - 3 = v, -3*v + j = -0*v - 6. Solve -5*r - v = -c*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 1938916942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 367*t + 7700. Give d(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191325 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 2)*(-4*r + 4*r - 2*r**2)*(-355*r**3 - 350*r**3 + 285*r**3).\nAnswer: 5040*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 6*p - 6. Let j be y(-6). Does 13 divide j*2*(-57)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 13 + (-15)\/(60\/34). Which is the smallest value? (a) m (b) 5 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161*7.2.\nAnswer: -1159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.344 - -0.144. Round j to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + 45?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 11*q**4\/12 - 7*q**3\/3 - 31*q**2 + 3*q - 7. What are the prime factors of n(-5)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*j**2 - 393071*j**3 + 393271*j**3 - 327*j**2.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, 6\/7, 2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9336201821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*2*1547\/(-91).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16*b**2 - 11*b. Let f be 2\/(-11) - (-119)\/(-11). Let n(z) = 3 - 3*z**2 - 2*z - 6 + 3. Calculate f*n(s) + 2*o(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**6\/6 - 51*o**4\/4 - 85*o**3\/3 + 22. What is the third derivative of m(d) wrt d?\nAnswer: 60*d**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7399 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-15)*(-108)\/(-90)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*z + 302*z + 98*z + 138*z to the form r*z + v and give r.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1492 + 50*m + 1492)*(0 - 2 - 2).\nAnswer: -200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 874*t**3*y*z**2 - 31*t**3*y - 3516*t*y*z**2 + t*y*z + 3634*y*z + y wrt z.\nAnswer: 1748*t**3*y - 7032*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 - 5*v. Let j be x(-1). Solve 0 = b + 4, -3*g + j*g - b - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15416173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5\/3 - 7640*m**4\/3 - 3493868*m**3\/3 - 460566856*m**2\/3 + 804187344*m + 956547552 = 0. What is m?\nAnswer: -1311, -302, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.045 or 0.02?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)*9*5. Let b = n - -55. Solve 0 = -w - w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - 6 - (2 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988868811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016602944495 to six dps.\nAnswer: 0.016603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13148679719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 + 153?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 + 3*g. Let q(r) = -4*r**2 + 2*r. Let v(i) = 2*d(i) - 3*q(i). Let a = -1 + 1. Let b(z) = -z - z - z + a. Determine b(v(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -33.8 (c) -0.23 (d) -1\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 13, -12 in decreasing order.\nAnswer: 13, -0.1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (76\/(-16))\/(3*4\/(-4128)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.056 - -40.956. Let a(d) = -d**3 + 4*d**2 + 3*d - 5. Let l be a(4). Let h = 10 - l. What is the biggest value in h, 1, v, -11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 97*k + 6. Let m(y) = -15181*y + 113 - 760 - 724 - 584 - 16444*y. Let f(p) = 1955*a(p) + 6*m(p). Let n(t) = -t. Calculate n(f(h)).\nAnswer: 115*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 252. Let i = 256 + t. What is the lowest common multiple of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/2 - 89*h**3\/2 + 1293*h**2\/2 - 1031*h\/2 - 1207 = 0. Calculate h.\nAnswer: -1, 2, 17, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -111*r**2 - 223*r - 2. Let l be d(-2). Solve -3*g - 18 = 4*j - 5*g, l = 5*j + 3*g + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2))\/(z*(z\/(z**(19\/4)*z))\/z*z) assuming z is positive.\nAnswer: z**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-4))\/3)\/((-3657)\/424).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -0.15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1155\/(-10) + -3)\/(1 + 2). Let s = -135 + 93. Let x = s - d. Are x and 1\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4233, 0, 3.\nAnswer: 0, 1\/5, 3, 4233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 8. Let m be w(6). What is the common denominator of (3\/(12 + 0))\/((-10)\/(-140)) and 1\/m - (-176)\/28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1570?\nAnswer: 1570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, m: 11, a: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/240 + 9*r**5\/80 + r**4\/2 - 14*r**3 - 82*r**2. Let s(m) be the first derivative of l(m). Find t, given that s(t) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73836869 to the nearest integer?\nAnswer: 8593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*a**2*x**3 - 22*a**2*x**2 + 141*a**2*x + 4*a**2 - 22503940*a*x**2 + x**3 wrt a.\nAnswer: 156*x**3 - 44*x**2 + 282*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.6757 or 30?\nAnswer: -4.6757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 23. Let s(i) = -i**2 + 4 - o + i**2 + 3*i - 22*i**3 + i**2. Is 7 a factor of s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*18\/3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 609725 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156.61 - 157.03. What is the nearest to -0.1 in 2, 1\/17, l, -0.3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.94 - 0.06. Let s = 0.51 - 0.21. Let i = f + s. Which is the second biggest value? (a) i (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 69251693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/90787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = 238*q + 401 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t - 12 = -4*n, -3*n + 8 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 19 = 35. Solve -2*m - 4*j - 12 = 0, 10 = -5*m - c*j - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 2*r + 6. Let i be h(-6). Factor -27*u**2 + i*u**2 - 12*u - 7 - 8.\nAnswer: 3*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/17 at most 4059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 77567?\nAnswer: 77567.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.5, 3, -3, 0.2 in decreasing order.\nAnswer: 20, 3, 0.5, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + -5.13. Let o = 0.089 - -0.911. Which is the third biggest value? (a) h (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334477, 334479, 334481, 334483, 334485?\nAnswer: 334487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gokokokokohwwekk. Give prob of sequence ghw.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kurkmprp. Give prob of picking 1 u and 2 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.6 + 33.6. What is the nearest to -1 in -3\/4, x, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024233 (base 5) in base 7?\nAnswer: 355342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtjj when four letters picked without replacement from jtjttj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Let h = 10 - b. Let p = 0 + 0.1. What is the smallest value in p, 2\/5, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -34 - 21 - 4*j + 62. Let c be n(-2). Is 2094\/((-4)\/(-2)) + -13 + c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y\/(y**3*y)*(y*y**(-2)\/y)**15)\/(y*y**8*y\/(y\/(y\/y**(3\/2))))**(10\/7) assuming y is positive.\nAnswer: y**(-365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7 - 2.1. Let r = i - 0.6. Suppose -2 = -4*w - 18. What is the third biggest value in -0.4, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/14*-661)\/(-94 - -93). Let k = -93 - r. Factor -6\/7 - 2\/7*m**2 + 2\/7*m**3 - k*m.\nAnswer: 2*(m - 3)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 443, 1417, 3309, 6425, 11071?\nAnswer: 17553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036.5515 + -0.538.\nAnswer: 1036.0135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90903 and 1256?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 - 142*g**2 + 19*g - 33. Let d(m) = -2*m**3 - 52*m**2 + 7*m - 11. What is 11*d(u) - 4*w(u)?\nAnswer: 6*u**3 - 4*u**2 + u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-347427)\/(-12))\/(((-36)\/16)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybooolyyoloyo. What is prob of sequence lo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4121 - 0.0321. Let w = a + -1.38. What is the third biggest value in -1\/2, -2\/41, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-18 + 10 + 7). Let t(i) = -27*i. Let w(n) = -n**2 + n. What is a*t(u) - 27*w(u)?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -140, 62, 0, 15 in descending order.\nAnswer: 62, 15, 5, 0, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 21 = -15*c. Let o(z) = z**3 - 7*z**2 + 3. What is the lowest common multiple of o(c) and (-2465)\/(-75) - (-4)\/30?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 2367*o**3 - 36579*o**2 + 320355*o + 354564 = 0.\nAnswer: -21, -1, 7, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 - 1 + 2 - 6*u**3 + 8*u**3 - u**2 + u. Let m be p(0). Let f be m + 2\/(-7) + 4\/14. Solve j - f = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m - 6597. Let x(u) = -10*u. Calculate x(v(i)).\nAnswer: 10*i**2 + 10*i + 65970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - f + 6, 6*c + 3*f + 17 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*d**2*h**2 - 3*d**2*h - 5*d**2 + 5*d wrt h.\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by 34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775367449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {y: 1, a: 3, n: 7, r: 3, k: 3, s: 2}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 times 1140.9\nAnswer: 695.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266 greater than 3267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082773.\nAnswer: 29, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*h + 345*h = 0. Determine r, given that 12\/5*r**3 + h - 3\/5*r**4 - 3*r**2 + 6\/5*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408201 take away 3?\nAnswer: -408204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 25. Calculate the remainder when 11 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q - 3. Is q at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50283 and 2997.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62474 times -0.4?\nAnswer: 24989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = 0, 0 = -3*s - 3*f + 72 + 3. Let r = -33 + s. Let c = r + 28. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64728 (base 10) to base 8\nAnswer: -176330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 26*o = 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.451547 and 13.18?\nAnswer: 5.95138946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p, -j + p = -2 + 3. Let h(l) = -15*l + 1. Let f(s) = s. Let v(t) = j*f(t) + h(t). Let o(y) = y. Calculate v(o(r)).\nAnswer: -12*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8205405 divided by 29?\nAnswer: -282945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 at most -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 2742.\nAnswer: -52\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 45. Suppose -20 = 3*w - 2*b, 5*w + b = 5*b - 36. Let s = w + a. Calculate the remainder when 19 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*s = 1374*s - 512 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 7*y**2 + 3*y + 61467. What is the ten thousands digit of w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**7\/42 + 11*y**4\/12 - 7*y**3\/3 + y**2 + 16*y. What is the second derivative of a(b) wrt b?\nAnswer: -20*b**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 5*s - 24. Let k be d(8). Suppose w - 5*h = 0, 4*w = -k*w + h. Suppose j + 4 = -5*c + 5, 4*c + 2*j - 2 = w. Solve c = y - 3*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2178 - 2175. Solve n*m - 2*x = 14, -4*m + 5*m + 10 = -3*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10900075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Suppose 0 = b + 5*r - 15, 5*b - 99 = -2*r + r. Solve a*j = -j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*w - 4 = 0, -606 = 5*b + 28*w - 781 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**17\/s**(6\/11))\/(s*s**(1\/8))**47 assuming s is positive.\nAnswer: s**(-3205\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5028651 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -59. Suppose b = -f + n, -f - 3*b + 21 = -0*b. Suppose 0 = 3*c - 12. What is the lowest common multiple of c and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*(-1)\/(36\/9). Let c(u) = 3 + 8*u - 2 - 6*u + 1. Determine c(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/28 + (-22 - 310\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16462817 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.068443 - 922\nAnswer: -921.931557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262249 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 2 + 1*-5. Is (-4 - s)*-1 - -55 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -5845.5?\nAnswer: -5829.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 6 - 3)*(-u**2 - 2*u**3 + u**2)*(75 - 75 + 24*u) to the form j*u + c*u**3 + f*u**4 + d*u**2 + h and give f.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4.3. Let y = -0.4207 + -0.0793. Which is the biggest value? (a) y (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g - 44. Let v(z) = z + 3. Let u(r) = c(r) + 12*v(r). Calculate u(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89573472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - (sqrt(1029)*2 - sqrt(1029))))\/(sqrt(300)*-1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -8*k**2 - 10*k - 356. Let z(t) = -t + 1. Let m(x) = 1. Let w(j) = 5*m(j) - 3*z(j). Give 2*h(b) + 11*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6376 - -14?\nAnswer: -6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((21\/(-18))\/(-7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvm. What is prob of picking 2 v and 1 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 241489080 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.6392 + 33. What is v rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 124. Determine a(25).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 438607108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19754 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44000*a**2 + 43992*a**2 + 35150*a - 35150*a.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -172501*h - 4. Let a(g) = g**2 - 4*g - 7. Let m be a(6). Let c be -5 - -1 - (m + -5). Let x be d(c). Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w**2 - 4*w - 3. Let z be f(-2). Let i = 64 + z. Is -12\/7 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -136?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246851630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69703 divided by -4.\nAnswer: 69703\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpppgzpgggzkkz. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40295485)\/(-15) - (-4)\/(-6). Let k = -1598365 + l. Suppose 2*o + 2*o - k = 0. What is o rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 23, -1\/11, 5, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) + 158\/2. Let u = v - 48. Solve 5*t - 5 + u = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6093 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100101111010 (base 2) to base 8.\nAnswer: 134572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/35, 1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.7 in -0.4, 5, -3\/5, -9\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-88)\/(-22)*1*-31. Let c = p - -133. Solve -4*x + 20 = -c*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 12. Find the first derivative of -6 + 7 - c + 1 - r wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/((-56)\/(-280)) + 348. Calculate the greatest common divisor of 570 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {m: 2, j: 2, r: 2, k: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63)*1)\/((sqrt(9) - -2*sqrt(9))*-2).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -479873*n**2 - 800*n - 263 wrt n?\nAnswer: -959746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -341233202 (base 5) to base 12\nAnswer: -609008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136908 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1804379218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20003595?\nAnswer: 3, 5, 257, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5239 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6 - 22. Suppose t = 13*y - 9. Sort 0.7, y, -5, 3 in ascending order.\nAnswer: -5, 0.7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvsvtssvtvktosksvs. Give prob of picking 3 v and 1 t.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 278946430?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 673.5 - 673.43. What is the smallest value in p, 0.5, -77\/6?\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2341 + -2340.933. Which is bigger: -4\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) - 88\/14. Let v(o) be the second derivative of o**5\/20 + 7*o**4\/12 + o**3 + 9*o**2\/2 + o. List the prime factors of v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l - 3 + 3 + 733*l.\nAnswer: 612*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4526818 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, 0.5, -0.4, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/5 + 27\/20. Put 5, b, 0.1 in descending order.\nAnswer: 5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59022 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2310)\/(-20)*48\/36. Suppose u + 220 = 3*z, -118 - 222 = -5*z - 5*u. Let t = v - z. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3740 - -3744. Which is the closest to -1? (a) z (b) 14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326280 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 103512?\nAnswer: 103513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 + 203. Solve 0 = -3*y + 9, -p*v + y = 6*y - 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93.365 in 5, 0.5, -0.3, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 8*h + 9. Let d be l(-6). Let g be -3*(0 + 14\/d). Suppose 0 = -3*p + p + g. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 23\/165 (c) -1 (d) -4 (e) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 14*s + 2. Let t be x(-14). Let d(m) = -4*m - t*m + 9*m - m. Let f(l) = l**2. Determine d(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 453*g + 3 + 0 + 7.\nAnswer: 453*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 169200 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - a + 6 = -2*a, -3*a = 2*d + 10. Let g = d - -2. Solve 2*i - 5 = -g*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29811917, -59623838, -89435759, -119247680, -149059601?\nAnswer: -178871522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199432 - -1997043\/10. Let k = t - 273. Calculate the common denominator of 3\/34 and k.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14799692.\nAnswer: 2, 337, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-945))\/((-22)\/(-12)*140\/77)?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9256*p**2 - 37118*p**2 - 6*p**3 + 9383 - 9383.\nAnswer: -6*p**3 - 27862*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let m = v + -1. Let d(c) = c**2. Let p(b) = -2*b**2 - 1. Let x(l) = -5*d(l) + p(l). What is x(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 + -6bb?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 1 - 670*k**3 - 3 - 8 - 32*k + 677*k**3. Let s(y) be the first derivative of c(y). Let m(v) = -2*v. Determine m(s(j)).\nAnswer: -84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -5 (b) 4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 405055\/234 - 1731. Calculate the common denominator of h and 47\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14)*77\/55. What is the nearest to 0.04 in 1, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12163 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3231, -3227, -3223, -3219, -3215, -3211?\n\"Answer: 4*f - 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -62, 0, 3\/5, 4, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5426*f - 3404*f - 318*f + 1241*f + 851*f.\nAnswer: -7056*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = 4*b - 2*z, 2*b + 8 = z. Let t(r) = 24*r - 22*r - 8 + 4*r - 7*r + 6. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:19 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1052.3 + 1052.6. Which is the third smallest value? (a) n (b) 9 (c) 2\/9 (d) -0.05 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10905656?\nAnswer: 2, 1363207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47412\/(-2195))\/(4\/(-60)*-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 9*u - 57, 16*w - 45 = 11*w - 5*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-1 + 1 - k**4) + 2*k**4 + 3 - 3.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1010*s**4 + 169*s**4 + 226*s**2 + 139 - 228*s**2 wrt s?\nAnswer: 28296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r, 2*k + 0*r = -r - 61. Find the common denominator of k and (73\/12 + -2)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93.1958 - -93. Round d to three dps.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -6953569628.\nAnswer: -6953569628.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 8*m + 6. Let a(w) = 4*w**2 + 7*w + 5. Let u(t) = 2*a(t) - 3*s(t). Calculate the remainder when 31 is divided by u(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1843316711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/((-4)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is next in 20745, 20747, 20747, 20745, 20741, 20735, 20727?\nAnswer: 20717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 8. Let w be y(-19). Let r = -48 - w. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85542 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16248053 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4831754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-16)*(-344)\/903?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.73? (a) 3 (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.1. Let f = -0.38 - -0.08. Let d = 0.2 + f. Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11115459 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let r(o) = 0 + 0 - 163*o**2 + 137*o**2. What is r(l(u))?\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 52 = -5*r, 224*r + 55 = 222*r - 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(((-464)\/(-312))\/(-29)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -14. Which is the nearest to 1\/3? (a) s (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 5*j + 32, 3*j = -b - 8. Suppose -y - 5*s + 24 = 0, 0 = -6*y + 2*y - b*s + 176. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -33)\/((-2)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 88.9. Let u = h - -8. What is the third smallest value in u, -4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2160807 less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4277 divided by 7.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 204.9413ng?\nAnswer: 0.2049413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1376)\/172 + (31 - -61).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -2)**2 - 5*-2*sqrt(5)) + (sqrt(80))**2*-4 + sqrt(20)\/(sqrt(8)\/sqrt(2) + sqrt(4)).\nAnswer: -59*sqrt(5)\/2 + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:03 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -16168.6?\nAnswer: 80843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7904 is divided by 263.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4461\/8, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 35 + 33*o**2 + 4*o**2 to z*o + f*o**2 + x and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)**(20\/9)\/(s**(-1)\/(s*(s*s*s*s**(3\/7)*s*s)\/s)))**29 assuming s is positive.\nAnswer: s**(1305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 + k**2 + k + 5. Let f(a) be the first derivative of y(a). Suppose 0 = -3*z - 3*n, 0 = 6*z - 2*z + 5*n + 3. Give f(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -21*w**2 + w - 12. Let g(y) = 5*y**2 + 3. Give 9*g(m) + 2*q(m).\nAnswer: 3*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 5.982?\nAnswer: 1.1964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12.348*-1.29\nAnswer: 15.92892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(-2 + -2*sqrt(1053) + 4))**2.\nAnswer: -432*sqrt(13) + 37924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53910*0.5\nAnswer: -26955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 161846 and -4.\nAnswer: -647384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/20 - -30) + 176\/(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -j + 9, 0 = 5*j + 5*v - 5 - 70. What is the remainder when 67 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 8*l. Let o(g) = -3*g + 913. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 950 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 95*l**2 - 60*l + 54. What is the tens digit of u(96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442410 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1624185 or 1624184?\nAnswer: 1624185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 43. Solve b = -3*u - u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8460, 8429, 8396, 8361?\n\"Answer: -h**2 - 28*h + 8489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -63*p**2 - 126*p. Let q(u) = 6*u. Determine 3*i(j) + 63*q(j).\nAnswer: -189*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2358 and 470604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112, 51, -50, -191, -372?\n\"Answer: -20*y**2 - y + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626 - 1275\/2. What is the common denominator of 47\/20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/56*(-7)\/(-28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193916\/101 + 1920. Is 0 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-72)\/(-56) + 2\/(-7). Suppose w = -13*f + 5*f + 2792. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0821*1.\nAnswer: -0.0821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144712?\nAnswer: 2, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, -4 in decreasing order.\nAnswer: 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22458 (base 13) to base 10\nAnswer: -62265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + (-16)\/(256\/40)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 684?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 2796647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**2 + 5*d - 7. Let a be r(-6). Let s = 55 + a. What is s rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:29 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from wwuuwww?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2 - 3*i**2 + i**2 + i**2 - 3 + 16*i. Let v = 34 + -21. Calculate the remainder when h(13) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/(u\/((u**(2\/13)*u)\/u)))\/(u**11*u\/u**(3\/8)) assuming u is positive.\nAnswer: u**(-1193\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsap when four letters picked without replacement from {a: 1, i: 1, p: 1, d: 1, s: 2, f: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((2475\/(-44))\/(-3))\/(185\/296)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184049\/56 - 3287. Is -1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -6.7. Do s and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 + (-524)\/(-264)). Suppose p = 3*u + 6. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.4 (c) -5 (d) 8.6 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 19*s**2 + 7*s + 42. Let p be y(-4). Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 + 0 + 5*o + 50*o**3 - 51*o**3 + 3*o**2. Give h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 14*k**2 + 52*k - 68. Let d be h(17). Is d at least as big as -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:41 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 divided by 5?\nAnswer: 452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*3\/45*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 0.4. Let f = 0 - 0.2. Let t = -0.1 - f. Which is the closest to t? (a) 0.1 (b) u (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 - 7 = 0. Let o(d) = d + 9. Let h be o(-5). Sort 6, h, m.\nAnswer: m, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5956, 15790, 25624?\nAnswer: 35458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-1582360)\/175820 + 9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30*-2*2\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - -77. Suppose 0*f = -f + r. Suppose 0*g + 3*g = 2*y - 137, 3*y + g = f. Calculate the remainder when y is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.014608 - -5\nAnswer: -20.014608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/5 + 1566*o**4\/5 - 80364*o**3\/5 + 978696*o**2\/5 + 321408*o\/5 - 787968 = 0. What is o?\nAnswer: -570, -2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2602431.14 and 2.\nAnswer: -2602429.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 283973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 - 203 + 102 + 7*f)*(-2 + 3 - 5 + (-6 + 1 + 3)*(4 - 1 - 1)).\nAnswer: -56*f - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2251 + -2?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*j**3 + 693115*j + 693116*j - 1386231*j.\nAnswer: 546*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 7:45 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11335130 rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-6) - (-2)\/(-1). Suppose m = -2*a + 38. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2761)\/1506*(-7)\/(231\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.726 - 12.726. What is the second biggest value in 0.2, i, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + b**3 + 0*b**3 + (-4*b + 4*b - 2*b)*(0*b - b**2 + 0*b) + 0 + b**3 + 0 - b**3 - b**3 + 4*b**3 + 4*b**2 - 4*b**2 + b**3)*(3*b - 1 - 2 + 4).\nAnswer: 12*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -387*n**2 + 11307*n - 2431. Calculate g(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148 + -142. Suppose 2*g + 30 = -4*m + k*m, 4*m - 78 = -5*g. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 3301*h + 10893. Let q(j) = 236*j + 778. Let m(s) = 29*q(s) - 2*y(s). Differentiate m(r) wrt r.\nAnswer: 4*r + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105150*m**2 + 286872*m.\nAnswer: 210300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20251 (base 8) to base 9\nAnswer: -12420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1355 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + (3 + -2 - 0\/1). Suppose -v*j + 20*j + 10 = 0. Let z be (5 + j)*(-7)\/105. Which is the second smallest value? (a) -2 (b) z (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. What is the biggest value in -2\/11, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607024247?\nAnswer: 607024247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 17, m: 3}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98705, -197406, -296107, -394808?\nAnswer: -493509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1470) + sqrt(1470) + sqrt(1470)*-3 + sqrt(1470))\/(sqrt(10) - (sqrt(10) + (-3*sqrt(80))\/sqrt(8))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q + 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.03101?\nAnswer: -0.06202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (15 - 6) + 0 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -s + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-504)*35\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*u**6 + 51*u**6 - 8*u**2 - 2*u - 2*u**2 wrt u?\nAnswer: 4680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:57 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0, -45, -0.2, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.09, 0, -0.2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1919540 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 + -13)\/((-2)\/(-38)). Let u = n - -26. Suppose u*a - 48 = a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 45.24, 0.026?\nAnswer: 45.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 101*p - 411 = 0, -502*t + 498*t - 4*p - 12 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1792111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101111010 (base 2) to base 15.\nAnswer: 14d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04591 rounded to three decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*z + 270*z = 875. Let r be 2\/((4\/(-9))\/(-2)). Sort 3, z, r, 4.\nAnswer: 3, 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, e: 2, z: 2, d: 4, r: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j + 12. Let k(z) = -15*z + 21. Determine 5*a(w) - 3*k(w).\nAnswer: 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 13)*(-6 + 5) + 8339 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 87?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 12 + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126449*k - 166443*k + 119644*k - 91489*k.\nAnswer: -264737*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*y**3 - 3*y + 2*y**2 + 34*y**3 - 81*y**3 - y + 2*y - 282 in the form b*y**3 + r*y + a*y**2 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(0 - 1))\/(11\/(-22))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54216?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2225114 (base 7) in base 10?\nAnswer: -275489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 4 + 2 - 1 + (-6 + 4 + 1)*(-y + 3 - 3) - 2*y + y + 4*y to r*y + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -81, -4, 1, -29 in increasing order.\nAnswer: -81, -29, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8971 - 18635\/2. Let j = l - -373. Which is smaller: 28 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(405)*2 - (-4 + sqrt(35)\/(sqrt(7)*4)))*2)**2.\nAnswer: 2272*sqrt(5) + 25461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/2 - 6*z**3 - 139*z**2\/2 - 201*z - 180 = 0.\nAnswer: -3, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose 4*u - q*z - 140 = -u, u - 5*z = 49. Suppose 5*f - 2*g - u = 0, g + 24 = 3*f + 3*g. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(147) - (-1 + sqrt(147) + 0 - sqrt(147) - sqrt(147))**2) + -4*(-1 + sqrt(147)) + -2)*6.\nAnswer: -870 - 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2 + 28*t + 6. Let z be c(-13). Solve -2*v - n = z + 9, 3*n = -5*v - 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -534.86 - -252.703. Let p = 284.52 + -2.52. Let v = p + i. Round v to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o. Let t = -4 - o. Let q(n) be the second derivative of n**4\/12 + 7*n**3\/6 + 5*n**2\/2 - 27*n - 1. Calculate q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3715430 - 1?\nAnswer: 3715427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57997676 or 57997672?\nAnswer: 57997672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -430\/11, 0.3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g + 2. Let z(b) = 4*b - 15. Let r be z(5). Give q(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510047 - 5\nAnswer: 510042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19481945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*a**2 + 0*a**3 - 38*a**2 - 28*a**4 + 0*a**3 + 12*a**5 = 0. What is a?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12589031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 22*u + 0*u**2 - 27*u - 6. Let f be y(9). What is the third derivative of -n**2 + f*n**2 - 2*n**3 - 19*n**2 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 1.38. Which is the nearest to 0? (a) 2\/15 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llglilggllg. Give prob of sequence llig.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 314*z - 1. Let a(v) = 1564*v - 6. What is 2*a(m) - 11*t(m)?\nAnswer: -326*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**39\/(r**2\/r**2) assuming r is positive.\nAnswer: r**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625039000 rounded to the nearest 1000000?\nAnswer: -2625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 158904.\nAnswer: 794520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 3\/7, -0.02, 18, 3\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6972616 and 7968704?\nAnswer: 55780928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = 50*q, -6 + 9 = 3*q + m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -642004796 divided by 1564?\nAnswer: -410489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -780 - -785. Suppose 3*c + u*h - 20 = 0, 73 = 3*h + 61. Sort 4, 1, c in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, -473, -1898, -3721, -5936?\nAnswer: -8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 583.9 + -1718.9. What is the smallest value in 5, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4680)\/650*5\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9728252 by -1.\nAnswer: 9728252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n**3 + 2*n**2 - 1. Let x be d(-1). Let l be -1 - ((-1230)\/x - 1). Let i = -56 - l. Put i, 0.4, 0.3 in ascending order.\nAnswer: i, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157059?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/41854 and -6\/15895.\nAnswer: 39133490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 442\/55 - 84\/11. Let 0 + c*k**3 + 0*k - 2\/5*k**2 + 2\/5*k**4 - 2\/5*k**5 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127.8 + 127.9. Let d be -4*((-6)\/2 - -4). Let o be ((-56)\/(-12) + d)*18. Put x, -0.2, o, 5 in ascending order.\nAnswer: -0.2, x, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -0.06?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, -3, -21220 in decreasing order.\nAnswer: 429, -3, -21220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-8)\/(-504)). Let k be ((-2)\/7)\/(3\/f). Solve -2*x + 2*l - 8 = -3*l, -k*x + 10 = 3*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466438281?\nAnswer: 3, 128386603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 4\/9, -3, -4502\/3, -0.2 in decreasing order.\nAnswer: 4\/9, 2\/17, -0.2, -3, -4502\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2894\/35 - 576\/7. Suppose -5*z - 3*l + l + 5 = 0, 4 = 4*z + 4*l. Is z < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*r + 9 - 23 = 0, -3*r = -5*w + 43. Let s = w - 13. Is s\/(-6) - (-880)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/27)*(x\/(x*((x\/(x\/(x\/x**(1\/4))))\/x)\/x))\/x*x**(2\/29)\/x**(-15\/7) assuming x is positive.\nAnswer: x**(53161\/21924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -152.877, 42?\nAnswer: -152.877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17701694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -63. Let p = g - 12. Which is the biggest value? (a) p (b) -0.4 (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.9*-17410.\nAnswer: 346459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/38 and 139\/23478?\nAnswer: 446082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 6*i + 8. Let q be p(-7). Calculate the highest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35986751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2089440108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -191. What is the remainder when b is divided by (-28)\/(-6)*(-36)\/32*-4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*f = -662*f - 2*i + 37, 5*i = -4*f + 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 6. Let s(d) = -2*d - 7. Let o be ((-42)\/8)\/(-7)*8. Determine o*r(w) + 5*s(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 4*h, -5*h = 5*p - 2 - 13. Let w(b) be the second derivative of 17*b**5\/20 - b**2\/2 + b. Calculate the least common multiple of w(p) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 3*h**2 + 0*h**2 + (4 - 4 - 2*h)*(-3 + 2*h + 3) - 79*h + 151*h + 665*h**2 - 72*h + 538*h - 538*h - 4 + 3*h**2 as t*h**2 + c*h + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 23*a**2 + 25*a - 58. Let d be s(-13). Put d, 4, 3 in ascending order.\nAnswer: 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -150*c - 11088. What is the least common multiple of 1064 and j(-80)?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(3)*1))\/(sqrt(24)\/(sqrt(18)\/sqrt(6))) + -5*1*(sqrt(1452)*-2)**2.\nAnswer: -29040 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/114*1*(-3360)\/(-28).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - m = -100 - 46, 5*q - 5*m = -240. Let i = q - -83. Calculate the greatest common divisor of i and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 492672.\nAnswer: 20199552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 5*r + 3. Let n be w(-5). Let f = 6 + -2. Suppose h - 4*p - 68 = -n*h, -58 = -f*h - p. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032244332 (base 6) to base 14.\nAnswer: -167286c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11358 is divided by 3556?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 15*x + 18. Let l be f(14). Suppose -2*q = -40 + l. Suppose 0 = -2*k + 3*k, g = -q*k + 745. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -78.958801\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2038.7 - 2039. Which is the second biggest value? (a) h (b) 0.01 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x - 153. Let p be d(-20). Let s be -4 + (1218\/30)\/p. Factor 0 - 3\/5*j**4 + s*j**2 - 6\/5*j + 0*j**3.\nAnswer: -3*j*(j - 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -0.4 (c) 0.26156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3478 + 3255. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798\/(-304))\/(27\/9).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1410 divide 33362723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -22. Suppose -2*z = 2*i - w, -2*i - 6 = -3*z + 3. Suppose -g - 1333 = -5*v, 5*g - 1345 = -i*v - 5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r - 1\/3*r**2 + 0.\nAnswer: -r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 428.6*5051.\nAnswer: 2164858.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 f when four letters picked without replacement from {f: 2, u: 3, p: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 2*i**2 - 37*i - 29*i.\nAnswer: -2*i**2 - 61*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = -k - 4, -2*r + 3*k + 7 = 0. Suppose -2*b = r*v + 5 - 26, 2*v - 4*b = 18. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - s = 21, s = 2*j - 37 - 9. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -565, -1125, -1685, -2245?\nAnswer: -2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u + 119 = -93 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*j + 27 = 0, 5*q + 10*j = 12*j. Let i = -3\/2 - q. What is the nearest to 0 in -2\/7, i, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 3. Let h(z) = -z. Let q be h(r). Let l(w) = -w**2 - w + 3. Let j be l(0). Solve c - p = 3*p + 3, 0 = j*c + q*p - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*10\/20)\/((-5)\/(-30)). Let d(t) = -2*t. Let y(m) = 45*m. Give x*y(w) - 130*d(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/5416 and 29\/7036?\nAnswer: 9526744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + -5 + 2*-2*sqrt(396) + 3 + -2))**2 + -4.\nAnswer: 96*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -550 - -565. What is the remainder when 68 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.2 (b) 2\/3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 1 - (-6 - 2). Let h(w) = -7*w + d*w - 7*w. Let n(b) = 4*b. What is n(h(m))?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1829*k + 636*k - 2810*k + 526*k**2 - 2 - 5817*k**2 + 43*k wrt k.\nAnswer: -10582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 10 - 5. Let j be (-4)\/t + 33\/110. Let q = 1\/45 + 41\/180. Which is the closest to q? (a) -3\/4 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39287, 43165, 47043, 50921, 54799?\nAnswer: 58677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 3*l**5\/20 - l**4 - 17*l**3\/6 - l**2 + 7*l\/4 - 13. Factor w(p).\nAnswer: (p - 7)*(p + 1)**2*(3*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*g + 7, -65 = -5*u - 3*g - 70 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m + 149 + 239 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/114*18*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25267 (base 9) to base 7\nAnswer: 100351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -3\/14, 1, 7, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2448196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o - 165. What is w(14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 135*o - 133. Let d be v(1). Solve -b + l = -l - 4, -2 = d*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 606.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*o - 2 = 2, -x - 2*o = -26. Let v = 30 - x. What is the lowest common multiple of (12\/(-9))\/(2\/(-6)) and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: b\"What is the pth term of 4659365, 4659368, 4659371, 4659374, 4659377, 4659380?\n\"Answer: 3*p + 4659362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1014*d**3 - 220100*d + 220100*d)*((d + 2*d - 5*d)*(4 - 3 - 3) - 4*d + 3*d + 3*d) to q*d**3 + y*d**4 + j*d**2 + z + o*d and give y.\nAnswer: 6084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-33)*36\/24?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/21)\/(5\/(-30)). Which is the second smallest value? (a) 2 (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((100\/(-18))\/(1675\/(-2010)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 35*u + 570 = 0. Suppose u = -3*x - 90. Let y = x - -205. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b**3 - 18278288*b**2 - 6092772*b + 12185528 = 0 for b.\nAnswer: -1, 2\/3, 1523191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 2*r. Let n be f(-7). Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*b + 2*r, 1 = 3*b - r - 11. Suppose -b*n + z = -5049, n + 0*z = 2*z + 1017. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:13 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 698 by 3.\nAnswer: 698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7363584 is divided by 3308?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -64. Let k be (((-4)\/8 + 1)*c)\/1. Suppose k = l + 40 - 45. Calculate the lowest common multiple of 2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.2, -1556, -2\/7, 1\/3 in descending order.\nAnswer: 1\/3, -1\/7, -0.2, -2\/7, -1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8556 less than 5?\nAnswer: -8551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 44*v**3 + 2*v**2 + v - 4. Calculate the remainder when 159 is divided by x(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 + 1)\/(-8)*-2. Is i at most as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzwzzcczwzwacz. Give prob of picking 1 c, 2 w, and 1 a.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*a - 4*a - 1 = h + 6*h, 3*h = -a + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/12 - 2\/(-3). Let b = -1 - j. Find the third derivative of 0*t**4 - t**2 - t**5 + b*t**4 wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -5 + 0*h**3 + 0*h**4 + 0*h**5 - 1\/6*h**6 - h**2 + 0*h. Find the second derivative of z(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = 2*a, 386*a - 385*a - 10 = -5*r. Determine b so that 0*b + 24\/7*b**r + 20\/7*b**2 + 4\/7*b**4 + 0 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (521540088\/45 + (-4)\/10)*-3. Let w be -3*4\/(24\/l). Suppose 7*r - 145015331 = w. What is r rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.9114um in centimeters?\nAnswer: 0.04979114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b + -7?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636586.\nAnswer: 2, 71, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 + 5 = 0. Suppose -2*f + 3*w = -2, -4*f - z*w + 16 = -f. What is the smallest common multiple of 2 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:22 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, 0, -1, -5, -122, -3, -19 in descending order.\nAnswer: 0, -1, -3, -5, -19, -122, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -6*b + 109. Let d = b - 69. Suppose d*k = 3*x + 102, k + 3*x - 35 = 16. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515 - 344. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.955 + 6058845559?\nAnswer: 6058845629.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 76*g**2 + 19*g + 65. Determine k(38).\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15846*y + 640*y**3 - y**2 + 2*y**4 + 29 - 15846*y - 763*y**3 in the form r + k*y + v*y**3 + l*y**4 + z*y**2 and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10605092 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60125408 and 7515676?\nAnswer: 60125408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/42*(-2)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-187)\/(-132)*14\/119. Let n(t) = 7*t + 7. Let h be n(-8). What is the smallest value in j, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x - 3. Let n(t) = -35*t - 33497. Give n(j(o)).\nAnswer: -595*o - 33392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(112) + 0 + sqrt(112) + -2 + -4 + 0 + sqrt(112)*-2 + (sqrt(112) - sqrt(112)*2*-4))**2)*2.\nAnswer: -864*sqrt(7) + 18216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Let v(l) = -1230000*l - 90000. Let k(f) = f + 1. Let y(j) = 90000*k(j) + v(j). Let i be y(o). Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.431 + -3.431. Which is the closest to i? (a) -2 (b) -1 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) 178 (c) -282 (d) -0.4 (e) 2\/9 (f) 2\/13 (g) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, -12893, -35286, -66647, -106982, -156297, -214598, -281891?\nAnswer: -358182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1375 - -6873\/5. Which is the nearest to -2? (a) 0.08 (b) 2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.012, -1?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224342 (base 5) in base 3?\nAnswer: 1012112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**2 - 9*q**4 - 4*q**3 - 4 - 35*q**2 + 43*q**2 + 3*q as h + s*q**3 + l*q**2 + v*q**4 + m*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2\/5, -7, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069*o + 34203 = -1562*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v + 9*v - 16*v - 2074*v**3 + 2068*v**3.\nAnswer: -6*v**3 + 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u + 3*u - 6 - 49. Let k be d(0). Let s = 274\/5 + k. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -4\/5 (b) -2 (c) 0.3 (d) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 3) to base 6.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -326, -5, 4, -2, -228 in descending order.\nAnswer: 5, 4, -2, -5, -228, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0280221486 rounded to four dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*(i**(1\/7)\/i)\/i)\/i))\/(i\/(i*i**(2\/5)*i)))**(5\/4)\/((i*i*i\/((i**(-9)\/i)\/i))\/i**3)**(-1\/16) assuming i is positive.\nAnswer: i**(673\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 6)*(0 + -1). Let u(z) = -11*z - 2. What is the tens digit of u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1018177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*f - 41*f - 152. Sort f, 3, -4, -2 in decreasing order.\nAnswer: 3, -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13104 and 16432.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -140, -455, -1076, -2105, -3644, -5795?\n\"Answer: -17*u**3 + 8*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -902+-79971\nAnswer: -80873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/7)\/(12090\/(-14105))\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/7486 and -59\/18.\nAnswer: 67374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46436241, 46436218, 46436195, 46436172?\nAnswer: 46436149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u**2 + 9*u - 60 wrt u.\nAnswer: 10*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 6. Let o be q(5). Let s = -232463 - -232465. Solve -4 = -s*p - p - u, -5*p - u + o = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 11*i - 2. Let q be z(7). Let w = q - -131. What is the highest common factor of 48 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a + 270 - 1581 = 205*a - 69*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3 + (1 - 1 - 1)*(0 - 3 + 1) + 1 - 1 + 1 - 3 - 3 + 28)*(3*p + 0 + 0)*(-4 - 2*p + 4) + 4*p**2 - p**2 - p**2.\nAnswer: -130*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15 - (8 + -1) - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080273332.\nAnswer: 2, 270068333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90810737?\nAnswer: 79, 1149503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-0.2567\nAnswer: -0.020536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -183, -278, -389, -522, -683?\n\"Answer: -b**3 + b**2 - 81*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 3. Let r be v(-7). Let x(p) = -2*p**2 + 8*p - 16. Let l(u) = u**2 - 3*u + 5. Let c(d) = r*x(d) + 10*l(d). Solve c(q) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 6 = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 5 (c) 1 (d) 1.1 (e) 2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2695 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 21504.\nAnswer: 107520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(-10))*k**(-15)*k*k**14*k*k*k*k**22*k)**(-20) assuming k is positive.\nAnswer: k**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 0*f**4 + f**4)*(13 - 17 + 21 + (-1 - 2 + 1)*(2 + 0 - 1)).\nAnswer: 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5032.436 kilometers?\nAnswer: 5032436000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 3*l + 2*l**2 + 51*l + 9*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 11024110?\nAnswer: -11024033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76846)\/236027)\/(-4*35\/(-80))?\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose 5*s + 9 = -2*j, 3*j = -d*s + 4*j - 1. Is 15 a factor of (-1)\/s*(3 + 27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5150 - q**2 - 5*q**3 - 2*q**2 + 2*q**4 + 5149 + 0*q**4 to i*q + z + r*q**4 + t*q**2 + g*q**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/13 and 125\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(3*m + 3*m - 5*m) + 5*m - 2*m - 2*m + (4*m + m - 6*m)*(-56 - 27 - 6) - 1 - 2*m + 1 to the form v + x*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304133304.\nAnswer: 2, 3, 19, 666959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sejjijccsfs. Give prob of sequence sis.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 1.201?\nAnswer: 36.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -10032?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7440891, -7440901, -7440911, -7440921?\nAnswer: -7440931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Which is the third biggest value? (a) 1\/5 (b) -16 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4)**50)**(1\/2) assuming w is positive.\nAnswer: w**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/2 (b) -0.3 (c) 324 (d) -1\/6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b8667 - 11?\nAnswer: -8b8678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + s + 2 - 10 + 1 - 19.\nAnswer: 3*s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g. Calculate k(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose 3*y - 38 = -2*r - 3*r, j*y = -r + 62. Solve y = -5*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -3464565420?\nAnswer: 3464565419.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*k - 67, 4*c - 2*k + 13 = 5*c. Solve 5*a + 5*v = 5, 7*v + c = 3*a + 5*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 1. Let r(t) = 16*t - 27. Let i(q) = 4*c(q) - r(q). Let w(s) = 4*s - 8. Let h(g) = 3*i(g) + 8*w(g). What is the derivative of h(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2. Let a be y(2). Solve -4 = -2*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1228.24 and 32.\nAnswer: -39303.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*sqrt(63)\/(sqrt(27)\/sqrt(3) + sqrt(9)) - (-2 + (sqrt(7) + 0 + 1 + sqrt(7) - (sqrt(14)\/(sqrt(4)\/sqrt(2)) - sqrt(7)))))*6)**2.\nAnswer: 576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.202577 rounded to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/623 + -1280\/10591. Let p = -86 + 85.968. Let u = p + 0.432. What is the second biggest value in g, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2185 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*d = -53, -5*f + 57 = -d - d. Let z(y) = -y**3 + 12*y**2 + 11*y + 18. Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2824 = 6*d - 2684. What is the least common multiple of d and 6?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3130751.942 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2379*z - 4108*z + 1716*z. Let y(o) be the second derivative of -o**3\/3 + o. Give n(y(a)).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.1216 weeks to seconds.\nAnswer: 191795143.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 o when four letters picked without replacement from {m: 14, o: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115 + 5 + 0\/(-2). Suppose 100 = 4*x - s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/13, 9 in decreasing order.\nAnswer: 9, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 1254. Give q(11).\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 - -0.30808. Round n to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 184\/(-16). Let f = s - 1. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2925 = -5*t, 5*t - b = 1777 + 1148. Let s = t - 591. Let j(d) = 1 - 11*d**2 - d**3 - 7*d + 4*d**2 - 3. Give j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1212 and 76962?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 + 1292*c**2\/11 + 208658*c\/11.\nAnswer: 2*c*(c + 323)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110286377*j**3 + 4124341*j**2 + 37*j?\nAnswer: -661718262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 116 + 105 - 65*a**2 + 110 + 99.\nAnswer: -65*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.04927*29.9\nAnswer: 1.473173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -173 - 0.1352\nAnswer: -173.1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/31 + -41\/217. Which is the closest to 0.7? (a) -0.5 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-2 + 2 + 6)*(3*x**2 - x**2 + 3*x**2)*(-43 + 43 - 22*x)*(-2 + 2 - 5).\nAnswer: 3300*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.4, -3, -0.5, -13\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.822352 take away 224?\nAnswer: -422.822352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvmejvvmvvevee. Give prob of sequence ee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181192202 is divided by 15943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1418 - -944. Let x = h - -501. Calculate the highest common divisor of x and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + -111 + (-15 - 14).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8\/13)\/(a**(-6\/13)*a*a))\/((a\/(a\/(a**(-2\/35)\/a)))\/a*(a*a*a*(a*a*(((a*a\/a**(-17)*a*a)\/a)\/a*a)\/a)\/a*a*a)\/a*a) assuming a is positive.\nAnswer: a**(-11419\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (35 - 24 - 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52678.61 nanometers in centimeters?\nAnswer: 0.005267861","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*q - 5*d**3 - 1078*d**2*q + 2*d**2 + 8725*d*q + 204*q wrt d?\nAnswer: -6*d*q - 30*d - 2156*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 31*l + 677. Calculate t(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -593\/168455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 = j + 3*j. Suppose j - 152 = 4*w. Suppose -i + w = 4*u - 48, 0 = 3*u + 5*i - 53. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:34 PM?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2978554597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 3*i - 19. Suppose -l = 2*x - 12, 4*x + 31 = 5*l - 1. What are the prime factors of o(l)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = -g, -3*o = -4*g + 2*o + 54. What is the remainder when 65 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148714 - 2908 = 25*i - 6*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 6*z + 7. Let x(d) = -4*d**2 + 5*d + 8. Let l(w) = 3*s(w) - 2*x(w). Let j be l(8). Solve -4*t - 22 = 3*g, 0*g + g + j*t = -22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + 1. Let p(m) = -5*m**3 + 2*m**2 + 3. Let y(i) = p(i) + 2*v(i). Let k(s) = -4*s**3 + 3. Calculate -5*k(x) + 3*y(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -2756 - 109. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.776 + -3.0478. Round r to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**7\/70 + 6*c**6\/5 - 87*c**5\/50 - 3*c**4 + 59*c**3\/10 + 5135*c. Let z(k) = 0. Calculate k.\nAnswer: -1, 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 49\/3. Let k(m) = m**3 + 17*m**2 + 16*m + 3. Let h be k(-16). Let a = 1 - 2. What is the nearest to a in -0.5, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 47551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.6847 and 3?\nAnswer: -41.0541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3595 - -3545. What is the closest to -0.1 in r, -2, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*y - 7432 = -6800 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2399 + 2399. Let l = 26 - 26.1. Which is the nearest to q? (a) l (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397971 + -14469778. Let x = -2167749 - w. Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n)**7\/((n**(-2\/11)*n)\/(n**(-5)*n*n)) assuming n is positive.\nAnswer: n**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.196 and -136.9?\nAnswer: 137.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.4, 8\/11, -0.15, -10?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 + (5 - (11 + -20)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -39, -49, -59, -69?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -58b9 (base 12) to base 7\nAnswer: -40650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 170, 371, 698, 1193, 1898?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2001, -2051, -2101?\n\"Answer: -50*g - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 2.6. Let i = -5 - -7.4. Let s = z + i. Round s to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4930 + 24733\/5. Let r = d + -417\/20. What is the common denominator of r and 59\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + (-24)\/(-9). Find the second derivative of -2*d - 5*d**2 + d**2 + 4*d + 2*d**r wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -143\/3. Let v = 56 + -61. Which is the smallest value? (a) d (b) -3\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9250884 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/132 - 6459\/(-11). Let v = -593 + l. Let c(d) = -2*d - d - 3*d**2 + 3 + 2*d**2. Let m(u) = 12*u**2 + 34*u - 34. Give v*m(q) - 68*c(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16 = 3*x, -5*m + 4*m = 4*x - 17. Let z = 0 + x. Solve -3 = -z*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 1\/12, -2\/17, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2400, 2439, 2516, 2643, 2832, 3095, 3444?\nAnswer: 3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2014)\/(-380))\/53*(-4)\/(-18)*5\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*s = -9, 0 = 7*h - 12*h + 2*s - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 4*i**2 - 8*i + 5*i to w*i**2 + m*i + x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v + 15 - 15 - v - 2*v + v + v + v - 4*v + (-2*v + 0*v + 3*v)*(4 - 2 - 3) - 3*v + v + 0*v + 8*v + 5*v - 20*v + (1 - 2 - 1)*(1 - 1 + v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayy. Give prob of sequence yay.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50707, 405713, 1369325, 3245845, 6339575?\nAnswer: 10954817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 11. Let q be i(0). Let s = q + 35. What is the remainder when s is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2396536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -26. Suppose -v*t + 3*t = -14. Calculate the remainder when 55 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + ((sqrt(336)*2 + sqrt(336))*4 - sqrt(336)))\/(sqrt(54)*4))\/((sqrt(200)*-2 - sqrt(200))*-2*-6).\nAnswer: -sqrt(7)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/15 + (0 - (-16)\/6). Suppose 3*i = 0, -3*y + u*i = -2*y - 6. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(0 - (4 - 2)). Suppose 0*x - 6 = -v*x. Suppose -5*r - 19 = -p, -32 = -4*p + x*r + 8. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050483 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7971, 7937, 7873, 7773, 7631?\nAnswer: 7441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 10. Let d be h(-11). Let s be 2\/(-9) - (-16)\/(-9). Let v be (0*(-3)\/(-6))\/s. Sort 4, d, v.\nAnswer: d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39713, -39747, -39791, -39845, -39909, -39983, -40067?\nAnswer: -40161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*g**3*k*l**3 - 19*g**3*k + 43*k*l**3 - k*l**2 - l wrt g.\nAnswer: -267*g**2*k*l**3 - 57*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41387409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806728061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 20*u**2 + 3*u - 4. Suppose 0 = -3*j + 4*m - 11, 0*m + 16 = -4*j + 4*m. Let t be q(j). What is the highest common divisor of 74 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840 at least 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4136*d**2 - 63*d - 12*d - 4128*d**2.\nAnswer: 8*d**2 - 75*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168756 and 20664.\nAnswer: 1012536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -73*l - 217. Let v be k(-3). Suppose -2*r + 20 = 4*c, -v*c - 10*r + 2 = -13*r. Solve 0 = c*s - 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 631.49\nAnswer: -634.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18807*h - 3451*h - 4931*h.\nAnswer: -27189*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-5 - 40) - (-377)\/42*-1?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 6*w + 5. Let m be k(-4). Let h be (0 + 5)*(-26)\/5. Let p = m - h. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8180 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - z - 174 = 0, 2*b - 3*z - 68 + 1 = 0. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8504 is divided by 529.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 81b?\nAnswer: 81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*m + 4 - 20 = 0, 2*i - 8 = 5*m. Let b = i + -1. Let x(y) = -4*y**2 - y**2 + b*y**2. Let c(g) = 2*g. Calculate x(c(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*m - d, -3*d = -3*m + 34 - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.6 - -18. What is the nearest to 0 in k, 7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*s + 40, 5*x - 3*s + 0 = -8. Let l = -21559 + 21560. Which is the nearest to -1? (a) l (b) 2\/7 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 37.00000025. Round l to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 250 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and (-42)\/(-77) - (4 - (-1845)\/(-550)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 28 - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 160?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -934 - -1750. Calculate the least common multiple of i and 33.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 1:56 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3333761*x + 4. Let s(b) = b. What is t(s(v))?\nAnswer: -3333761*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 7*c**4 + c**4)*(0 - 3 + 1)*(-6*c + c + 3*c) + (-2*c + 3 - 3)*(0*c**4 - 4*c**4 + 6*c**4).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**2 - 320*l - 1587. What is h(-5)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -79418\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-672))\/((-2)\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10)\/((-9)\/18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-140))\/((-10)\/((-240)\/66)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggg when four letters picked without replacement from vgggvggggg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15186.435 microseconds to minutes.\nAnswer: 0.00025310725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**31\/d**(5\/9)*(d**(-1\/2))**(2\/55) assuming d is positive.\nAnswer: d**(15061\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15592 is divided by 13744?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g. Suppose 619 - 36 = 611*k - 1250. Let d be 4 - 0 - (1 - -1). Solve -3*f + 4 = o, -d*f + g*f - 1 = -k*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/90*5 + -3\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.966 - 0.034. Let t(x) = -x**3 + 34*x**2 - 2*x + 69. Let y be t(34). Let f = -8 + 3. Which is the second smallest value? (a) p (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {k: 2, f: 8, z: 1, d: 9}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 3, -175, -12 in ascending order.\nAnswer: -175, -12, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -214, -475, -842, -1315?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 157 + 48)*(v - 5*v - v).\nAnswer: 380*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-45 - -43) - (1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275267951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1400))\/(sqrt(20)\/(sqrt(30)\/sqrt(3))).\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468452 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: Divide -10 by -442.\nAnswer: 5\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44 rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257828 by -1499.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49891222?\nAnswer: 2, 24945611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 21*i - 34. Let f(z) = 7*z**2 + 61*z - 157. Let r be f(-11). Give o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 3*b - 2. Calculate s(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 4, l: 3, q: 3, f: 1, a: 2, e: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 168*z + 7. Let u(w) = 2688*w + 112. Let i(q) = 63*r(q) - 4*u(q). Is 12 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 235165*p**2\/3 + 13840799968*p\/3 - 593850653932.\nAnswer: (p - 117518)**2*(p - 129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 12) in base 7?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*((sqrt(504) - sqrt(504)*1) + sqrt(504)))\/sqrt(8))\/(sqrt(9) + sqrt(9) + sqrt(729)*1 - (-2*sqrt(99))\/sqrt(11)))**2.\nAnswer: 28\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 55260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n + 3*h = 12, -4*n = h - 15. Suppose 2*v - 11 = -z, 4 = v - 0*v - z. Suppose 3*o + w = v + n, -13 = -5*o - 2*w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, -1\/4, 0.77, 2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27*i - 72. Calculate t(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) + (-500)\/99. Let l = y + 450\/77. Factor 0 + 16\/7*n**4 + l*n**2 + 0*n - 2*n**3 - 6\/7*n**5.\nAnswer: -2*n**2*(n - 1)**2*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*-6)\/(-6) - 8 - 5. Let c(n) = -26*n**3 - 20*n**2 - 9*n - 38. Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4231465 and 0.4?\nAnswer: 1692586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/2 + 3*x**2 - 4*x. Let k be j(-3). Let u = 0.1 + 0.2. Put u, k, -0.4 in increasing order.\nAnswer: k, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*(d*d**5)\/d)*d)\/((d*(d**(-2)\/d)\/d)\/d)*d*d**1*d*d*d*d**(-3)\/d*d**(-2\/3)\/d**38 assuming d is positive.\nAnswer: d**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1865*j + 1243\/2 + 3\/2*j**2 = 0. What is j?\nAnswer: -1243, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/9 - 2936*u**2\/9 - 358190*u\/3 + 240100 = 0.\nAnswer: -735, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9887 - 2ab?\nAnswer: -9b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0 - 28*y + 2*y**2 - y**2 - 3*y**2 to u*y + g*y**2 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241.03 + -242. Let d = -18129678.9700053 - -18129678. Let p = g - d. What is p rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5*s = 2925, -971 = -p - p - 3*s. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + t = 0, 2*c - 8 = 3*c - 5*t. Let k = 14 + c. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/(v**23\/v)))\/v)**(4\/11))**(-14) assuming v is positive.\nAnswer: v**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30798 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*((-144)\/528)\/((-36)\/1518)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187976, 376042, 564108, 752174, 940240, 1128306?\nAnswer: 1316372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1645354884 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)\/((-2)\/(-6)). Suppose -n + s = -6. Let u = -1436 - -1439. Solve 0 = u*g - 5*t - 11, -4*g - t + n = -2*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:46 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*o = 2, -2*f = -f - o - 1. Let q = -2 + f. Let g = q - 0. Solve 0*a - g*i = -2*a + 10, -2*i = 4*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + j - 3*z = -5, -5*j + 4*z = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -573 (b) 0.1 (c) 0.44 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 127\/52408?\nAnswer: 127\/52408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21061, -40404, -59747, -79090, -98433, -117776?\nAnswer: -137119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*o = -306, 0 = -0*o + 3*o - 9. Let a = 17 + x. Let c = a - -92. Solve -c - 6 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 8*r + 34 = 0. Let l(z) = 1250*z**3 + z**2 + 3*z - 3. Is l(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -4*l**2 - l - 19. Determine g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 1822. Let g(r) = 2*r**2. Give h(g(i)).\nAnswer: -10*i**2 + 1822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8080 is divided by 7277.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112222 (base 3) to base 13.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.646429812 and 0.031.\nAnswer: -5.615429812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26423485.\nAnswer: 5, 11, 480427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 20*v**2 + 189*v - 1188. Let f(b) = 21*b**3 - 81*b**2 - 756*b + 4758. Let r(y) = -2*f(y) - 9*u(y). Factor r(a).\nAnswer: 3*(a - 7)**2*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94136 is divided by 46824?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16509061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4480677, 4480674, 4480673, 4480674, 4480677, 4480682?\nAnswer: 4480689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 5*p. Let n(g) = g**2 - g - 1. Let a(v) = -3*v**2 + 2*v - 2. Let m(w) = -a(w) + 2*n(w). Give -4*h(k) + 5*m(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -122*d. Suppose -496 = 36*n - 52*n. Calculate the remainder when s(-1) is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3607 and -4?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(-2*s + 2*s + 5*s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 12*k - 135. Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*q*x**3*y - 11*q*x + 3*q*y**2 + 8*x**3*y**2 + 13*x*y**2 wrt y.\nAnswer: 6*q + 16*x**3 + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-216) - (-298)\/(-378)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011001011111 (base 2) to base 5.\nAnswer: -10133201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-36) - (-22)\/(-12). Let x(j) be the first derivative of 0*j + 3 + 0*j**3 + 0*j**2 - 1\/5*j**5 + 0*j**4 + l*j**6. Factor x(r).\nAnswer: r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600863 + 533315 - 2344*m + 2*m**2 - 1788*m = 0. What is m?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = -3*j + 843. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*c**2*w*x**3 + 22*c**2*x**3 - c*w*x + 46*w*x**3 + 24*w*x**2 wrt c?\nAnswer: -46*c*w*x**3 + 44*c*x**3 - w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/2 - 393*k**2\/2 + 13065*k\/2 - 12675\/2 = 0. Calculate k.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 5\/2, 2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = o + 2759, -4*o - 2756 = -15*x + 11*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a2910 + -280?\nAnswer: 2a2640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5537436669 to the power of 1\/2, to the nearest integer?\nAnswer: 74414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360162?\nAnswer: 2, 680081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/27*-1)\/(((-12)\/(-112))\/(90\/80))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332220 (base 4) to base 2.\nAnswer: -111110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7)\/((j**(4\/25)*j)\/j))\/((j\/(j\/(j*j**(-7)*j)))\/((j\/(j*j**(12\/13)))\/j)) assuming j is positive.\nAnswer: j**(7936\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -20\/3*x**3 - 11*x**4 + 1\/2*x**2 + 89 + 0*x. Find the third derivative of n(t) wrt t.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*h - 308. Let p = h + 255\/4. Which is the biggest value? (a) -1 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k + 5*n + 1, 0 = -3*k - 156*n + 154*n - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0324 and -27.4196849.\nAnswer: -27.4520849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/2)\/3*-2. Suppose 3 = -x - 0, -4*s = 3*x - l. Solve 4*u - 7*i + 4*i - 5 = 0, -s*i = -2*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.995 rounded to one dp?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**7\/2520 + h**6\/90 + 3*h**4\/4 + 34*h. Let f(n) be the third derivative of q(n). Let c be f(7). Solve -x + c = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {k: 2, t: 6, r: 2, z: 8}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzdz when four letters picked without replacement from dddzdzddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6889662 microseconds in minutes?\nAnswer: 0.00000001148277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1705)\/(-1265)*44\/341.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1662*g + 86424. Give n(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6658.09067 to the nearest 100.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 + -162. Let c = s + -78. Suppose 5*l = i + 784, -3*i + i = -c*l + 312. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5737*r - 79441 = 1064*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 2, -89 in increasing order.\nAnswer: -89, -21, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8) + -4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231200 (base 5) to base 7.\nAnswer: 33125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) + (-30)\/7. Is 298\/((-3)\/(6\/s)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*(0 + sqrt(1620) + (-1 + sqrt(1280) - sqrt(20)))*-1)**2 + -4) + 3.\nAnswer: -553053 + 6912*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + sqrt(187) + 1*sqrt(187)*1)\/((-2*sqrt(88))\/sqrt(8)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 12561?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/20)\/(19\/(-1596)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1935 divide 1172772683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggag. Give prob of sequence ggag.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 26 = -5*h. Suppose 0 = -o + 2*j, 5*o = 2*j - 5*j + h. Suppose 4*a + o*m - 60 = 0, -a - m + 10 = -5*m. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*w - 4*k, 4*k - 8 = 4*w - 64. What is the remainder when 133 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.1 (b) -0.5 (c) 0.2 (d) 541\/38 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 - 32*g**3 + 60*g**2 + 16*g - 80 = 0. What is g?\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 11*m**2 - 4*m + 29. Calculate s(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -395*b - 298*b + 473*b + 3960 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 8*t + 72 = 2*l, -5*l = 4*t - 216. Suppose 26*d = 27*d + 3*c - 14, 0 = 2*d + 2*c - l. Which is smaller: d or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:25 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4\/3*t**2 + 0 + 28\/3*t = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-2 - -4 - 1). Suppose -3*q + z*q - 24 = 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: Express 69*g - 18*g**2 - 69*g in the form x*g**2 + v*g + c and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkjkyjkyykjkkkkkyk. What is prob of picking 2 k?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**3 - 16*p**2 - 6*p + 4. Let y(o) = 7*o**3 + 16*o**2 + 7*o - 5. Give 5*l(s) + 4*y(s).\nAnswer: -2*s**3 - 16*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180316 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 2824*y**2 + 11344*y - 11360.\nAnswer: -4*(y - 2)**2*(y + 710)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*n + 4*s - 3*s, 11 = -3*n - s. Let m(q) = -2*q - 6. Let i be m(n). Let r(v) = 9*v**i - 16*v**2 - 5*v**2. Let g(x) = -2*x. What is r(g(j))?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigiccii. Give prob of picking 1 c and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 12. Let p be q(-7). Suppose y = -p*z + 63, 0 = 4*z - 3*y - 83 + 25. What is the greatest common factor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/20 - 132\/(-15). Let h(n) = -n**3 - 5*n**2 - 6*n - 6. Let b be h(-4). Suppose -b*g + 100 = 10. Calculate the highest common divisor of g and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 20*n**2 + 32*n + 7. Determine o(23).\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.71 take away 4705?\nAnswer: -4643.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-20)*1\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 4.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 118 - 87 - (13 + 5 + -5)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 17. Sort -4, o, -7 in ascending order.\nAnswer: -7, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let t(z) = 2187500*z. Let h(g) = -62500*s(g) + t(g). Let y be h(4). Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 26 = 4*x, 5*z - 2*x = 2 + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53288 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 11599188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a. Suppose a = -4*v - v + 80. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8129983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 2:06 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (534 - -22)*(-2 - (1 - 9))?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Let q be ((-2)\/(-1) - 0) + -2. Suppose -40 = -2*w - 4*a - 8, -4*w + 4*a + 64 = q. Solve -p*z - w = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2204439291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 2803 (c) -3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -20.5\nAnswer: -102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:02 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2567544 and 60?\nAnswer: 12837720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94618099 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1045 * -0.1.\nAnswer: 0.01045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -119*y**2 - 37*y + 152. Let l be w(4). Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42549, 42522, 42471, 42390, 42273?\nAnswer: 42114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*5*(-21)\/210?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -160?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*-1 + sqrt(7) + 3 + -1 + sqrt(70)\/(sqrt(20)\/sqrt(2)) - ((sqrt(70) - (sqrt(70)*-3 + sqrt(70)) - sqrt(70))*-1)\/(sqrt(490) + 1*sqrt(490)).\nAnswer: sqrt(7)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-60) + (159\/(-1610) - 54\/621)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39015 and 54315.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 58. Let j be 8 + (y - 6) + -1. Sort -4, 0, j in descending order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.262952 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8.3. Let i = 0.53 - -0.07. Let h = n - i. Which is the closest to 2\/3? (a) h (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 0, -7 = -3*g + l - 3*l. Which is the closest to 1? (a) -2 (b) 2\/3 (c) g (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/4 - 7*w**3\/3 + 3*w**2 - w + 2. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 31*j**2 + 43*j - 57. Let f(t) = -2*t**3 - 15*t**2 - 22*t + 28. Let l(p) = -3*a(p) - 5*f(p). List the prime factors of l(20).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(38)\/sqrt(2) + -2)**2 + -4.\nAnswer: -8*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2939, -2938, -2937, -2936, -2935?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-45) + 11306\/9 + 7.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/133 - 1696\/228. Let f = y - -79\/12. What is the smallest value in 14\/3, f, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b80378 (base 12) to base 11.\nAnswer: 1703544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 17*n + 0 + 31\/6*n**3 + 13\/2*n**2. Calculate the remainder when a(4) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 24 = 5*a, 3*a = -z + 12. Suppose -2*n = -5*m - 1249, -8*m + a*m = 4*n - 2543. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.01, -0.4, -5, 67.\nAnswer: -5, -0.4, -0.01, 6, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 18*t + 22. Suppose 0 = -25*y - 2*y + 135. Suppose -y*u - 70 = 2*l, 27*u - 2*l + 42 = 25*u. Give f(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 + 313. What is the nearest to 0.3 in j, 1, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 27*i - 30. Let c(r) = 7*r**2 + 82*r - 89. Let o(g) = -3*c(g) + 8*l(g). Factor o(h).\nAnswer: 3*(h - 9)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1320 - -1336. What is the greatest common divisor of t and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 97. Let o(c) = -c. Let y(l) = -26*l. Let a(g) = 12*o(g) - y(g). Calculate the remainder when b is divided by a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011001101001010 (base 2) to base 8.\nAnswer: -2731512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*h**2 + 10*h**3 - 408*h**2 - 3*h**3 - 152*h**2.\nAnswer: 7*h**3 - 657*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(-4 + 0 + 2 + (1 + 2 - 5)*(3 - 3 + 5)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13826613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6594428, -6594203, -6593978, -6593753, -6593528?\nAnswer: -6593303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 0)*(-b - b**4 + b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 70*z + 1278. Let b be p(0). Suppose 0 = -5*o - 4*t + 6444, -b = -o - 5*t - 6. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/((sqrt(7) + sqrt(28))*2))**2 - ((sqrt(612)*1)**2 - sqrt(612))*-4.\nAnswer: -24*sqrt(17) + 88145\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let i(d) = 4*d + 0*d + 2*d + d. Calculate i(v(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7361320?\nAnswer: 2, 5, 73, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79433037 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*x - 2545*x = -1500 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1399*a - 2 - 1334*a + 2155*a)*(-1 + 3 + 1).\nAnswer: -1734*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.1 (b) 11 (c) 3\/4 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 3*l**4 + l**4 + (54*l**4 + 26*l**4 + 4*l**4)*(0 + 0 - 1).\nAnswer: -85*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-20)*245\/(-105)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 92. Calculate the least common multiple of g and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407653.1 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 9*g + 7*g + 4*s = -52, 5*s = 4*g + 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i - 7. Let k be d(-2). Which is smaller: k or 4\/259?\nAnswer: 4\/259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*o + 11066 = 845*o + 212*o + 41003 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, -5, -29, 6.\nAnswer: -29, -5, -4, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5.89. Let o = r - 3.39. Let m = o + 3.53. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 12) in base 4?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 4*j**2 - 2*j**2)*(-3*j**2 - 3*j**2 + 14*j**2) + 0*j**2 + 0*j**2 + 2*j**4.\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399\/5 + -4387\/55. Let y = 79\/660 - g. What is the nearest to 1 in -2, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 4*g - g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -4*sqrt(187)*2 - sqrt(187)) + -4*-2*sqrt(187))\/((sqrt(22) + (sqrt(220)*1)\/sqrt(10))\/((2*sqrt(14))\/sqrt(7) + sqrt(2))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*6*1 + 1.\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 2. Let l(w) = 4*w + 2. Let v(r) = 6*l(r) - 5*o(r). What is the remainder when 27 is divided by v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5710809241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100111011 + -1010001010101?\nAnswer: 1011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3225*o + 152 - 125 + 542 + 3223*o. Let s(m) = -m**2. Calculate f(s(p)).\nAnswer: 2*p**2 + 569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16098713573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 255 = -95 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.7 + -7. Which is the smallest value? (a) q (b) 2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 72 + 72 = 0. Suppose -n + s = n. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5.7. Let j = 2.7 + v. Let b = 0.03 - 0.53. Put j, b, -0.1 in ascending order.\nAnswer: b, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(5) - sqrt(180)) - sqrt(12))\/((sqrt(42)\/sqrt(7) + sqrt(6))*-2 + sqrt(6) + sqrt(6)))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 63 = -4*q, -4*q + 105 = 2*v + 3*v. What is the remainder when 27 + (2\/(-2))\/1 is divided by (-8 - (-175)\/v)*18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, i: 13}. What is prob of sequence bi?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20640 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:37 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + 20. Let f = 114 - m. Solve c - 2*i + 5 = 0, 2*c + 11 = -3*c + f*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473380 is divided by 157772?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112766480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-673)\/(-5) + 2\/5. Suppose -2*o = -3*o + 7. Let z be (-4 - -5) + 2*o. Calculate the greatest common factor of z and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2*w**3\/3 - 2*w**2 + 5*w + 4. Let h(s) be the first derivative of m(s). Find the first derivative of h(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5325, -5324, -5323, -5322?\nAnswer: -5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 4*d - 4*d in the form x + a*d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114623359*p**6 + 920440*p**2 - 52*p wrt p.\nAnswer: 13754803080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -2*z - 31*u + 22*u + 3 + 4, -5*z + 24 = -4*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 13 - 5. Let d be (0 + 2)\/(0 - (-2 - -1)). Solve 2*a = h + 8, -a - i*h - 7 = -d*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from {p: 10, w: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqaxbxoaxbibqboxx. Give prob of picking 1 x and 3 b.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 6*w - 38*w**2 + 19*w**2 - 12 + 15*w**2 - 2. Calculate the smallest common multiple of 12 and d(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323188901644\/41452841235 + 1\/92425510. Let x = z - -11\/299. Find the common denominator of -40\/9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -893\/168103 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-58)*7*(-2)\/(-6))\/((-17)\/153).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 + 460*a**2 - 27*a**2 + 207*a**2 in the form k*a**2 + f*a + i and give k.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 49*b - 475. Let k be x(-14). Solve -5*w - p - 17 = 0, k - 2 = -3*w - 2*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 3. Let u be (-8)\/32 - 142\/72. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245868469 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*k - 5 = -26, 5*k = -3*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.02 - -1.72. Let l = 2.3 + q. What is the closest to 1\/3 in -1, 1\/11, l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2374974 and 3?\nAnswer: 0.7124922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -28091483?\nAnswer: -28091479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.174863 + -0.038537. Let k = -102.8 - -112. Let g = x + k. Round g to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-9))\/((-4)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -2 - 40) + 2 + (2 - -5)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + 5.2. Which is the second biggest value? (a) -1 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34205454 (base 7) to base 13.\nAnswer: -802c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -9 + 12 + 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 10, -o - 2*i = -3*o + 12. Let j be (-9)\/36 + 171\/252. Is o smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5770 = 1303*l + 22660 + 5448 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/7 - 4715694*b**4\/7 + 2779709448438*b**3\/7 + 13898650987630*b**2\/7 + 1191320217456*b - 3573942463224 = 0.\nAnswer: -3, 1, 1178926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1231341 + 4?\nAnswer: 1231400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3806260 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 0*m**2)*((3 - 3 - 1)*(2 - 1 + 1) + (-3 - 1 + 3)*(4 - 2 + 0) + 10 - 2 + 15 - 1 + 1 - 1)*(-4*m - 34*m + 10*m).\nAnswer: 504*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3, -16 in decreasing order.\nAnswer: 4, 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061326 is divided by 21226?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(6 - 6 + 4 + 2*a).\nAnswer: -4*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 - 11*q**2 + 56*q + 25. Is p(72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3447 is divided by 824.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -82 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - -46 - (-13 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4753 and -17.9?\nAnswer: 4770.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/5 + 558*y**4\/5 - 51856*y**3\/5 + 2017624*y**2\/5 - 31742592*y\/5 + 170874368\/5 = 0. What is y?\nAnswer: 14, 56, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 8*r**3\/3 - 11*r**2 - 9*r + 832. What is d(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -2. Let u be 3\/(-7)*j\/(-18). Let d = 4 - 7. What is the closest to -2 in u, 2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 31, -2, -35, -62, -77?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 171*i**3 - 61*i**3 + 0*i.\nAnswer: 110*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l + 12 + 135 - 77 - 73.\nAnswer: -18*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i*m**2*o + 2*i*m**2 + 304*i*m + 5*i*o - 94*i wrt m?\nAnswer: -10*i*m*o + 4*i*m + 304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 3 - 3 + (-3 - 4 - 2)*(0*l - 5*l + 3*l) + (-4 + 4 + 10*l)*(-1 - 4 + 4).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1653*v**3 - 1944*v**3 - 326*v**3 - 4172*v**3.\nAnswer: -8095*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from {p: 4, y: 2, a: 2, l: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5169905 divided by 79537\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 8 = 0. Let p = 14 - y. Is (-746)\/(-14) + p\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350586433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjajljj. What is prob of sequence mj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - 4\/(-12). Let k = -0.212 - 64.788. Let s = k - -62. Which is the closest to -0.1? (a) s (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0 - 12*r + 4*r + 4 + 1. Is p(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 376.1583 days?\nAnswer: 32500077.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24588)\/(-15))\/6*15\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57602.4 to the nearest 1000.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.068, 5, 2887.\nAnswer: -0.1, 0.068, 5, 2887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487085634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38127843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 1:46 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18138624?\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58447, 58448, 58449, 58450, 58451, 58452?\n\"Answer: h + 58446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 2 - 3 - 29*o. Let h be 12\/3 + -1 + -1 + 280\/(-35). Is 33 a factor of a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 5 - 13*l + 2*l + 3*l**2 - 2*l - 3*l. Determine r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 5984985?\nAnswer: -8977477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/(1\/(-60)). What is the greatest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 - -147. What is the biggest value in p, -2\/11, -31?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 22 - 8 = -4*n, -2*n - 10 = -4*v. Suppose 2*r + h = -r + 35, -2*r + 46 = -v*h. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.8114cm in kilometers?\nAnswer: 0.004848114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22699980.\nAnswer: 2, 3, 5, 127, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.8 - 153. Let y = r + 12.6. Is -1\/3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 3. Let j(u) = 5849*u + 9. Give -j(k) + 3*r(k).\nAnswer: -5843*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427249816.\nAnswer: 2, 7, 199, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 422411443 (base 5) in base 14?\nAnswer: 33c8b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:28 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 7*h + 2. Let y be 2\/(-6) - 112\/(-21). Suppose -y = -d + 1. Determine a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -4, 24\/7, -15\/4, -16?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 102317, -26, 1, -15 in decreasing order.\nAnswer: 102317, 1, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 914 (c) -3\/434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110282 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 272? (a) -10 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 260314.9l?\nAnswer: 260314900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42483600 to the nearest one hundred thousand.\nAnswer: 42500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 5*g - 11. Calculate n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 102, -2, 0.4, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4037960*u**2 - 42*u - 2. Let s be p(-1). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156, -56, 64, 204, 364, 544?\n\"Answer: 10*g**2 + 70*g - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -512, -1.\nAnswer: -512, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0 - 9. Let j be (15\/h - -2) + 1. What is the third biggest value in 3, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 18. Let f(b) be the third derivative of -b**5\/60 + 5*b**4\/12 + b**3\/2 + 8*b**2. Give f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7) + 8 + 408\/(-119).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-4 + 1). Suppose 0 = 5*g + 10*r - 8*r - 26, -g - 5*r + 19 = 0. Suppose g*x - h*x = 0. What is the second biggest value in x, 3\/4, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 - 4*t**2 - 4*t + 5. What are the prime factors of m(4)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 216 = -960. Let d = -15 + a. What is the remainder when 114 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from kaakakaakkaak?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {d: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17)*-3)**2 + sqrt(68)\/(2*sqrt(4)).\nAnswer: -47*sqrt(17)\/2 + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-4) + 1\/(-72)*146 and 79\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 15 + (-4 - (-20 - (-1 - 9))). Solve -k = -6*z + 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 194*n**2 - 20*n + 17. Determine t(1).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**6\/135 - 323*f**5\/45 + 34991*f**4\/18 - 208012*f**3\/27 + 103684*f**2\/9 - 90*f - 13. Factor p(r).\nAnswer: 2*(r - 322)**2*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.11, -1, -110025, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/11 - 72612*t**2\/11 - 980944*t = 0. What is t?\nAnswer: -148, 0, 36454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 9, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/(m*m*m**(-3\/7)*m)))\/m)\/(m**(-9)*m*m))**23)**(-13) assuming m is positive.\nAnswer: m**(-17940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 + 14*h - 15. Give x(-6).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -13. Let l = 11.7 - o. Which is the second biggest value? (a) l (b) 2\/15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(25)\/(sqrt(5) - 3*(sqrt(5) - (sqrt(5)*-3 + sqrt(5)))) - (sqrt(800)*-1)\/sqrt(10)).\nAnswer: 155*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -8*s - 9. Let r(b) = 3*b**2 + b**2 + b - 3*b**2 + 0*b**2 + 4. Determine r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(10\/(-8)*(-768)\/960).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*4*(-3)\/42. What is the second smallest value in r, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-49)\/980*7\/9*2\/7\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10216*g - 173669. What is k(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47bb16 (base 13) in base 14?\nAnswer: -327848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2 + l - 9. What is z(3)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132573722 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.44531 millilitres in litres?\nAnswer: 0.02244531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75006409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 344 - 188. Suppose 357*g - 351*g = 3*k + 684, -2*g = 3*k - 252. Calculate the highest common factor of c and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*20\/(-2). What is the tens digit of (d\/25)\/(1\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 769. Suppose -l - 3*l - 929 = -5*q, -3*l + 5*q - h = 0. Is (-4)\/6 + l\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455547 is divided by 4846.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61052 - -306242\/5. Is m at least 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02823 - 0.028228633. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.1. Let l = 3.87 + 0.13. Which is the closest to -2\/3? (a) 1\/8 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10210557?\nAnswer: 3, 7, 17, 37, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 7*x - 18 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/19284680 and 83\/400.\nAnswer: 192846800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2708.\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(n**4 - 7*n**4 + n**4).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v + 38*v = -12. Let w be (0 - -1)\/(v\/6 + -1). Does 16 divide ((-22)\/(-33))\/(w\/(-381))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/235600 and 53\/282720.\nAnswer: 1413600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 47*k - 47*k - 10 + 47*k**2 + 19.\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from vccvc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + 23*k**2 - 784*k + 791*k.\nAnswer: 4*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*r - 298*r - 25550 = -125*r for r.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a day in seconds?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -4*m + 26. Solve -6*n = -m*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1068 - 0.6068. What is the biggest value in -2\/7, j, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + -1 + (4 - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 8064?\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2025 - -1887. Which is smaller: -139 or o?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-7 + 18 + 0)) + 16 + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 805591 less than -6?\nAnswer: -805597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -1. Suppose -4*l + 12 = 0, 3 = -2*q + l + 2*l. Which is the second smallest value? (a) z (b) -0.06 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 5. Calculate the least common multiple of ((-1)\/(-2))\/(k\/(-464)) - -4 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 11*t**2 + 10*t + 6. Let j be y(-10). Suppose 18*h - j = 16*h. Suppose -m - h*s = -213, 2*s = 5*m - 596 - 401. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 - (1 + (-2 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -25. What is the remainder when f is divided by (-4 - (-18 + 5)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 22*l**2 + 18*l + 6. What is the tens digit of j(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 16*c + 10. Let g(o) = 3*o**2 - 18*o + 11. Let j(w) = 6*g(w) - 7*u(w). Let l(m) = 2*m - 3*m + m**2 + 1 + 0*m. What is -j(t) - 4*l(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**3 - 6*c**2 + 207*c + 430. What is a(-2)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 576.84, 3\/58, 2?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from ooogooggoogooogooooo?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/242 and 40\/143?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 - m + 2. Let g be u(1). Let l(w) = -w**2 - 9*w + 9. Let f be l(g). Let z = f - 13. What is the greatest common factor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022 (base 6) to base 13.\nAnswer: 3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.78 + -2.22. Let x = -18 + 18.09. Sort 1, x, a in increasing order.\nAnswer: a, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 12*t - 2. Let b(p) be the third derivative of -p**5\/30 - 23*p**4\/24 - p**3\/2 + 20*p**2. Let n(i) = -11*a(i) + 6*b(i). Calculate n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 22. Let l be s(0). Let f = l + -10. Suppose -3*m + 0*m + 6 = 0. Solve 3*n = k + m*k - f, 0 = -2*k + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 2*i**2 - 2*i - 3. Let w be c(-2). Let z = w - 1. Suppose -2*s - l + 28 = 0, s - 3*l = 2*s - z. Solve b + h - 9 = -3*b, b - 3*h = s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.713777 + 5.\nAnswer: 6.713777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/88*(-216)\/(-162).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 108, 0.2, -0.1, -41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let n = -5 - -4.6. Suppose -3*j = 0, 4*k - 2*j + 2 = 3*k. What is the closest to t in k, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 487 - 6?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1148)\/287)\/(2\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k - 3. Let j be a(3). Suppose -b - 2 = -j. Sort -1, b, 4 in descending order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3795858, 3795875, 3795892, 3795909?\n\"Answer: 17*t + 3795841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 17. Let v(y) = -y**2 - 11*y - 12. Let r be v(c). Let u = r - -29. Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 0.401817169?\nAnswer: -0.001817169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/134 and 149\/18.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -24. Is -18 + 140 + (1 - r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/(f**9*f*f))**(1\/43)*((f\/(f*f**(7\/2)))\/f*f)\/f*f\/f**4*f\/(f**(-2\/7)\/f*f)*f*f**(-6\/5) assuming f is positive.\nAnswer: f**(-20567\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 + -120220020?\nAnswer: -120210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzzfmmfmcz. Give prob of sequence cf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 49*s**2 + 49*s - 2. Let u(w) = w**3 + 18*w**2 + 78*w + 22. Let n be u(-12). Calculate the remainder when p(n) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449502848.\nAnswer: 2, 3, 41, 30689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/18 - 86\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 58*o - 152 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -17*f. Calculate the remainder when 82 is divided by p(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - j**5 - j**5 + (2*j**4 - 4*j**4 + 6*j**4)*(0*j - 2*j + j) - j**5 - 3*j**2 + 3*j**2.\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302.623703 rounded to the nearest 10?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * -4\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2783469*f**2 - 7*f - 26446?\nAnswer: -5566938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 190?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 2630*m**2 + 40 + 83*m + 2632*m**2 - 38 to the form n + h*m + x*m**2 + a*m**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 11*z + 22. Solve 3*j = -1 - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -100 + 1 - 1. Let o = u + 200. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -241, -240?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 537223?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1726 and 44876?\nAnswer: 44876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9.18723975267 + 0.03\nAnswer: -9.15723975267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from ndmvomdvmwnvmv.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*v - 323 = -311, 0 = 2*w - v - 4. Solve b + w = 0, -18*f = -22*f + 3*b + 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5682385\/8 + 2808489\/4. Let o = m + 8164. Calculate the common denominator of o and -117\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(8))**2 + -2 - -2*(4 + -1 + sqrt(7)).\nAnswer: 2*sqrt(7) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*i = -10, 2*l = 6*i - i + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 39 + -9 + 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 + 25*n - 304. Calculate the remainder when 379 is divided by j(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 4*v + 1. Let w(i) = 4*i**2 - 5*i - 2. Give 6*n(d) + 5*w(d).\nAnswer: 2*d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.36934?\nAnswer: -0.36934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 58. Let a(c) be the third derivative of c**5\/30 - 113*c**2 + 2*c. What is g(a(x))?\nAnswer: 12*x**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 4. Let p be t(2). Let s(o) = -o**2 - o - 1. Let h(r) = 8*r**2 + 6*r + 6. Suppose -4*w + 60 = -2*f + 3*f, -5*f = -20. Calculate p*h(u) + w*s(u).\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)*a*a\/(a*a\/a**(-26)) assuming a is positive.\nAnswer: a**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 100 = 3*h. Suppose -h = -6*v - 1. Suppose -4*z + 13 = c, v*c = 2*z - c - 17. Solve -5 + 17 = z*y + 4*p, -5*p + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1316861 and 65975?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 0*m. Suppose -15 = -m*p + 3*u, 0*u = -5*p + 2*u + 10. Suppose -4*o - 2*n = -104, 3*o - n + 9 - 82 = p. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + y - 17 = 0, 0 = 5*w - 4*y + y - 9. Suppose -3*a - w = -12. Calculate the smallest common multiple of 4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21521 - -21502.763. Round f to 1 decimal place.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162168343?\nAnswer: 162168343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1103*l - 400*l - 4653*l.\nAnswer: -6156*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 579210.1 to the nearest one thousand.\nAnswer: 579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 14*h**2 + 4*h - 44. Determine n(-8).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6117000 to the nearest 100000.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-21)*(-343)\/196*(-2)\/3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 - 851 - 2*w + 16*w**2 + 12.\nAnswer: 2*w**2 - 2*w - 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4163 and 92.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30))\/((-80)\/200)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -122, -179, -238, -299, -362, -427?\n\"Answer: -m**2 - 52*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/17)))\/(k*k**(3\/25))*(k\/(k*k**22)*k)**27 assuming k is positive.\nAnswer: k**(-241426\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxf when three letters picked without replacement from {o: 3, c: 6, f: 3, x: 1, e: 1}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653279697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -687 + 702 - (1 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 y when four letters picked without replacement from {d: 2, x: 6, y: 5}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(112*i - 108*i + 4 + 2).\nAnswer: 4*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1 - (-3)\/(-2)). Does 11 divide ((-1)\/x)\/((-3)\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*i**4 + d**2*i**2 + 849*d**2 + 58*d*i**4 - d*i**2 wrt i?\nAnswer: -48*d**2*i + 1392*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.9 + 3.1. Let d = m + 15.24. Let n = -9 - d. What is n rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -948, -3\/4, -3 in descending order.\nAnswer: -3\/4, -3, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 4\/3 (c) 6 (d) 0.4 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 7*c**5\/30 - c**4\/3 - 97*c**3\/6 - 13*c**2. Is d(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 5. Let g be s(-3). Let b = 10 - 8. Solve -3*j - 13 = -g*k, -b*j - 13 = -2*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let n = 14 + -11. Let c(b) = -2*b. Calculate n*c(x) - 3*t(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/4626 and -69\/10.\nAnswer: 23130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.479 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26ef (base 16) in base 14?\nAnswer: 38bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 8*b + 9. Suppose 0 = h - 5*h - 28. Let w be m(h). What is the third derivative of -5*l**3 + 4*l**2 - l + l + l**w wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + q + 231 = 7*d, 0 = 5*d + 3*q - 1139. What is the remainder when d is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 92 - 181 + 91.\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-20))\/((-27)\/(-540))*2\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040 and 210?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 8*v**3 - 2*v**3 - 732*v + 1505*v - 773*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2)*j)\/((j\/j**(-1\/3))\/j*j))\/(j**2*j**(-4\/9)))**(-44) assuming j is positive.\nAnswer: j**(946\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:21 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 488\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264000 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -120.577. Let m = 0.223 - q. Which is the nearest to -2? (a) 4 (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (648522\/(-102940))\/((-3)\/(-40))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 6207736.\nAnswer: 68285096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 61*z + 28*z - 1 - 2*z**3 - 2*z**4 + 31*z to k + l*z**4 + b*z**3 + g*z**2 + x*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07724 + 2.07724. What is the second smallest value in -1, t, -4, -5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*m - 8, 4*m - 26 = -3*q + 3*m. Let i be 4\/(-14)*q\/(-13). Which is the second smallest value? (a) 2 (b) 0.1 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 6 = 0, 5*l = -4*j + 23. Suppose x + j = 7. Suppose 4 = x*r - 201. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 19. What is the third smallest value in -0.3, h, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323533 (base 6) in base 8?\nAnswer: 217321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 16 + 12)*(2*g + 3*g - 3*g).\nAnswer: 4*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*u - 102 = 0, 3*u - 426 - 440 + 1299 = -3*x + 505 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 1198.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 6, 7, 10?\n\"Answer: y**2 - 4*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let m be f(-3). Let y be ((0\/1)\/m)\/(-1). Let j be (9 + -3)\/((-15)\/(-5)). Solve j*c - 5*t - 31 = y, -t = c + c - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + m + 8. Let s(y) = y**2 - 35*y + 227. Let u be s(27). Let z(h) = 9*h**2 - 3*h - 15. Determine u*r(v) + 6*z(v).\nAnswer: -v**2 - 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 3*p = 14, -2*i - 32*p + 10*p + 18*p = -13*p + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-303 - -313) + -10 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, x: 9}. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/324 and -17\/73512?\nAnswer: 661608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1321*x**2 - 99*x**3 - 2*x + 1321*x**2 to the form t*x**3 + d*x**2 + p + j*x and give t.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277216475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 0 - 24*s + 10*s - 2.\nAnswer: -33*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2997411*w**2\/2 - 2997412*w - 2.\nAnswer: -(w + 2)*(2997411*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(1 + 1 - -2). Let m(x) = -5*x**2 - 2*x + x**3 + 0*x + 6*x. Give m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - (-17003)\/(-28). Let d be w\/7 - 8\/28. Is 18\/12 - d\/6 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 11. Let g be b(-4). Let h(n) = 5*n**2 - 4*n - 3. Is h(g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 4*o - 3. Give j(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 7*y + 40. Let p be y - (1 - -5) - 5. Suppose -2*k + j + 12 = -5*k, 3*k + 2*j + 15 = 0. Is k greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 - 4*b**3\/3 - 2*b**2 - 3*b - 10. What is y(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (-2*sqrt(1000) - sqrt(1000)))\/(sqrt(25)\/sqrt(45)) + 2 + 2*sqrt(242) + 2.\nAnswer: 4 + 115*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + ((-12)\/72 - (-762)\/(-72))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/132 and -111\/443810?\nAnswer: 29291460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/20 - 5*o**4\/24 + o**3\/6 + 2*o**2. Let b be -2 + (2 - 6*-1). Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 624157.7 milligrams?\nAnswer: 0.6241577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -1026.2.\nAnswer: -1128.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = 10*h - 4812 + 1081 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652156870 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -6, -25, -62, -123, -214, -341?\n\"Answer: -j**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000610723 to 5 dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4.98 (b) -0.3 (c) 12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - 7*s - 9. Let r = -11 + 5. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1280) - sqrt(1280))\/(-3*sqrt(90)) - -3*(-1*(sqrt(288) + 1) + -4))**2.\nAnswer: 2920*sqrt(2)\/3 + 188753\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*q + 665*q - 282636 = 6628*q for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32*f**2 + 4*f + 9. Let x(u) = -60*u**2 + 9*u + 18. Calculate -4*x(w) + 9*z(w).\nAnswer: -48*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-8)*(-564)\/(-15). Suppose -x = -3*i + 1529. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97721 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.185577 rounded to 1 dp?\nAnswer: -486.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/8)\/(u*u**(-3\/7))*(u**(3\/4))**(-20\/13) assuming u is positive.\nAnswer: u**(-1529\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/26*(-8)\/(-34). What is the second biggest value in 1\/2, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.62247ml in litres?\nAnswer: 0.03862247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12\/314879?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14206*t**4 + 16785.\nAnswer: -56824*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 2017592*g - 6052740.\nAnswer: -4*(g - 504395)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 696158 and 13706.\nAnswer: 53604166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 + n. Let a be v(-2). Let q(g) = -6*g + 2*g + a*g + 0*g. Let p be q(-3). Which is bigger: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 19. Suppose -3*i - 592000 = -0*t + z*t, -3*t - 4*i = 444000. Round t to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 8*x**2 - 2. Let h(w) = -8*w**3 + 3*w**2 - 2*w. Let q be h(1). Let o be r(q). Let a = 160 + o. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553 divided by -7571.\nAnswer: -553\/7571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -378 (base 9) to base 3.\nAnswer: -102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134333889*h**2*l**3 - 3*h*l**3 + 2*h*l**2 + h + 21*l**2 - 89335 wrt h.\nAnswer: 268667778*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5628040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 - 15. Let o(z) be the second derivative of -11*z**4\/12 + 7*z**2 - 9*z. Let q(m) = 4*d(m) + 5*o(m). Find the first derivative of q(n) wrt n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let g be j(0). Let k = g - -3. Calculate the remainder when 2\/7 - (-52)\/14 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 8*w - 2. Let t be q(-8). Let y = 19 - 20.3. Let s = 0.9 + y. Which is the closest to 0.1? (a) s (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 3182 = 31*j + 5*f, 2*f = -2*j + 1592. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-13)*y*y\/(y\/(((y\/y**(2\/19))\/y)\/y)*y)*((y*y*y*y*y**(-20\/3))\/y)\/(y**(1\/16)*y) assuming y is positive.\nAnswer: y**(7447\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*f - 2853 - 291, f + 4*n = 1060. Calculate the greatest common divisor of f and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22375, 44754, 67133, 89512, 111891?\n\"Answer: 22379*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -660, 0, -411, 5 in descending order.\nAnswer: 5, 0, -411, -660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-168)*93363\/(-110). Let f = 8\/385 - j. Calculate the common denominator of 27\/4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - 2*f + 2. Determine w(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, 117, 0, 8, 3 in ascending order.\nAnswer: -2, 0, 3, 8, 40, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-80\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -c93816 (base 14) to base 2\nAnswer: -11001111110011101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/3)\/z)*z)**(-18)\/(z*z*z**(2\/7))**36)**21 assuming z is positive.\nAnswer: z**(-2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2261 times 112\nAnswer: 253232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537 - 624 - 3986 = 103*r + 3226 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 2*-2*(-2)\/8. Suppose -3*c = -t*a + 568, 3*a + c - 426 = 5*c. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 13*m**2 - 16*m + 15. What is q(7)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66317955138.87 + -0.5.\nAnswer: 66317955138.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 62. Let o = 221 - 259. Let m = o - f. What are the prime factors of m?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1679 - 1678.9. What is the closest to j in -0.2, -2\/7, 5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - i - 2*i = 4, -4*q + 2*i + 24 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02768577479 rounded to 4 dps?\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 56*c - 150*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*t + 2*t + 32 = 0, 19 = -2*d - 5*t. Suppose -d*n = 5*a - 234, 2*a - 140 = -a - 2*n. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 14*p + 29. Suppose 0 = -5*x + 125 - 185. Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 40. Let p(f) = 2*f**2 + 66*f - 460. Let t(y) = -p(y) + 8*z(y). Factor t(h).\nAnswer: -2*(h - 10)*(h + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11369ab (base 13) in base 2?\nAnswer: 10100001101100111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9455300 to the power of 1\/2, to the nearest integer?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2660? (a) -1\/10 (b) 2 (c) 1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z = -100*z - 50190. Is -1435 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3951 - -0.3651. Let r = -3 - -4. Which is the fourth biggest value? (a) -2 (b) -0.4 (c) h (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 20*d + 486. Determine z(19).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let b(h) = 3*h**3 + 3*h**2 + 2*h + 1. Let n(f) = -f**3 + f**2 + f + 1. Let c(m) = j*b(m) + n(m). Determine c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 21*y + 821. Let h be v(26). Solve 0 = -2*n + 6*n, 0 = 5*b + 3*n - h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 287592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 295070632?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvvvvhkdkddvhdd. Give prob of picking 1 d, 2 v, and 1 h.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 + 1925 + -3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {p: 10, f: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 3. Let d = -7 - -15. Let x(g) = 1 - 4 + d + 13*g - 6*g. Let u(s) = 5*c(s) - 3*x(s). Let b(n) = 8*n. Determine b(u(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590520 is divided by 647630.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**2 + 1\/20*b**5 - 2*b + 0 + 0*b**3 + 1\/12*b**4. Find the third derivative of n(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 7 = f, -3*b = f - 8. Suppose 0 = v - 5*s - 37, -2*v = -0*v + 5*s + 1. Calculate the remainder when (0 - b)*(-34)\/3 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133073 + -1467295\/11. Let w = t + 6999\/22. What is the common denominator of (-3)\/44*(-742)\/21 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4365192475 to the nearest integer?\nAnswer: 66070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -2\/7 in decreasing order.\nAnswer: 2, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Let d be (5 - 2)\/((-6)\/w). Let q(u) = 2*u + 3. Let s be q(-3). Put d, s, -5 in decreasing order.\nAnswer: d, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-1)\/1)\/1. Let h = 1105 - 1095. Solve -3*l - 2*l + h = g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 6*r + 2*r - 2*r + r**2. Let p be q(3). Let b(g) = g**2 - g + 1. What are the prime factors of b(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001011011 (base 2) to base 8\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/(g**(-2\/9)\/g))\/((g*(g\/g**(4\/3))\/g)\/(g*(g\/((g*g\/g**19)\/g))\/g*g)) assuming g is positive.\nAnswer: g**(1006\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f + 3*f. Let t be 3 - ((0 - 4) + f). Let l be 1520\/798 + (-4)\/(-42). Solve l*q = t*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 145771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 72 = 2*g, -2*g - 5*i + 3*i + 72 = 0. Let f be (-119)\/(-9) - 8\/g. What is the highest common factor of f and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44921 + -0.05079. Which is the closest to -4? (a) h (b) 1.839 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19022873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2*p - 29*o**2 + 127*o*p - 2*p**2 + 79 wrt p.\nAnswer: 5*o**2 + 127*o - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -16. Let m(y) = 23*y - 81. What is the least common multiple of g and m(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 4.4. Let y = -10 + t. Let q = y - -13.7. Is 0 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/13 - 22*q**2\/13 + 4*q - 32\/13 = 0. What is q?\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 1597212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.23092 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24808 - -27951. What is the remainder when x is divided by 150?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49663899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -33 + 13. List the prime factors of ((-532)\/(-8) - i)\/(6\/20).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(68)\/sqrt(2))\/sqrt(2) + (sqrt(612) + 0 - sqrt(612)) + 2 + sqrt(612) + 2.\nAnswer: -4*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 3*m**3 - 6*m**3 - 2*m**4 - m**3 - 4*m**3 to the form a*m**4 + c*m + q*m**2 + j*m**3 + x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 198, 445, 804, 1281?\n\"Answer: h**3 + 47*h**2 - 7*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -1\/4, 613\/2, -119, -3, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7192, -361, -2 in decreasing order.\nAnswer: -2, -361, -7192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 36*n**3 - 70*n**3 + 7*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5584)\/(-10))\/(7\/6*(-800)\/(-7000))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + 15\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 5\/9 (c) -29 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o + 2*r, 4*o - 2*r - 1 = 1. Suppose 4*h - o*h - 140 = -4*f, f - 35 = 4*h. Let x = f + -28. What is the highest common factor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbbbbbbbbtb?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 8. Let k(s) = -61*s + 427. Let o be k(7). Give f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27457141*b**3 + 14553754*b?\nAnswer: 164742846*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 271, 635, 1145, 1801, 2603, 3551?\n\"Answer: 73*s**2 - s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 525b (base 14) to base 10\nAnswer: 14193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 - 5 + 5)*(2*f + 2*f - 3*f) + f**2 - 4*f**4 + 0*f**2 + 2*f**4.\nAnswer: -7*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Suppose -u*o - 145 = -7*o. Let g = 45 + o. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-170) - (-104)\/10. Let z be (l\/20)\/((-23)\/12 + 2). Which is the smallest value? (a) 0.4 (b) z (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:14 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = n - 3*n. Let b(l) = l**3 - 5*l**2 + 5*l - 3. What is b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 2. Determine i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 - 1 = -2*q, -2*q + 5*y + 11 = 0. Let w(a) be the first derivative of a**4\/4 - 4*a**3\/3 + a**2\/2 - 3*a - 2. Give w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 69, 25, 0, -94, -39, -4 in decreasing order.\nAnswer: 69, 25, 4, 0, -4, -39, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 35 = 15. Let z be (f\/(-15))\/((-1)\/(-9)). Let k = z - -9. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219273693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1227307 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/3 - 9*b**2 + 5*b. What is the tens digit of j(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(3))\/sqrt(2)*-5.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*-2*280\/560.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-2)\/(-5) - 144\/90. Let x = -10 + 14. Which is the second biggest value? (a) x (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201499318635 + 0.0454\nAnswer: -201499318634.9546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452001 is divided by 279.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 253 (base 9) to base 4\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4857.3534 - 4865.8. Round s to one dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*p = 5*w + 14, -19 = 5*w - 4*p. Suppose -2*b + 0*b + 6 = 0. Suppose -2*n - b*i + 1 - 6 = 0, -i = -2*n + 7. Sort -2, w, n in decreasing order.\nAnswer: n, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 272 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + 827. What is the highest common divisor of 130 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x**4 - 7*x**3 + 6*x**2 + 23. Let s(k) = -43*k**4 + 21*k**3 - 17*k**2 - 69. Let f(o) = 11*i(o) + 4*s(o). Find the third derivative of f(r) wrt r.\nAnswer: -432*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3293046336.\nAnswer: 2, 3, 17, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, u: 3}. Give prob of picking 2 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*g**2 + 2*g**4 - 5*g + 0*g + 6*g to the form x*g + s*g**2 + z*g**4 + t + o*g**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3\/2) - -180. Let f = c + -123. Is 4 - 2 - (4 - f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 18. Let k be p(-13). Solve 0 = 4*v - 13 + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 + 20\/42*114. Let s = q + -94. Let a = 48 + s. Which is greater: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = -v - 7*d, 4*v + 4*d = 12. Suppose -v*b + 5*x + 228 = 0, -b + 112 = -x - 2*x. Round b to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/6833 and 38\/313?\nAnswer: 2138729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 2 + 4 - 2*z**2 - 5 + 9*z**2. Let q(k) = 2*k**3 - k**2 + 0 + 0 - 1 + k. Let w be q(1). Calculate x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 2}. Give prob of sequence jww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 22*l**3 - 38*l**3 - 16*l**3.\nAnswer: -75*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*n + 181 = -40, n - 167 = -3*h. Let d = -9 + h. What is the remainder when d is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqwqqqqqqww. Give prob of picking 2 w and 1 q.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/67368808 and 76\/117?\nAnswer: 606319272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(2448) + (0 + sqrt(2448) + -3 - sqrt(2448)) + (sqrt(2448) - 4*(sqrt(2448) - -2*sqrt(2448))) + -6*sqrt(2448)*-2 + 0)**2*4.\nAnswer: -384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-120) - ((-232)\/84 - -2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123\/(-205)*(-2)\/(-8)*6.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 1 - -9 - -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 10. Let a(i) = i**2 - 7*i + 3. Let w be a(5). Let m be j(w). Let o = m + -6. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 753 divided by -348\nAnswer: -251\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + k - 24. Is b(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2200 (base 5) to base 11\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42315726*d**4 - 23618342*d**2 wrt d.\nAnswer: 1015577424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 424*a**3 + 4663*a**2 - 5*a + 54. Give m(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 2\/105*x**7 + 1\/168*x**8 - 1\/15*x**5 + 0 + 0*x + 0*x**6 + 2*x**2 - 1\/12*x**4 + 0*x**3. Factor s(b).\nAnswer: 2*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/90*(12\/6 + 2). Which is the nearest to -7? (a) 2 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -3*i + 5*m, -875 = -m - 885 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1510\/403977 + 765234451\/1936665738. Let q = 2\/799 - m. Let d = -449\/550 + 117\/25. Find the common denominator of d and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 7*s + 11. Let r(t) = t**2 - 3*t - 5. Let j = -6 + 12. Suppose -21 = -3*m + j. Suppose 0 + 8 = 2*p. Determine m*r(k) + p*u(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 9. Let d(t) = -3*t - 6. Let m(p) = 8*d(p) - 5*y(p). What is the units digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 141658340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189727 is divided by 1532.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - 11*w - w + 15*w**3 in the form z + j*w**3 + d*w + y*w**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**3 - 15*z**3 - 4*z**3 + 3*z**3.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323 + 326. Suppose 2*o = b - 3939, 3*b - 4893 = -m*o + 6942. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**3 - 3*k**2. Let w(y) be the second derivative of 31*y**5\/20 - 11*y**4\/12 - 4*y + 173. What is 22*j(x) - 6*w(x)?\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a316 + -455?\nAnswer: -a76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3212 (base 5) to base 9\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 1\/24*n**6 + 1\/8*n**2 + 0*n - 1 + 0*n**3 + 0*n**5 - 1\/8*n**4. Let p(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-3 + (5*-1*(2 + 1*sqrt(700) - sqrt(700)))**2 + -1).\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y - 4*v + 2446, 0 = -2*y + 3*v + 960. Suppose 0 = -3*q - 2*b + y - 1376, 2*q + 595 = -b. Let j be (-6)\/8 - 385\/q. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -13. Let b = o - 13. Solve b*l = 4*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 4:48 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-15 - (4 + -28) - (13 - 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)*a)**(1\/25)\/(a*a\/a**(-1\/2))**(-5\/3))**18 assuming a is positive.\nAnswer: a**(381\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(208)*-4 - (sqrt(208) - (sqrt(208) + -1 + -5)))**2.\nAnswer: -576*sqrt(13) + 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 143 = -5*a, 5*c - 2*a - 300 = 2*a. Suppose -119 = -2*z + 41. Suppose -4*h = 3*o - z, -2*o = -4*o - 4*h + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34021 + 66061 = -457*b - 492*b - 34390 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767946 = -18*i - 165324. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2 - 2)*(1391*r - 501*r - 1 - 683*r + 2*r + r - 2*r + (2 - 1 + 1)*(0*r - r + 3*r)).\nAnswer: 424*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) + (-442)\/(-117). Find the third derivative of 370 - 370 + 5*g**2 + h*g**3 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 0 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 4*i + 2*i)*(0 + 0 + 2) + 1 - 1 + 3*i + (0*i + i + 2*i)*(-2 - 2 + 1).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 422.99999799 - 423. What is y rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(-28)\/(-105)*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10274 is divided by 2564.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 4, -4\/3, -1107, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qydrrrryqrrqry. What is prob of sequence yd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/36))**(-2\/139)\/((l\/((l*l\/(l*l**(-35)))\/l))\/(l\/l**(2\/19)*l*l)))**(-2\/3) assuming l is positive.\nAnswer: l**(-1753883\/71307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -72, -0.3, 10\/83, -2, -4, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207848 is divided by 216?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-1 - (-2 + 1)). Suppose s + 5*g = 4*s + 28, -2*s - 8 = w*g. Let x be 16\/3 + 2\/s. Solve t - x*t - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/28 and -85\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 80 + 68. Let y be -1 + (1 - 5) + 4. Let q = y - -13. Calculate the lowest common multiple of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 14*j**6\/15 + 11*j**5\/3 + 49*j**4\/9 + 34*j**3\/9 + 4*j**2\/3 - 10*j. Let t(x) = 0. What is x?\nAnswer: -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -10, -1.04641, 0.06, 2 in increasing order.\nAnswer: -10, -4, -1.04641, 0, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 533447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 893666749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2696953580 and 12680?\nAnswer: 6340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -6 (c) -1269 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174901549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/15882 + -618197\/277935. Let l = 33\/14 + s. Sort l, -3\/4, -0.1.\nAnswer: -3\/4, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 4. Let t be j(6). Let i be 2946\/(6\/t)*-6. Let x = -9092 + i. Round x to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00789638 to four dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 - (-10 - (-8 + 14 + -10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76930113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 3 - 1 + 2*p + 0*p + 2*p**2. Let j be o(-4). Is 2\/8 - (-1377)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*((-14)\/6 - -2). Let l be (5\/3)\/(2\/k). Suppose -1 - l = 2*n + 4*v, 0 = -5*n + 2*v + 21. Calculate the highest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/4 + 185\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -554047, -554052, -554059, -554068, -554079, -554092?\nAnswer: -554107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5, 0.4, -2\/153, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {u: 11, n: 2, k: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4 + 4)*(2 + 1 - 1)*(-19*m - 77*m**2 + 19*m) to n + d*m**3 + v*m**2 + z*m and give d.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23018869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-204)\/(-10) - 3) + (-18)\/(-30). Suppose -3*y = u*y - 235347. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45319971?\nAnswer: 3, 1741, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdds when four letters picked without replacement from mdbtsmddmdfmbmmmd?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**6*w**2 + 3340*h**6*w + 13*h**2*w**2 + 55*h*w**2 + 3*w**2 + 2*w wrt h.\nAnswer: -360*h**3*w**2 + 400800*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 87*c**2 + 45*c - 81. Let t be x(43). Solve 24 = 5*m - r + 1, 0 = -t*m + 2*r + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-4*s**3 + 2*s**4 + 0*s**3 + 2*s**3).\nAnswer: 2*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 9*n + 6*n - 43*n - 34*n + 26*n + (0 + 0 - 2)*(2 + n - 2) + 2*n - n - 2*n.\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25654 divided by -14\nAnswer: -12827\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 85. Let p = 29.5 + t. Put 2\/5, -2\/17, p in ascending order.\nAnswer: -2\/17, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 3, a: 1, j: 1, k: 1}. Give prob of picking 1 a and 2 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (248\/3255*(-3)\/4)\/(24\/(-1386)*11)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 327\/327*3\/1. Solve -t = -2*p + 10, -5*p = -j*t + 21 - 46 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.392978668 rounded to 5 dps?\nAnswer: 0.39298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + 18 - -93) + (-33 - 0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.7 times -0.02648\nAnswer: 0.336296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896 divided by -7.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-7) + (-32)\/(-112) - -4. Suppose 9*v - 171 = d*v. What is v rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - 32. Let p = -118 - u. What is the common denominator of 36*(p\/(-48) + 18\/(-27)) and 101\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 101115.2740923.\nAnswer: 101109.2740923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195.03 + 194.63. What is the nearest to 4 in f, 1, 2\/9, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34000?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {i: 9, v: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 - 9*q + 1. Let y(t) = -t**2 - t. Let n(g) = -u(g) + 5*y(g). What is the units digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -598 in 5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13302 + 13?\nAnswer: 13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 - -4 - 6) - 13) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 7*u + 0 - 4)*(2 - 2 + u).\nAnswer: -u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91538921 to the power of 1\/2, to the nearest integer?\nAnswer: 9568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 - 101*o**2 + 97*o + 5. Is r(40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p + 5 + 1\/3*p**4 - 1\/15*p**6 - p**2 + 0*p**3 + 0*p**5. Let l(m) be the first derivative of w(m). Let l(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**5\/15 + 7*u**4\/2 + 98*u**3\/3 + 343*u**2\/3 - 275. Factor v(h).\nAnswer: 2*h*(h + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182614086.\nAnswer: 2, 3, 59, 373, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -2, -18?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113111895*q - 242043031?\nAnswer: -113111895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerlkdlldnnerenlrnee. Give prob of sequence er.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8058 and 3978?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.98002387 - 26.98. What is t rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 + 9*j - 5. Let n be t(8). Suppose n*z + 15 = -0*z. Let i be (0 + -5)*4\/z. Solve 0 = -s - i - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -7. Let q = -8 - h. Solve 3*m + 5*p = m - 5, -q*m = -5*p - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -z - 0, -3*z = 5*n + 5. Let s = -0.38 - -0.08. Which is the biggest value? (a) n (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-825))\/(2\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22\/7 + -23\/14. Let 3\/2*v - 1\/2*v**5 - d*v**4 + v**2 + 1\/2 - v**3 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5575834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11031101 + -3?\nAnswer: -11031104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 36*c**2 + 98*c**2 - 3*c + 0 + 2 to the form d*c + j*c**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74480 = -4*y - 15*y. Suppose 0 = -9*q + 14*q - y. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 + 4*d**3 + 0*d - d + 2*d**3 - 2*d**2 + 2. Let k be q(-2). Sort 4\/3, -4, k in descending order.\nAnswer: k, 4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 47*g**2 - g + 6. Let y(t) = -6*t**3 + 236*t**2 + 6*t - 33. Determine -11*h(w) - 2*y(w).\nAnswer: w**3 + 45*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 50*z**2 + 502*z + 38. Calculate f(36).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*n**2 + 752*n**2 + 2*n - 2*n.\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 14 = 3*b. Suppose 33 - 71 - 4*q**2 - 32*q + b*q**2 - 26 = 0. What is q?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 2*o + 9, 3*o - 270 = -4*p - 239 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30368.88 months to decades.\nAnswer: 253.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0 - 1\/1176*u**8 + 2\/735*u**7 - 1\/105*u**5 + 0*u + 0*u**3 + 1\/84*u**4 + 0*u**6 - 3*u**2. Factor m(r).\nAnswer: -2*r*(r - 1)**3*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + 190*z**2 - 51*z + 114. Calculate i(47).\nAnswer: 2135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -103, -119, -111?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 173 + 195 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/22, -4509, 1?\nAnswer: -4509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 43. Determine x(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 13*x**3 - 8*x**2 + 7*x + 6.\nAnswer: -(x + 1)**2*(x + 2)*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 6\/(-4))\/(-3). What is the nearest to 0 in r, 5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 1\/3, -5, 2363?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 12*b**2 + 51*b + 567. Determine g(-13).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 6)\/(-6) - 92\/2. Let k = 77 + l. Suppose -360 = -4*b + 5*a, 2*a + 450 = 5*b + 3*a. Calculate the remainder when b is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -177515\nAnswer: -2130180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 107730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - h + 276 + 882*h**4 - 883*h**4 + (3 - 3 + 2*h)*(0*h**3 - 5*h**3 + 4*h**3).\nAnswer: -3*h**4 - 3*h + 276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12386 + 10306.2. Let q = 1911 + h. Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 + 4. Let y be h(-5). Let v(q) = 3*q - y*q + 2 + 2 + 5*q. Let g(n) = 3*n + 3. Calculate -7*g(m) + 5*v(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.2+257071602596\nAnswer: 257071602598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1800 - 23621*o + 196*o**3 + 8394*o + 619*o**2 + 10287*o + 2629*o**2.\nAnswer: 4*(o + 18)*(7*o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1961876 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194 and 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:31 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 3. Let m be s(3). Let k = m - 53. Let i = k + 31. Solve -v + 5*v = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r + 25, 0 = 3*x + 3*r - 30. Let t = 15 - x. Let l(s) = -s**2 + s - 7. Determine l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 211202?\nAnswer: -211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 24\/(-16))*(-264)\/(-14). Suppose -73*f + 4508 = -h*f. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1365)\/(-14))\/13*(-16)\/(-6). Let f(p) = p**2 - 22*p + 26. Let y be f(v). Let g be (-16)\/56 - 116\/y. Solve -4*c + 2*c - g = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from vvvovvmmmvmvvvovov.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -278)\/((12\/8196)\/((-3)\/(-6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.41 - 0.11. Is v bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -40*r**2. Let t(z) be the second derivative of 3*z**3\/2 + 2*z - 60. Determine t(u(y)).\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*u - 1177*u - 2 - 1904*u + 0.\nAnswer: -3706*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - -0.2. Let g = 33 + -35. What is the second smallest value in -0.5, x, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460654815 a multiple of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.7 (b) 7 (c) -5 (d) -0.2 (e) 38 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/29)\/(l**(-5\/4)*l)*l\/l**29*l**(1\/7) assuming l is positive.\nAnswer: l**(-22389\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 82*k**2 - 164*k - 305. What is d(-80)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 + g**5 - 6*g**5 + (-3*g + 4*g + g)*(309*g + 1775 - 1775)*(-2 - g**3 + 2).\nAnswer: -620*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 15*w**3 - 11*w + 11. Suppose -5*x - 3*h + h = -26, x + 5*h + 4 = 0. Let y(c) = 2*c + c + 3*c - x - 8*c**3. What is 6*l(o) + 11*y(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7298297 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*v - 27, -42*w + 4*v + 4 = -38*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 590 + 19)*(2*i - 3 + 3) to a*i + c and give a.\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:02 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18 and 109\/11414.\nAnswer: 102726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:34 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 15. Suppose 5*j + w*h = 57, -16 = -4*j + 2*h + 3*h. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {y: 5, f: 2, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyyyiyyvyysvyvv. What is prob of picking 2 y?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -402505 (base 8) to base 12\nAnswer: -64771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*x - 29 = 0, 4*w - 2*x = -4*x - 22. Let y = -12771\/7 - -1824. Which is the third smallest value? (a) w (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10) - 66\/(-10). Suppose 0 = 3*v + n + 39. Suppose -5*b - 52 = -b + 3*l, -l = -3*b - 52. Are b and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - a - 17 = 0, -4*t - 14 = -4*a - 2. Let s(i) = 2*i + 8 - 5 + 4. Let p(y) = y + 4. Calculate t*p(l) + 3*s(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7050725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((-4)\/6) - (28 + -22)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/12 - i**3\/2 + 2*i**2 - 13*i. Let n be s(0). Let m(b) = 76*b - 8. Is m(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-2) + (-2277)\/414.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m + 106. Determine z(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 11*v + 37. Let q be u(14). Let g be (-8)\/q + 2*(-3)\/(-15). Suppose -20 = 3*o + o - 4*d, 4*d = g*o + 20. Which is bigger: 6\/17 or o?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -41 (b) -0.4 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 12*t + 7. Let f be j(-9). Let k = 27 + f. Let c(q) = 3*q - 5. What is c(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64986)\/(-180) - -5 - -4. Let a = -1114\/3 + o. Calculate the common denominator of (-1 + -44)\/(8*1) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-50)\/(-4))\/(1\/10). Let p = -121 + o. Let -1\/4*f + 0 + 1\/4*f**p + 1\/4*f**3 - 1\/4*f**2 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9576 and 3304.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3323\/2 - -8262\/5. What is the common denominator of t and -37\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 137076*y**4 - 1169759868*y**3 - 78955358068*y**2 - 300609070464*y - 222823609344 = 0.\nAnswer: -63, -3, -1, 17168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 7. Let b(s) = s**2 - 6*s - 2. Let g(k) = k + 1. What is l*g(m) + b(m)?\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-12) + (-2)\/6*1. Let v(g) be the first derivative of -2\/3*g**3 + 5 + 3\/4*g**4 + c*g**2 + 0*g. What is the third derivative of v(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -49 (c) -17 (d) 0 (e) 0.5 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 11352*w**4 - 7974437*w**3 + 113176259*w**2 - 497223384*w + 697482268 = 0. Calculate w.\nAnswer: -1426, 7\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(1*sqrt(108)) - (3 + 3*sqrt(3)*-1).\nAnswer: -3 + 19*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318050033*v*x**3 + 2*v*x**2 + 5685783*v*x - x**2 + 14*x wrt x.\nAnswer: 1908300198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 + 84*b**4 - 2*b**3 - 168*b**2 + b + 84 = 0 for b.\nAnswer: -84, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46601*n - 42140*n + 455022 = 0 for n.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125.703 rounded to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**6\/24 - 7*n**3 + 31*n**2\/2 - 10. Let b(v) be the second derivative of r(v). Find the first derivative of b(q) wrt q.\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 425, 969, 1685, 2597, 3729, 5105, 6749?\n\"Answer: 4*r**3 + 62*r**2 + 330*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from yqdqddddedqdedoeddyy.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12429572 + -12424106.769. Let x = t - 5470. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4284 - -4284.08. Is p at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/(-10))\/((-19)\/(-627)*-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.01*2.2052.\nAnswer: 2.227252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2714980 by 4.\nAnswer: -678745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 - 21*n**2 + 153*n - 12. Give w(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -18 + 15 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/444 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 76 = -3*v + 376, v = -4*i - 1769. Do -444 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2073, -4819, -7565, -10311?\nAnswer: -13057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 521 - 513 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 5. Let g be r(-5). Let u = g + 9. Let o = 6 + u. Solve o = -4*m + 9 + 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4 + -3)*-1. Let i(f) = 15*f - 1. What is the remainder when i(2) is divided by 8\/r - 4\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82984663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-20) + ((-3)\/(-8) - (-2306577)\/392)?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:23 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -26*s - 12. Let j be w(-1). Solve -j = 4*i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 + 74*o**2 - 56)*(-76*o + 34*o + 32*o) + 2*o**3 - 2*o**3 - o**3 as b*o + i*o**2 + p + t*o**3 and give t.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7589893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004224427 to 5 dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.08 (c) -1 (d) -2\/11 (e) 1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8*(-117)\/520*4060\/168\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Suppose -4*k + 3*k = -2*k. Suppose k*i = x*i - 10. Solve i*c - 3 = 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111 (base 2) in base 9?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -90, 2\/7, -93, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5180751 divided by -3.\nAnswer: -1726917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (10 + 3 + 33 - 12)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042303.\nAnswer: 643, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 3254*s**3 - 2*s - 5896*s**3 + 2758*s**3.\nAnswer: 116*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {w: 12, z: 2, p: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*t + 693*t + 78046 = -18284 - 18977 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 + 15*l**2\/2 + 28*l - 15. What is the lowest common multiple of s(16) and 62?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 - -2)) + (19 - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11715 is divided by 2920.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 3*w**2 + 4*w - 1. Let p(i) = -3*i**3 + 4*i**2 + 5*i - 2. Calculate -4*b(o) + 3*p(o).\nAnswer: -o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123 or -54?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 2*y**4 + 7 - 6 + 3*y**3 - 5 - 2*y**2 to w + a*y**4 + u*y + g*y**3 + o*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -0. Let k = 9 + j. Calculate the greatest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k**3 + 77*k**2 + 168*k + 32. What is f(-2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 17*n + 12. Suppose 5*s = s - 12, 5*s + 55 = 5*c. Let g be k(c). What is the greatest common divisor of g and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14364 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 770, 1152, 1534, 1916, 2298?\nAnswer: 2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.03 - 0.03. What is the nearest to 1 in -5, w, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3517 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43290 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2076 = -2328. List the prime factors of z.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 6\/81*-28. Let t = s + 77\/54. Let -15\/4*c + 3*c**2 - 3\/4*c**3 + t = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511272 divided by -1.\nAnswer: 511272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-6 - -22 - 5) - -11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -285412\/45 - -6343. Is 0 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/((u*u**(-8))\/u)*u\/(u*u*u\/(((u**(2\/11)*u)\/u)\/u))*u*u**(-13)\/u*u**(-14) assuming u is positive.\nAnswer: u**(-207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -0.1, -5, 2085959?\nAnswer: 2085959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 + 25*n**2 + 27*n**2 + 26*n**2.\nAnswer: 55*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(1311*d + 617*d - 460*d) as j*d + v and give j.\nAnswer: 1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 1\/15*z**5 + 0*z**3 - 1\/168*z**8 + 3*z**2 - 2\/105*z**7 + 0*z + 1\/12*z**4 + 0 + 0*z**6. Solve n(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/6 + 55*r**2\/3 - 11705*r\/6 + 5795\/3.\nAnswer: 5*(r - 38)*(r - 1)*(r + 61)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (2 + 3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-56)\/(-564)) - (-2)\/14. Which is greater: q or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - 803)\/3)\/((-1555)\/622).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080444142 a multiple of 6382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let v(m) = 4*m**2 + 22*m + 2. Let j(l) = l**2 + l. Let f(r) = -5*j(r) + v(r). Let s(x) = -2*f(x) - 18*i(x). Find t, given that s(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iksl when four letters picked without replacement from {h: 2, i: 3, k: 2, u: 2, l: 2, s: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -1.5017737015346.\nAnswer: -6.5017737015346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/537972 and -107\/20652?\nAnswer: 925849812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - -6.87. Let y = 6 - g. Let j = -0.3 - 6.7. Which is the second smallest value? (a) -2\/11 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:10 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 42. What is the least common multiple of 4 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104467 - -1805800\nAnswer: 1910267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**2 + 4*x + 9. Determine j(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-10088422)\/(-18) + 4\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 3. Let l be o(1). Let v(t) = 4*t**3 + 2*t - 1. Let q be v(l). Suppose q*s = -k - k + 77, -2*k = -2*s - 56. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9, -2\/5, -16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(27*d - 42*d + 116*d).\nAnswer: 101*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f - 346 - 343 + 1391 - 350 - 34*f - 350.\nAnswer: -67*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1459638*h*r**3 - 9*h*r**2 - 4*h*r + 1538*r**2 wrt r?\nAnswer: -8757828*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 5165 - 39158 = 0. What are the prime factors of a?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*o - 675, -o = -d - 5*o + 152. Suppose -133*y = -d*y - 186. Suppose -y*h + 183*h = -3. Put 3, h, 3\/2 in increasing order.\nAnswer: h, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 8. Find the third derivative of -k**6 - g*k**6 - 10*k**6 + 6*k**2 + 3*k**6 wrt k.\nAnswer: -1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 12*z - 5. Suppose 8 = -x - 2*o, -4*x + 4*o = 21 + 11. Calculate c(x).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.015, -4, 5, 4, -0.33 in decreasing order.\nAnswer: 5, 4, -0.015, -0.33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/(-21)*(-22032)\/3468\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000.699 centuries in months?\nAnswer: 8400838.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*d**2 - 3*d**5 + 168*d**3 + 9*d**2 - 159*d**4 + 64*d**2 = 0. Calculate d.\nAnswer: -54, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-471)\/132)\/((-5325)\/(-8520)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/38)\/(((-44)\/10)\/(90\/30))?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*q, -2*q - 38 = -2*b + 5*b. Let o(x) = -x**2 - 13*x - 4. Let j be o(-10). Let u = j + b. What is the remainder when 18 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4591593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14548, 12935, 11322, 9709, 8096?\n\"Answer: -1613*z + 16161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 163, 692, 1597, 2866, 4487, 6448?\n\"Answer: -2*x**3 + 200*x**2 - 57*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let k(b) = -2*b + 87. Calculate m(k(q)).\nAnswer: -2*q + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 20088 = 15*w. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430 bigger than -1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1961203 + 6?\nAnswer: -1961197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 1\/2*v**2 + 0*v**4 + 0*v**5 + 111 + 0*v**3 - 240*v + 287\/6*v**6. Find the second derivative of l(w) wrt w.\nAnswer: 5740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2181142504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 1. Let q be g(3). Suppose 7*p + 4*h - 28 = 3*p, -q*p + 3*h + 67 = 0. Suppose 2*j - p = j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(-1 + (-22)\/(-33)). Let g(t) = -4*t - 6. Let k(x) be the first derivative of -1\/2*x**2 - 4 - x. What is o*g(q) - 6*k(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32982177 and 1857.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -77332?\nAnswer: 77324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -20200321?\nAnswer: 20200331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -16264365730?\nAnswer: 16264365731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - ((-11 - 43) + 20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5847336 is divided by 396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 14*s - 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26 + 26 + (-80)\/2. Put -28, 2\/3, z, 0.5 in descending order.\nAnswer: 2\/3, 0.5, -28, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 32*m. Let v(i) = -39*i + 5028. Determine v(w(a)).\nAnswer: -1248*a + 5028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(-102 - 139 + 15)*(0 + 0 + t).\nAnswer: -226*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -297 - 337?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/(-76)*(-5 - (-173)\/3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/(-11 - (-616)\/55). Solve -6*z = j*z - 33 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7019841ml in litres?\nAnswer: 0.0007019841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*v**2 + 0*v + 63*v**2 + 0*v.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10157360 + -10?\nAnswer: -10157370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -613669, -613854, -614039?\n\"Answer: -185*v - 613484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5206677 and 103\/4462866.\nAnswer: 31240062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 12, k: 2}. Give prob of sequence uuuk.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 - 102. Let a = 102 + t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -36*j - 1005. Let f be b(-28). Solve f*z - 24 = 3*x - 6*x, 3*x - 6*z = -21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6 - -1)\/(72\/(-162)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 72*m**3 + 68*m**2.\nAnswer: 4*m**2*(m + 1)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 14*z**2 - 2*z + 6. Calculate l(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/11932?\nAnswer: -7\/11932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3\/5 + 18837*w**2 = 0.\nAnswer: 0, 31395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196728?\nAnswer: 2, 3, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 2*r**2 - 35*r + 3. Let z be w(5). Let s(j) = -8*j + 3. Let a(n) = 24*n - 8. What is z*a(k) + 8*s(k)?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = 11*n - 1902. Suppose 25*d - 24*d - n = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 7. Let s be g(-6). Let q(n) = -3 - s - 7 - 14*n. What are the prime factors of q(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*v + 15 = 0, -3*v + 16 + 5 = 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 459, 456, 453, 450?\n\"Answer: -3*a + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*a - 7*a + 50, a + 3*s - 21 = 0. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5 + sqrt(325) + (sqrt(325) - sqrt(325)*-2) - -3*(sqrt(325) + -1 + sqrt(325))))**2 - ((-6*(sqrt(325) + 1*-2*sqrt(325)))**2 + -4).\nAnswer: -700*sqrt(13) + 20853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9192939433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 486\/3 + -3 - 4. Let p = u - 110. Suppose -2*b = l + 2*b - p, -4*l + b + 129 = 0. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3827145 divided by -182245\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -1 - 27. Let q be ((-1)\/(-3))\/(-1 - k\/(-24)). Suppose q*g - 1 = 11. Solve -5 = -g*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31022358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 306? (a) 4 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + -6*(2 + sqrt(180) + (-2 + sqrt(80) - sqrt(5)))*-2 + -1)**2 + 5.\nAnswer: 648*sqrt(5) + 58334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:09 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 + 542. Let l = f + -236.84. Let b = -2.6 - l. Round b to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = q + 16, -6 = -3*f + 3*q. Suppose 3*t - 13 = -0*p - p, -3*t = -9. Solve -f = -z - p*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, x: 15}. What is prob of sequence yxyx?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4581, -17843, -39825, -70521, -109925?\n\"Answer: k**3 - 4366*k**2 - 171*k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -2 + (3*(sqrt(833) + 0) + sqrt(833)*-2 + -4)**2).\nAnswer: -1702 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*c**5 + 29412*c**4 + 219076*c**3 + 446356*c**2 + 210012*c - 45496 = 0.\nAnswer: -11, -2, -1, 47\/296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1946 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwj when three letters picked without replacement from jsrssrjjrrw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -331 + 12*q - 296 - 70*q. Let t be g(-11). Let m = -0.1 - -0.1. Sort m, -0.1, t.\nAnswer: -0.1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 3. Let c(z) be the third derivative of z**5\/20 + 5*z**3\/6 - 19*z**2. Let r = 2 - 6. What is r*c(f) - 7*k(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - 5. Let k be (-32)\/r*20\/2. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*z - 4*w, -3*z = 2*w + 3*w + 5. Suppose z*x = m + 32, -5*m = 4*x + 12 + 3. Does 12 divide (-12)\/(-42) + (-285)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let l be (0 - (1 - 3))\/s. Suppose -10 = l*p - 4*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.198 and -1?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 + (-2 + -1 - 0) - -20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 332*m**4 + 1288*m**3 + 1912*m**2 + 1268*m + 316.\nAnswer: 4*(m + 1)**4*(m + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 17*u - 34. Let t be v(15). Let f(l) = -216*l + 43. Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, -27, -270, -513, -756?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43326496 to the nearest 10000.\nAnswer: -43330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-1 + sqrt(114))*-4)\/(-4*sqrt(6)\/sqrt(3)))\/((sqrt(36)\/sqrt(2))\/sqrt(6) + 4*sqrt(3)*-2 + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*u**4 + 40*u**4 + 50*u**4 + (0*u**2 + 0*u**2 - 2*u**2)*(3*u**2 + 0*u**2 - 2*u**2).\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3379 + 3383. Solve -s*g = -5*j - 1, -4*g + 22 = 2*j + 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 2 + (3 - -2) + 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 8\/19*g**4 - 24\/19*g**2 + 4\/19*g**3 - 18\/19*g + 0 - 2\/19*g**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331316489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 18. Suppose 5*b + 2 = -28. What is the remainder when 47 is divided by n(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1197 in -1, -55, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 4*o**2 + 3*o**2)*(2*o - 2*o + 2*o**2) + 0*o**4 + o**4 - 4*o**4 - 3*o**4 + 0*o**4 - o**4 to b*o**2 + q*o + d + x*o**3 + a*o**4 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - (-25 - (-19 - 28)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-3354 + 3354 + 28*a**2).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-18 - (-10 + 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 507 + -686.8. What is h rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229294037?\nAnswer: 7, 32756291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/6 + f**2\/2 - 2*f. Let a be w(-1). Let v = a - -4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 96, 187, 308, 459, 640, 851?\n\"Answer: 15*l**2 + 16*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*h - 24, -3*c + 6*h - 18 = 3*h. Let u(s) = 2*s - 6. Let j be u(3). Suppose -2*i - 2*x - 12 = j, 2*i + 5*x + 9 = -3. Is i <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 11*y**2 + 11*y + 10. Let q(f) = 11*f + 1. Let b be q(-1). Let x be n(b). Factor -3*v**3 + x*v**3 + 2*v**3 + 2 + 3*v + 0.\nAnswer: -(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -22*c**3 + 4*c**2 - 16*c - 212. Is 74 a factor of a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 6\/3 - -4. Suppose 5 - m = -t. Let u = t + 16. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -4.71\nAnswer: -0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, w: 3, r: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*u + 332 = 0, 0*u = 4*n - 2*u - 350. Let v(z) = 24*z + 49. Let a be v(6). Let x = a - n. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 - 2. Let b be u(2). Let c be (-2)\/(1\/(2\/(-4))). Suppose -x - c = -b*x. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-110))\/(6\/50*30\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -a + z, -a - z = 0. Is 6\/4*a + 20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 + g + 16. Let f be p(0). Let m = f - 13. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*p - 51*p = -235. What is the closest to -1 in -12\/71, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 63.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 36 + 36 + 2*a + (-2*a**2 - 2*a**2 + 3*a**2)*(-1 + 2 - 3) as h + l*a + m*a**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1705867.\nAnswer: 29, 59, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21\/17, 10080, 3?\nAnswer: 10080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(136)*-1 - sqrt(136))*-6*-6)\/(((-2*sqrt(64)*1 + sqrt(64) - sqrt(64)) + sqrt(64))\/sqrt(8)).\nAnswer: -4 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 447720?\nAnswer: 447711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4776 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769859 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjuu when four letters picked without replacement from fofuozfozozoppj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46194*d**3*k**5 - 1235*d**3*k**2 + 4*d**2*k**2 wrt k.\nAnswer: 2771640*d**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.04 + 49. Let l = -1.5 + m. What is l rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236844 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 9. Calculate the remainder when 31 is divided by x(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 13*r - r - 5*r + 17 as l*r + p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1976\/(-164) - -3) + (9 + -10)*-9.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 3 - 2 + 2*n**3 + 0 as k + d*n + m*n**2 + y*n**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -3*o, 2 = 2*q + o. Suppose -2*p = l - 9, 3*p + p - 3*l = q. Suppose p*n = 85 - 7. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 18. Let r = 317 + t. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 415.4 and 11073248.\nAnswer: 11073663.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1072*w**2 + 48*w - 521. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3 = 5*q, -q - 43 + 56 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/16 + (-14)\/(-112). Let l(c) = -6*c**3 + 5. Is 6 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -75*w**2 - 5146*w - 8101. What is z(-67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6874117.\nAnswer: 103, 66739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l + 4 + 1 + 7 - 4.\nAnswer: 27*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 23124 - 22884 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 2*o + 7*o**2. What is the units digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**3 + z**3 + (4*z - 5*z + 2*z)*(45*z**2 - 60 + 18 - 46*z**2).\nAnswer: z**3 - 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 747327015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/13)\/t*t*t)\/(t**5\/t))**(21\/8) assuming t is positive.\nAnswer: t**(-777\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p**3\/4 + 1803*p**2\/4 - 115713*p\/4 - 49923\/4 = 0. Calculate p.\nAnswer: -3\/7, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2774 - 2774 + 1106*l)*(3*l - l - l).\nAnswer: 1106*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7 = -3*n + 10, 4*n = -3*f + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -745361400 rounded to the nearest one million?\nAnswer: -745000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1902758477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1 + -2*(-1)\/2. Suppose m*j - 2*j = 484. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.134007 grams in nanograms?\nAnswer: 9134007000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqn when three letters picked without replacement from nnqyyi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*z - 1465, 4*d - 350 = 5*z + 1595. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 5\/3)*(25 - 22). Determine j, given that 0 + 0*j + 2\/5*j**x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.6. Let y = 7 + -9. What is the biggest value in y, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*s - 7*s. Let h = -9 + 15. Suppose -h*b + 3*b = 0. Solve 0 = s*l + 3*u - b*u, -1 = 3*l + 5*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 + 544355*l + 13*l**2 - 544356*l - 19*l**3 - 4 to the form r + c*l**2 + p*l**3 + s*l and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let y(d) = 4*d. Let u(a) = 14*m(a) + 3*y(a). Let j(n) be the second derivative of 3*n + 0*n**2 + 0 - 1\/4*n**4 + 0*n**3. What is j(u(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(25)*1)\/(-3*sqrt(5)*6).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 48933500?\nAnswer: 97867000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j - 10. Let r = j + 1. Let f be (4 - r)\/(1\/9). What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*k = 69*k - 342. Calculate the greatest common divisor of 950 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37642 and 1291687.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:06 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282228.\nAnswer: 2, 3, 29, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (sqrt(1620) - sqrt(1620)*2)) + sqrt(20))\/(sqrt(60)\/(sqrt(24)\/sqrt(4))).\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d, 5*d - 28 = -5*y + 3*d. Calculate the lowest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n - 7. Let f(y) = -5*y + 6. What is 3*f(j) + 2*k(j)?\nAnswer: -3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 6, n: 1, h: 3}. What is prob of picking 1 n and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from lvuvvvpnlmlvlmvuv.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641575.\nAnswer: 5, 11, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*v + 73*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/151444 and -7\/1211552.\nAnswer: 1211552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfsjyjyyfjcsjs. Give prob of sequence fscy.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41295 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -262, -577, -1018, -1585, -2278, -3097?\nAnswer: -4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1326)\/621 + 49*(-152)\/(-33516).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11718 = -332*j - 970*j. Let m(y) be the third derivative of -y**4\/24 + 5*y**3\/3 + y**2. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 9*y - 4. Let q(u) = u. Let a(g) = 2*m(g) + 18*q(g). Let x(k) be the first derivative of a(k). Let j(f) = 5*f - 1 + 1 - 2*f. Give j(x(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -j, 0 = 5*j + 12*k - 8*k - 10. Let q(l) = l**3 - 2*l**2 - 2*l. Let h be q(3). Put j, h, -6 in ascending order.\nAnswer: -6, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23129494 is divided by 1541966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*g - 3 + 6, 5*g + m = 1. Suppose v = -g*v + 12. Let s be (2\/15)\/((-2)\/v). What is the nearest to 2\/5 in -5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266838, -2533676, -3800514, -5067352?\nAnswer: -6334190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 13*n**2 - 16*n - 2. Calculate the remainder when 388 is divided by r(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*s - 388 - 152 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/46392 and 79\/27062.\nAnswer: 324744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2313 and 2273.\nAnswer: 525.7449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35999599, -35999602, -35999605?\n\"Answer: -3*p - 35999596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*l*w**2 + 7*l - 472*w**2 wrt l.\nAnswer: 67*w**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 2. Let i be 2 + (-5 - 1)*1. List the prime factors of r(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6949 - -12576. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-3))**(-3\/10)*(x\/((x*x\/((x**(2\/5)\/x)\/x)*x)\/x))**(5\/6) assuming x is positive.\nAnswer: x**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 + -367. Which is smaller: c or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 10*i**2 - 26*i - 11. Calculate l(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.1 - -7. Let q = -8 - s. Let g be (2\/5)\/((-15)\/25). What is the closest to -1\/3 in q, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 2\/(2\/31) - (-2)\/(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -6 (b) 0.2 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.7 + 13.75. What is the closest to w in -0.1, 4\/3, 4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-308)*-11)\/(((-15)\/74)\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20664105 + 496049255\/24. Let i = b + -4609. Let a = 26901\/8 - 3353. Find the common denominator of a and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 2*f = -13266, -4*f - 8836 = -2*u. Suppose 3*q + u = 4*y, 0*q = -2*y + 2*q + 2214. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d49 (base 15) in base 9?\nAnswer: 34786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 6. Let l be h(-4). Put -5, 5, l in increasing order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z - 13. Let m be h(9). Let j = m + -19. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 - 6*y - 6. Let p be w(-4). Let a be (-8)\/50*(-25)\/p. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-6))*k)\/k*k*k\/k**(-3\/7))**30 assuming k is positive.\nAnswer: k**(-750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t. Suppose t = 2*n - n - 18. Suppose -s = -0*s - n. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a7 (base 11) in base 15?\nAnswer: 24e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7013, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 69*u - 1199. Let x be h(89). Solve 197 - x = 64*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.3782 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (7 + -14 - -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztvz when four letters picked without replacement from zzzzvzztzvvvzzvzvv.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -14*u + 10. Let k be 9\/(-6)*(-8)\/6. Solve k*r + r - u*o + 3 = 0, 4*o = 4*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 3)*(20 + 20*w**4 - 20) - w**4 + 2*w**4 - 3*w**4.\nAnswer: -122*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2211232301 (base 4) to base 10\nAnswer: -678833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, -8, -0.02, -54.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 14*f = -483. What is the remainder when 187 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2069 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/24 + x**3\/3 - 8*x**2. Let w be p(-3). Suppose 0 = -w*h + 82 - 2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 1. Let h be d(0). Which is smaller: -1\/8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11334 - -11339. Solve -4*s = u*j - s - 23, -4*j + 11 = -5*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 3\/4, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -201311232?\nAnswer: -201311301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-238)\/8302)\/(2\/(24\/12)) and 49\/4?\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (43\/215)\/(2\/80) + -6. Let t(a) = -a**3 - a. Let o(j) = -8*j**3 + 3*j. Calculate n*o(f) + 4*t(f).\nAnswer: -20*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 1. Let n be q(4). Let i(w) = -w. Let k be i(-8). Solve k*u = n*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:27 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437716529 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 13*p**2 + 4. Let n be l(13). Suppose m + n*m = 2*m. Determine u so that 0*u + 8\/3*u**2 - 8\/3*u**3 + m + 2\/3*u**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39848*j**2 - 39848*j**2 + 1524*j**4 + 2*j**4 - j**4 + j**4 + 3*j**4 + 3*j**2 - 3*j**2 + (0*j**2 + 0*j**2 + 2*j**2)*(-4*j**2 + j**2 + j**2).\nAnswer: 1525*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 1. What is h(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-8)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4363 + 122a2?\nAnswer: 16645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 981 - 2942 + 979 + 982 - 156*a**2 as r + s*a + f*a**2 and give f.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let v = o + -2. Let h = -2.2 - v. Which is the closest to 1? (a) 5\/4 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**2\/2 - 3*x + 2. Let y = 15 - 20. Calculate s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14 = -2*k, -4*w + 5*k - 25 = 12. Let t = -6 - w. What is the second derivative of 0*n**4 - t*n**4 + 2*n - 3*n**4 + n**4 wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(117) - -5*(sqrt(117) + -5) - sqrt(117)) + -1 + sqrt(117)*5.\nAnswer: -21 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407617 is divided by 135870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(77) - sqrt(77)))\/sqrt(11)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 9?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*m + 8205 - 57238 = 0, 3*s + m - 29419 = 0. What are the prime factors of s?\nAnswer: 2, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24224 is divided by 2529.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5061 = -5575. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -579 + 1247. Let m = 962 - i. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44086 is divided by 3149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*-41\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73296*j**5 - 22578*j**2 wrt j.\nAnswer: 4397760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -10, 5, 540, -2 in decreasing order.\nAnswer: 540, 5, 4, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - p)*(-p + p + 2*p**2) + p**3 + 4*p**3 - 3*p**3 + (3*p**3 - p**3 - 5*p**3)*(-334 + 812 + 837).\nAnswer: -3939*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - (-4 + 3 + -8 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 12*w**2 - 11*w - 14. Give k(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/650 + 127\/25. Suppose -i = l*i - 60. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15165 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3491757.5 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20400)\/(-1870) + -12 + 530\/264?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 1428 = 2*h - 4*m, 0 = -4*h + m + 2829. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 1, l: 1, k: 2, y: 1, i: 6}. What is prob of sequence mk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-7)\/42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.046557\nAnswer: 0.279342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 3*g. Let n(z) = 5*z**2 + 5*z. Give 3*n(j) + 5*q(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -938 + 943. Calculate the least common multiple of 147 and d.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t**2 + t + 261. Let c(r) = 7*r**2. Calculate f(c(v)).\nAnswer: 1274*v**4 + 7*v**2 + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*a = -728*a + 43389. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*d - 0*s - 16, -3*d + 19 = -4*s. Let w = d - -1. Solve -2*k + w = 5*z, -6*z = -z + 5*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24654 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 54.975. Let b = m + -0.735. Round b to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40692, -162743, -366156, -650925, -1017044, -1464507, -1993308, -2603441?\nAnswer: -3294900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 73, 150, 253, 382, 537?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - t = -12*n - 11, 3*n - 305*t + 301*t - 11 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 5*n**2 + 3*n + 4. Let v be g(-4). What is the units digit of 2\/((v\/15)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 85824*d + 460359936.\nAnswer: 4*(d - 10728)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 1218.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 + 10 = -3*f, -5*f + 4*j - 27 = 0. What is the units digit of 1\/f - (-267)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 3*f**2 - 2*f - 5. Let k be p(-3). Let s(z) = z**3 + 4*z**2. Let l(i) = i**3 + i**2. What is k*s(g) - 4*l(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -28*z - 14*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4\/7, -5, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 239 + 101 = 0. Let s(k) = -9475*k - 150. Let c be s(d). Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-9))\/(1\/(-72)). Let p = 43 + y. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351365 is divided by 175681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 56103488.\nAnswer: 617138368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - ((-4)\/30 + 6688\/(-1140)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o**2 + 8*o - 8. Suppose 2*g - 5*y = 9, 0 = -5*g + 4*y - 6 - 14. Let h(q) = -6*q**2 - 3*q + 3. Determine g*h(a) - 3*r(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 164, 167, 174, 185, 200, 219?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.3. Let f = 41.067 - 41.467. Sort -2\/7, v, -1\/2, f in descending order.\nAnswer: v, -2\/7, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - -470. 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: Let n be (0 - -3)*(-1 - (-16 + 14)). Solve -n*g = -4*q - 8, -8 = -4*g - q + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291019007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:02 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:54 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 10411.47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670.978mm in kilometers?\nAnswer: 0.002670978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 1. Let b be i(-1). Let w be (1 - (-1)\/(-2))*3. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.4 - -30. Let u = q + 9. What is the smallest value in -2, 5, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 16*y - 48. Let c(x) = -x**2 + 9*x - 21. Let m(w) = 7*c(w) - 3*o(w). What is m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145600 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 14.31. Let h = y + -15. Let s = 0.24 + -0.04. Which is the nearest to h? (a) s (b) -1\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/58 and 44\/19.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (40\/70)\/((-2)\/(-7)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k. Suppose -l + 3*l = k. Let i(m) = -m + m + m + l. Let a(x) = 3*x. Calculate a(i(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8 + 2 + 49\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5227581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/105011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2216, 8745, 19572, 34703, 54144?\n\"Answer: k**3 + 2143*k**2 + 93*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -74. What is the smallest value in 2\/13, 0.4, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 804467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.7917 + -0.2017. Let n = c - 13. What is n rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = b - 29, -3*r - b + 124 = 0. Let m be 1\/(1 - 2) + 74. Let g = r + m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -3*h - 6, 12 = -2*h - 4*j. Suppose h*a - 3*a + 12 = 3*f, 5*a = -f + 12. Find c such that 5 + 15*c**2 - 5 - 4*c - 19*c**f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 39 in decreasing order.\nAnswer: 39, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, i: 8, q: 4}. Give prob of picking 3 q.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-1\/4))\/i)*i)\/(i*i*i**9))**(-5\/12)\/(((i*i*i**(-1)\/i)\/(i\/i**(-5\/2)))\/(i**4\/((i\/(i\/((i*i*i**(1\/2))\/i)))\/i))) assuming i is positive.\nAnswer: i**(511\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z + 0*z - 95*z**5 - 147*z**5 + z + 0*z - 26 wrt z?\nAnswer: -4840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -5*p - 3*t, 3*p - 101 - 57 = 5*t. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 1097, 3796, 9113, 17936, 31153, 49652?\nAnswer: 74321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 10*b + 4. Let h be ((-3)\/2)\/(22\/(-12) - -2). Let d be s(h). Let t = 2.9931 - -0.0069. What is the biggest value in -0.2, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163*(-856)\/313938*(-66)\/4.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-2 + 3)*(42 + 6\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.04, 2, 5 in descending order.\nAnswer: 5, 2, 0.4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*r**5 + 40*r**4 + 17*r**2 + 16 wrt r?\nAnswer: -540*r**2 + 960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569\/7 + 81. Which is the nearest to -3? (a) -2 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -62, -75?\n\"Answer: -13*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**2 + c - 2. Let o(k) = 32*k**2 - 4*k - 5. Let n(i) = 97*i**2 - 14*i - 15. Let m(x) = 3*n(x) - 10*o(x). What is 5*a(f) + 2*m(f)?\nAnswer: 12*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15983900 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 divided by -11?\nAnswer: -556\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5191 - 4?\nAnswer: -5195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 8*o - 1. Give s(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-35)*3\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -329 + 315 + (-2 - 0 - -29)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 2. Let n(w) = -w - 3. Suppose -5*l - 11*m = -6*m - 35, l + 3*m - 11 = 0. Let j(a) = l*n(a) + 4*q(a). What is j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 404 - (1 - 12\/3). Let t = l - 167. Suppose -2*z = -0*z - t. What is the greatest common divisor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 10*l**2 + 9*l - 16. Is t(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 8. Let x be v(2). Let a be -3 - 15294\/8*(x - -206). Round a to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-128*t**2 - 3 - 2*t - 6 + 8)*(-t + 2*t - 2*t) to m*t**2 + g*t + q + a*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 93, 154?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + -2 + 1 + 0 + 0 - -55.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (20 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 + 274. Let b = d + -114. What is the nearest to 0.8 in 3, b, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 110. Suppose -4*d + r = -0. Find the third derivative of -2*b**2 - 38*b**4 - 8*b**d - b**4 wrt b.\nAnswer: -936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40992869254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1613805\/631124 - -8\/12137. Is 3 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/418319 and 9\/1088?\nAnswer: 26772416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 + 43*x**2 + 14*x + 24. Suppose -3*u + 89 = 2*d, 4*d - 5*u - 21 = 168. Calculate the remainder when d is divided by b(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y**2 - 47*y**2 + 41291*y**3 - 41317*y**3.\nAnswer: -26*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -2*q. Find the second derivative of -2*j - q - 6*j**3 + 3 - 1 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369255 and 590705.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/49, 7\/6, 6, 23743, 3?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zooocofofccocyoovooo. What is prob of sequence zcvo?\nAnswer: 11\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -774246.221 and 66.\nAnswer: -774180.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 1 = -23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v - 386 = -3*i + 58*v, -5*v + 553 = 4*i. Calculate the greatest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) - (2 + (-2*sqrt(171))**2)) + 3 + ((-2*sqrt(190))\/sqrt(10))**2*2 + (4*sqrt(171) + (-5*(0 + sqrt(19)) - sqrt(19)))**2.\nAnswer: 3*sqrt(19) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35339438 is divided by 29697.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in -0.1, 1\/4, 4, -0.5, -1.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 5*f. Suppose 5*y + 6 = -5*s - 14, y + 3*s = -4. Let o be m(y). What is the highest common divisor of 28 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (35 + 21 + -12) - -21?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2*y + 6, -4*y = -y + 694 - 237 - 233 - 230 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105, 115, 125, 135?\n\"Answer: 10*h + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = -16, 9263 = 5*y - 4*r. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 69*u - 2509. Calculate q(-22).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -21*q**2 - 2*q. Let y(x) = -19*x**2 - 2*x - 1. Determine 2*h(n) - 3*y(n).\nAnswer: 15*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.08 - 51. Let h = -72.92 - w. Which is greater: -2\/7 or h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21441\/11 + 1949. Let t be (-9)\/(-42) + (-8)\/(-28). What is the closest to t in -5, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*h**3 - g**2*h**2 + 99*g**2*h - 113*g**2 + g*h - 116*g - 2*h**3 - 4*h**2 + 3 wrt g?\nAnswer: -6*h**3 - 2*h**2 + 198*h - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 63124\nAnswer: 631240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = j - 3*k, 2*j - 5*k - 153 - 45 = 0. Suppose -12*m = -21*m + 240 + 354. What is the highest common divisor of m and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 0.2, -5, 2, 293865, -3 in increasing order.\nAnswer: -5, -3, 0.18, 0.2, 2, 293865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p - 12. Suppose 0 = -5*n + n + p. What is the remainder when 20\/3 - (-3)\/9 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -22)\/(-4) + (-42)\/2. Is 15 a factor of (1 - (-13)\/d) + (-2598896)\/(-2280)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 0.4, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -801, -3263, -7367, -13113, -20501, -29531?\n\"Answer: -821*u**2 + u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.4 (c) -3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58527183, 58527181, 58527177, 58527171?\nAnswer: 58527163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -87*u + 33*u - u**3 + 26*u + 3*u**2 + 32*u - 4. Give k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1\/6*q**2 + 29\/2*q + 0 = 0.\nAnswer: -87, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2477 - 437 = 8*z. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -12.24179?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.4, 0.69, 3, 0, 1\/6 in increasing order.\nAnswer: -0.5, -0.4, 0, 1\/6, 0.69, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/11 + 774*w**3\/11 + 278*w**2 - 2334*w\/11 - 13788\/11 = 0.\nAnswer: -383, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*w = 5, -10*w + 6*w - 5 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41786065, -41786064, -41786063, -41786062, -41786061, -41786060?\nAnswer: -41786059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 + 189 - 100 + 142*k)*(-15*k - 3*k + 3*k) to o*k**2 + f*k + d and give o.\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.35117 and 1.06.\nAnswer: 0.70883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80101540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmtmmmtmttt. What is prob of picking 2 t?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 5731890.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - c**4 + (c + 2*c - c)*(c**3 + 0*c**2 + 0*c**2) + 2*c**4 - 5*c**4 + 4*c**4 + 0 + 2*c**4 + 0 + 12*c**4 - 9*c**4 + 29*c**4.\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1496 - 1484. Solve 0 = -f*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 30 + 1171 = 0. Suppose -24*r = -149 - h. Solve -3*z - r = 5*y - 45, -4*z = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*h + 495*h + 1 = -5*f, 0 = -3*f - 5*h + 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4750 and 19380?\nAnswer: 484500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 2*n. Let d(u) be the first derivative of 0*u**2 - 1\/4*u**4 + 3 + n*u + u**3. What is the third derivative of d(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108920272, -108920268, -108920262, -108920254, -108920244?\n\"Answer: d**2 + d - 108920274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -2\/17, -12\/420131, -15 in descending order.\nAnswer: 0.6, -12\/420131, -2\/17, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(95) + (1*sqrt(95) + sqrt(95) - sqrt(95))*6)\/(sqrt(40)\/(sqrt(72)\/(sqrt(9) - -4*sqrt(9)))).\nAnswer: 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3932\/167053 - -2\/1877. Let i = 1861\/356 - p. Find the common denominator of i and -137\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + 20 + -48 - (-46 + 1)) + -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13393 - 7916. Suppose -5*q = -3*i + 27068, 3*q + a = 3*i - 21601. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y. Let g(z) = 865183090*z. Give m(g(b)).\nAnswer: 2595549270*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 4*v**3 + v**3)*(v**2 - 5 + 5) - 681*v**5 - 1791*v**5 + 1718*v**5.\nAnswer: -752*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 23171*f + 243075.\nAnswer: (f - 11575)*(2*f - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2 + 3*i*m**2 - m**2 - 43 wrt i?\nAnswer: -2*i + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 + 14*v**3 - 15*v**2 - 8*v**2 + 24*v**2 - 2*v**3 - 4 + 6 to the form z*v**2 + i*v**3 + g + o*v + u*v**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/7 + (-55 - -61). Sort 5, f, -3, 4, 2 in increasing order.\nAnswer: -3, 2, 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**2 + 13758*s + 3872*s - 17*s**2.\nAnswer: -s**2 + 17630*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)*z**(1\/6))**(-16)*(z**(-3\/7)\/z*z**4)\/(z**(-1\/10)\/(z**(-1\/6)*z)) assuming z is positive.\nAnswer: z**(-152\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 2147?\nAnswer: -68\/2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:13 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/(-21)*(126\/882)\/((-30)\/(-14)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233696, 467396, 701096, 934796, 1168496?\nAnswer: 1402196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2187*x**2 + x - 2182*x**2 - 2178*x**2 + 6558*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -20 + 35 + (-2 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, w: 4, r: 2, l: 1}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, -4 in descending order.\nAnswer: 18, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835*c - 1826*c + 18 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - j - 74 = 0, -m - 172 = -6*m - 4*j. Calculate the greatest common divisor of m and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 35 + 71 = 0. Suppose -3*k = 2*q - 7*q - 5, -4*q = 4. Let 2\/3*d**3 + 4\/3*d**v + 2\/3*d + k = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42377, -42289, -42187, -42071?\nAnswer: -41941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 + 6*t**3 + 7*t**3 - 12 + 12*t. Let b(y) = y + 4*y - 5 + 0*y**3 + 4*y**3. Suppose 114 + 78 = 27*s - 132. Calculate s*b(o) - 5*p(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 223 = -2*v, -n = 2*v + 2*n - 199. Suppose f + 0 = 2. Suppose f*x = 6*x - v. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9856866813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -11 in descending order.\nAnswer: 21, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muqamaqwwwmh. What is prob of picking 2 w, 1 h, and 1 q?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:50 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, w: 3, y: 6, h: 4}. Give prob of sequence ht.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 17*f**3 - 4*f**3 + 2.\nAnswer: -13*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22\/47 - -524\/517. Suppose 10*w - 5*w + 8 = 3*y, 4*y = -2*w - 24. What is the common denominator of ((-340)\/200)\/(y\/(-10)) and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 137733\/(-155) + 4\/(-10). List the prime factors of (-2)\/24*3 + w\/(-4).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*o - 4*p = -261*o + 51, -5*o = -2*p - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-15*w - 32*w + 88*w)*(3 - 5 + 3)*(-3 - 1 + 5) in the form s*w + l and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-4)*1\/(-1). Let i be (-2 + 20\/12)*r\/(-14). Which is the second smallest value? (a) -3\/11 (b) 5 (c) -2\/3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21451 - 21451. Solve i = 12*q - 8 - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 e when four letters picked without replacement from {e: 1, v: 5, q: 3, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 4*w - 2. Let g(z) = -3*z**2 - 5*z + 3. Let n(h) = 2*g(h) + 3*y(h). What is the second derivative of n(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 10 = -w, 5*w = -4*j + 3*j - 27 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*l - 20. Suppose 0 = 2*w - 8, -l*q - 3*w = -6 - 22. Suppose -5*g + 249 = 4*u, -q*g + 77 = 4*u - 171. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-5060)\/(-15)). Let a = -93089\/10120 - b. Calculate the common denominator of 71\/3 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) -0.5 (d) -30 (e) -1\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*14\/(-60) + 150\/(-1125). Suppose -5*l + 2*x + 16 = 0, 7 = l + 4*l + x. Suppose -j = l*j. What is the closest to j in 0.3, -5, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 1. Let y(r) = 6*r + 6. Suppose 2*l = 2*m + 8, -3*l - 4*m - 9 = -0*l. Let c(q) = l*y(q) - 6*b(q). Let o(x) = x. Calculate o(c(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.02, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13130 = 5*u - 5*a, 5712 = 4*u - 2*a - 4786. List the prime factors of u.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 15*b + 2*b. Is b less than or equal to 1\/2849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69076487?\nAnswer: 191, 503, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32011\/5 + 6403. Which is the nearest to h? (a) -0.5 (b) 275 (c) -3 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*s + 28570 - 6677 = -2760*s - 55399 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**6\/h))\/h*h**5*h**(1\/10)\/(h*h**(-5)) assuming h is positive.\nAnswer: h**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4218002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2676316 (base 11) to base 4\nAnswer: 101213333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 14*m + 3. Let q be u(14). Let o be ((-35)\/(-42) - 1)*q\/1. Which is the third biggest value? (a) -4 (b) o (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 5061.\nAnswer: 15183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607338 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1377)*2*-3 - sqrt(1377)).\nAnswer: -63*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3170, 3165, 3148, 3113, 3054, 2965, 2840?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -276787*z**2 - 5938337 wrt z?\nAnswer: -553574*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404539683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*12\/(-9640)*(170\/(-3))\/(-17)\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2088)\/3393)\/(315\/65 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121112 + -112?\nAnswer: 1121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498766 is divided by 55409.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 211 = 14*t, -k = -4*t - 1139496 + 1139443 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.8. Let l = -736\/7 - -105. Let p = l + 2\/7. Which is the second smallest value? (a) p (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:16 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1524487 divided by -2.\nAnswer: -1524487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59824656 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 903 and 1946 + (-165)\/(3 + 12).\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19095*x - x**3 - x**2 - 4*x**4 + 5*x**3 + 19083*x - 2 to o*x**4 + h + u*x + d*x**3 + w*x**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 109, 158, 209, 262?\n\"Answer: u**2 + 44*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 + 5 = 2*t, 2*t + 3*c = 13. Let z = 290\/109 - 1703\/763. Sort t, 9, z.\nAnswer: z, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/3 - 3405*u - 40940\/3.\nAnswer: 5*(u - 2047)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3)\/6*0. Let w = 561.1 - 561. Which is the closest to w? (a) -0.11 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*283.\nAnswer: -28.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105\/275 - 2\/10. Let w be 105\/175 + -3 + 297\/105. What is the fourth smallest value in n, 4, w, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 285 = -5*x, -3*m - 260 = -4*x + m. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 30. What is the remainder when y is divided by (-4)\/6*(-6 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 - -113. Let u be 9 - -2*(-12)\/8. Let j(w) = 1 + 7*w - u*w + 2. Give j(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*t + 130*t - 26*t - 86*t.\nAnswer: 498*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 14. Let f be j(9). Let l(z) = 9*z + 60. Let a be l(-5). Suppose a*x = 14*x - 4. Sort f, 9, x in decreasing order.\nAnswer: 9, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 = 137*y + 1759 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605309?\nAnswer: 3, 535103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 5. Let p(q) = -3. Let x(r) = -n(r) + 2*p(r). Let t(d) be the third derivative of d**5\/15 + d**3\/6 - 2*d**2. Determine -5*t(c) - 6*x(c).\nAnswer: 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1538672491 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433131 - -314?\nAnswer: 434000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/3192 - 4*n**7\/1995 + n**6\/190 - 2*n**5\/285 + n**4\/228 + 12*n**2. Factor o(i).\nAnswer: 2*i*(i - 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u**2 + 4*u + 4. Let n be -3 + (168\/(-7))\/(-12). Let o(t) = -t**2 - t - 1. Determine n*m(h) - 4*o(h).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0.01878\nAnswer: -1.98122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2087838763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 + t**3 + t**2 - 2*t - 4. Let w be l(3). Is 5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*d - 1582 = -1702, n - 13*d - 654 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Suppose 3*k - 2*j = -13, 4*k - 3*j + 16 = j. Sort 3, b, k in decreasing order.\nAnswer: 3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 58. Let b(k) = -k**3 + 4*k**2 - 2*k - 2. Let p be b(2). Suppose -p*f + w = -1. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277782331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64815620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*u + 1321 = 2*o, -890 = -2*o - 2*u. Suppose -6*a + o + 43 = 0. Let j = a + 173. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 870426*g. Let s(y) = -8*y. Give s(z(k)).\nAnswer: -6963408*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a**3 - a**2 - a. Let b be h(-1). What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -50*r + 9*r. What is the greatest common divisor of r and 1912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.9*0.65\nAnswer: -21.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 536 = -2*g, 251 = g - v - 12. Solve -32*z - 11*z = g for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -639, -1444, -2573, -4026, -5803, -7904?\nAnswer: -10329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12375195 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120295 = -6633*r + 6620*r - 24368. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 513337, 2053282, 4619847, 8213026, 12832813, 18479202, 25152187?\n\"Answer: -f**3 + 513316*f**2 + 4*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54475434209\/1525 - 35721594. Let z = l + -210\/61. Calculate the common denominator of z and -58\/7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3221 = -3*k, 7*k = 3*k - 7*z + 4306. What are the prime factors of k?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1639 = -49*u - 3065. Let m = 32 + -18. List the prime factors of u\/4*m\/(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3724*v + 462. Let h(a) = 196*a - 24. Give 4*c(g) + 77*h(g).\nAnswer: 196*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -5, 0, -12 in decreasing order.\nAnswer: 0, -1, -5, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**3\/6 + f**2\/2 - 4*f - 4. Let t(l) be the first derivative of w(l). Give t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -3172, 2.\nAnswer: -3172, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(95)\/sqrt(5) - sqrt(19)) - (-4 + sqrt(931))**2)*-4 + 0.\nAnswer: -224*sqrt(19) + 3787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 + 2*x - 9. Suppose -4*s = 4*d, -278*d = -281*d + 2*s - 20. Give y(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000539 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*q**5 - 100*q**4 - 5*q**3 + 30*q**2 = 0. What is q?\nAnswer: -1\/2, 0, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 + 15\/(-20). Let n(y) = -y**3 - 81*y**2 + 3184*y - 659. Let l be n(-110). Sort l, j, -5 in descending order.\nAnswer: l, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246159085?\nAnswer: 5, 4271, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29160 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96344 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 248 = -2*b, -5*b + 2*b - 407 = -q. Let v = b - -132. Let w = 0.2 - 0.09. What is the smallest value in v, -2\/13, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-3 - 5)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -730871610*o. Let l(q) = -q. Calculate l(i(k)).\nAnswer: 730871610*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 5*y**2 + 393*y**3 + y + 408*y**3 - 1186*y**3 + 0*y**4 - 12 + 386*y**3 to v*y**2 + g*y + o*y**3 + w + t*y**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-14) - 6\/14. Differentiate t - 4 + 3*d**2 - d**2 wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, -2\/129, 36.78?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3 + 3*x**2 + 9*x + 21. Let t be y(7). Suppose -6*j + 264 = -2*j + 4*g, 0 = -3*j + 4*g + t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/9 + 34*x**2\/9 + 62*x\/9 + 10\/3 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139604 is divided by 284899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 571, 1154, 1741, 2332, 2927?\n\"Answer: 2*g**2 + 577*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1426 + -558. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466*d**4 - 2*d**2 - 912*d?\nAnswer: -5592*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 14 + 4)*(-2*r + r - r) + (2 - 2 - 2)*(-6*r + 2*r + 2*r) to h + c*r and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 14 - 956*l + 767*l in the form p*l + a and give p.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrarraprrrp. What is prob of sequence apr?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {a: 5, s: 2, w: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + -3 + 8 - 15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + 64. Suppose -3*v - 2*v + i = 0. Suppose 10 = -2*u - 2*x - 8, -x - v = 4*u. Which is the closest to -1\/3? (a) u (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/(z*z*z\/z**(-3\/5)))\/(z\/(z*z*z\/z**(-2)*z)*z**(-1\/2)\/z) assuming z is positive.\nAnswer: z**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -19.1. Let j = h + 0.1. Does 1\/3 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4349 + -4347. What is the closest to -1\/3 in -3, p, 0.2, -20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 46. Let f be (-3)\/(-4)*(25 + 3)\/7. What is the highest common divisor of f and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 102. Is 10 a factor of (s\/4)\/(4\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.4, 5\/17, -11\/3, -5, 0.1, 4 in descending order.\nAnswer: 8.4, 4, 5\/17, 0.1, -11\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjujuuuuuwuwj. What is prob of picking 1 w and 1 u?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 692 and 24?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.81244ml in litres?\nAnswer: 0.03781244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -4, -0.0406, 0.5?\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 - -197. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Is (-6)\/q*(-2 + 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1069\nAnswer: 9\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) + 62\/168. Let x(o) be the second derivative of 1\/8*o**4 + 3\/40*o**5 + 1\/60*o**6 + 0*o**2 + 0 - o + y*o**3. Factor x(w).\nAnswer: w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -17*y + 15*y. Factor 0 - 1\/2*g**2 + 1\/2*g**y - 1\/2*g + 1\/2*g**4.\nAnswer: g*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/180)\/(1218\/36)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/25 + (-3542)\/(-55).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72703*h - 72704*h + 218034*h - 72626*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18633511, -18633502, -18633493, -18633484, -18633475, -18633466?\n\"Answer: 9*c - 18633520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 95?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q**2 + 25. Let f(c) = 9179*c. Determine f(t(z)).\nAnswer: 110148*z**2 + 229475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1197903 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raarrarnas. Give prob of sequence rn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z. Let t be q(8). Suppose 17*o = 16*o + 117. Let d be o\/13*3\/9. Solve -v + 2 + d = t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5485 = -5*d - 2*f + 2, 0 = -2*f - 8. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 596.7485 millennia?\nAnswer: 5967.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, -5, 66 in decreasing order.\nAnswer: 184, 66, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 + 200. Suppose -11 = -2*j - 3*m, o = j + 4*m - 11. Solve -q - j + 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714.546 milligrams in tonnes?\nAnswer: 0.000002714546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38968 is divided by 322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4767 - -3775. Sort 3, -1, -5, w.\nAnswer: w, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5571198 a multiple of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*q + 3 = -27, 4*l - 2*q + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 73176.\nAnswer: 804936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2 + 2*m + 3. Let t be l(-1). Solve -3*r = -t*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.319272 + 524792.\nAnswer: 524792.319272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/67354 and 73\/1666?\nAnswer: 471478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92 in 0, 1116, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (10\/15 - -1). Let v be (-1)\/(-1)*2 - 2. What is the nearest to v in 0.2, u, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 5, 0.07, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 + 129*a + 14. List the prime factors of i(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**4 - 155*j**3 - 9*j - 154 wrt j.\nAnswer: 108*j**2 - 930*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 1276*d - 84435. What is n(70)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, -1\/2, -54?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*3\/(-162)*-10?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.86 - -27.86. Put y, 6\/5, 24 in descending order.\nAnswer: 24, 6\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31032101 - 1230133?\nAnswer: -32322300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, r: 3, o: 3, g: 2, a: 1, j: 5}. Give prob of picking 1 z, 1 a, and 2 j.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*r - 60. Let y be r\/10*(-5)\/(-2). Let u be (-21)\/14*y\/42. What is the closest to u in -0.3, 2\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/((-13950)\/(-93)))\/(((-1)\/24)\/1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60340977 divided by -6\nAnswer: -20113659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 51 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 1, j: 2}. What is prob of sequence jzjz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/130 and 61\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -1\/3 (c) -0.070192 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7. Sort -0.3, 0.1, p.\nAnswer: p, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (5 - -1) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51099 is divided by 166.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -159*r - 482. What is p(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-4)\/18*212*12\/16?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -0*l - 3*l + 26, 4*l = -4*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 57\/(-247) - 81\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3112.104485 to one dp.\nAnswer: -3112.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*t = -2, 97*j - 93*j + 10 = -2*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 68*c + 65*c + 2, 46 = 4*n + 7*c - 2*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 226, -9 in increasing order.\nAnswer: -49, -9, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let l(c) = -c**3 - 10*c**2 - 11*c - 12. Let q be l(-9). Let o be (-14)\/(-6) - 2\/q. What is the biggest value in 3, o, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/13 - 628*s**4\/13 + 64880*s**3\/13 - 2114912*s**2\/13 - 9258464*s\/13 - 9528128\/13.\nAnswer: 2*(s - 106)**3*(s + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10854 and 6633?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716700 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 13*v**5\/20 + 4*v**2 - 8*v + 8. Let w(j) be the first derivative of l(j). Differentiate w(s) wrt s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 180*z - 515. Calculate l(-87).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:32 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-190) + 1920\/190 + -10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 20. Solve v = -f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.888 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 82 - 36 - 46 + a**2. Let g(s) = -99*s. Give g(p(b)).\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2. Let s(w) = w**3 + 8*w**2 + 5*w - 10. Let h be s(-7). Let o(a) = a + 0*a - h*a - a. Calculate o(z(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -16?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7469.999 + 7473. Let a = 3.33 - y. What is a rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in 69, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by 48.\nAnswer: 101\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/105)\/(56\/(-98)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.02525 - 0.02525. Which is the third biggest value? (a) -361\/5 (b) 2\/17 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4732*i + 2362*i - 16*i**2 + 2370*i.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011796 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 5*w - 5*w + 0*w - 5*w + 6*w + (0 + 0 + 3*w)*(-2 - 2 + 3) + 3*w - 2*w - 2*w to a + b*w and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 560.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 0, -2*a - 24 = 2*l + 2*l. Let r(y) = -y**3 - 15*y**2 + 16*y + 9. Let g be r(a). Calculate the highest common divisor of 387 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 5 - 2289*x + 50 + 2286*x + x**3 + x**4 in the form k*x**3 + f + h*x**2 + n*x + b*x**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205573741?\nAnswer: 17, 31, 390083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -599 + 1376. Let u = x - 98. List the prime factors of u.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38105 or -19766?\nAnswer: -38105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202868, 202908, 202950, 202994, 203040, 203088, 203138?\nAnswer: 203190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/44)))\/(z\/(z\/(z*z**9)*z)) assuming z is positive.\nAnswer: z**(-395\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t**3 + 28*t**2 - 655*t + 1303. What is k(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52704 divided by -6?\nAnswer: 8784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -3, 8, -6, 3 in descending order.\nAnswer: 8, 3, -3, -6, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42833 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 421\/3 + -140. What is the second biggest value in 2\/7, r, -3, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 0*m)*(-75*m - 43*m - 109*m).\nAnswer: 227*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/80 + b**4\/3 - 8*b**3\/3 + 22*b. Determine j, given that f(j) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -597. Let z = h + -109. Is 66 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9581 - -0.0419. Which is smaller: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448.1*-60.\nAnswer: -26886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -582*b**2 + 11820*b + 8441. Determine p(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/10)\/((-2)\/(-10)). Suppose 6*q + y = 2*q. Let x = -112 - -112.1. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64\/51 - 27\/17. Let o be 10\/(-25) - (0 + -1). Which is the closest to w? (a) 6 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14443352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 3*i - 2*i. Let p be (-2)\/7 + i\/(-84). Let u = p + 19\/4. Sort -0.1, u, 0.4 in decreasing order.\nAnswer: 0.4, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -1. Let x be (j\/(-6))\/((-8)\/(-6)). Which is smaller: x or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 equal to 1036\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12405445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -429214, -429237, -429276, -429331, -429402, -429489, -429592?\n\"Answer: -8*f**2 + f - 429207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-41216)\/66976*26\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/3 > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -10. Let c = n + 54. Calculate the remainder when c is divided by 204\/9 + 4\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2*v - 18*n*v*z + n*z + v*z + 3*v + z wrt n?\nAnswer: 2*n*v - 18*v*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 51.63. Let a = x - -0.3. Let u = 6 + -9. What is the nearest to a in 0.2, 3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 - 329 + 2680068*p - 2680068*p to z*p + m + a*p**3 + c*p**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34743 * -1262\nAnswer: 43845666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 0*k)*(-278 + 2976 + 2784 + 5401 + 1105).\nAnswer: -11988*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {g: 5, b: 1, o: 2, h: 11}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.334 * 0.121\nAnswer: -0.040414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 785*p - 525?\nAnswer: 785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26899.\nAnswer: 37, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8244 and 67784?\nAnswer: 610056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 - -1358?\nAnswer: 1357.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**3 + 9*m**3 + 19*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201648 + -96430. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**2 + 29*h - 13. What are the prime factors of j(3)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzddttzdzzttzdddz. Give prob of picking 1 t, 2 z, and 1 d.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -448, -440, -430, -418, -404?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48 (b) -232 (c) -163\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 1\/4, -2, 0.4451637?\nAnswer: 0.4451637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/25116 and -53\/812.\nAnswer: 728364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 3*j**4\/8 - j**3\/3 + 36*j**2. Let x(g) = -g**2. Calculate q(x(s)).\nAnswer: -9*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013342 (base 8) to base 10.\nAnswer: 530146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b127 (base 12) in base 4?\nAnswer: -10223233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64663 is divided by 317.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o + 9. Let c be 270\/(-24) - 2\/(-8). Let a(t) = t**2 + 14*t + 36. Let d be a(c). Let l(y) = 5*y - 4. Calculate d*j(m) + 7*l(m).\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(15\/(-2)))\/(888\/(-14985)))\/(14\/(-112))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7720 - 1611. Is 48 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z**(-1\/7)\/z*z)))**(-45) assuming z is positive.\nAnswer: z**(-585\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*w**3 - 86*c**2*w**2 - 41*c**2*w + 6*c*w**3 + 8969*c*w wrt c.\nAnswer: 2*w**3 - 172*w**2 - 82*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 12:58 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-1 - 1). Suppose -2*y - j = 1 - 7, 3*j = -t*y + 6. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0146 * 4\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (46 - (-4 + 21))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 2760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (-4 + 0 + 5)*(-2 + 6 - 2))*(-o**3 - 2*o + 10*o**5 - 1059739*o**2 + 1059739*o**2).\nAnswer: 30*o**5 - 3*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15243, 15249, 15253, 15255, 15255?\n\"Answer: -i**2 + 9*i + 15235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523 = -z + 532 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -45 + 1 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/13 + -1 + 2. Let i be 3 + (-56)\/16 + -2*1. Sort k, -0.3, i in descending order.\nAnswer: k, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/56*-1)\/(2*27\/48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013331417244 rounded to 5 decimal places?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1574*o - 8240. Give h(4).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1388 - -1414 - (0 + 1 - -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 1655*r**3\/3 + 413*r**2\/3.\nAnswer: r**2*(3*r - 413)*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/5 - 32*q**2\/5 - 68*q\/5 - 8.\nAnswer: -4*(q + 1)*(q + 2)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*m - a + 16, -2*m - 5*a = 39. Let g be 42\/24*(-3)\/m. Factor 1\/4 + 7\/4*j**2 + g*j**3 + 5\/4*j.\nAnswer: (j + 1)**2*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 20 = 0. Let j(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 5*b**3\/6 + 5*b**2\/2 - b. Let m be j(c). Is -0.4 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 0. Let k(u) = -u**3 - 5*u**2 - u - 5. Let j be k(-5). Suppose -4*y + j*y + 4 = 0. What is the lowest common multiple of s and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:43 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066514 is divided by 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.5 - 0.5. Let i = 28 - v. What is the smallest value in i, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 321*r = -84*r + 1113. Find x such that 2\/5*x**4 + 872\/5*x - 84*x**2 - 592\/5 + 62\/5*x**r = 0.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 2. Let j be 33 - (1 - -1) - f. Suppose 0 = 3*r + 2*a - 7, -4*r = -4*a - 7 - j. Solve 10 = 4*g - 3*v - r, 5*v + 20 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63309 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00326681 rounded to five decimal places?\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310 (base 4) to base 5.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 9, 6, 5, 6, 9, 14?\n\"Answer: n**2 - 8*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -413.9169 times 0.2\nAnswer: -82.78338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 3\/7, -0.5, -2 in decreasing order.\nAnswer: 3\/7, -0.5, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from rrje?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 3, -3*o = -5*w - 18. Let t = -0.47 + 0.07. Which is the nearest to 15? (a) 3 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/2)\/((-5)\/(-40)). Suppose 14*b - t = 9*b. Solve 0 = -4*j - 0*j + b*i, i = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bab8 (base 12) in base 14?\nAnswer: -1888c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730 is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*x - 9 = 0. Let p be (x - -89)\/((-2)\/(-1)). Suppose d - p = 2*g, g = -3*d + 19 + 82. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6*-1*3. Let o be x\/(-2)*1\/5. Is o greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102543 and 3990.\nAnswer: 1025430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15 = 0, b - 3*b - r = 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 9. Let n(w) = -17*w - 19. Give -6*n(c) - 13*s(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8 and -29\/748.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 9. Let z(w) = -9*w - 18. Give 5*q(j) - 2*z(j).\nAnswer: -2*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l**2 - 67*l**2 - 182*l**2 - 46*l**2 - 245*l**2.\nAnswer: -583*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1179*q = -1174*q + 31, -2*q = 2*h + 38 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -7047.\nAnswer: -28188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1283 + -1279. Solve x*a + z - 6*z + 1 = 0, 3*a - 2*z - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18372225 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: In base 3, what is 112222022 + 2?\nAnswer: 112222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 25 = 16*l. Let m(p) = p**2 - p - 18. Calculate m(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38916 + 0.10101.\nAnswer: -38915.89899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - g**2)*(3 + 3 - 4)*(2 - 3 - 14) as c*g**2 + w*g + q and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10609*d**3 - 15*d - 9131*d**3 + 15*d.\nAnswer: -19740*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1867 = n - 569, -3*n - 4*j = -7308. Suppose 0 = -4*k + 10*k - n. What is the highest common factor of 58 and k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1438 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -u + 2*u + 7, -14 = -u + 4*x. Solve -u*j + 18 = 2*c - 6*c, -2*c = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 71 = -972*k + 967*k, 5*x - 2*k + 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 2*h = -286, 5*k = -h + 30 + 18 + 26 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*p + 20 = 0, 76*j = 72*j - p + 5. Find a, given that j - 4\/5*a**4 + 0*a - 4\/5*a**3 + 0*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 73?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 17950406?\nAnswer: 89752030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 2:31 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-18 - (-11 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/sqrt(448) + (((sqrt(275)*-4 + sqrt(275) - sqrt(275)) + sqrt(275))\/sqrt(5) - sqrt(55)))\/((2*sqrt(88)*3)\/(1*sqrt(648))) + -4)**2.\nAnswer: 93*sqrt(5)\/2 + 47341\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (8 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:50 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -2.65?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/875 - 765661\/3500. Which is bigger: w or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -634, -2473, -5528, -9793, -15262, -21929, -29788?\n\"Answer: s**3 - 614*s**2 - 4*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -67972, 0 in ascending order.\nAnswer: -67972, -19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = s + 3, -4*l + 0*s + 11 = -s. Suppose -3*m = -5*v + 35, m = l*v + 5*m + 4. Is 24 - (v - (1 - -1)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -16. Solve j = -2*z, v + 2*z = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y**3 - 26*y**2 - 9*y + 9. Let k be h(2). Solve -9*o - k = -9 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 882084440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - p = p - 96, -4*p = 4*k + 432. Let n(y) = 9*y**2 - 8*y + 23. Let r be n(9). Let l be (-2)\/(-10) - k\/r. Which is bigger: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.21. What is the nearest to w in 2\/9, 0.4, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + -4*((sqrt(448)*-3*-3 + sqrt(448) - sqrt(448)) + -3*sqrt(448) + -4)).\nAnswer: -1152*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 76*z**2 - 207*z - 163. Is m(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1527 + 1534. Calculate the remainder when 319 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 106, 102, 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -252297, -504447, -756591, -1008729, -1260861, -1512987, -1765107?\n\"Answer: 3*q**2 - 252159*q - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-9) - 2\/(-6). Let j be -3 - (0 - u) - -4. Suppose 5*p - g = 340, -j*p + 296 - 24 = -3*g. What is the greatest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2. Let f(w) be the third derivative of -23*w**4\/24 - 5*w**2 - 16*w. What is k(f(d))?\nAnswer: -1058*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 - c**4\/2 + c**3\/2 - 2*c**2. Let d be h(-12). Suppose 4*p = -p + d*a + 5, 5*a - 25 = 0. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -l + 3*q + 392, 1633 = 4*l - q. Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -20. Let n(k) = -7*k - c*k + 29*k - 15*k. Let m(x) = -5*x - 3. Give -m(f) - 3*n(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 121*m**2 + 1 + 122*m**2.\nAnswer: m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 24 = -4*d, -11*p = 4*d - 13*p + 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6842550 = -134*q - 61*q. What is q rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3\/(-18)*1). Let w be -1*(p\/2 - 0). Suppose w*f = 2*n - n + 110, 5*f = -n + 170. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248181581*d**3*x + 16972736*d**3 with respect to x.\nAnswer: -248181581*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, k: 2, p: 1}. Give prob of sequence ksp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78166 and 15827.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 197266 (b) -2\/11 (c) 0.1 (d) -0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 minus 10200846175450?\nAnswer: -10200846175449.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 262 (b) 2\/7 (c) 14 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 313 = 55*h - 268 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*m**2 - 7*m**5 + 109*m**2 - 2*m**4 + 2*m**4 - 2*m**5 + (0*m**2 + 2*m**5 + 0*m**2)*(3 + 2 - 6).\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = 13*b - 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*z - 106*z = -36*z - 19662 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-6) + (-11)\/(-2))*38. Suppose -10*u + c = 13. Let r(b) = 2*b**2 - 23*b - 9. Calculate the least common multiple of 1 and r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161866, 161880, 161894, 161908, 161922?\nAnswer: 161936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (65\/3)\/(158\/207612)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2 - (-15 - -12) - (-8376 + (4 - 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6402006 = 3*u + f, -2*u = f - 4268004. Suppose 2*t = -c + u, 21*t - 18*t - 5*c = 3200990. Round t to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-18)*24\/(-2). Differentiate 16*x**4 - 13*x**4 - p + 2 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**8\/1344 - p**6\/144 + 5*p**4\/12 + 4*p. Let u(j) be the third derivative of k(j). Factor u(d).\nAnswer: 5*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*o - 7 = 5, 3 = 2*r + o. Let g = -759 + 761. Solve -g*b = b - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:37 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 5*m - 38, 49 = -2*p + m. Let u = -14 - p. Calculate the remainder when 11 is divided by (-560)\/(-90) + (-2)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 5*c**2 - 236*c - 625. Determine x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/2*(-3)\/18*-6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-7 + 16 - 5)*(27*p**4 - 3*p**4 + 0*p**4 + (-4*p**3 + 5*p**3 + p**3)*(-p + p - p)).\nAnswer: 88*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 76711.7046 to the nearest 100.\nAnswer: 76700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*s - 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 2333, 5255, 9355, 14639?\nAnswer: 21113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 1490564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1182652*q**2*r*x**3 + 3*q*r*x**3 + 7677522*r*x**3 with respect to q.\nAnswer: -2365304*q*r*x**3 + 3*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 - 2*m*r**2*z + 16*m*z - 2*r**2*z + 9*r**2 with respect to m.\nAnswer: 8*m**3 - 2*r**2*z + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 1\/9 (b) 4\/23 (c) -1 (d) 2\/35 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, y: 1}. Give prob of sequence fy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let x = -97 + 125. Suppose 20 = 32*u - x*u. Calculate the highest common divisor of u and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 865.6769g?\nAnswer: 865676900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13501.389 to the nearest integer.\nAnswer: 13501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtnrrdy. Give prob of sequence rrw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1000122 (base 3) to base 5\nAnswer: 10441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -27*d. Determine r(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2765*f + 1266*f + 1552*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101101111101011010100 + -100?\nAnswer: -11100101101111101011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/25 + 1094*a**4\/15 + 4379*a**3\/30 + 219*a**2\/2 + 4481*a. Suppose m(s) = 0. Calculate s.\nAnswer: -1\/2, 1095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*n + 35 = 0, n - 73 = 4*c - 54 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*1 - sqrt(252)) + 5 + sqrt(252))**2 - 5*(sqrt(252)*1)**2) + -3 + 2.\nAnswer: -984 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 4*p + 5*p + 15 + 2 - 16*p. What is w(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*o**4)*(0 + 4 - 2)*(2 - 1 + 0)*(-4 - 2 + 3) to k*o + x*o**3 + m + i*o**4 + r*o**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 - 0.72. Let a = 0.08 - u. Let i be (-6 + 2 - -6 - 5)\/(-3). What is the smallest value in i, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwguuywwwu. Give prob of sequence wwu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/5 - -11\/20. Let y = 44.5 + -44. Sort y, -0.1, m.\nAnswer: m, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*w**2 - 4446969*w\/8 - 166761\/8.\nAnswer: -3*(w + 18529)*(80*w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 + -3 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + u**4 - 3 - u**2 - u**4 + u**2 + 2*u**4 - 3*u**4 + 2*u**4 + (3*u**3 + 3*u**3 - 7*u**3)*(u - 3*u + u) + 3*u**4 - u + u.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -8*x + 11*x + 21, 0 = 4*y + x - 58. Is 8274\/15 - (-6)\/y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47 + -27 - (16 + -34). What is the highest common divisor of u and 50578?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-2)\/14)\/(350\/245)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10387034 and -27\/2975?\nAnswer: 259675850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -900*-4\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*q**2 - 510*q + 510*q)*(-19 + 46 - 41).\nAnswer: 2058*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psmgmghmsmssmmmm. Give prob of picking 1 h and 1 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33846, -67531, -101216?\n\"Answer: -33685*h - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(539) + (sqrt(539) - (sqrt(539) + 1 + sqrt(539) + 3))) + 2 + (sqrt(539) - 3*(sqrt(539) + -1)))*-4)**2.\nAnswer: -9408*sqrt(11) + 41552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 - (5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from qqqqqqqvqvqvqvvqvq?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + -27 + ((15 - 35) + -1 - -17)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2)*v*v)\/v*v**10)**(-44)\/(v**(-2\/5)\/v**6*(v\/(v**(3\/8)\/v*v))\/v*(v*v**6\/v)\/v) assuming v is positive.\nAnswer: v**(-17529\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 1, v: 2, q: 4, d: 1}. Give prob of sequence hb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 39. Solve 7 = 2*d - 6*d - q*l, 5*d = 3*l + 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/95)\/(171842\/(-22363)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:06 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 4*l + 8, z + 4*l = 6*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:16 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z + 4*z. Suppose -k + 31 = 2*j, -z*k - 2*j + 0*j = -106. Solve u + k = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 2. Let s be d(-3). Let h = -28 - s. What is the units digit of 2 - 0 - -1 - h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 116*t**2 + 2*t + 1. Let w be v(-1). Suppose -3*c + w = 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 54*x - 116. Let y be h(10). Suppose 7*d + 116 = y. What is the remainder when d is divided by (2 - 22\/5)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 m, and 1 k when four letters picked without replacement from mmzdsky?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2851, -5703, -8555?\n\"Answer: -2852*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(54)\/(-1*sqrt(6)))\/(sqrt(243) + sqrt(243)*-2 - sqrt(243) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8209 (b) -0.58 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*s + 7365831 - 7364297 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 14. Solve 0*k - 2*k - 5 = -l, 2*k - 5*l = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2755 + -2722. Calculate the remainder when 2143 is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10*35\/28. Let q = 45 - 46. Let j = 15.8 + -16.3. What is the nearest to 1\/3 in r, q, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 11421540.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 22*f + 69*f + 1 = 30*f - 7, 3*i = -4*f - 61 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from {x: 6, o: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1975*b*j**6 - 26*b*j**3 + 2*b + 2*j**2 - 2*j - 46566 wrt j?\nAnswer: -237000*b*j**3 - 156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 5*m + 370 = -19*n, -4*m + 12 = 0. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20 = 52. Let t(m) = 3*m - 45. Let r be t(11). Does 36 divide (-298)\/(-6) + r\/i - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, 805, 4060, 11009, 23032?\nAnswer: 41509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454 and 548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 106.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -34*r**5\/5 - 27*r**2 - 13. Find the second derivative of o(s) wrt s.\nAnswer: -408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.1 - -13.78. Let f = -3.9 - w. Let n = 0.08 + f. Sort 3, -1, n in descending order.\nAnswer: 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 174*j + 4666. Determine t(-37).\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83855034467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 180*o.\nAnswer: -5*o*(o - 6)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**7\/6720 - o**6\/576 + 5*o**3\/2 - 7*o. Let p(b) be the second derivative of r(b). What is v in p(v) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7137 and 43\/1830.\nAnswer: 71370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 8*d. Let y(v) = -v**2 - 2*v. Let g(u) = -2*o(u) - 9*y(u). What is the second derivative of g(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -840, -794, -748, -702, -656, -610?\n\"Answer: 46*p - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12002 + 12001.7. Which is greater: s or 38\/13?\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b8 + 30?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0 + 0*b**6 + 0*b**5 + 1\/210*b**7 + 1\/6*b**4 - 6*b**2 + 0*b + 0*b**3. Find the second derivative of r(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 248\/10 + 2\/10. Suppose -4*y + i = -7. What is the highest common factor of y and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 345*i**3 + 25 - 147*i**3)*(-3 + 3 - 2*i**2 - 3*i**2 + 0*i**2 + 5*i**2 + (i + 5*i - 4*i)*(3 + 2*i - 3)).\nAnswer: -1968*i**5 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 541 - 14073\/26. Let n = 27\/52 + v. Put -2, 0.4, n, -1 in increasing order.\nAnswer: -2, -1, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/3)*(j*j\/(j\/(j\/(j\/((j**0*j)\/j))*j*j)*j*j))\/j)\/(j**0\/j)**(-47\/5)*(j\/j**(3\/4))\/(j\/(j*j*j**(-3\/5)))*(j**1)**(-13) assuming j is positive.\nAnswer: j**(-241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2)\/(-3) - -2. Suppose -n + 4*l = w*n - 25, -n + 3*l + 5 = 0. What is the third derivative of n*t**2 - 3*t**2 - 3*t**5 + t**5 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3346299 and 80055.\nAnswer: 16731495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3)\/(-3 + 1). Let o be (t\/1)\/(-2 - 1). Factor o*y - 2\/7*y**2 - 30\/7*y**4 + 18\/7*y**5 + 0 + 2*y**3.\nAnswer: 2*y**2*(y - 1)*(3*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 131775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18 = -7*v. Calculate the greatest common factor of 81 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1215200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-75)\/(-6))*(-2)\/(-3). Let s(w) = -w**3 - 4*w**2 + 10*w - 10. What is the tens digit of s(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01137 * 5.\nAnswer: 0.05685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17889*z**3 - 268*z**2 + 268. Let q(l) = -201*l**3 + 3*l**2 - 3. Calculate 3*i(h) + 268*q(h).\nAnswer: -201*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) 176 (c) 1\/12 (d) -4\/3 (e) -8\/3 (f) 10 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -t*s = 4*x - s + 18, 4*x - 3*s = 7. Let r(l) = 2*l**3 + 2*l**2 - 2*l. Let u be r(x). Let j(y) = y - 2. Give j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Let j = -61\/45 + 17\/15. Which is the second biggest value? (a) 1 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*o + 960 = -3*o, -4*j = 4*o + 1308. Let q = 2272\/7 + j. Let g = -2.3 - -1.3. Which is the nearest to g? (a) 0 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*p**2 - 1 + 2*p + 103*p**2 - 70*p**2 - 4 in the form n + o*p**2 + f*p and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 109*a**4 - 9891*a**3 - 80879*a**2 - 94762*a + 185640 = 0.\nAnswer: -52, -7, -3, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.1613km to nanometers.\nAnswer: 379161300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.19 - -109.19. Let l = -11879 - -11770.69. Let p = h + l. What is p rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763584.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033, -203.9, 0.3 in descending order.\nAnswer: 0.3, 0.033, -203.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 265 = 13*g, -4*l - 2254*g - 185 = -2249*g for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - (-14)\/(-24). Which is the third smallest value? (a) -2\/5 (b) r (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 3562*m - 108 + 45 + 45 + (6*m - 2*m - 5*m)*(0 - 3 + 4) as b*m + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.04, 12, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521691*c + 5*c**2 - 1521691*c - 4*c**2 - 5*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 248167*z**2\/6 - 2481761*z\/6 - 744531\/2.\nAnswer: (z - 248177)*(z + 1)*(z + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -6*z**2 - 1\/24*z**4 + 1\/21*z**7 + 0*z**6 + 0*z + 0*z**5 + 0 + 0*z**3. Find the second derivative of c(o) wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3598 + 3595. Put -1, -1115, -2, n in ascending order.\nAnswer: -1115, n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/17 - 12*(-44)\/(-5049)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7433.945 + 7434. What is the third smallest value in 0.07, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 3*k**2 + 2*k**2 + (-7 + 3*k + 7 + (-2 + 3 - 2)*(-3 + 2*k + 3) - 1 + 2*k + 1)*(-3*k + 3*k - 4*k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.6 + -22.1. Sort -2\/7, 0.3, 4, i.\nAnswer: -2\/7, 0.3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282355 + -138888. Factor -4*h**5 + 143467*h**2 - 68*h**4 - z*h**2 + 152*h**3.\nAnswer: -4*h**3*(h - 2)*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 11. Let v be i(6). Suppose -127 - 113 = -v*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 1, z: 1, u: 1, t: 1, e: 2, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/24 - 287*m**4\/24 + 34*m**3 + 46*m**2. What is the first derivative of x(v) wrt v?\nAnswer: -15*v**2 - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {x: 3, f: 2, s: 6, e: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 139*o - 658. Let i(l) = 87*l - 439. Let m(a) = -5*h(a) + 8*i(a). Let q(z) = -z. Calculate m(q(s)).\nAnswer: -s - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143 + 155. Calculate the remainder when a is divided by (10\/(-6))\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 4*a + 3*a)*(3 - 4 + 7)*(-23*a - 20*a - 74*a - 42*a) as h*a + o*a**2 + p and give o.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3066 and 28678853.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/11600 and 37\/4408.\nAnswer: 220400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*v + 126, 2*v = -5*d - 189 - 17. Let h be d\/(-3) - 4\/(-6). Suppose -h*r + 11*r = 0. Solve r = -y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 36 = -2*q. Let h = -7 - q. Suppose h*x = 31 + 35. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13169, -52714, -118643, -210974, -329725, -474914?\nAnswer: -646559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.12342 centuries to years.\nAnswer: 5712.342","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.3 and -0.297129?\nAnswer: 5.597129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + n + 1. Let q be g(-1). Let l be 1*2 + 2*q. Let b = 7 + l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 12*o**3 + 9*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*h = 150 - 167, 4*s + 2*h = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693 = -30*f + 347 + 460 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 10. Is q(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 671, 655, 639, 623?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 + 3*d + 3. Let m be (32 + -27)\/(-35)*(0 + -21). Determine g(m).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*h + 524*h + 376*h)*(5*h - 4*h - 2*h)*(0 + 0 - 2)*(11*h**2 - h**2 - h**2).\nAnswer: 8262*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 165 = 44*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-4) - 3\/(-4). Let q = -44 + 43. Let a(w) = 9*w**2 + w. Let h be a(q). Solve -z*f - h = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:47 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -260939720 rounded to the nearest one million?\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.32 - 0.32. Let u = -48 + l. Let k = -6 - -11. What is the second smallest value in u, -0.5, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.46 - 0.04. Let p = -0.5 - a. Let f = p - 5. What is the smallest value in f, -2\/3, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -976*v**2 + 3*v - 3. Let p be m(-2). What is the units digit of (-37)\/296 - p\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*j + 20 = 5*j, d - 2*j + 8 = 0. What is the least common multiple of 10 and (-78)\/26 + d + 18?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*i - 3*f + 2, 5*i = 2*f + 14. Let s be (42 + -41)*10*1\/i. Solve -6 = s*n - 2*n - 3*z, 3*n + 30 = -5*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 829 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose c = 2*f - 3*f - 5. Let w(x) = 16*x - 13. Let v(n) = 11*n - 9. Let k(d) = f*w(d) + 7*v(d). Differentiate k(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 7, r: 4, f: 3, t: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 41, 0, -5 in increasing order.\nAnswer: -5, 0, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5990*j**3 + 0*j - 4*j + 3707*j**3 + 2284*j**3.\nAnswer: j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*t - 51, -7942*x + 3969*x + 3970*x + 3*t + 42 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-14) + (-6)\/(-4). Solve -a - a + 6 = -v, -2*v = c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 81. What is the remainder when 254 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 2*p**3 - 1 + 3*p**2 - p**3 + 3*p. Let a be u(-4). What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -818940.39 rounded to the nearest one hundred?\nAnswer: -818900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001110000010011111000 (base 2) in base 7?\nAnswer: 135132522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456190 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssfyy. Give prob of picking 1 f, 1 y, and 1 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, -684, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 4*y + 4*y)*(-1 - 4 + 3)*(-1 + 0 - 1) + 59*y - 22*y - 29*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12381*i - 198095. Give v(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 45486*b - 172414683.\nAnswer: -3*(b + 7581)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3, 128, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 7*v - j - 1, 5 = -2*v - 5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-2\/3))\/g)**(-6\/7))**(-23))**(7\/6) assuming g is positive.\nAnswer: g**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -140*a**4 + 36772965*a**3 + 109006830*a**2 - 6566645*a - 7880010 = 0.\nAnswer: -3, -1\/4, 2\/7, 262667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*k + 4*q, -k - 5*q = -28. Solve -18 = i - 5*n, k*i - n + 4 = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + x = 10, -5*f + 20 = 3*x - 5. Let m = -4 - -4. Put f, m, 3 in descending order.\nAnswer: f, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-123)\/287)\/(-6 - (-7 + 3))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/(-5)*34. Is -18 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7740 and 10481895.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**4 - 64*p**3 - 575*p**2 - 957*p - 447. Let i(n) = -46*n**4 + 320*n**3 + 2874*n**2 + 4786*n + 2236. Let s(q) = 3*i(q) + 14*j(q). Factor s(t).\nAnswer: 2*(t + 1)**2*(t + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 1936*o**2\/3 + 5801*o\/3 + 3866\/3.\nAnswer: (o + 1)*(o + 2)*(o + 1933)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 32, 3, -1, -18, 39.\nAnswer: -18, -4, -1, 3, 21, 32, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.54438 days to nanoseconds.\nAnswer: 738234432000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 14. Let o = u + 6.8. Put 1\/3, o, -0.4 in increasing order.\nAnswer: -0.4, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 36. Suppose 4*s + 0 - o = 0. Suppose -2*h + 3 = -s. Solve -6*b = -h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-s - 3*s + 2*s)*(6*s - 2*s + 0*s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m. Let r(j) = -104*j**2. Calculate r(b(s)).\nAnswer: -1664*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7515?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451 = -52*b - 399*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1)\/sqrt(6) - sqrt(126)\/(sqrt(7) - (sqrt(7)*-2 + sqrt(7))))\/(2*sqrt(216)*-4).\nAnswer: -sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031986 is divided by 7362?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017638224 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 230 - 121 + 2*y**2 - 112 - 26*y**4 + 106*y**4 to o + u*y + i*y**2 + c*y**4 + q*y**3 and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 22*u - 14. Calculate k(-26).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from xwxmnwx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2636 + -2610. Calculate the highest common factor of j and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*o + 122 = -20*o, -3*l + 75 = -7*l + 1377*o - 1390*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 422313.6ml in litres?\nAnswer: 422.3136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Suppose o*b - 7*b + 20 = 0. Suppose b*m - 2*a = 157, -5*a - 13 = m - 2*m. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 286*j**2. Let x be f(1). Suppose -3*s + x = -2*o - 4*s, -721 = 5*o + 4*s. Let p = 262 + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 740.33 and 789.3?\nAnswer: 48.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219029\/210 - 1043. Find the common denominator of 39\/28 and c.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (-6*sqrt(448)*-1*-6)**2 + 1.\nAnswer: 580611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -224*k**2. Let w(z) = -11*z. Give t(w(l)).\nAnswer: -27104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9456*h + 8235*h + 20188*h - 10187*h.\nAnswer: 27692*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + h. Let m(a) = -a**2 - 9*a + 9. Let r be m(-10). Give f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*i - 2*o - 4, -36 = 4*i + 4*o. Let g = 10 + i. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/28))**(12\/11) assuming k is positive.\nAnswer: k**(81\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8334.766 to the nearest 10.\nAnswer: -8330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - -25.87. Let l = y - 1. Let a = l + -24.99893. What is a rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5*t**2 - 3. Let h(c) = 29*c. Let r(k) = 3*h(k) + 8*s(k). Let w(g) be the first derivative of g**2 + 7. What is r(w(f))?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/17 + -59\/34. Let o = 9 + -9.5. Put o, 2, h in descending order.\nAnswer: 2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434.823 + -4.977. Let x = 406 + p. Round x to zero decimal places.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s. Let q(v) be the first derivative of -5*v**2\/2 - 3. Let u(b) = -3*q(b) - 8*r(b). Let d(p) = p**2. What is u(d(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 14. Give k(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 9. Let u be 0 - i\/(-3)*-1. Which is smaller: u or 22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 0)*((-1 - 4 + 3)*(0*t + 2*t - 4*t) - 1 + 1 + 2*t) to p + a*t and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151830 divided by -482.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2)\/((-8)\/(-92)). Let k = 40 - n. Let w be -50*(3 + k\/3). What is w rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 37, 39, 41, 43?\n\"Answer: 2*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -4 (c) 0.76 (d) 3 (e) -0.2 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.44 - -1.375. Round y to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 12*t - 8. Solve 3*d = t*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628461 to the power of 1\/2, to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 9*u**2 - 5*u - 4. Let w be o(11). Round w to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -3191.\nAnswer: -34\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/765 and -75\/1042.\nAnswer: 797130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:55 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1829*o**3*w**2 + 2944*o**3*w - 9*o**2 + 2*o*w**2 + 2*o*w - 8725*o - 3*w**2 - 2 wrt o?\nAnswer: 10974*o*w**2 + 17664*o*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbee. Give prob of picking 1 b and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**2\/2 - 2*r - 2. Let j be b(-8). Suppose -j*h - 28 = -8*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*q - 74080*q**2 + 74080*q**2 + 702*q**3 + 75*q**3 to the form r + k*q**3 + f*q + d*q**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/656065 and 73\/10?\nAnswer: 1312130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 812?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/7, 700?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212 * -0.289.\nAnswer: 61.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:29 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -362, -910, -1674, -2660?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 1, -36, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(2*(sqrt(9) - sqrt(441))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 + 11. What is the remainder when -1 + 2 + -2 - -21 is divided by k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/(-19 + -7 + 4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 315*j**2 - 19. Let z(l) = -8*l. What is g(z(w))?\nAnswer: 20160*w**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -856\/5 < -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j + 2. Let p be g(-17). Let i be 2\/4 - p\/(-12). Suppose -14*q + i*q + 8 = 0. What is the least common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5590 and 6708.\nAnswer: 33540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1906045 seconds in milliseconds?\nAnswer: 190.6045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -7. Let q be 2\/(-3) + (-6)\/n. Solve 2*g + g + 15 = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 less than -202778?\nAnswer: -202776.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 1. Suppose -27*u + 61 = 7. Suppose 0 = 5*o - u*s + 17, 5*o = 2*o + 5*s + 5. Let h(c) = 8*c + 2. Calculate o*h(i) + 14*q(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 154 (c) 0.064 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -1887\/7. Let k(i) = -21*i + 716. Let g be k(34). What is l in -p + 3\/7*l**g + 0*l = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 6*q - 6. Let c(w) = w**2 + 2*w - 2. Let j be c(-4). Let k be g(j). Let u = k + 10. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 40215*i**2 - 5*i + 40. Let r be f(11). What is r rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 1)*(-4*i + 0*i + 0*i) as d*i + k and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 270 = -4*v. Let b = -31 + v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 15*w + 4. Let d(m) = 5*m**2 + 60*m - 18. Determine -9*c(s) - 2*d(s).\nAnswer: -s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 68. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3635?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14289, 21753, 29217, 36681, 44145?\n\"Answer: 7464*h + 6825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76364809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n*n**3*n)\/n)**(-8)\/((n*n\/(n\/n**5))\/(n*n**(-2\/19))) assuming n is positive.\nAnswer: n**(-1009\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 54. Let u be (19 - 29)\/(0 - v\/(-6)). Let n be (6\/(-4))\/(u - 9). Which is the nearest to -2? (a) 1\/2 (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10026.8792 to the nearest integer.\nAnswer: -10027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 2, x: 4}. What is prob of sequence axv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -15\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = -4*p. Let u(y) = -12*y**3 - 2*y**2 + 1. Let m be u(p). Suppose -170 = -5*q - 5*n, 5*q = -4*n + 264 - m. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**3 + 5*v**2 + 19*v**3 - 22*v**3 - 3 + 143*v.\nAnswer: -41*v**3 + 5*v**2 + 143*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 73124074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/2099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 1 = 0. Suppose 3*l - 12 = -3*n + 4*n, 3*l = -r. Which is greater: n or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1246*i + 9099. Let s be q(-7). Calculate the highest common divisor of 58 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/33 - (-10)\/(-55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*b - 23*b + 24*b + (-5*b + 3*b + 3*b)*(1 + 2 - 4) to d*b + w and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (254\/(-4))\/((-16)\/2336) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = -2*w - 0, 2*p + 2 = 4*w. Suppose -3*k - k + 12 = w. Put 1\/4, -3\/4, k in descending order.\nAnswer: k, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 163*y**2 - 4 - 52*y**2.\nAnswer: 111*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 38 = 6*b. Let p = b + 42. What are the prime factors of (16\/6 + -3)*(p + -217)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 7*o. What is w in 3\/2*w**2 + o + 1\/4*w + 9\/4*w**3 = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 141*x**2 - 162*x + 9. Let l be t(-5). Which is greater: 4341 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(304) - (sqrt(304) - (sqrt(304) + 2))*-2) + sqrt(304) - (sqrt(304) + (sqrt(304) - (3*sqrt(304) + 3))))*4)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + 6*(5 + (-4*(sqrt(162) + sqrt(162) + 0) - (-2*(1*sqrt(162) + sqrt(162)))**2)).\nAnswer: -15524 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1570*q**2 - 709941*q**4 + 709941*q**4 + 442*q**6 wrt q?\nAnswer: 53040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**3 - 3*i**2 - 16*i - 91. Determine u(-5).\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 3*g - g + 65*g**3 - 36*g**3.\nAnswer: 29*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 != -40\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Suppose k = -x - 27. Does 4 divide (-15)\/(-2)*x\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1813*-41284\nAnswer: 7484.7892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 50, -2, -72, -160, -266?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 4*t, -2*v - v - t = 16. Let p(g) = g**4 - g**2 + g. Let c(u) = 8*u**4 + 10*u**3 + 10*u**2 + 14*u. Let h(f) = v*p(f) + c(f). Factor h(k).\nAnswer: 2*k*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 10.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020864731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:18 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let g be u(2). Let a(z) be the second derivative of 0 - 1\/6*z**g + z**2 - 2*z. Differentiate a(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 3. Let j be 4*-2 - (40 - 48). Let t(l) be the third derivative of 0*l**3 + j*l**4 + 0 - 32*l**2 + 0*l - 1\/60*l**5. Calculate t(y(f)).\nAnswer: -9*f**4 + 18*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -13*u**4\/24 - 5*u**3 + 47*u**2. Differentiate r(i) wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 129*m - 37. Let z be d(12). Suppose -3*q - 3*v + 1122 = 0, 2*v - 3*v + z = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -11 + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*7\/42 + 79\/3. Suppose -p*h + 5377 = -6206. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**4\/11 + 6*o**3 + 90*o**2\/11 - 162*o\/11 = 0. What is o?\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -3 (c) 37 (d) 99 (e) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let c = 18 - 8. Calculate the least common multiple of j(-5) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 105 and 831174?\nAnswer: 831069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147, -339, -531, -723?\n\"Answer: -192*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 32. Let v = c - -15. Let h(w) = 5 - 5*w**3 + 3*w - v*w + 0*w. Let m(d) = -9*d**3 - d + 9. What is 5*h(f) - 3*m(f)?\nAnswer: 2*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1045644 by -174274.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -14 - -3) + -3 + (67 - 31).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 6. Let g be s(6). Suppose -5*o + 10 = 0, f + 5*o - 4 - 9 = g. Solve 0 = -5*p + 4*w - 0*w + 3, 5*p - 1 = f*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*t + 3*w + 1, 0 = 3*t - w + 1. Let a(x) = x + 0*x**2 + 2*x**2 - 2*x. Give a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*g**5\/5 - 1203*g**4\/5 + 7743*g**3\/5 + 11571*g**2\/5 + 2646*g\/5 = 0. What is g?\nAnswer: -63, -1, -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/200 + 17*g**4\/120 + 13*g**3\/15 - 3990*g. Factor c(n).\nAnswer: n*(n + 4)*(n + 13)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*p + 11925 = 3*o + 162*p, -3*o + 3*p + 11919 = 0. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1130*z - 1118*z - 6 + 3.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 50*x + 780. Let l(r) = 26*r + 391. Let j(o) = -2*a(o) + 5*l(o). What is the derivative of j(s) wrt s?\nAnswer: -4*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - ((-2 - 0) + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8324186 to the nearest integer?\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 3*a + 7*a - 1)*(-7*a**2 + a**2 - 5*a**2).\nAnswer: -11*a**3 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/9 + 2*i**3\/9 + 47*i**2\/9 - 16*i\/3 - 28 = 0 for i.\nAnswer: -6, -2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 600197147.214.\nAnswer: 600197145.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = -1. Let u(l) = 4*l + 2. Suppose 3*c - 2*t - 8 = 0, -3*c - 6*t + 22 = -t. Let s = 5 - c. Let z(n) = -n - 1. What is b*z(k) + s*u(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-18) + (-15)\/(135\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by (-1*48)\/(-3)*(-135)\/(-90).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 52*h**3\/3 - 105*h + 76. Find the first derivative of k(y) wrt y.\nAnswer: 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - r - 6*r - 2*r + 4*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:07 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823, 1813, 2957, 4255?\nAnswer: 5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (1 + sqrt(1300))*2)*5)**2 - ((0 + -1 + sqrt(1300))**2 + 3 + 3).\nAnswer: 4020*sqrt(13) + 129093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -224 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(4*(sqrt(36) - sqrt(4))).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(21\/(-2) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - ((sqrt(637) - (-1*sqrt(637)*2 + sqrt(637) - sqrt(637))**2) + sqrt(637)) - (-3*sqrt(637)*-5)**2.\nAnswer: -140777 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 8 - (0 + -30 - (42 - (23 + 6))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 - w + 5. Let g be (-6)\/(-14) + (-15)\/35. Let y be v(g). Suppose y*p - 27 = 3. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 4:00 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 24 = -4. Suppose 0 = -2*k - 2*h + 16, x*h = 4*k + 9*h - 37. Let i be 42\/5 + (-2)\/5. Solve 4*g + 5*u - 5 = 15, -2*u + i = k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 18. Let d = i + 87. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21949*y - 43932*y + 21981*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Let o(x) = 5*x**2 + 11*x - 7. Let z(g) = 4*g**2 + 10*g - 6. Let t(p) = b*o(p) - 6*z(p). What is the units digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 times 0.1\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010133314 (base 5) to base 13.\nAnswer: -a99064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 4*q)*((0 - 1 - 1)*(4*q**2 - 3*q**2 - 3*q**2) + 0*q**2 - 4*q**2 + 3*q**2 - 2*q**2 - 4*q + 4*q + q**2 + q**2 + 0*q**2 - q**2 + q**2 - 5*q**2).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81549 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: What is 4040102521 to the power of 1\/3, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0572 and -0.12.\nAnswer: -0.006864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 653, 1308, 1965, 2624?\n\"Answer: g**2 + 652*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12131230 (base 5) to base 8.\nAnswer: -337605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2002302 (base 4) to base 9\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273 + 1572. Suppose 0 = -3*s + 25235 + w. What is s rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867139 and 676.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) + 12\/4. Let p be 57\/(-36) - 9\/(-27). Put p, -1\/5, u in ascending order.\nAnswer: p, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1 + 148*n**2 - 76*n**2 - 1 - 74*n**2. Let l(v) = -75*v**2. Give j(l(o)).\nAnswer: -11250*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.171 - -4.2. What is h rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -16*m**2. Let v(w) = -2*w + 201. Give j(v(n)).\nAnswer: -64*n**2 + 12864*n - 646416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 greater than or equal to 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 129577066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 37 in decreasing order.\nAnswer: 37, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 24 (c) 0.043 (d) -0.2 (e) 3\/4 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1404 * 0.5\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -202400 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1825\/2 + 936. Calculate the common denominator of l and -30\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 140. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -18 - ((-19 - -8) + 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 20. Let f = 72 + -59. Suppose -f*s - 30 = -10*s. What are the prime factors of w(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/351 + (-124)\/(-3348)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 6*o**4 + (5*o**3 + 2*o**3 - 4*o**3)*(2*o - 2*o + 2*o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 5. Let t be (-14)\/(-8) - 2\/l. Suppose 2*g = k + 17, 4*g = -t*k - 0*k + 46. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -243*i**2. Let m(r) = -34*r. What is m(p(j))?\nAnswer: 8262*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 16\/3*b**3 - 2*b + 2\/5*b**5 - 2*b**4 - 1\/30*b**6 + 0 + 20*b**2. Factor n(k).\nAnswer: -4*(k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Suppose r + 5 = d*y, 3*y - 6 - 12 = 5*r. Does -1\/4 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -82994*x - 5726577. Determine r(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2)\/sqrt(8)*3 - (sqrt(2299)*1 + sqrt(2299) + -2)**2.\nAnswer: -9200 + 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:55 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1567 - 0.456733. Let a = 1.5 - 0.8. Let p = k - a. What is p rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -74, 0, 2, -1 in decreasing order.\nAnswer: 5, 2, 0, -1, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 8\/7 (c) 4720\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 129 * -91.098\nAnswer: -11751.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*u + 14, 5*u - 7*u - 4 = -2*s. Let l = 0.2 + 0. Which is the second biggest value? (a) s (b) 4 (c) 0.12 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703601 is divided by 100513?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (1300\/110 + 1*-4). What is the fourth biggest value in h, -26, 1, 0.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92.8, 5, -2.\nAnswer: -92.8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 94?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 3) + (-360)\/400*25\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408571119 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 278 = -0*k + 3*w, w = 5. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bzjzbezkebzbzzej?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 375 - 21 = 0. Which is smaller: 115\/2 or q?\nAnswer: 115\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y. Suppose -j + 5*b + 0 = 4, -4*j + 5*b + 29 = 0. Let w(h) = 55*h. Let g(f) = j*i(f) - 4*w(f). Let z(a) = -4*a. Calculate g(z(m)).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 493 = 77. What is the greatest common factor of 1378 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-25)*(-280)\/16. Factor 0 + m*v**2 + 4\/5*v.\nAnswer: 2*v*(7*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/9, -0.5, 0.135, -18\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s + 10. Let p be m(-6). Suppose g + g - p = -4*k, -23 = -5*k - g. Which is the second smallest value? (a) k (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2. Let v(g) = 2*g**2 + 11. Let f = 7 + -5. Let l(n) = 7 + 1 - 2 + n**f. Let q(i) = 11*l(i) - 6*v(i). Determine s(q(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11*m*m**(3\/17)*m)\/(m**(-4)*m*m**(-13)) assuming m is positive.\nAnswer: m**(513\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*a**2*g**2*o - 86*a**2*g**2 - 3*a**2*g*o - a**2 + 2*g*o wrt o?\nAnswer: -20*a**2*g**2 - 3*a**2*g + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**4 + 9*v**3 - 886*v**2 - 40446.\nAnswer: -4*v**3 + 27*v**2 - 1772*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 - -135 - (0 + -48 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3*c**7\/49 - 3*c**6\/35 + 11*c**5\/5 + 52*c**4\/21 + 51*c - 5. Suppose l(d) = 0. What is d?\nAnswer: -13\/3, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 435 - 12*q**4 - 10*q**2 - 18*q**3 - 3*q - 2*q**2 - 3*q**5 - 435.\nAnswer: -3*q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 179*o**2 - 358*o + 179. Let d(l) = l**2 + 2*l - 1. Calculate -179*d(k) - s(k).\nAnswer: -358*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104137 is divided by 1500?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 + 184. Solve 2*f - i = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64491 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - -1) + (12 - 18) + -21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(272)*-2) - 3*2*(-2 + sqrt(425)).\nAnswer: -54*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 298*x - 92*x**4 + 66*x**2 - 30*x**5 + 9 - 111*x + 7 - 115*x + 10*x**2 - 42*x**3 = 0?\nAnswer: -2, -1, -2\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 47*l - 32. Let o(y) = -2*y + 1. Let w(z) = -2*d(z) - 18*o(z). Let t be w(-5). What is the highest common factor of t and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 = 4*n, -35 = 4*s + n + 2*n. Let x be 14\/(-10) + 4\/10. Let o be (x + -1)*s\/50. Which is the nearest to -2\/3? (a) 0 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90751 is divided by 383?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/180 - p**5\/15 + p**4 - 43*p**3\/6 - 6*p**2 - 3*p. Let i(c) be the first derivative of z(c). Factor i(d).\nAnswer: -2*(d - 2)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v + 148 = 39*v - 158 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 6*o + 188 - 3461*o**2 + 3*o + 3463*o**2 in the form v*o + r + z*o**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*h + 13 + 49 - 65)*(-1 - 2*h + 1).\nAnswer: -164*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (53 - 53) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/(5\/10). Let q = t + 3. Is q\/(-3) + (-38)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:14 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 80.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14*n*n\/n**(-12) assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21220 (base 3) in base 9?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/6 - (-60)\/24?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.19347 months to centuries.\nAnswer: 0.240161225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = q + 16, -792*q + 790*q + 4 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/13)*u**(1\/14)\/u*u)\/((u\/u**(-4))\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-1731\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3 - 2. Let y(f) = -246*f + 490*f - 248*f. Let z be y(m). Solve -1 - z = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19*v**3 - v**2 + 2*v - 1. Suppose -i + 6 = b - 6*i, 0 = 3*b - i - 4. Suppose -17*p = -13*p - 220. What is the remainder when p is divided by d(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Let d = -8\/15 - -1\/30. Let s = -1.4 - 3.6. Which is the nearest to d? (a) -2\/15 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-6)*(1 - 2)*-3. Suppose -t*v + 32 = -5*v. What is the remainder when 79 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 12*g = -79*g + 26149. Calculate the remainder when g is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. What is the first derivative of 4 + 5*v**m - 4*v**3 + 0*v**3 wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24697*f + 24463*f - 49155*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27594 = -10264*j + 20095*j - 10269*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*d - 4*f - 1, -40 = 5*d + 5*f. What is the closest to 0.1 in 0, d, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4039980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-345)\/(-414)*8\/(-10). Put 46, x, -2 in ascending order.\nAnswer: -2, x, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((549\/(-427))\/(-14 - -9))\/((-3)\/(-10)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/(-805)*(-14)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*w - 67*k**3 - 5*k**2*w + 56*k*w + 243 wrt w.\nAnswer: 2*k**3 - 5*k**2 + 56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 30*t + 3 - 8)*(-10*t - 3 + 7 + 1).\nAnswer: -300*t**2 + 150*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*a**5 + 4\/7*a**4 + 0*a + 4\/7*a**3 - 4\/7*a**2.\nAnswer: -4*a**2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l**4 + 1\/140*l**6 + 1\/245*l**7 + 0*l + 36*l**2 + 1\/1176*l**8 + 1\/210*l**5 + 0*l**3 + 0. Find n such that t(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-23))**(-5\/6)\/(i**(-9)*i)**10 assuming i is positive.\nAnswer: i**(295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64\/3 + 100\/3*m**4 + 112*m - 416\/3*m**2 - 28*m**3 = 0. What is m?\nAnswer: -2, -4\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(952\/(-16))*(-14)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525175 and 2100.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/20 - x**4\/2 - x**3\/3 - x**2 - 135*x. Let l = 0 - 6. Calculate m(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73496569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/113573000 and -11\/11357300?\nAnswer: 113573000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-99) - ((-188)\/(-329) - 57\/(-231))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = k + 2 - 9, k + 5*u = -8. Suppose 5*f = -2 + k. Solve -f*a = -1 - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/4 + 8)*16\/3. Suppose -2*i + d = -4*q, -3*q - 4 = -2*q - i. Let 2\/5*u**3 + q*u**2 + 0 - 2\/5*u = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 10, -44, -170, -392, -734, -1220, -1874?\n\"Answer: -4*d**3 + 22*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/26 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let b(t) be the third derivative of -t**4\/6 + 11*t**2. Calculate f(b(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*w + 18520 = 0, -132*y = -134*y + 3*w + 9235. What are the prime factors of y?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 3, -0.2, -3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g - 33. Let j(v) = -4*v - 1. Calculate 2*j(y) - t(y).\nAnswer: 3*y + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {a: 5, d: 6, g: 7, t: 1}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and 97\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:28 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*n + 8. Let a be (5 + (-42)\/n)*-10. Which is bigger: a or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75113640 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:56 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 794032866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 61, 102, 149?\n\"Answer: 3*f**2 + 26*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 2*z - 2. Let i be g(2). Let j(u) = -u**3 + 9*u**2 + 12*u - 5. Let s be j(i). Let d be (12\/s)\/((-2)\/(-5)). Solve d*q + 1 = 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96810311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 65*t + 1232. Give x(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 124800*w**2 + 2*w - 10. Suppose -24 = -0*g - 4*g. Suppose 0 = -g*i + 9*i - 15. Let n be j(i). Round n to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 24154 = -3515. List the prime factors of t.\nAnswer: 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-0.45\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l + 6. Let n be w(6). Let f be (-8)\/(-20) - n\/15. Let s = 18 + f. Calculate the smallest common multiple of s and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -0.05, -89?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*j - 309 = 211, 552 = -5*d - 3*j. What is the second smallest value in 2\/9, d, 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -1561.8?\nAnswer: 1562.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197817230*o**3 + 314293517*o wrt o?\nAnswer: -1186903380*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -335 - -759. Let u(v) = 3*v**2 - 8*v - 62. Let o be u(-10). What is the highest common divisor of d and o?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - 4.06. Let g = -4.2 - -8.1. Let b = d + g. What is the second biggest value in -1, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 4*l. Let s be w(-3). Is (-6)\/s + 262\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 148 = -695. What are the prime factors of x?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - 4*j**3 + j**4 + (-12*j + 3*j - 15*j)*(0*j**3 - 5*j**3 + 3*j**3) + (-5 + 5 + j**4)*(1 - 3 + 0).\nAnswer: 47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*r**3 - 12*r**2?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -36. Let o = s + -67.59. What is o rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2832, 2845, 2872, 2919, 2992?\n\"Answer: b**3 + b**2 + 3*b + 2827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 118, 158, 200, 244, 290?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020536 a multiple of 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -354*x + 10032. Let v be h(28). Solve 0 = -21*u + 41*u - v for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose -p = -f - 15. Suppose -3*b = 4*k - 132, 3*b - 7*k = -3*k + 132. What is the remainder when b is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).\nAnswer: -1585 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.022642 rounded to three dps?\nAnswer: 2.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111*m**3*u**4 - 394*m**3 - 2*m**2 - 2*u**4 wrt u?\nAnswer: 444*m**3*u**3 - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1*(-195)\/30. What is the greatest common factor of 117 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 3*s - 3. Give v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361 - -656. Is 50 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(11\/(-385))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 329.4836 milligrams?\nAnswer: 329483.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 4 + 2*w**2 - 3*w**3 - 5 - 2*w**2. Let f(j) = -4*j**2. Let y = 16 - 11. Calculate y*f(a) - 2*k(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/10)\/((-7)\/14). Which is the third smallest value? (a) -0.4 (b) u (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*v - 985 = -660 + 5071 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -d + 3*k, 102*d - 2*k = 100*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a + 1. Let b(c) = -57*c**3 - c**2 + 14*c + 10. Let y(z) = -b(z) + 6*g(z). Let w be y(4). Let u = -317 + w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z**4 + 32065*z**3 + 881725*z**2 + 4420815*z + 6195510 = 0 for z.\nAnswer: -146\/7, -3, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 12*g - 10. Let v(j) = 2*j**2 - 14*j + 11. Let a be v(6). Let w(y) = -y. Let x(c) = a*m(c) - w(c). Is x(13) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/17 + 4*j**2 - 506*j\/17.\nAnswer: -2*j*(j - 23)*(j - 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y)**(-21)*(y*y**5)\/(((y\/y**(-6\/13))\/y)\/y) assuming y is positive.\nAnswer: y**(1177\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 12 (c) 1\/5 (d) -5 (e) -0.1 (f) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 298a4?\nAnswer: 298a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-7)\/2)*8. Solve 0 = -f*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -3\/2 (c) 15666 (d) -0.15 (e) 0 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 22.145031895\nAnswer: 21.945031895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(833) + sqrt(17))*4 + -3 + sqrt(85)\/sqrt(5) + 0 + 1)**2*1 + -1.\nAnswer: -92586 + 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 188, 320, 504?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15352 or -19.5?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 3, 487, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -320870*a - 16043507. Determine z(-50).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t = 41*t + 1742. Does 67 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3532*s - 3532*s - 25*s**3 + (4 + 2*s - 4)*(3*s**2 - 6*s**2 + 2*s**2) - 2*s**3 + 0*s**2 + 0*s**2.\nAnswer: -29*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46120601 (base 7) to base 13\nAnswer: -aaa884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2 - 14*o + 187. Let j(g) = -2*g**2 - 6*g + 87. Give -5*j(c) + 2*r(c).\nAnswer: -4*c**2 + 2*c - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 4.77, -2 in ascending order.\nAnswer: -2, 8\/9, 4.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlpttmpttp. Give prob of sequence mpt.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = -k. Let o = k - -21. Suppose 0 = -2*d + o + 65. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 1 + 1)*(14*o + 6*o - 5*o) + (-3 + 1 + 3)*(-2 - o + 2) + 3 + 2*o - 3 + 0*o - o + 3*o - 4*o - 3*o + 5*o to the form x + z*o and give z.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-87274)\/3094 - (-18)\/(-63). Let a = 3\/442 - l. Calculate the common denominator of 21\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26279\/2 - -13141. Sort r, -14, 0.2, -26\/5.\nAnswer: -14, -26\/5, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2808*w**3 - 7891*w - 2865*w**3 + 5671*w**3 + 2*w**2 to f + r*w**3 + v*w**2 + u*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 50 = -55. Let h be 53 + -3 + (-4)\/(-2). Let c = f + h. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(209\/(-12540))\/((-1)\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 1716*u - 1719*u + 5*h, 0 = -3*u + 2*h - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-32)\/(-24)*(-354)\/(-4). Suppose g - 568 = -2*a - 53, 5*g + 1023 = 4*a. Let d = a - j. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -161, -229, -277, -299, -289, -241, -149?\n\"Answer: i**3 + i**2 - 92*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111010101011010110010 (base 2) in base 4?\nAnswer: -213111122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27769 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + -1 + sqrt(567) + -5)**2 + -3.\nAnswer: -90*sqrt(7) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -9, 3*r - 1 = -2*j + 2. Suppose 40 = 2*t - 5*g, -r*t + 50 = -0*t - 5*g. Calculate the lowest common multiple of 11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let h(d) = -8501*d + 8. Determine j(h(y)).\nAnswer: -72267001*y**2 + 136016*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**3 - c**2)*(-1 + 6 - 2)*(-9 - 7*c + 9) + 6*c**4 - 35*c**3 - 2*c**4 - 7*c**4.\nAnswer: 39*c**4 - 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196, 218, 252, 304, 380?\n\"Answer: u**3 + 15*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2\/2 + 927*a - 21384 = 0.\nAnswer: 24, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 3}. What is prob of sequence kc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + (-1836)\/280 + (-2)\/(-35))\/1. Factor 0 + 1\/6*f**3 + g*f**2 + 4\/3*f.\nAnswer: f*(f + 1)*(f + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 257*w + 397. Give c(-2).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3827.1 times 2591?\nAnswer: -9916016.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwj when three letters picked without replacement from {w: 13, c: 3, j: 4}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -49563\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-136 + 134)\/((-4)\/22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8))\/g)\/g**(-46) assuming g is positive.\nAnswer: g**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 21*i**2 + 34*i - 41. Is v(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/(4 - (0 + 2)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/16 - 19\/48. Let k = 0.3 - 0.3. Let y = -1 + k. What is the nearest to -2\/5 in g, 0.4, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4983198784.\nAnswer: 2, 1021, 76261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from ccccckgccggkccdgc.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28503995 is divided by 97.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -24. Suppose -d - 7 = -s. Let v = s + -7. Solve -5*i - 24 = v*p - 3*p, -5*p + 4*i = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/2)\/(1\/(-7)). Suppose c*z - 255 = 2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1872508)\/(-121)*(-4)\/(-16) - (-4)\/22. What is the greatest common divisor of 159 and i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/7)*w\/(w\/w**(-3\/7)))\/(w**0\/w)**(-23))\/((w*(w**(-2)*w)\/w*w)**(-29)\/(((w**(1\/4)*w)\/w)\/w*w\/(w\/(w*w**2*w))*w)) assuming w is positive.\nAnswer: w**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = -7*b + 496. Solve j - b = -0*j + 4*l, 5*j - 8 = 2*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54509.556 + -54604. Let c = v - -92.753931. Let o = 1.69 + c. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72043, 71784, 71533, 71296, 71079?\nAnswer: 70888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5674.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12cc (base 15) to base 7\nAnswer: -14466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.03619.\nAnswer: 0.39809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 2:48 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-6 - (24 + (-15 - -12) - 20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808833943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 17. Suppose 4*c + 7*f - m*f - 36 = 0, -4*f + 8 = -2*c. Solve 3*k - 1 = c*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3405 divided by -681?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*n + 3*x + 1185552, -2*n + 3*x = -790367. Let y = -1295179 + n. What is y rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -183, -211, -219, -201?\n\"Answer: j**3 + j**2 - 52*j - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733015*f - 733015*f + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01529668 rounded to 5 decimal places?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046986 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13812\/3209 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 51743 - 57168 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6801938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9299361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + 107.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.775.\nAnswer: -0.1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 284*d + 146291. Calculate o(-550).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -19*u - 55. Let w be l(-3). Is w less than 38\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 11*y + 8. Let g be t(-12). Suppose g*q = 23*q. Suppose q = 2*w - 4 + 14. Sort -2\/17, 0.4, w in descending order.\nAnswer: 0.4, -2\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032 + -21221213033?\nAnswer: -21221221131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 597873938 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 5:01 PM and 6:52 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let h be (-1 - -2)\/((-5)\/(-25)). What is d(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.003? (a) -12 (b) -2\/7 (c) 0.10809 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24180 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54.226 - -54.13. What is the second biggest value in -2\/19, 1.8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(3*t + t - 3*t + (-2*t - 1 + 1)*(-4 - 4 + 4)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003237230 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p + 1967 - 1425 - 1218 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -1 + (12 - -9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 434?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -253*a + 53. Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984851 (base 10) in base 13?\nAnswer: 1056c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4835 = -3*m + 2470. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 95*r + 14*r - 1378 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -58295, -1 in ascending order.\nAnswer: -58295, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f**2 - 10*f + 38. Let i be t(4). Let w = -220 - i. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in millimeters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from nfffnnnnff?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3842e + -7a?\nAnswer: -384a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - m + 7 = -3, -a + 2*m = -7. Solve a*x + 7*x - 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*v - 3*g - 30, -5*v + 24 = g. Let i(j) = 2*j**2 + 7*j - 9. Let k(x) = -x**2 - 3*x + 4. Let n(a) = v*k(a) + 2*i(a). Factor n(s).\nAnswer: -(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (33 + -41) - -33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - p + 1. Let w(h) = -h**4 + 8*h**3 - 26*h**2 + 62*h - 6. Let l(m) = -4*s(m) - w(m). Find the second derivative of l(q) wrt q.\nAnswer: 12*q**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54090465 to the nearest integer?\nAnswer: 7355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*t, -3*p + 9893*t = 9898*t - 55 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583070\/(-7325) - 416\/40?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/30)\/((-10)\/(-261)) and 65\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 27*b - 27. Let x be i(13). Let p = x + 26. Solve 28*l - p = 25*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 23*r - r + 24*r.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + v - 5*v - 1. Let z be -3*(6\/9)\/2. Is q(z) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/17 - 5652*m**2\/17 + 22640*m\/17 = 0.\nAnswer: -2830, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + s**4\/6 - 2*s**3\/3 - s**2. Let x be h(3). Let t = 5 - 9. What is the smallest value in t, x, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949239179?\nAnswer: 37, 79709167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/7)*q)\/((q*q**(-2\/11))\/q)*(q*q*q*q*((q*q**(-8)*q)\/q)\/q*q)**(-9\/8))**(-3\/2) assuming q is positive.\nAnswer: q**(-11325\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 - 55*h**3 + 12*h**3 + 29*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 9 - 10) + (-17 - -1) - (-66 - 2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87\/79 + -55\/237. Let v = -0.8 - -0.3. Which is the nearest to -2? (a) -0.06 (b) v (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0)**(18\/5))**(1\/16))**(-10) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-8)\/(-3)*162\/108?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q = 3*j + 14, 0 = -2*j - 4. Suppose 0 = q*y - 6*y - 4*u, 4*y - 5*u = 0. Solve g + 4*g - 15 = h, -g - 5*h + 3 = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*h + 28, -1234 + 1220 = -2*n. Let i = 8 - 4. Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v + 5*i - 2, 2*i - 4 = 5*v. Let s be -8*2 + (2 - v). Let c = 25 + s. Calculate the greatest common divisor of c and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3277424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let f = -57929 - -57929.06. Which is the second smallest value? (a) f (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 20*c + 234. Calculate the least common multiple of c and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3038952, -3038948, -3038944, -3038940, -3038936, -3038932?\nAnswer: -3038928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1762.\nAnswer: 7048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n**2\/7 - 652*n\/7 - 48\/7 = 0.\nAnswer: -12, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7644569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*y**2 - 6*y wrt y.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17877191 and 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 51*x + 167. Calculate s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 + 69*y - 46. Let d be q(20). Suppose 0*v = 2*v - 14. Calculate the smallest common multiple of 0\/(-1) + 4 + d\/(-38) and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/120*((-6)\/(-8))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let k(c) = 1235*c**2 - 2210*c. Give k(v(j)).\nAnswer: 4940*j**4 + 4420*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 156323.2 times 2.3\nAnswer: 359543.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-4) - (-5)\/(-20). Let r = 107 - 63. What is the greatest common factor of q and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 + -27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0166 + -325.9834. Let m = 326.00000279 + v. Round m to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 121 = -8*x + 34, 4*h = -4*x + 84. Calculate the greatest common divisor of x and 465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.96954649\nAnswer: -2.90863947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6476827 divided by -26\nAnswer: -6476827\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29201*k + 14598*k + 1 - 1 + 14602*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 260*l + l**2 - 84.\nAnswer: l**2 - 260*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 3, m: 3, f: 1, t: 7}. What is prob of sequence tytt?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 not equal to 2026\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b**2 - 20*b**2 - 21*b**2 - 582*b**3.\nAnswer: -582*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 6*i. Let s(p) = -6*p**2 - 5*p. Let q(v) = -5*n(v) - 6*s(v). Let c(y) = -3*y**2. What is q(c(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 1329*a.\nAnswer: -a*(a - 2658)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 5, -8, 0.025, 6, -93?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -2. Let d be 14\/4*(-2)\/r. Solve 1 = -4*n - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -11\/5, 5, 0.2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*s = -7, -3*u + u + s = 4. Let g = u - -3. Suppose 3*b = b + 4, -5*d - 4*b + 33 = g. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21797, -21693, -21427, -20927, -20121, -18937?\n\"Answer: 12*m**3 + 9*m**2 - 7*m - 21811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1235132 - 2?\nAnswer: 1235130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -281?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:51 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43156 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**2 + 34*h - 800. Give f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 404*t**3 - t**4 + 2*t**4 - 5*t**2 - 402*t**3 + 12 - 2*t**4 as k*t**2 + c*t + p + l*t**4 + v*t**3 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - 0) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112\/728 - (326883\/13)\/(-1)?\nAnswer: 5, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1*(-2)\/(-6))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408111 is divided by 3814.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42\/185 + 1\/37. Suppose -5*l = 3*p + 35, 4*l = -2*p - 16 - 10. Which is the third biggest value? (a) l (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -508, 36, 28, 2, 6 in ascending order.\nAnswer: -508, -5, 2, 6, 28, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let k be g(3). Suppose 0*l - 5*l - k*x + 3165 = 0, -x + 2532 = 4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*m - 333*m**2 + 2*m**3 - 3*m**3 - 8 + 8 + 317*m**2 wrt m.\nAnswer: -6*m - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/3 + 11*d**2\/2 + 21*d - 2. Let u be c(-9). Is (1 - 0\/u)*79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40494 greater than or equal to 5871504\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 - 5*j + 2. Let p be i(6). Suppose -4*c - 224 = -p*c. Let d = c + -30. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h**3 + 225*h**2 - 840*h - 1068. Let d(w) = 19*w**3 - 225*w**2 + 841*w + 1069. Let a(z) = 3*d(z) + 4*f(z). Factor a(c).\nAnswer: -3*(c - 71)*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32939648 and 1680.\nAnswer: 494094720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*f + 7. Let o be (16\/f)\/((-154)\/35). Let d = -42\/55 + o. Which is the second smallest value? (a) -19 (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 6*x = 28. Let w = x + 12. Suppose -w*q + 3 = -62. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -5 (c) 2\/15 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j + 18*j**4 + 7020*j**3 - 7020*j**3 wrt j?\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0204 - -6.3004. Let k = y + -8.97. What is k rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4\/5*f**3 + 2\/5*f**4 + 2\/5*f**5 + 0*f**2 + 0*f + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 times 0.5?\nAnswer: -163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 15) to base 3.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 10*t + 20. Suppose -3*v + v = j - 12, 2*j + 8 = 0. Let o be r(v). What is d in -7*d**3 + 8*d**4 - o*d**4 + d**3 + 2*d**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -1, 1, 5 in increasing order.\nAnswer: -1, 1, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 30*w - 5. Let f be (4 - 2 - -44) + -3. Let g(h) = -37*h - 1 + 0 + f*h. Give 2*a(s) - 11*g(s).\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -66. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 408, 433, 458, 483, 508, 533?\n\"Answer: 25*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 + 5*l**2\/2 - 5*l + 4. Let z(v) = -3*v**2 - 8*v + 8. Let n(q) = -8*i(q) - 5*z(q). Let a(m) = -m. Determine n(a(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 695616.5cm in kilometers?\nAnswer: 6.956165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*a - 281*a + 36 = 0. Solve 8 = -4*f - 5*l, -a*f + 7 = -l - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*w + 2*y - 7 = -257*w, 10*w - 6*w - 21*y = -15*w + 5*y - 381 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -292800 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -59\/2. Which is the third biggest value? (a) l (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1465979?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/7)\/b)\/b**(-2) assuming b is positive.\nAnswer: b**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 510*x - 11928 = 0. What is x?\nAnswer: -142, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*(-18)\/24\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -15*i - 11*i + 29*i - 10*i. Let u(v) = 4*v**2. Calculate z(u(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:26 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmq when four letters picked without replacement from mmoookmmqooqoqm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 4*p - 8. Let h(l) = -6*l**2 - 3*l - 25. Let g(n) = -8*n**2 - 2*n - 35. Let f(s) = -4*g(s) + 5*h(s). Calculate 6*f(b) + 11*x(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-6) + 306\/1. Let k = 304 - l. Solve -y = 4, 0 = 5*u - 0*y + k*y + 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6496998 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:38 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -cb63e6?\nAnswer: cb63e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 2. Let g(z) = -4*z**2 + 1. What is 4*g(l) + 5*h(l)?\nAnswer: -l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55658 rounded to the nearest 100?\nAnswer: -55700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*u = -0*u - 9, 0 = -3*u + 9. Which is the third biggest value? (a) -6 (b) 4 (c) g (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 13*g + 3. Let z be d(-6). Let i(q) = 4*q + 8. Let o be i(-3). Sort o, -1, -2, z.\nAnswer: o, z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - (-528)\/(-44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 4, w: 2, v: 1, d: 2}. Give prob of picking 1 n and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-14))\/(7 - (-188)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 45 = -m + 2*m, 5*m + 5*i - 275 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d**2 + 2*d + 3. Let w(i) = -27*i**2 - 5*i - 7. What is 14*f(a) + 6*w(a)?\nAnswer: 20*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 14103.19.\nAnswer: 14106.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1293919.2 months?\nAnswer: 10782.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 440*w**2 - 9225*w + 20250.\nAnswer: -5*(w - 2)*(w + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 2\/19 (c) 1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f - 1. Let a(o) = -4*o**2 - 6*o + 27. Let m(n) = -a(n) - 5*w(n). Let v be m(4). Is (-87)\/(((-3)\/9)\/(2\/v)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 5*w**2 + w - 3*w + (0*w + 2*w**2 + 0*w)*(205 - 143 + 195) to v + s*w**2 + i*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - 63e1?\nAnswer: -6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - q + 4)*(6*q - 4*q + 33*q**2 - 37*q**2).\nAnswer: 4*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1 + 0*w**2 - 4*w**3 - 1 - 4 - 5*w**2. Let t(h) = h**3 + h**2 + 1. Let i(d) = g(d) + 5*t(d). Differentiate i(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74+-1248999278\nAnswer: -1248999204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**24\/(l*l**9\/l*l*l*l**9\/l) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1044 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwwwwfwfwwwwffwww. Give prob of sequence fw.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1815 - 867 - 894)*(-2*o**2 + 0*o**2 - o**2) to the form r*o + c*o**2 + w and give c.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**23\/((z**(-1\/2)*z)\/z)**5)\/((z*z**(1\/12)*z*z*z*z**(2\/19))\/(z**(8\/5)*z*((((z*z*z**(-5\/2)*z)\/z)\/z)\/z*z)\/z)) assuming z is positive.\nAnswer: z**(8677\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + 76*n**2 - 88*n + 3. Let m(y) = 6*y**3 + 78*y**2 - 87*y + 4. Let b(o) = 4*l(o) - 3*m(o). What is the second derivative of b(h) wrt h?\nAnswer: -12*h + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*(-127 - -1). Suppose 4*a = 2*o + c, -3*o = -a + 3*a - 83. What is the remainder when a is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 736 or -2\/7?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in -1, 17, 0, 0.5, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -3*l - 75, l + 9 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.9 and -30?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 5*x + 4. Let a be g(6). Let f(c) = 19*c**2 - 2*c - 1. Let h be f(a). Is -1 + h + (-1 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/4 + 27*y + 2709\/4 = 0. Calculate y.\nAnswer: -21, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(832)*2*2 - (0 + ((-2*sqrt(78))\/sqrt(6))**2 + (sqrt(104)\/(2*sqrt(8) - sqrt(8)) - sqrt(637)*-1)).\nAnswer: -136*sqrt(13) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 - 10229645.\nAnswer: -10229645.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/5 + 808*m**3\/5 + 172624*m**2\/5 + 3800832*m\/5 + 22127616\/5.\nAnswer: (m + 12)**2*(m + 392)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45.1, -0.08062, -13 in descending order.\nAnswer: -0.08062, -13, -45.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25794? (a) 4 (b) 0.2 (c) 2 (d) -18 (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 6:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8*s = 6*s + 102184000. Round s to the nearest one hundred thousand.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110101010000010111 (base 2) to base 9.\nAnswer: -2780167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/19 or 68.8348?\nAnswer: -84\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j + 107530 = 9*j + 792392. What are the prime factors of j?\nAnswer: 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 20*c = 5*c - 640 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/11 and -30\/59.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j**2 - 15 + 14 - 2*j**2 + 4*j**3 as g + b*j**3 + d*j + x*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162))**2 + -1.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a day?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 77179?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.75 and 2361.\nAnswer: 2364.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*n**3*y**2 - 2*i**2*n**3 - 7*i**2*n + i*n*y**2 + 2*i*n*y - 5*n**3*y**2 + 8*n wrt y.\nAnswer: -2*i**2*n**3 + 2*i*n - 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(((-12)\/9)\/4). Suppose c*d + d = 172. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2085035\/4 or -521258?\nAnswer: -2085035\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205 >= 58180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*(-3 - (-69)\/21). Let n be b - -6*4\/6. Solve l - 2 = -2*j, 2*j + 0 = n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 10*f + 77. Give m(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/15*100\/(-8). Let h = 146 + -72. Let y = i + h. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*o = -438*o - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-0.43.\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57875257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 6*s - 5. Let a be i(-7). Suppose a*p = -4*o + 4, -4*p + 21 = 4*o - 7. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3376064221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 44*g**5\/5 + 162*g**4\/5 + 94*g**3\/5 - 164*g**2\/5 - 24*g - 16\/5 = 0.\nAnswer: -2, -1\/2, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(2*y + 7*y**2 - 2*y) - y**2 + 5*y - 5*y + (0 + y + 0)*(4*y - y - y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 9) to base 4\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19224 times -0.4\nAnswer: -7689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-32) + 318\/48\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-392)\/7)\/(-14) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m**(-8))**(2\/13)\/((m**(-7)\/m**(3\/7))\/((m*m*m**(-2\/5))\/m*m*m**(3\/7))) assuming m is positive.\nAnswer: m**(757\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 59, 11, 4, -2, 17, 3 in descending order.\nAnswer: 59, 17, 11, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 583*f**6\/120 + f**5\/60 + 15*f**3\/2 + 29*f**2 - 5. What is the third derivative of q(v) wrt v?\nAnswer: 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-12) - (-2)\/3. Let k = j + 10. Let u(b) = 165*b + 5. Let w be u(k). What is w rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2448) + sqrt(2448) + 5*(sqrt(2448)*2 - sqrt(2448)) + sqrt(2448) + 6*(-2 + sqrt(2448) + sqrt(2448)) + 0 + 0)**2.\nAnswer: -28800*sqrt(17) + 4896720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 34, 0, 8, 19, 3, 12 in increasing order.\nAnswer: -8, 0, 3, 8, 12, 19, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 125 = 4*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-14 - -15) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Let m(u) = -16*u - 1. Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -24, -44, -72, -108, -152?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718.27 decades in centuries?\nAnswer: 271.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + i - 1. Let b be (2\/6)\/(((-14)\/6)\/(-7)). What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 449 - 664. Let u = h - -216. Which is greater: u or 44\/19?\nAnswer: 44\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 1 = -i. Let a be 4\/((0 + i)\/2). Suppose c = 6*c + 3*g + 4612, -2*g - a = 0. Round c to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.77 - 51. Let o = h + 0.175. What is o rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**8*v\/(v\/(v*v**3*v)*v)*v\/v**(3\/2))\/((v**(-3\/7)*(v\/v**(1\/5))\/v)\/((v*v**1*v)\/v**(-5))) assuming v is positive.\nAnswer: v**(1073\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = w - 3, m + 2*w = -3*w - 9. Let q = -1.6 - 0.4. Let j = q - -3. Which is the third smallest value? (a) m (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-95)*(3\/18)\/((-60)\/40).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 11372411.\nAnswer: 5\/11372411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 56\/12*108\/(-72)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 7931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -2*f + 7, 3*y - 48 = -3*f. Suppose -c + 5*v - f = -35, -v = 5*c + 10. Which is smaller: -6\/5 or c?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Determine b, given that b**h - b**4 + 0*b**3 - 4*b**4 + 4*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 9*a = m + 4, -2*m + 4*a = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 <= -1.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 3, a: 2, e: 4, x: 1, z: 2}. What is prob of picking 1 i, 1 z, and 1 a?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.7 - -71.71. Let o = w - -4.99. Which is the closest to 19? (a) o (b) 3\/4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352907432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - r + 5*r - 18 = 0, -2*r + 10 = 0. Suppose i = c*l - 7*l + 35, 3*i + 4*l = 50. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -7*b**5\/15 - 3*b**2 - 9*b. Let s(u) be the first derivative of z(u). Let q(w) = w**2. Give q(s(p)).\nAnswer: 784*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000969655302 rounded to 7 decimal places?\nAnswer: -0.0009697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812926 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*a = -2*h + 20, -4*a = -2*h - 10. Suppose h*v = -3*r - 8, -16 = 2*r - 7*r - v. What is the least common multiple of 10 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4603500 and -3404.\nAnswer: 4600096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20601 divided by 5\nAnswer: -20601\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0759319 and 6.\nAnswer: 0.4555914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -688*o. Let z(f) = -61*f. Calculate z(v(l)).\nAnswer: 41968*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*p - 8, -4*z + 4*p = -0*z + 8. What is the nearest to z in 0.1, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1500)\/(-27))\/20 - (-2 - -5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4923 + -4902. What is the remainder when 135 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 - 1 = 0. Suppose -f*a = -3*a - 2. What is the second derivative of -23*b - 4*b**5 + 3*b**5 + 17*b - a*b**5 wrt b?\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-10))\/(10\/(-105)*-9 + (-12788)\/14168)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -15. Suppose -13*f + 10*f = -y - 53, f - y = 17. Calculate the remainder when f is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.23 (b) -6 (c) 0 (d) 0.52 (e) 3 (f) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.231 - 0.34. Let l = x + -4.811. Let q = l - -5. Put -4\/9, -3, q in descending order.\nAnswer: q, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (165\/(-35) - -5)\/(0 - -1). Suppose -3*q + q = -4. What is the second biggest value in q, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564*p**2 - 777*p**2 - 764*p**2.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-5 - (-6 + -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/((-1)\/(-12)). Suppose -9*n + 4*n = -5. Calculate the remainder when (8\/6)\/(4\/i) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6346*d**3 + 2*d**2 - d + 1. Let u be i(1). Let p = -12293 + u. Let r = p + 975. Round r to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4503951?\nAnswer: 3, 107, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6377*b + 39. Let v be t(-1). Which is smaller: -6339 or v?\nAnswer: -6339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ragjttjs. Give prob of picking 1 s and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 5718.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 34 = -4*d, -4*d - 10 = -3*u + 4*u. Is 136206\/12 - (-3)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-29)\/28 + 2\/7). Solve r = -k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (2 + -4)*-33 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 21*i**2 + 48*i + 47. Let q be l(-23). Which is bigger: q or 4\/25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o + 2. Let l be z(7). Let p = 12 - l. Suppose -n + p = 4*n. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6809463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-522)\/1242 + (-82)\/(-943)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273\/840 + (-2)\/(10*1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 2\/13 (c) 2 (d) -3651.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.1 - -11. Suppose 452 = -5*n + 137. Let u = n + 129\/2. Which is the closest to h? (a) u (b) 2\/23 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 809 + 809 + 107*c - 1612 to the form f*c + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/5 + j**3\/6 + 3*j**2\/2 + 10*j. Let d(l) = 5*l**3 + 2*l + 4. Calculate 3*d(m) - 4*u(m).\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(26)\/sqrt(2) + sqrt(13)) - (sqrt(13) - (sqrt(13) + 0))**2*6)*-1.\nAnswer: -4*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 10*b + 11. Let c be p(9). Suppose 22 - c = 4*i. Suppose i*g - 31 = 34. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let q(m) = -7*m**2 - 4*m. Give q(r(b)).\nAnswer: -7*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*n - 1. Let h = 10 - n. Suppose -5*x + 75 = -3*l - 2*l, h*x - 5 = -3*l. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6038 + -6041. Is l bigger than -119\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from dztzztttztdtz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/8)\/(-6))\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4 + 640426*s**3 + 102225930673*s**2 - 99405225310248*s + 24092425120153104 = 0.\nAnswer: -320697, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -219, -256, -293?\n\"Answer: -37*f - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153077, -153078, -153079, -153080?\nAnswer: -153081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408606999.\nAnswer: 3, 107, 1272919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/4308 and -25\/177346.\nAnswer: 1064076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*n + 73, 4 = 5*d - 1. Let z = -15 + n. Suppose 3*m - m - 20 = z. Solve u + m = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171955453801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2*(-35)\/(-15). Let x = 9 + j. Solve -x*b - 7 = 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3345 (base 6) to base 8.\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -152.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 174248 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.62 and -0.05719?\nAnswer: -0.2642178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 19. Calculate the common denominator of (-831)\/72 + (-3)\/r and -95\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/65 + 71\/195. Let q = -1 - 3. Which is the smallest value? (a) q (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16)*28*2775\/(-175).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 + 4*g + 2. Let q be b(-3). Suppose 4*x = n, 3*x - 4*n = -6*n. Let z = -16 - -17. Sort x, z, q in decreasing order.\nAnswer: z, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20654 * 3.\nAnswer: 61962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12250521 divided by 9.\nAnswer: 1361169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71101 is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.6 - -54.6. Let s = 0.03 + -2.03. Let p = -3\/40 + -1\/8. Which is the second smallest value? (a) g (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2*5)\/(-2*sqrt(720)))\/(-6*-5*sqrt(72)*2).\nAnswer: sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u. Suppose 0 = 2*q + 3*q. Suppose 4*a - 24 = -q*a. Let l(v) = -2*v**2 - 5*v**2 + a*v**2. What is l(z(t))?\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13909 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -48 - 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-3 - -11) - (-14 + 6 + 5)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1036*c - 12448. What is j(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2, -8 in increasing order.\nAnswer: -8, -0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(0 + 5)*(-8 + 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 58*h**3 + 1.\nAnswer: -58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168935 is divided by 555.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (6*(-5)\/10)\/(9\/(-5262)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 2247116841362\nAnswer: 2247116841362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o)\/(o\/((o\/(o**(1\/5)*o)*o)\/o)))\/((o**(1\/4)*o)\/o)**24*o*o*(o*o*o**(-3\/5)\/o)\/o*o**(-1\/2)*o**(-1\/4)*o\/(o\/(o*o**(-3\/4))) assuming o is positive.\nAnswer: o**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*-1)\/((-13)\/13) + 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 14.6, -1, 3, 0.5 in descending order.\nAnswer: 14.6, 3, 0.5, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 58 = -q + 114, -4*q = 2*o - 178. Let k = -66 + o. Suppose -k*t + 13*t = -870. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**3 - 2*y**2 + 2*y. Let d(l) = -55*l**3 - 11*l**2 + 11*l. Give 11*a(z) - 2*d(z).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -355. Let d = 3090034.0189 + -3089746. Let p = d + b. What is p rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158 and 6587257?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 6, x: 8}. Give prob of picking 1 f and 1 b.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(sqrt(700) + 0 + sqrt(700) + sqrt(700))*1)**2.\nAnswer: 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 844219592 to the power of 1\/3, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21005, -41997, -62989, -83981?\nAnswer: -104973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-9)\/(-18)*-14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, g: 2, l: 4}. Give prob of picking 2 l and 1 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3288973862 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 1934*h - 24630. What is k(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -104084.44101?\nAnswer: 104084.34101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 2*i**2 - 7*i + 6. Let o be a(4). Suppose -p - 3*y = o, p + 5*y + 17 = -1. Suppose -p*v + 11 = -v. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721606186 a multiple of 1678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 7*m**5 + 16*m**4 + 11*m**3 + 2*m**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v, 4*v = z - 0*v - 12. Suppose z = -t, -3*t + 109000 = 3*n - 2*n. What is n rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 6)\/(1\/(-1)). Suppose -r + 1613 = p*o, 3*r - 4825 = -2*o - 0*o. List the prime factors of r.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*h + 3*y + 5, -h = 4*y + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1622?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4329558 is divided by 637.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14508095 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 34*h - 108 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 5*i + 39, -3*u + 36 = -3*i. Calculate the lowest common multiple of 8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose c*f = 5*z - f - 90, z = 2*f + 9. What are the prime factors of z + (-2 - -1 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 4:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10001111 (base 2) to base 12\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4517*x - 7 = 4524*x. Does 568 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 728 (b) 0.2 (c) -2 (d) 0.4 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2665 - -2736. Calculate the remainder when i is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q. Let g(n) = 3*n - 7*n + 3*n. Give f(g(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 5*r**2 + 6*r.\nAnswer: r*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*(sqrt(1100) - sqrt(1100)*-1) - sqrt(1100)))**2.\nAnswer: 520*sqrt(11) + 185904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -1.3. Suppose 8*s - 4*s = 48. Are d and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 10*z - 240. What is the remainder when 54 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ziiz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 801.6327 and -79.\nAnswer: 722.6327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66636615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 63*h**2 + 0*h + 0*h + 549*h**2.\nAnswer: 486*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -122, -109, -96?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 4*u + 1. Let j(i) = -6*i**3 - 9*i - 1. Calculate -3*j(r) - 7*k(r).\nAnswer: -3*r**3 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -71.1. Let l = -767\/6 + 255\/2. What is the smallest value in 1, -0.4, p, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/4 - 17\/12. Let y = -238.4 + 238. Which is the closest to g? (a) -1\/5 (b) y (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -13 + 5. Suppose -s = -0*r + 2*r - 35, 0 = y*r - 4*s - 40. Suppose -340 = 4*x - 348. What is the greatest common divisor of r and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 1167*z**2\/2 + 295*z + 1752.\nAnswer: -(z - 2)*(z + 584)*(2*z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 5, -1, -9?\n\"Answer: -j**2 - j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 11:37 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7 = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a + 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 566 = d - 5*q, 3*d - 5*q - 1678 = 0. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-144)\/(-4) + (3 - 0) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 4. Let l be v(-16). Let p = l - -57. Let o(z) = 4*z**2. Let g(r) = -4*r**2. What is p*o(q) - 4*g(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 22*x**2 - 3*x - 6. What is the remainder when 509 is divided by g(-7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7779594 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 2*n + n + (1 + n - 1)*(0 + 0 - 2) - 18*n - 2*n - 15*n + 4*n - 3*n + 0*n to w + o*n and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 10*w - 8. Let h(m) = -m**2 + 1. Give -4*h(c) - y(c).\nAnswer: 3*c**2 - 10*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q**(-11))\/(q*(q**(3\/10)*q*q*q)\/q*q)**(2\/37) assuming q is positive.\nAnswer: q**(2362\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 + -200.7. Which is the closest to -1? (a) -0.2 (b) k (c) -20 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 140*a + 789. Let i be v(6). What is the second biggest value in -9\/2, i, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100 + -111111100?\nAnswer: -1001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31995200 rounded to the nearest one hundred thousand?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -20\/27, -3044 in increasing order.\nAnswer: -3044, -20\/27, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 5. Let k = -0.02 + -1.98. Let t = k - -2.4. Which is the smallest value? (a) 0.3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + -313?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -2\/71 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*q - 8 = 0, 3*q + 11 = 4*x + 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - m**3 + 3*m - m**3 + 0*m**3 + 3*m**3 + (0*m + 4*m - 2*m)*(1 - 1 + 2*m**2))*(15 - 6 + 5) + 2*m**3 - 8*m**3 - m**3.\nAnswer: 63*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201923 is divided by 92.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17446 - 39.33?\nAnswer: -17485.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (0 + -2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17533 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2\/(-22 + (-14784)\/(-671)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187570 or -3?\nAnswer: 187570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000535479 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-3 - 0 - -8060). Is t\/(-51) + 2\/17 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1971 - -229. What is the highest common divisor of u and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 12. Let u be y(-4). Let c(v) be the third derivative of 1\/360*v**6 + 1\/210*v**7 + 2*v**2 + u*v**3 + 0*v**5 + 0*v + 0*v**4 + 0. Factor c(i).\nAnswer: i**3*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 60, 10, -33, -2 in decreasing order.\nAnswer: 60, 10, 6, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, e: 10, y: 2, j: 3}. Give prob of sequence vvy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2235 (base 6) to base 8.\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*p - 4*p + 4*p)*(24*p**2 + 0*p**2 + 6*p**2) + (-2*p**2 - 3 + 3)*(-p + p - 1 - 2*p) in the form n*p**3 + j + k*p**2 + g*p and give n.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + (sqrt(324) - 5*(sqrt(324) + 3*sqrt(324))))\/(2*sqrt(108)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -73 - (2 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 95717370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31770 = 31770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 5*n - 2, -2*n = -8. Sort 1, 0, l in descending order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3764*i. Let h(r) = -r. What is j(h(x))?\nAnswer: -3764*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:05 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/198 and 2*769\/336 - (-1628)\/(-5698)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5463*d - 5463*d + 9*d**2. Let j(b) = 3*b. Calculate j(l(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*w**2 + 38*w - 38*w in the form s*w + r*w**2 + t and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/20 + 63*i**4\/8 - 65*i**3 - 29*i**2 + 3*i. What is r in h(r) = 0?\nAnswer: -65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 2.4. Is d at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17350 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -276, -254, -164, -6, 220?\n\"Answer: 34*i**2 - 80*i - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 9. Let y(l) = -5*l - 10. Let x(u) = -6*q(u) - 5*y(u). Suppose j = m - 3, 2*m + 1 = 4*m - j. Let t(c) = -c**2 + 2*c - 5. Give m*t(v) + 3*x(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:49 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, -1, -6, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -110481406 to the nearest one million.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11000 and 2376?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**12*r*((r**32\/r*r)\/r)\/r*r*(r*r\/(r\/(r*r**(11\/5)\/r)))**26 assuming r is positive.\nAnswer: r**(641\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - -583. Let n = 631.8 - g. Which is the nearest to 1? (a) n (b) -2\/31 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 2*w**2 + 2*w - 1. Let d(p) = -p**3 - 7*p**2 - 8*p - 9. Let v be d(-6). What is the tens digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2818*g**2 + 193 + 147 + 11563*g**2 - 340 to the form y*g**2 + a*g + l and give y.\nAnswer: 14381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32510038 or 32510032?\nAnswer: 32510038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-56)\/308*11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2 - 2*x**3 - 2*x**2 + 16*x - 7*x + x**3 - 6*x + x. What is n(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2)*(2201*v - 79*v**4 - 2201*v) + (2*v**4 - 2*v**4 + 2*v**4)*(-4*v + 2*v + 3*v).\nAnswer: 81*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f. Let n(x) = -x - 23. Let m(q) = -18*q - 276. Let y(v) = -m(v) + 12*n(v). Calculate d(y(i)).\nAnswer: 180*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 + 8*k + 2*k + 3 - 4*k + 2*k**3 - 5. Let b be j(2). Let a be (2 - (2 + -8)) + -2 + 0. What is the greatest common divisor of a and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 292.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-495)\/(-22))\/((-1668)\/5560).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + y + 39 = 0, -2777*r + 2780*r - 2*y = 33 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.51. Let j = 0 + m. Which is the closest to 1? (a) -4 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23081 - 237?\nAnswer: 22743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n - 147. Let r be m(-15). Solve 4*v = r*p - 15, -3*v + 8*v - 20 = -4*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/6 + 3*z. Let x(c) = 17*c. Determine m(x(k)).\nAnswer: 578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z**2 - 20*z**2 + 6 + 40*z**2 - 10*z - 22 - 1. Determine b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 64*p**3 + 2*p - 2. Is l(1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(119) + sqrt(119)) - (2*sqrt(119) + sqrt(119))*5)\/(sqrt(63)\/(sqrt(9) + -2*sqrt(81))).\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, g: 3, i: 2, u: 2, o: 3}. Give prob of picking 1 u and 2 g.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3.71, -0.1, -4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (133\/(-28))\/(-8 - (-190710)\/23840). What is the highest common factor of 114 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:25 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**9\/60480 + w**6\/360 - w**5\/20 - 2*w**2. Let b(z) be the third derivative of p(z). What is the derivative of b(m) wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-135)*6)\/((-8)\/(-6)*567\/1890)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 39. Suppose -20 = -4*t - k. What is the second derivative of -7*l + 10*l**3 + 0*l**t - 7*l**2 + 7*l**2 wrt l?\nAnswer: 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 24*m - 7*m - 9*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 322 - -2?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = 5*c - 10147, 5*o + 2024 = c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**8\/448 + a**7\/70 + a**6\/32 + a**5\/40 + 4*a**2. Let m(x) = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 42. Let i(h) = 3*h + 1. Calculate the lowest common multiple of i(1) and 36\/c*98\/21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002 + 97.\nAnswer: 96.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22165.\nAnswer: 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -t + 62231. Suppose t = 5*l - 9308. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 10) in base 5?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6279 and 1001949?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1030 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108532?\nAnswer: 2, 431, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.6. Let d = -2.5 + m. Round d to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 126*a - 13*a - 121*a + a. Let f(y) = -46*y. Give u(f(q)).\nAnswer: 322*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 149371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 14*q - 9*q. Let y(a) = -a**2 - 5*a + 5. Give y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -695821*h. Let u(i) = -7*i. What is u(t(w))?\nAnswer: 4870747*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 8. Let o be g(6). Suppose 4*m - 4 = -o*x, m - 32 = -3*m + 5*x. Let v be 3\/(-1) + 1 + m. What is v rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 374 + 406 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(72) + -1 + sqrt(72) - (sqrt(2) - (-2 + sqrt(32)) - sqrt(90)\/sqrt(5)))*-3 + -4)**2*-2.\nAnswer: -11666 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**2 + 8*x**2 + 8*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 - 3*o - 12. Let r be c(-5). Suppose -2*z = -y - 86, -r*z + 2*z - 5*y = -32. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5180 - -5180.00188. What is x rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 - 9*g - 39. What is h(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15804 and 40?\nAnswer: 158040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/20 - c**4\/12 + 7*c**3\/6 + 6*c**2 - 5*c. Let x = -13 - -18. Let b(v) = 4*v**2 - 3*v + 8. Determine x*b(y) - 6*m(y).\nAnswer: 2*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394021773?\nAnswer: 19, 43, 727, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2428644 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415750 is divided by 95?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose -2996 = 2*a + v*a - b, -2*b - 2408 = 4*a. Let n be a\/(-2*(-3)\/14100). What is n rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926568 divided by 6056?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(2057)) - (sqrt(2057) + 0 + sqrt(2057) + 5))*-5.\nAnswer: -165*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -340485393 <= -340485396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/3, -0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -6406154?\nAnswer: 6406160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, 1\/9, 0.4, -69?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/9972611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/607156 and -50\/151789?\nAnswer: 607156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2685246821 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(15\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144\/17 + -1155\/34. Which is smaller: -25 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let h(n) = n - 2. Calculate -3*h(d) + 5*u(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22585470*x**3 - 1037513*x**2 + 12.\nAnswer: -135512820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 15579825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3153913 + -1899948. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 985930 and 350.\nAnswer: 34507550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0649596279+4597\nAnswer: 4596.9350403721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from pzggzodppppofoo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 45733.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 16. Let f be (-2)\/j*4*-334. Suppose -23*k = -21*k - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7\/3*1*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126345781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3 - 470*z**2 + 14789*z + 15260 = 0 for z.\nAnswer: -1, 35, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -17.01508?\nAnswer: -18.01508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/32*(-59)\/((-2360)\/96)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 12*s + 9*s - 4*s. Let y(u) = -12*u. Determine o(y(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362484219?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 162, 9 in descending order.\nAnswer: 162, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + m**3\/6 + 2*m**2 - 2*m. Calculate g(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2. Let v(n) = -15*n**2. Let j(k) = -9*l(k) + 4*v(k). Let t(b) = -6*b + 3. Calculate j(t(w)).\nAnswer: 108*w**2 - 108*w + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/72 (b) -0.113 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*20\/(-255). Let x be -3 - ((-69)\/21 - 0). Which is the nearest to x? (a) t (b) 1\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(3888))**2 + -1*(sqrt(3888) + -2))*3*-3.\nAnswer: -35019 - 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58722425 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:00 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, u: 1}. What is prob of sequence umm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17151 = -23*j + j + 16689 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436228 divided by 2?\nAnswer: -718114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0157792 rounded to 4 dps?\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0\/1 - 0). Let x(m) be the third derivative of 1\/120*m**6 + 0*m + 0 + a*m**4 + 1\/6*m**3 + 3*m**2 - 1\/60*m**5. Calculate x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26939.02 to the nearest 100.\nAnswer: -26900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.053?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (51 - 50) + 384840\/(-79226). Let q = 2\/5659 + h. Let b = -1586 - -87239\/55. What is the common denominator of b and q?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 121350.\nAnswer: 14\/60675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(1\/10)))\/j)\/j)**(-3)*(((j\/j**(-4\/13)*j)\/j*j*j*j)\/j)\/(j\/(j\/j**(2\/19))*j))**(6\/5) assuming j is positive.\nAnswer: j**(58557\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {w: 2, g: 5, l: 8}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -4027 and -3839 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52674.\nAnswer: 2, 3, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1004, -1024, -1072, -1160, -1300, -1504?\n\"Answer: -2*t**3 - 2*t**2 - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let j = 28 - 20. Let x(m) = -j*m + 1 - 3 + 3. Determine -9*s(t) - 2*x(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(288) - sqrt(288))**2 + 3 - (5*-6*1*sqrt(288))**2.\nAnswer: -259195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 515*b + 8*b**2 + 1 - 472*b - 9*b**2 - 1 as y*b**2 + n + w*b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1994267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45679347, -91358706, -137038063, -182717418?\nAnswer: -228396771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22584*5.\nAnswer: 1.1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 79*z**3 - 15*z + 84. Let g(s) = -19*s**3 + s - 3. Determine 4*g(w) + v(w).\nAnswer: 3*w**3 - 11*w + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20626897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*x - 777105 - 50986. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 631 and -2411.\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -98. Let q = 590124 - 590224. Are q and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n**3 + 162*n**2 + 312*n - 21. Determine g(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2119 - 1229. List the prime factors of u.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 1, r: 3, y: 2, s: 3, b: 2}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, 0, -55 in increasing order.\nAnswer: -55, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**4 - 2753860*v**3 + 8*v**2 + 1410*v - 58.\nAnswer: 96*v - 16523160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -5*k**3\/2 + k**2\/2 + k. Let f be q(-3). Let z = -17 + f. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098595467 to four decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -1, 18646, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1737177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 1. Let b be o(1). Suppose -j = b*j. Is 16 + (-3 - j) - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1 + (-2)\/8). Let k = v + -5. Suppose -3*y = -n - 11, 4*y + 8*n = -0*n + 52. What is the second biggest value in y, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14976 and 141440?\nAnswer: 1272960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050166 minus 0.33?\nAnswer: -0.279834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 125, 63, 3.\nAnswer: 3, 7, 63, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18522746?\nAnswer: 2, 11, 227, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -774 - 3?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -105, -87, -51, 9, 99, 225, 393?\n\"Answer: t**3 - t - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 - 15.09. Let b = 15 + g. Sort -3, b, -4.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - s + 3*s + 4*s**2.\nAnswer: 14*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, r: 6, u: 3}. Give prob of sequence rr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.13\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18629*m**2 + 4627*m.\nAnswer: 37258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, -8*q - 2*x - 2 = -3*q. Factor 2\/11*b**4 - 2\/11*b**2 + 0 + q*b - 2\/11*b**3 + 2\/11*b**5.\nAnswer: 2*b**2*(b - 1)*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230011 - 1302?\nAnswer: -1231313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3845*i*j**2*n - 2*i*j**2 + 2*i*j*n - 4*i*j - 8177*i*n - 5*j**2*n - 2*j**2 wrt j.\nAnswer: 7690*i*n - 4*i - 10*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 - 11) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 69. Let v = -65085 - -65090. What is the remainder when h is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 2}. Give prob of sequence jj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 1, a: 5}. Give prob of sequence pl.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2205*g + 181588. Suppose 3*q + q - 88 = 0. Calculate the least common multiple of t(-82) and q.\nAnswer: 8558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5580 divided by 310.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 + 3 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10*(-62 - -60). Let m = -2.7 - -20.7. Let k = m - 13. Which is the closest to -3\/2? (a) k (b) 2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 184?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321081941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187149 is divided by 622.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25\/6, -1\/7, -26, -628?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = 41. Let u be 2\/3*3*j. Let t be (-1)\/4 + u\/(-72). What is the smallest value in -5, t, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 1150 = -97*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -19*w**4\/4 + w**3\/3 - w + 1. Is b(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*(-362)\/1629?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*m**2 + 300*m - 896*m + 306*m + 295*m to k*m + g + l*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 - -693. Let g = -245 + j. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7 - 18 = -4*n, -5*n + 19 = 3*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121408 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2329922920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4328, 8668, 13022, 17390, 21772, 26168?\n\"Answer: 7*q**2 + 4319*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 6*b - 265. Let m(w) = -5*w**2 - 7*w + 266. Let z(n) = -3*m(n) - 4*t(n). Let a be 2 - ((4 - -4) + -4)\/2. Is z(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 50*h = -1064. What are the prime factors of h?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {l: 2, z: 1, q: 2, h: 1, c: 2, o: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3 - 52*y**2 + 64*y + 768 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 223*c - 3886. Let r(s) = -s**2 - 442*s - 7765. Let u(x) = -5*b(x) + 2*r(x). Factor u(p).\nAnswer: 3*(p + 25)*(p + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 57*n. Let t(m) be the first derivative of m**2 - 19 - 21 + 53. Calculate t(k(v)).\nAnswer: 114*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 24. Let w = c - 13. Let x = -14.0072 + w. Round x to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4147214*k**4 - 9373*k + 957 wrt k.\nAnswer: -49766568*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, i: 2, a: 1, o: 1, v: 1}. Give prob of sequence mvoi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 2\/(-25) - (1270512\/(-150) - -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1237 + 1622. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*r**3 + 439*r**3 - 901*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**2 + 7136*n - 20540.\nAnswer: -(n - 790)*(9*n - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -70. Sort u, 23, 0.\nAnswer: 0, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/35 != 0.763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11732, -23566, -35400, -47234, -59068?\n\"Answer: -11834*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.2070954.\nAnswer: 0.06212862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + v + 2*v)*(v - 3*v + v) + (-3*v + v + 4*v)*(2*v + 4*v - 4*v)*(-6172 - 4473 - 1401) as a*v**2 + j*v + d and give a.\nAnswer: -48186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -0.1?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*u = 9, 0*t + 3*t + 4*u = -25. Calculate the remainder when ((-2)\/4)\/((-2)\/68) is divided by 0 - -3 - (t + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1323969656971 + 1323969656971 - 122*b**2.\nAnswer: -122*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(6)*-1) + sqrt(39))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000436 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a = -40. Suppose -s + 3*s = o + 20, a = 3*s + o. Suppose -6*j + 0 = s. What is the nearest to -1\/2 in 4, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/6 + 5*x - 5. Let n(t) = -36*t + 2. Calculate n(y(g)).\nAnswer: -72*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let k be m(-2). Let q(v) = -v**3 + 2*v**2 - 1. Suppose -2*i + 4*i = -6, 3*o - 5*i = 36. What is the remainder when o is divided by q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 - 56*a**4 + 1350*a**3 + 37908*a**2 = 0. What is a?\nAnswer: -27, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghr when three letters picked without replacement from urggruurgughu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 8. Is 0 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(3) + 1 + -3 + 3 + sqrt(3) + -2 + 2 + 0))**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b - 24. Suppose 3*s = 2*w - 3, 2*w - 2*s + 6 - 4 = 0. Let x be h(w). What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 1503?\nAnswer: 28557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.8. Let d = 1.208 - -49.892. Let q = d - 51. What is the closest to q in 0.2, -4, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3\/2*b**2 - 8\/3*b**3 + 1\/4*b**4 + 3 - 10*b. Let u be l(9). What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-12)*c\/(c**(1\/6)*c)*c)**(10\/3) assuming c is positive.\nAnswer: c**(415\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddcc when four letters picked without replacement from cccdcydccccyccdcddd?\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*3\/(-3))\/(-1). Suppose 583 = z*h - 617. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 6*o - 5. Let v be c(-5). Suppose v = -4*p + 25 + 63. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 1, w: 5, k: 6}. What is prob of picking 2 w and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153774, -153845, -153916?\nAnswer: -153987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 38*g**3 - 2460*g**2 + 15704*g - 21280 = 0. What is g?\nAnswer: -38, 2, 4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 5. Let o = 77 - 73. Let x(j) = -j**3 + 4*j**2 + 5*j - 14. Let z be x(o). What is y(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -104. Let k(o) = -2*o**2 - 6. Let r(m) = 1. Determine q*r(a) + k(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391 + 68. Let l = -129 - d. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 + 0*x**4 - 4*x**4 + 2*x**3 - 13*x + 202*x**2 + 2 - 398*x**2 + 197*x**2 in the form y*x**2 + j*x + b + i*x**3 + v*x**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 929243*t**2\/5 - 215873602883*t\/5 - 215872673641\/5.\nAnswer: -(t + 1)*(t + 464621)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(2912\/39))\/((-17)\/((-3332)\/(-24)))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:18 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 17 = 3*q + 9, -2*q = -4*w + 32. Let m = -8 - q. Suppose v = 4*v - m*p - 1409980, -5 = -p. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/4))**(-3\/26)\/(w**(-3\/5)*w**(-1\/7)\/w*w) assuming w is positive.\nAnswer: w**(2389\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - (3 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 5*k**4 - 3*k**4)*(3 - 2 - 3) + (-4*k**2 - 39*k + 40*k + 17*k**2)*(-6*k**2 - 21*k**2 + 4*k**2).\nAnswer: -301*k**4 - 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 4864, 386 in increasing order.\nAnswer: -3, 0, 386, 4864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.19883924 times -0.3\nAnswer: -0.959651772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/11, 16, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2 + 12*y + 3. Let j(w) = -17*w - 12 + 66 + 12*w. Let c be j(9). What is f(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*n = 46, 2*y = -n - 32039 + 32014 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/167 or -1?\nAnswer: 5\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 70. Let t be 120\/(-2)*y\/(-42). Which is smaller: t or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (2 + 2 - 2). Let b be 2 - (-3 + 39\/k). What is the third smallest value in b, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 9. Let i be q(5). Solve 2*f**3 - 2*f**2 + i*f - 2 + 2*f - 4*f**2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 39. What is the remainder when 91 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 4 - 22*u + 1 - 10*u + 2.\nAnswer: -36*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4\/3 + 32*x**2 + 87*x - 14. Let y(o) be the first derivative of g(o). Suppose y(b) = 0. Calculate b.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7082 is divided by 3541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 + 0 + 0 + (2*c**4 + 0*c**4 + 0*c**4)*(3*c - c + 0*c).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46772 and 175395.\nAnswer: 701580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2305949, -2305900, -2305829, -2305742, -2305645, -2305544, -2305445, -2305354?\nAnswer: -2305277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = 2*j - 0*j, -4*i - 3*j = -6. Let r(l) be the first derivative of 1 + 1\/4*l**4 - l**2 - 2\/3*l**3 - 3*l. Calculate r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 115*y + 1351. Determine s(-10).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 143\/14, 1\/4, 4, -0.2, 0.22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = a + 4*q, 0 = a - 29*q + 31*q - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 962*c - 334*c = -5056 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1010011100100101110111010?\nAnswer: -1010011100100101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 17. Let l be m(-11). Let o(z) be the first derivative of -1\/4*z**4 + 1\/10*z**5 - 3 + 0*z**3 + 0*z**2 + 1\/12*z**l + 0*z. What is i in o(i) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 15. What is x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0856 - -0.0856. Let j be (-1 - -3)*145\/6. Let l = -48 + j. What is the third smallest value in 4, 1\/2, r, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262 - 30677?\nAnswer: -30415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1376 by 6665.\nAnswer: -32\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 884 + -619. Let j = -260 + i. Put 2, -0.3, j, -6 in decreasing order.\nAnswer: j, 2, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.21 + 9.574. What is b rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let a = 3 + -1. Let v(l) = -2*l**2 + 0*l**2 + 0*l**a. Determine r(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24468, -29959, -39110, -51921, -68392, -88523?\nAnswer: -112314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2375 divided by -72.\nAnswer: 2375\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) + 0)**2 - 6*sqrt(12)\/sqrt(4)) + -4)*-1.\nAnswer: -188 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = h. Suppose -h*c + 7 = -1. Let x(p) = -p + 4. What is the units digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 715. What is the remainder when -1*(-30)\/20 - x\/4 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/15)*a**1)\/(a\/((a*a\/a**1)\/a))**44)\/((a\/(a*a\/a**(2\/7)))**(-1\/28)\/(((a\/(a**(-2)\/a))\/a)\/(a**3*a))) assuming a is positive.\nAnswer: a**(-129043\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 10936*r**3 + 10934*r**2 + 10936*r - 10935.\nAnswer: (r - 10935)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3679 to the nearest 10.\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 39801741921?\nAnswer: 39801741922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942937*s - 1942842*s = 6365 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -11096129?\nAnswer: -11096132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = -4*u. Let x(b) = 2*b**3 - 3*b**2 + 4*b + 1. Does 19 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(288) - ((sqrt(98)*3)**2 + 1).\nAnswer: -888 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 at most as big as 889000\/747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8704.735 millimeters to meters.\nAnswer: 8.704735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2312\/9 = 256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*g - 18 = 0, 9*g - 4*g = p - 11. Which is the closest to -0.1? (a) p (b) 199 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168 + -82 - 57) + -50?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 16843800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 10. Let w be b(-2). Calculate the highest common divisor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4185039 is divided by 325.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.3. Let d be (-4)\/6 + (-4)\/(-12). Let w = 683 - 687. What is the second biggest value in w, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.887 take away -9851.2665?\nAnswer: 9839.3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 3 - -2 - -13. Let j(m) = -m**2 + 14*m - 12. Let f be j(y). Sort 0, 3, f in ascending order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488525.4*-0.01\nAnswer: -4885.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19433813 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 - l - 4. Let i be g(3). Suppose -6 - 7 = -2*m - 3*o, 0 = -m + 3*o + 11. Let d = m - i. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -250\/7, 1, 8, -3\/2?\nAnswer: -250\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 1. Let p = z - -10. Which is the nearest to 1? (a) p (b) -5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 9*j**2 + 99 + 27*j**2 - 97 to the form h*j + c*j**2 + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxbb when four letters picked without replacement from ubxubbbu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/5)\/((-3)\/(-23)). Solve 0*s + 5*s + 40 = -5*d, 4*d = -s - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10034*c + 17249 - 333555 = -1510*c + 50226 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -51.5, 0.4, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1953, 1977, 2021, 2091, 2193, 2333, 2517, 2751?\nAnswer: 3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 3 - y**3 + 5*y - y + 2*y. Suppose -s - u = -3*u - 12, 3*u = -3*s. Let c be b(s). Solve -2*h = -c*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 + -1315)*(2 + 1 + -4) and 2.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 0.4, -0.36, 2, 1?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33037 - 0.1322\nAnswer: -33037.1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 728?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1758\/6153*1\/(24\/7)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0483 and -260.\nAnswer: -260.0483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*u + 117 = -462*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29144.\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42574.2 and 5?\nAnswer: 42569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1114 - 223418?\nAnswer: -224533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2536 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from awwhrhhaoayr.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 1865, 6390, 15237, 29846, 51657, 82110?\n\"Answer: 240*g**3 + g**2 - 40*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 530, 512, 494, 476, 458?\n\"Answer: -18*f + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 33, -14?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0 + 0 = -0*o, 6*v - 25*o - 63 = 9*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwkrwkkujwqk. Give prob of sequence wurw.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 496 + (-2*2)\/(-4). Suppose -2*w = -3*w + r. Suppose -4*m = 3*q + m - w, -2*m + 8 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15 + (-2873)\/(-5). Suppose -p = -2*i - 190, 2*p = -p + i + a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 + 3*m**2 - 440*m - 952. Let h(v) = 14*v**3 - 8*v**2 + 1324*v + 2856. Let p(b) = 3*h(b) + 8*z(b). Differentiate p(a) with respect to a.\nAnswer: 6*a**2 + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 + 218*n**2 + 3804*n - 30888 = 0 for n.\nAnswer: -198, -26, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*n = 20, -v - 8*n = -7*n. Sort 0, 4, v, 107 in descending order.\nAnswer: 107, v, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 140*i**2. Let g(c) = -67*c + 3261 + 3253 - 6514. Give g(y(a)).\nAnswer: -9380*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 1, -2126, -8 in increasing order.\nAnswer: -2126, -8, 1, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/70)\/((-7376)\/(-4610)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 160?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 555.43 - 2.43. Do -0.1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29584 and 3698.\nAnswer: 29584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21863639 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -24*s - 103. Let h be y(-13). Let n(x) = -h*x + 209*x + 2*x**2. Let k(l) = -31*l + 1. Give n(k(r)).\nAnswer: 1922*r**2 - 124*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 31*m**2 + 34*m - 60. Let l be c(32). Solve 0 = -q - l + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*y**3 - 1 + (2*y + 2*y - 2*y)*(y**2 + 0*y**2 - 3*y**2))*(4*y**2 - 3*y**2 + 0*y**2).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -190908425 and -1914?\nAnswer: 190906511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 860568 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1077, 1171, 1265, 1359, 1453?\n\"Answer: 94*y + 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*r = 73, -3*v = 4*r - 70 - 57. Let w(t) = -24 - 25 + v - 2*t. Let g(c) = c**2 - 9*c. Determine g(w(k)).\nAnswer: 4*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*189\/126. Suppose 94 = 3*b + k, -l*k + 40 = b + 7. Which is smaller: 19 or b?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3621 and -4?\nAnswer: 14484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -1\/7, -2\/11, -33.8, 4031?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y + 3. Calculate the remainder when k(-13) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11396 by -114.\nAnswer: 5698\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -23, -13 in increasing order.\nAnswer: -23, -13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190.6 - 144293.\nAnswer: -144483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/1561 and -12\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*v**2 - 20*v + 1744*v**2 - 421*v**2 - 472*v**2 - 430*v**2.\nAnswer: -v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t + 10 = 0, 3*t = 3*x - 36. Suppose 0 = j - 2, x*j - 3*j = 4*u - 336. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 0, 5*f + 0*h = h + 23. What is the remainder when 19 is divided by 2 + 1 - (1 - f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30123381 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28\/(-16)*(-76 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 191 = -3. Let i = 17 - f. Suppose -i = -4*w - 2*d, -4*w - 3*d - 16 = -5*w. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5. Let o(i) = -2. Let y(m) = -8*o(m) + 3*v(m). Let t(k) = -k**2 - 7*k + 2. Let p(h) = t(h) - 5*y(h). Let q be p(-5). Solve 5*z = -2 + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -22*w**2 + 70*w**2 + 68*w**2 - 14*w + 6*w - 13*w**2 - 2. What is the units digit of n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h**4\/5 + 2787*h**3\/5 - 48126*h**2\/5 + 260091*h\/5 = 0. What is h?\nAnswer: 0, 13, 513\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1782.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 6*q - 3. Suppose -2*l - 1 = b, -4*b = 4*l + 5 + 11. Let c be a(b). What is the second derivative of -6*d - 2*d - 3*d - 4*d**5 + c*d wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z - 2*z. What is the second derivative of 0*u**2 - 17*u + z*u**2 - 6*u - 2*u wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 3109?\nAnswer: -310b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r - 18. What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10466040, -10466027, -10466006, -10465977?\n\"Answer: 4*p**2 + p - 10466045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248785747.\nAnswer: 7, 149, 238529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 21. Let m = y - -0.73. Let i = -0.73072 + m. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.1 + 32.249. Round x to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w + 2 = 0. Let z(l) = -l**2 - 5*l - 2. What is the units digit of z(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 3*p - p + (1 - 4*p - 1)*(1 - 5 - 1) + 5*p - 6*p + 3*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065 and 0.046?\nAnswer: 0.00299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -91007*s + 1182630. Determine p(13).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 a factor of 340656864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074315997 to five decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 147, -0.5?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -577859868 divided by 64206652\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -112*l + 108*l. What is the common denominator of (-21 - -20)\/(4\/l*-12) and -39\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48864.75 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78740973.2 rounded to the nearest 100000?\nAnswer: -78700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 36846*s**2 - 113172480*s + 226197600 = 0. Calculate s.\nAnswer: 2, 6140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 354541 and 6.\nAnswer: 2127246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Suppose -2*g = -4*b + 6, 2*b - 11 = -2*b + 3*g. Let h be 0\/b + 6\/(-9). Does h = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, n: 3, w: 5, j: 4}. Give prob of sequence jjwn.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214672 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 * -2\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = f, -5*r + 10 = 5*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddsgududtts. Give prob of sequence dt.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4750 in -7, 0.2, -2.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 8) to base 4\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 402344 (b) 2\/19 (c) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 18*c = 8. Let b(r) = 3*r + 35. Let z(w) = 2*w - 1. Let m(y) = c*b(y) - 6*z(y). Calculate the lowest common multiple of 2 and m(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -377 - -377. Let l(m) = m**2 - 16*m - 12. Let o be l(9). Let t be ((-60)\/o)\/(1\/5). Solve w*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 12 - 18. Let r = h - 19. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.92 - -9. Let t = -0.07999937 + m. What is t rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 798841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39086 less than 4729272\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*i - 3*i. Let r be (-15)\/25 - 133\/(-5). Suppose -4*p - r = -2*d, -5*d + 15 = -p - 5. Put 4, i, p in decreasing order.\nAnswer: 4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -60. Let r = 50 - d. Let w = 49 - r. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1174*o + 22307. Let i be n(19). Let v(g) = g + 5. Let z(d) = d - 1. Let h(p) = v(p) + 4*z(p). Calculate h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*2*20\/((-2240)\/(-252)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 + 0*f**3 - 2*f**3 + 3 + 3*f**3 - 10*f**2 in the form r*f**3 + h + s*f + c*f**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127074 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31717393 times -0.1?\nAnswer: -0.031717393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6744346 and 84.\nAnswer: 40466076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 4\/22 - (-2976)\/88?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22 = -x, 3*x + 4*i - 3*i - 1 = 0. Suppose -2*r = -3*t + 141, -x*t + 5*r + 240 = 3*t. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:07 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 3*c - 13*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 2. Let x(g) = -3*g - 6. What is -8*r(z) - 3*x(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*t = -28, 5*t + 78 = 3*k + 29. Let f = -39763 - -39995. Calculate the highest common divisor of f and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -109. Let s(n) = -n**2 - 19*n + 23. What is the tens digit of s(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 307?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -221.7, -6, -0.1, 2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*g + 3201*g = 1816*g - 49573 for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*w + 8*w - 11*w. Let o(f) be the second derivative of w*f**2 + 0 - 9*f - 2\/21*f**3 - 1\/42*f**4. Factor o(j).\nAnswer: -2*j*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 25, 144, 389, 802, 1425, 2300, 3469?\nAnswer: 4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + -8 + -2 + -1 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = -4*t, 4*t + 18 = g. Suppose -4*k + 82 = 2*j, -k + 0*k - 4*j = -g. What is the greatest common divisor of k and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, -2, 14 in ascending order.\nAnswer: -3, -2, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*v + 6 = -7, -2*v = 5*y + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 16) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)*-2 + sqrt(4))*-6*-6)\/(sqrt(22)\/(2*sqrt(11) + sqrt(11))*1).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 6711 = 614. Suppose 4*t = 17*t - v. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 7*n. Let j = -18 + 11. Let d be m(j). Let z(w) = w - w - w + d. Let g(t) = -2*t**2. Determine z(g(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -98. What is the derivative of -7 - 5 + 2 + x*w**4 - 47*w**4 wrt w?\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17. Suppose -x + 0*l + 4*l = 12, z = -x + 2*l - 10. Let u = -16 - -8. Are x and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5999 is divided by 751.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 483*q + 1090. Is t(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3\/7 - 1812*v**2\/7 - 90855*v\/7 - 965250\/7 = 0. What is v?\nAnswer: -550, -39, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4347 and 302429484?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/11)\/f**0*(f**(-5\/7)*f)\/(f**(1\/19)*f) assuming f is positive.\nAnswer: f**(-856\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -50, -100, -184, -314, -502, -760, -1100?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -2112?\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 - 39*h**2 - 51*h + 77. Let o(i) = -11*i**3 + 39*i**2 + 50*i - 79. Let j(f) = -5*o(f) - 6*w(f). Is j(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 7*l + 7. Let q be a(6). Let z = 426 + -445. Let y = z - q. Solve -y = 2*b + 5*h, b - h + 7 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -99, -3\/5, -1, -4, 3, -0.09?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31188781575 - 537.\nAnswer: 31188781038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5061702 and 195719144?\nAnswer: 587157432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/20 + 3*1\/(-4) - -17. Solve 4*r - 3*r + 3*f = a, -4*f + 2 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - 88*m - 125 + 63*m with respect to m.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -593*o - 1758. Let c be p(-3). Solve 6*u - c*u - 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21768 and 32652?\nAnswer: 65304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -4. Suppose l - 2*m = 4, m = -3*l - t*m + 12. What is the first derivative of -2 + s**4 + 0*s**4 - 4*s**4 - 2*s**l wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1272)\/(-51) - (-19512)\/18428.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + (-211882)\/(-50). Let y = 4238 - r. Calculate the common denominator of (-173)\/(-77) + (-363)\/847 and y.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-23) - (2 - 0) - 72738\/12123?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeefeeeeeeeeeeee?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -7 - (19 + (-44 - -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 8*x**2 + 0 - 2*x**3 + 2*x + x**3 + 8. Let z be -4*((-2)\/(-4) - -1). Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -h - 72, -20 - 43 = -4*p - h. List the prime factors of 2132\/15 + (-2)\/p.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-33)\/(-12) + -3). Let a be 4*3\/6*(-3 - x). Sort -3, -5, 5, a in decreasing order.\nAnswer: 5, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-10))\/(4\/13160). Suppose -120*v + q = -106*v. Calculate the highest common divisor of v and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 777, 1164, 1551, 1938?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -253 - -509\/2. Which is the closest to -13? (a) -0.4 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202 and 86961.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 9*q + 9. Let u be n(-10). Let i be (-32)\/(-12)*(-12)\/56. What is the nearest to -1 in 5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26181 and 1538861.\nAnswer: 13849749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321.735207 + -0.074793. What is z rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1148*x - 26088. Determine h(-23).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4972 - 9961 + 4986 - 9*g + 3*g**2 as r*g + f + z*g**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762202 not equal to 5762199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 - -4.98. Let x = -0.0891 - 5.3009. Let s = x + 1.39. Sort s, -2\/11, j in increasing order.\nAnswer: s, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 76. Let g = -41 + f. Suppose -6*z = -2*z + 3*z. Solve z = -5*n + g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 10*w + 7. Let d be f(9). Let q be d - -2 - (0 + 0). Find the common denominator of 59\/8 and (-27)\/(-120)*105\/q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44577648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 4*x - 5. Let u be o(4). Suppose s - 172 + 184 = -4*k, 4*s + 48 = -5*k. Put 4, u, k in ascending order.\nAnswer: u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -280, -319, -370, -427, -484, -535, -574?\n\"Answer: n**3 - 12*n**2 - 10*n - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -213. Let n be ((-1)\/(-2))\/((-5)\/h). Let o be 2*(-3)\/(9\/n). Round o to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7688 is divided by 1892.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90.1 + 113. Let q = -23 + a. Let v = 51 - 56. Put v, 7, q, -1 in decreasing order.\nAnswer: 7, q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5\/7 - 1602*f**4\/7 + 193779*f**3\/7 + 5363496*f**2\/7 + 33627312*f\/7.\nAnswer: 3*f*(f - 279)**2*(f + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 6*f - 4*f)*(2 + 1 - 5)*(2*f + 2*f - 5*f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3316, -8732, -18360, -34306, -58676, -93576, -141112?\nAnswer: -203390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 37*h**2 + h + 1. Suppose -209 = -5*l + 5*w + 691, w = -5*l + 900. Suppose -4*u = 5*u - l. What is the remainder when k(-1) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3042 and 2.\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 4*z + 7. Let d be k(5). Calculate the highest common factor of 156 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/3 - w**3\/6 - w**2\/2 + 3*w. What is the remainder when o(-2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + -2082\/13. Let p = -1 + 2. Let b = p + -1. What is the third smallest value in k, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 634188088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 3, -1\/4, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-480)\/(-72). Suppose y*m - 102095 = 37775. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12983057 is divided by 355.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 9*v**2 + 36*v. Let w be l(-12). Put 4, 43, w in descending order.\nAnswer: 43, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t + 2. Let y be l(0). Is y equal to 10\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-9)*21\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4 + 5. Suppose 435 = 4*t - y*v, 3*t - 5*v - 320 = -4*v. Does 41 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c + 9. Calculate u(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 468288960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 4, l: 1, z: 4, s: 1}. Give prob of sequence iisi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*t + 43, 2*w - 261 = -0*w + 9*t + 10*t - 16 for w.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-6) - -1)*3. Let l be (-32)\/(-84) - (2\/5 - 0). Let y = 188\/1155 - l. What is the closest to -2\/7 in y, 0.5, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -465*c - 632. List the prime factors of t(-7).\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = -2*g + g, 0 = -3*g + 2*m + 2. Suppose i - c + 7 = 0, 2*c + 5 = -g*i + 11. Let k be (-140)\/(-44) - i\/(-11). Solve -k = -6*a + 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -5. Find l such that 4*l**3 - 9*l**3 - 15*l**4 - 9*l**2 + 0*l**4 - 3*l**v - 16*l**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1983 + -0.101459029.\nAnswer: 1982.898540971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(m**2 + 2*m**5 - m**2) + 0*m**5 + 4*m**5 - 2*m**5 + 0*m**5 + 4*m**5 - 5*m**5 - 12*m**5 - 52*m**5 - 66*m**5.\nAnswer: -125*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*m + 129*m = -384*m - 337*m - 75442 for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let z(m) = 31833*m. Give z(l(c)).\nAnswer: -95499*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 5*x + 252 - 52, -25*x + 28*x - 42 = -3*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = -2*o, 4*v + 0*v + 10 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 4 + 6*i)*(3*i - 3*i - i).\nAnswer: -6*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9121a5 + -5?\nAnswer: -9121aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7417 - -7418. Which is the nearest to u? (a) -4 (b) -0.011 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1753413\/77 - 22772. Find the common denominator of 113\/42 and m.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/373863 and -97\/5622.\nAnswer: 747726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 24. Let h be a(-7). Suppose -7 = -b + 3*x, b = 6*b + h*x - 17. Let k = 22 - b. What is the highest common divisor of 27 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/9 + 8528*w\/9 + 17060\/9.\nAnswer: -(w - 8530)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001228 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Suppose 4*z = q*z - 6. Let m(y) = -y**2 + 6*y + 8. What is the units digit of m(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 91 and -3264.\nAnswer: -3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-328)\/10 + 474\/395 + 2\/(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6766?\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*k = -37, g - 2*k - k - 17 = 0. Suppose g*f + 3*v + 62 = -0*f, -2*f = -5*v. Let m = f + 14. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqwrssqwrr. What is prob of sequence swsw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 188*h + 727. Give o(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 3*v - 4*v)*(3 - 9*v - 3)*(5*v**2 - 4*v**2 + 8*v**2).\nAnswer: -162*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkjj when four letters picked without replacement from {j: 6, r: 1, k: 12}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12 + 63*r - r**2 - 102*r + 39*r. Determine p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -260.\nAnswer: -73\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143980 divided by -71990?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-9 + -9) - (1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t. Let w be l(-1). Let r(h) be the first derivative of -h**2\/2 + 72*h - 1. Let a be r(w). What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*a - 124*a + 1440 = 5*h, 876 = 3*h - 5*a. Calculate the highest common divisor of 188 and h.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9910 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2042654 - -2043179.9633. Let s = d + -526. Round s to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - -0.1. Let f = l + -1. Let r = -36.03 + 36. Put r, 2, f in ascending order.\nAnswer: r, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*z + 3*n - 3, -4*z - 3 = -n. Suppose 3*s - 3*t - 21 = 0, 19 = 4*s - 9*t + 8*t. Let f be ((-6)\/s)\/z*8. Put -3, f, 0 in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1 + 4*q - q**2 - 1 - 4*q. Let l(v) = -v**2 - 3. Let h(p) = -2*l(p) + 3*t(p). Let k(c) = -3*c. What is h(k(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**2\/2 - 5*u - 799. Let i(p) = p - 4. Calculate 6*i(b) - 5*k(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -0.905.\nAnswer: -11.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -133701 (base 9) in base 12?\nAnswer: -3b1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446558?\nAnswer: 2, 7, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1232 divide 8286328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n**3 + 710040*n**2 + 5041426005*n - 2016684010 = 0. Calculate n.\nAnswer: -14201, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 2. Calculate f(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 2*z**2 - 2. Let l(d) = 6*d**2 - 22 - d - 2 - 23*d**2 + 7 - 9*d**3. Let n(w) = -6*l(w) + 51*p(w). What is the second derivative of n(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5304*n + 5311*n + 5309*n - 4*n**3 - 15924*n + 3*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7 + 4*h - 8*h - 5*h. Let f(c) = -c + 1. Let u(l) = -6*f(l) + q(l). Let y(g) = -g. Calculate -u(z) + 4*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 200, -5, 1, -1, -3 in decreasing order.\nAnswer: 200, 1, -1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.101 and -21.2144.\nAnswer: -21.1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 3*n, n = j - 9 + 8. What is the second smallest value in n, 289, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -0.21. Let v = q + -1.07. Does v = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 - 4*g**3 + ((-2*g**2 + 3*g**2 + 0*g**2)*(-2 + 3 + 0) + g + g**2 - g - g**2 + 3*g**2 + 0*g**2)*(0*g - 4*g + 2*g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 59, 1 in ascending order.\nAnswer: 1, 2, 3, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -1410940, 0 in decreasing order.\nAnswer: 4, 0.5, 0, -1410940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/15165908 and -19\/6606.\nAnswer: 136493172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 175*g - 9948. Calculate o(94).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2574)\/(-1188) + 9\/(-2).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30536 (b) -13\/16 (c) -0.1 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from ypapaaypaaaap.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Let f(q) be the first derivative of -q**3\/3 - 2*q + 382. What is f(s(i))?\nAnswer: -16*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 27. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:42 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - k = 0, 2*k = q - 2*q - 4. Suppose 18 - q = -5*x - 4*r, 4*x + 20 = -r. Is 0 - (x\/(-3) + -21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 2*k)*(-1 + 1 + k) + 4*k**2 - 5*k**2 + 2*k**2 - 201*k**2 + 101*k**2 + 98*k**2 + 152.\nAnswer: -3*k**2 + 152","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13432263, 13432291, 13432319, 13432347, 13432375, 13432403?\nAnswer: 13432431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-5*1*-2*-5 + 4 + 4.\nAnswer: -400*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1361387.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 52*r**2 - 164*r - 167. Is z(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6985 + -6985. What is t in j - 2\/11*t**2 + 6\/11*t = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 163. Let w(u) = 26*u - 17. Determine w(n(d)).\nAnswer: 26*d**2 + 4221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 90*z - 95.\nAnswer: 5*(z - 1)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-2) + (-1773)\/(-18)*2?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-8*z + 12*z + 15*z) - z + z - 2*z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 54*z + 1. What is c(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p**2. Let a(i) be the third derivative of 0*i + 0 - 8*i**2 + 0*i**3 - 1\/24*i**4. Calculate a(j(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.8 - 48. Let j = 33 + -67\/2. Let g = 435 - 438. Which is the biggest value? (a) g (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m - 342 = -2*d, 4*m + 85 = -2*m + 4*d + 1 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-23)*-1*4\/(-16)*34\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(112)\/(sqrt(40)\/sqrt(5))*3)\/(4*(2*sqrt(7)*2 + sqrt(7) + (sqrt(63)\/sqrt(3) + sqrt(21))\/sqrt(3)))*4)**2.\nAnswer: 162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 31*g - 203. Give u(-7).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = -2*g - 3*g, 4*h + 4*g - 60 = 0. What is the smallest common multiple of 52 and h?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 115*i**3 + 508*i**3.\nAnswer: 392*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*c - 1990 = 2858 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15014348, -15014329, -15014310, -15014291, -15014272?\n\"Answer: 19*c - 15014367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -76 - 24. Suppose o*l = -3*d + 462 - 90, 248 = 2*d + 2*l. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 3. Let i be j(2). Let u(y) = y + 7. Let a be u(i). Suppose -c + 79 = 4*p, -a*p - 3*c = -60 - 9. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 10. Let h(w) = 114*w - 773. Let k be h(7). Suppose z + k = -3*t, -3*z + l*t = -2*z + 15. Is -19 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/360 + 133*a**5\/180 + a**4\/72 - 133*a**3\/18 + 1543*a**2. Factor r(i).\nAnswer: -(i - 133)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7. Let s be a(-3). What is the second smallest value in -1\/8, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 45 = 683*v - 680*v, -2*h + 31*v - 82 = 5*v for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2\/331 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 w, and 1 i when four letters picked without replacement from {c: 2, m: 3, i: 5, w: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19316078783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/z**25))\/z))**(-44) assuming z is positive.\nAnswer: z**1012","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212321589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16170\/220*(-10)\/25*20\/14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/109, 689 in descending order.\nAnswer: 689, 3\/4, 2\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 - 3*t**2 + 5*t**2)*(-2*t + 0*t - 2*t) + 3*t**3 - 2*t + 2*t.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/304944 and -53\/6.\nAnswer: 304944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*b + 3*g, 6*g - g + 6 = -6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 18 = -12*b + 6 - 6, 29 = -3*z + 38 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9. Which is smaller: i or -2\/39?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -16\/209, -4, 8.99?\nAnswer: -16\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(4\/(-8)). Suppose 3*k - k - 4*c = 38, -4*c + 57 = 3*k. What is the remainder when (0 + 56)\/d - 3 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3641671 by -191.\nAnswer: 3641671\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -21 - (-9 + -3 + 4)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524, -3695, -12394, -29411, -57536, -99559, -158270?\nAnswer: -236459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 - 37 = 0. Let m be -94*(2 - b\/(-4)). What is the units digit of (-4)\/18 - m\/81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9897 is divided by 656?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -72847 (b) -0.1 (c) -122 (d) -1\/2 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 254\/2585 and -18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -577*l**4 + 145*l**3 - l**2 + l + 345396?\nAnswer: -13848*l + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let w(p) = -25*p - 645. What is w(v(l))?\nAnswer: 25*l - 645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1706*n = -3409*n + 1699*n - 8, -4*y + 16 = -4*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-18))\/((-7)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 520058*t. Let k(w) = -16*w**2. What is k(g(r))?\nAnswer: -4327365173824*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 - -6 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79 - -1053\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 12. Let z(m) = -m - 7. Let s(p) = -17*p**2 + 283*p + 99. Let x be s(17). Let q(a) = -a - 6. Determine h*q(r) + x*z(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 12. Let s be q(8). Let k be (-6)\/24 + (-19)\/s. Let a(f) = -f**2 - 6*f - 1. Let o be a(k). Is 5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*w**2 - 1794*w - 89401\/2.\nAnswer: -(6*w + 299)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 541 = -5*b, 2*b = -0*b + q + 216. Suppose 11 - 1 = 2*v. Let d = v + b. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363))*-1 - 2*(sqrt(363) - (sqrt(363)*4)**2) - (3*(sqrt(363) + -1) + sqrt(363) + (sqrt(363) - (3*(sqrt(363) + 0))**2)).\nAnswer: -88*sqrt(3) + 14887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose -3*d + y = -t*y - 26, 16 = -4*y. Let s = 4 - 0. Solve s = d*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490732 divided by 4.\nAnswer: 122683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 3. Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -3. Suppose -2 - w = -h. Calculate the least common multiple of 28 and h.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*t + 30 = s, -5*t - 20 = 0. What is the units digit of 4 + (54 + s - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 24. Suppose -6*o + 9*o = z. Is 1 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -255 and 0.06.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.69 - 86. Let u = -0.69 + f. Which is the fourth smallest value? (a) -4 (b) u (c) 5 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 583*t**4 + 582*t**4 - 3 - 22*t**3 - 73*t**2 + 3*t + 20*t**3 as u*t + f*t**4 + o*t**3 + j + k*t**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 580*y - 335. Let u(z) = -321*z + 167. Calculate 5*d(r) + 9*u(r).\nAnswer: 11*r - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.44 - 53. Round p to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 538 - 577. Calculate the common denominator of (-2)\/(-9) - p\/(-9) and -63\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -300 - -302. Solve -4*u - 6 = -2*s, f*u + s + 2*s + 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, -36510, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y. Let c(s) = 280*s**2. What is g(c(x))?\nAnswer: 3360*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - -5) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-11 - -24 - 39)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 - 5*w + 10. Let a be k(-7). Let g be 56\/168*(0 - 15). Put 10, a, g in decreasing order.\nAnswer: 10, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 - 3930)*-2 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*i**4 - 3*i**2 - 409*i**3 + 409*i**3 - 4 to the form p*i**3 + w*i + j*i**4 + q*i**2 + k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967104320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5 - b**3 - 2*b + 5*b**2 + 10*b - b**3 - 7*b. Let u(g) = g**3 - g**2 + 1. Let a(z) = -s(z) - 5*u(z). Find the second derivative of a(j) wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 0*l - 3\/2*l**4 - 8\/3*l**3 + 1\/3*l**6 + 4*l**2 - 35 + 4\/5*l**5. Suppose b(y) = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + o = -2532, 3*x + 15*o - 1899 = 19*o. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24957866*d**2 - 15429296*d wrt d?\nAnswer: -49915732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 57 = -6*i - r, 2*i + 4*r = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 32.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(-2*sqrt(588)).\nAnswer: -2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -1\/7*o**3 - 1\/7*o**4 + 0*o - 1\/35*o**5 - 96 + 0*o**2. Let g(v) = 0. Calculate v.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2023524238 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1467952 and 55846?\nAnswer: 10275664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4228?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563255007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-208)\/40 + 4)*(-2 + 12\/(-9)). Solve -3 - w = -d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*d + 4*r - 3*r, -5*r = -5*d + 85. Let q(y) = -47*y - 153. Let v(z) = 18*z + 51. Let w(t) = 4*q(t) + 11*v(t). Is w(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, -2, -0.05 in decreasing order.\nAnswer: -0.05, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 5*o - 6. Let m(i) = 4*i**2 - 10*i - 84. Let k be m(6). Give p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 360186 and 360185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-8 - -3) - (0 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2.4, -89, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.045997 + 0.0481. Round a to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*-3*5)\/(sqrt(10) + (2*sqrt(80))\/sqrt(8) + sqrt(10)*-2*2) + -4.\nAnswer: -4 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57014 or -57015?\nAnswer: -57015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 208784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239 + -238.9803. What is b rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(6 + 38116\/39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6944\/9 + 14029\/18. What is the common denominator of 1\/22 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(4\/6). Let r be 2 + 1 + (i - 0). Suppose r*a = 3*a + 3*j - 30, -a + j + 38 = 0. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4410 and 34445922?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(144))*3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 14.91985?\nAnswer: 16.91985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v. Let o(u) = -2*u**2 + 2061*u - 96. What is d(o(h))?\nAnswer: -10*h**2 + 10305*h - 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*n - 67 + 9. Calculate the remainder when 32 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r + 17*r - 2*r)*(3 - 2 + 0)*(3 - 6 + 2).\nAnswer: -13*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 9, y: 1, c: 1, i: 3, w: 1}. What is prob of picking 1 y and 1 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**27)*q))**(1\/53) assuming q is positive.\nAnswer: q**(27\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418236 divided by 1?\nAnswer: 2418236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:09 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 52*q**7\/105 - q**6\/60 + q**5\/5 + 3145*q**3\/3 + 53*q**2 - 6*q + 1. What is the first derivative of l(i) wrt i?\nAnswer: 416*i**3 - 6*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2096255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 12 = -4*x, 7 = -3*y + 86*x - 85*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from yzzazwzqrryw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -12. Let v = -13 + o. Is (-634)\/(-5) + v\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119.6835 - -0.0835. Let u = c - -128.73. What is u rounded to 1 dp?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(-87 + 87 - 55*i**4) - 2*i**5 + 0*i**5 + 0*i**5.\nAnswer: -57*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 459744*h = 0. Calculate h.\nAnswer: 0, 153248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1165 divided by -4.\nAnswer: -1165\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 9*d + 9. Let z be (-152)\/28 - (-9)\/21. Let y be l(z). Solve -4*h = -3*n + 4, -n - y*h - 1 = -3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-6*(sqrt(272) + 1 + -1)**2 - (0 + (-2 + sqrt(272))*1)**2) + 4.\nAnswer: -7623 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.97 and 0.02.\nAnswer: -0.3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by 45?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 99918737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/2, -10\/11, -1\/3, 2\/17, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 10:25 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24712691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.969805cm?\nAnswer: 59698050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 + 2. Let l be x(-7). Let p(g) = -g**3 - 10*g + l*g**2 + 2 - 9 - 11*g**2 - 6. What is the remainder when 8 is divided by p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7316 + 3296. Let h = 14062 + -7829. Let a = h + j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 118802715*h + 14114085091371225\/2.\nAnswer: (h + 118802715)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660 = 37*g + 189*g - 1504 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1286*z**2 + 130*z wrt z.\nAnswer: -2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-12 - 3 - -7 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 - 8*u + 19. Calculate f(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-5175)*-69*(-1)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149.5 - -167.88. Let i = z + -18.1206. What is i rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6074 or 6059?\nAnswer: 6074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*j - 82 = -d, -49 = 9*d + 5*j - 120 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 5, v: 1, o: 2, q: 8}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:14 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 197, 450, 805, 1262, 1821?\n\"Answer: 51*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148*107.\nAnswer: 15836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 16*r**3 + 206*r - 206*r)*(2 - 2 + 2*r) as p + z*r + d*r**3 + x*r**2 + h*r**4 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -4*h - 5*s, -2*h - 5 = 3*s. Suppose h*y = 4*y + 12. Let b be (-1 + 2)\/(2\/8). What is the highest common factor of b and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.09 (b) 22 (c) 2 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 773 - 187 = 0. Let i be (-12)\/n*10\/4. Let u(k) = -k**2 + 2*k - 1. Let l be u(2). Which is the closest to l? (a) -0.2 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(6)\/sqrt(50))**2 + -1 + sqrt(3) + 2 + -4*sqrt(3)*-2.\nAnswer: 22\/25 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 29180*s - 14206. Let b(v) = -36473*v + 17756. Let u(r) = -11*b(r) - 14*p(r). Differentiate u(g) wrt g.\nAnswer: -7317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 2*g + 2. Let h be -1*((-2)\/(-2) + -1). Let m be (h - 1)\/(1\/(-2)). Is l(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 5*j + 3*j + (-2*j + 3*j - 6*j)*(1 + 6 - 2) to c*j + d and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Suppose 4*m = m + f. Solve -c + 0 = m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from {i: 3, f: 2, g: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 + 2059*n + 1. Let k(t) = 3*t**2. Determine x(k(g)).\nAnswer: -54*g**4 + 6177*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -3*a + 108 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0606963 litres?\nAnswer: 60.6963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(w - 2 + 2) - 2*w + 2*w + w - 1 - w + 1 + 2*w + 4*w + 8*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1680 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/12 + 2)*-6. Calculate the remainder when f\/7 + (-1846)\/(-91) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.97 - 3. Let f = j + -0.17. Which is the closest to -0.1? (a) f (b) 4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b + 3. Let u be s(-6). Let l be (-5)\/2 - (-4 + 1). Is l > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 255*j + 101. Let b = -557 - -577. Is s(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095011848.\nAnswer: 2, 261876481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 367\/((-1)\/(-3) + -4). Let y = -100 - q. Sort -0.1, -4, y in descending order.\nAnswer: y, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6) - -3)*(-3 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*-3*1. Let n be 2*i*(-28)\/8. Let x be 168\/(-126)*51\/(-4). Solve -4*z + m = -n, 4*m - x = -4*z + 3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1492025*h**6 - 789017*h**2 wrt h?\nAnswer: 179043000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 186 = 130. Let a = 66 + 15. Calculate the remainder when a is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:20 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*k**3\/5 + 5301*k**2\/5 + 3543*k\/5 + 591\/5.\nAnswer: -3*(k - 197)*(3*k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2)\/15*-3)*473\/215.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -2123\/12. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) + -2 + -4 - (sqrt(76) + (sqrt(76) - (sqrt(76) + (sqrt(76) - sqrt(76)*-5))) + 0))**2.\nAnswer: -5544 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -698, -3845, -12332, -28829, -56006?\n\"Answer: -445*b**3 - 32*b - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 9*x - 281 + 281.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/72 and -47\/52.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*m**2 + 40*m - 1101 + 619 + 657 = 0. Calculate m.\nAnswer: -7\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -63, 5\/7, 0.16, -3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 923650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -u - 15, -7*u + 3*z = -9*u + 22. Solve -u*j + 12 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 444. Let z(x) = 223. Calculate -2*c(d) - 5*z(d).\nAnswer: -2*d - 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1494, -1492, -1490, -1488?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 5*l**2 - 2 + 0 - 3*l. Let x = 208 + -213. Let p(d) = -d**3 + 5*d**2 + 5*d + 3. Let t(a) = x*i(a) - 3*p(a). Differentiate t(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**3 + 6*a**2 - 27*a + 12. Let y(h) = -h**4 + 8*h**3 + 7*h**2 - 26*h + 12. Let c(z) = 2*n(z) - 3*y(z). Solve c(v) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 8*s - 3. What is the smallest common multiple of (18\/4)\/((-3)\/(-4)) and f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394466 divided by -1\nAnswer: 394466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-11))\/(8\/(112\/(-21)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -7. Let o = c + -34. Is (0 + -2)\/(2\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.5 + -38. Let m = 4901.6 - 4902. What is the closest to 2 in d, 7, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2765\/1410150*(-20)\/(-2)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -34*g - 140. Let v be x(-5). Let k be 4\/(-6) - (-38)\/3. What is the greatest common divisor of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -165*i**3 - 65*i**2. Suppose 55 - 7 = 8*y. Let h(n) = -15*n**3 - 6*n**2. Give y*f(r) - 65*h(r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {n: 2, p: 2, g: 4, u: 1, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -1) + -61 + (15 - 4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 15 = -21. Let j(q) = 4 + d - 3 + 0 - q. Calculate j(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + 4*k + 59. Let x(h) = 9*h**3 + h**2 - 10*h - 117. Calculate 5*t(o) + 2*x(o).\nAnswer: -2*o**3 + 2*o**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-26)\/(-6))\/(44 + 3591\/(-81))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52973793 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2547*s**2 + 15*s - 175. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12260 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 8:53 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(13216\/(-3363))*(-2)\/(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 2*u = -4049, -3*u - 4047 = -3*r. Let v = 2795\/2 - r. Let o = 3373\/1140 - -186\/95. What is the common denominator of o and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 98, 117, 136?\n\"Answer: 19*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -64*k**3 + 2*k**2 - k - 6. Let a(f) = -f**3 + f - 1. Let z(x) = -3*a(x) + y(x). What is the hundreds digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than 41.15?\nAnswer: 32.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/42*(-406)\/696*8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375184105 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4\/5, -2, 6997369, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3198.168 micrometers?\nAnswer: 0.003198168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 5*r**2 + 12*r**2 + (46 + 0 - 4)*(2*r**2 - 3*r**2 + 2*r**2).\nAnswer: 47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 14}. Give prob of picking 3 b and 1 y.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24.0926 * -0.1\nAnswer: -2.40926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - q + 4 = 0, -q - 5 = 4*y - 2*q. Let r(j) = j**2 + 2*j + 1. Give r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 25 (c) 2\/15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4403.78318 to 0 dps.\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 61*x**4 + 112*x**3 - 436*x**2 + 434*x + 12. Let l(p) = -132*p**4 - 225*p**3 + 872*p**2 - 867*p - 26. Let j(b) = 13*a(b) + 6*l(b). Factor j(r).\nAnswer: r*(r - 2)**2*(r + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -146527 from 0.0982098.\nAnswer: 146527.0982098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 924?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2*c*c)\/c)**30 assuming c is positive.\nAnswer: c**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - -14. Let i = -29 + m. Let o be 19 + i - (3 + 0). Solve 2*b - o = -k - k, -4*k = 3*b - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -19. Suppose -j + 90 = a*j. Let n = 61 - 57. Solve -j = -4*v + 3*d, v - 9 = n*d + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 422959866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -4 (c) -2\/15 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6244604 millennia in years?\nAnswer: 624.4604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 1 - 2*r - 2*r**3 + 3*r**3 + 3*r**2 + 3*r**2. Determine p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from {x: 4, h: 8, y: 1}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s. Let k(c) = -5*c**2 + 24*c - 4. Let q(b) = -4*d(b) + k(b). What are the prime factors of q(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from dwwddw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 10, 0, 7, -5, 5.\nAnswer: -5, 0, 5, 7, 10, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -11. Solve -4*k = -v + n, -4*v + 5 = -5*k + 4*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 5*d + 40. Let y be 2\/(-4)*d\/10*-45. Suppose 690 = y*f - 17*f. What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-12)*84\/15. Let s be (-1)\/3 - x\/(-6). Solve -n - 3*n - 4*w - 24 = 0, s*w - 8 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -274, -260, -236, -196, -134, -44?\n\"Answer: s**3 - s**2 + 10*s - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, -0.4, 0.0699, -4\/5, 3\/7, 27\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/((-198)\/(-4)) - 47\/(-9). Suppose -72 = -j*l - 12. Solve 0 = 5*w - 2*w - 3*x, 0 = -3*x - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -41*i + 79. Let f be p(2). Calculate the common denominator of 1 + f - 417\/(-214) and -79\/6.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 138941 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 + 8*p - 5. Let x be w(7). Suppose -x*d - 21 = -5*d. Solve 5 - d = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 + 2*h + 1. Let b be t(-3). Calculate the remainder when 36\/(-6)*(-38)\/b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 76*q**2 - 213*q - 118. Determine k(-35).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*s - 16 = 0, -3*b = -b + 2*s + 8. Put -12, -1, b, 2 in ascending order.\nAnswer: -12, -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*x + 10 - 258*x + 2*x**2 to p + o*x**2 + r*x and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4120 (base 11) to base 9\nAnswer: 7444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(351\/52) + 2. Solve p + y = 2*c, 9 = 5*c - 2*p - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 50523\nAnswer: 2\/16841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 - 3*d + 4. Let a(g) = -11*g**2 + 2*g - 4. Calculate -5*a(y) - 4*x(y).\nAnswer: 15*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9513 + 466160\/49. Calculate the common denominator of w and 27\/35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2643 + -245?\nAnswer: 23a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 41. What is y(25)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*i + 5*m - 1, 4*i - 2*m = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + -1 - (-6 + -8 + (24 - -7))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.016 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3046 + -2961. Solve 10*v + 65 = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -23592*w**3 + 51*w**2 + 40*w - 12. Is 27 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1376 = 3*i + 350, -3*i = s - 1038. Is ((-2)\/5)\/((-3)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1960 = -4*k, 0 = 5*o + k - 11035 + 1235. What is the lowest common multiple of o and 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 1 = 0, 0 = 3*o - 2*j - 52. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/4 - 1\/5. Let l(i) be the third derivative of -1\/2*i**4 + 0*i + 0 + 4*i**2 + d*i**5 + 2*i**3. Determine q, given that l(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413183466 to the power of 1\/3, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 8*a**2 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04287 rounded to three decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.93*0.0148052\nAnswer: 0.043379236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -7. Let k = z - -5. Which is the closest to -0.1? (a) 1 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y = 121*y + 4*z + 32, 0 = -6*y - z - 63 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 88*f - 456. Determine j(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/9, -0.3, -0.2, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7937 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8087*m + 8076*m + 21747. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6216\/437 + -62384703\/4370. Let x = p - -14302. Calculate the common denominator of x and 145\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 173 + 181 - 354 + 23*o**2. Let i(f) = -f**2. Give j(i(p)).\nAnswer: 23*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and 35\/21997613.\nAnswer: 219976130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -3337.\nAnswer: -667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Let h be (-11)\/(-3) - 2\/p. Let f = 0 - -2. Solve f*j + h = 3*b, -b - 3*b + 5 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8911 by -67.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053222 to five decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omcimcmooijjoijcmm. What is prob of sequence immi?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttyqtyqtqsqyyqytqt. What is prob of sequence qtys?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 - 18 = 0. Let d(m) = 7*m**3 + 3*m**2 - 6*m + 4. Let o be d(3). Let p = -200 + o. Solve k = q*k + p*j - 3, -3*k = 5*j + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9585, 9602, 9619?\nAnswer: 9636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25520 * -0.05.\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 53 + 77 = 5*q, -58 = -2*h - 5*q. Let f = -1831 + 1867. What is the greatest common factor of h and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17393 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17512799?\nAnswer: 31, 79, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 36 = 16. Suppose 4*d - t*u - 712 = -0*u, -4*d + 2*u + 718 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46235.\nAnswer: 5, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -19 - (15 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t. Let j(w) = 61329*w**2 + 17. Determine j(z(u)).\nAnswer: 13799025*u**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340720 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/612018 and 71\/778932.\nAnswer: 8568252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 4. Suppose -6*b = -2*b - 80. Suppose -5*a - b = -0*a. Let u be z(a). Is -1\/11 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3687 divide 7691654933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5575159 - -17052.8.\nAnswer: 5592211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (8 - 15)) + -1 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let i be 1*(60 - -1 - 2). Let l(g) = -i*g + 30*g - 6*g**2 + 29*g. Give l(m(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3*z - 1. Let v be u(2). Let a(s) be the first derivative of 33*s**2\/2 - s - 42. Is a(v) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*s**3 + 70*s + 487*s**3 - 70*s.\nAnswer: 793*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w - 3*m - 6, -4*m - 3 = 5*w. Is w\/((-6)\/20) - -3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 3:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77696 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6283603*o**2 - 6283603*o**2 - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, z: 3, b: 3, p: 2}. Give prob of sequence fza.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 321900*a + 5180980500.\nAnswer: 5*(a - 32190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*w + 6*y + 2, 0 = -5*w + 2*y - 19. Let b(g) = 2*g - 5*g + g. Let t be b(w). Solve t = -5*d + 5*r - 14, -8 = 2*d - 5*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/60*s**5 - 1\/24*s**4 - 1\/6*s**3 + 0*s - 1\/360*s**6 - 2*s**2 + 0. Let o(r) be the first derivative of j(r). Factor o(m).\nAnswer: -(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13\/481245 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22710 and 81\/14.\nAnswer: 158970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - -11) + -24 - 9) + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6904564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 243695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-12)\/28 + (-22)\/(-35)). Suppose -3*i + 7 = s. Suppose 5*y = i*r + 2*y - 3, 0 = 3*r + 2*y - 37. Solve -5*g + 29 - r = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 80*r - 451. Let o be m(-9). Calculate the greatest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)\/(r**21\/r) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-12 - 0). Let j(k) = k**3 + 3*k**2 - k. Let q be j(-3). Suppose -t + q*t - 8 = 0. Solve 4*n = -p + 6, p - w*p = -t*n - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 0, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*2 - sqrt(77))*-1)\/(sqrt(343) + sqrt(343) + -1*sqrt(343)).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208278 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0222602 + -0.4791?\nAnswer: -0.5013602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*c + 6*c**3 + 17*c**3 + 13*c**3 + 3*c - 5*c**3 to the form b*c + z*c**2 + l + s*c**3 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-5))\/(11\/(-220)). Let a be (-382)\/h - (-2)\/8. Factor -a*i**2 - 40\/9*i - 8\/9.\nAnswer: -2*(5*i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -3*h**3 - 1 - 12*h - 9*h**2 - 3\/8*h**4. What is o in d(o) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -988*s**2 - 4*s - 2. Let b be c(-2). Let v = b + 39557\/10. What is the common denominator of v and -49\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -3*x - 52. Suppose -2 = m - x, 3*y - m - 1009 = 0. Let v = 655 - y. Is v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018 + 3.018. Let y = -64 + 133. Let i be (5\/(-9))\/((-23)\/y). What is the second biggest value in u, i, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = u - 7*a - 8, 0 = -u - a. Suppose -g - u*v + 56 = -11, 0 = 2*v - 4. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7599?\nAnswer: 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = -3*v - 4*v. Let m = v - -164. Solve -3 = -5*h + g - 4*g, -5*g = -3*h + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (697*z**3 + 946*z**3 + 274*z**3)*(0*z - 2*z + z)*(-6 + 3 + 1) to the form u + b*z**4 + l*z**3 + r*z**2 + q*z and give b.\nAnswer: 3834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 3*p**2 + 3*p**2 - 3*p**2 - 14.\nAnswer: -3*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -182. Suppose -2*v - 5*h = -6*v + 25, 0 = a*v + 5*h - 35. Solve v*k - 9*k = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let n(y) = 20*y. Let c(z) = -z**2 + 3*z + 3. Let g be c(4). Let m(l) = l. Let p(h) = g*n(h) + 24*m(h). Determine j(p(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1270089.\nAnswer: 127008.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 180 in decreasing order.\nAnswer: 180, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3334 = -9*s + 18688. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10278, -41051, -92326, -164097, -256358, -369103?\nAnswer: -502326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*h - 562*h + 565*h)*(0*h**3 + 1 + 14*h**3 + 0) + h**2 + 2*h**4 - h**2.\nAnswer: 5770*h**4 + 412*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 7 + 8 + 1. Let z be o(1). Let d = -7 + z. Let q(f) = -f - 5. Calculate q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 2. Let b(o) = -125*o**2 + 10*o - 267. Let i(x) = b(x) - 5*s(x). Differentiate i(c) with respect to c.\nAnswer: -250*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 5, -2, 82 in ascending order.\nAnswer: -11, -5, -2, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/65 - -3\/13. What is the closest to q in 0.2, 2\/7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 11*a**2 - 8*a + 14. Let o be y(11). Let h = 119 + o. What is the greatest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 612, -4, 57, 22, 5, -1.\nAnswer: -4, -1, 5, 22, 57, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -37)\/((2*-1)\/(-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1267\/204 + -12\/17. Let p = -997\/60 - d. What is the common denominator of 63\/8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000310544 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -320 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s + 7. Let j be v(0). Let a(q) = 2*q - 4. Let o be a(j). Calculate the highest common divisor of o and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/(-72))\/(15\/27).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -66*i**3 + 27. Let l be 213\/(-4) - 21*13\/364. Let k(f) = 5*f**3 - 2. What is l*k(b) - 4*d(b)?\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6*m. Suppose -d - 2 = m, 8 = -w - 0*w - 5*d. Is (1*12 - 0)\/w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0*q**(1\/7)\/q*q)\/(q*q*(((q\/q**(-2))\/q)\/q)\/q*q*(q*q\/q**12)\/q) assuming q is positive.\nAnswer: q**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -121, -365, -759, -1291, -1949?\n\"Answer: 2*l**3 - 87*l**2 + 3*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 73.87497 decades?\nAnswer: 0.7387497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9212732652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 7. Let j be o(-8). Let r = 22 + j. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 6*w**2 - 5*w - 5. Let y(k) = -2*k**3 - 7*k**2 + 6*k + 6. Let g be -1*(7 - 3\/3). Calculate g*v(u) - 5*y(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -80. Suppose 0 = 2*i - s*i. Suppose -2*b + 35 = 5*w, i = -3*b - b. Which is smaller: w or 33\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7487.\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 69*k - 84. Let q be t(16). Which is the nearest to 2? (a) -860 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 24. Suppose 3*n + 4 = o*n. Let z = 0 + n. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**15\/(w*w**2)**(-4\/11)*(w\/(w*w*w*w\/w**4))\/w**(-4\/5)*(w**(-1\/3))**(-25\/2) assuming w is positive.\nAnswer: w**(2402\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibbol. Give prob of sequence libb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537945?\nAnswer: 3, 5, 35863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000 + -1001011010011101110011?\nAnswer: -1001011010100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00490019104 to six decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**3 - 67*a**2 - 43*a + 184. Does 34 divide y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104) + sqrt(104))*3 - (sqrt(104) + -6*sqrt(104)*2))\/(sqrt(968)*-1*-1*4).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2921*-3.\nAnswer: -8763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(475) + -4 + -1 + sqrt(475) + 0 + 5)**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-775)\/125)\/(-5*6\/150).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38.8 and 0.031067059.\nAnswer: -38.768932941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10977, -11262, -11745, -12432, -13329, -14442, -15777, -17340?\n\"Answer: -k**3 - 93*k**2 + k - 10884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28119 is divided by 971.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose o + 2*k - 14 = 0, 0 = 2*o + v*o + 3*k - 98. What is the tens digit of (-39)\/2*o\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100256.\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 5*o - 60, 20 = -4*o. Let r = 12 - b. Let x(a) = a**3 + 8*a**2 + 6*a - 3. Let t be x(r). Calculate the highest common factor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/5)\/(15\/200). Suppose 4*k - n = 2*u, -3*u - 5*k = -u - 11. Is u\/(-36)*4 + (-90532)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*q + 133*q = -53118. List the prime factors of q.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/80 and -31\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261121*n**3*o**2 - 3*n**3*o*s**3 - 4*n**3*o*s**2 + n**3*o*s - 19*n**2*o**2*s**3 - 324*o*s**2 + 1176*s**3 wrt o?\nAnswer: -522242*n**3 - 38*n**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 968*c**2\/3 - 971*c.\nAnswer: c*(c - 3)*(c + 971)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 119. Let h = 1041 - 582. Suppose m*s - 1789 = -h. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.3 - -10.3. Put -6, 2\/5, u, -3 in decreasing order.\nAnswer: u, 2\/5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r + 10*r + 15*r to v*r + b and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 + 27242113?\nAnswer: 27242113.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -19 + 1 + 18*y - 9*y + 1 - 7*y. Determine x(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 34 = -4*x - 4*w, -3*x + 23 = -2*w. What is the least common multiple of x and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -18, -2, 1\/7, -1.36?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12459 (b) 7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 7. Let z be 2\/7 + t\/(-14). Suppose -a + z + 4 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*u + 16*u**2 - 42*u - 27*u + 13*u**2 - 23*u.\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954402444 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -597*p + 601*p - 4, 4*p = r + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 9, -5, 1, 4 in descending order.\nAnswer: 9, 4, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2271 - -5552. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125.4885 + 34.\nAnswer: 159.4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 18. Let i be b(7). Is 161 - (-1)\/(i*4\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-124*g + 27*g + 20*g)*(0*g + 0*g - 4*g) to p*g**2 + i + h*g and give p.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) - (1 - 7). What is the third derivative of -3*b**2 + 8*b**4 + q*b**2 - 2*b**4 wrt b?\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132230 (base 5) to base 15.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397128.\nAnswer: 2, 17, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.3, 31\/308, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 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: Let o(h) = -h**2 - 7*h + 2. Let g be o(-7). Suppose -g*p = -4 - 0. Let z = 197\/12 - 63\/4. Is p greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - -60. Let p = g + -110. What is the highest common factor of 54 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g + 4*g)*(0 - 1 + 2) + (9*g - 5*g + g)*(-1 - 2 + 5).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from {n: 11, w: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -454.6 + 454. Which is the nearest to j? (a) -6 (b) 3 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 13) to base 14\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 12*r + 3049. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*l + 59, 43 = -4*q - 4*l - 29. Let c = q + 25. Find the third derivative of -11*n**2 - 3*n**3 - c*n**3 - 9*n**3 wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0, -4762\/5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - r - 510501 = 310499, 2*r = -5*m - 4105000. What is m rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -99\/2. Let u(g) = g**3 + g**2 - 3*g. Let m be u(-3). Let i = m + n. Which is the smallest value? (a) 1 (b) i (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 4, -86, -654 in descending order.\nAnswer: 4, 3, 1, 0, -86, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1771150108 and 34.\nAnswer: -1771150074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - r**2 - 107263*r - 3*r**2 + 107263*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/4)\/(v**(-34)*v)*v*v**(3\/28)\/v*v**37\/v assuming v is positive.\nAnswer: v**(475\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 192*d**2 - 396*d - 200.\nAnswer: 4*(d - 50)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13222811 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74310 is divided by 1239.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 452374457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + g + 2*g - 4 = 0, 3*d + 3*g = 0. Let c(o) = -9*o**3 - o**2. Calculate c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282 (base 12) to base 14.\nAnswer: -1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21)*-3)\/(49\/((-196)\/(-48)))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -350, -693, -1012, -1295, -1530, -1705, -1808?\n\"Answer: 2*w**3 - 357*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**3 - 1. Let f be g(1). Calculate the remainder when (-24)\/(-1) + f\/(-9) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60785353 is divided by 20261779.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(1872)*-2 - (3 + 0 + sqrt(1872)))**2 + -1.\nAnswer: 504*sqrt(13) + 91732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*d + 11, q - 3 = 3*d + 11. Let u be -4 + -1 + (-2)\/q. What is the units digit of -1 + -1 + u + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -21*n**2 - 2*n + 4. Suppose 12*o = 9*o - 5*j - 4, 0 = 3*o - 4*j - 14. Let g be p(o). Is -85 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9615 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1630881\/4904 - -39\/613. Let a = v + -34643\/104. Calculate the common denominator of a and -91\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1868.722 + -1867. Let b = -1.75 + -0.05. Let z = b + n. Round z to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**21\/f)\/f*f*f))**28 assuming f is positive.\nAnswer: f**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/12 + o**3\/2 + o**2 + 8*o. Let z be v(-3). Suppose 0 = -6*m + 3*m + z*d + 26, 11 = 2*m + 5*d. Solve -m = f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1899*u + 1933*u + 1911*u - 5737*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 16) to base 13\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 22491 - 22491 - 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*u = -7*g - 12, 5*g + 4*u + 21 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6511, 6520, 6525, 6526, 6523, 6516?\nAnswer: 6505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (-9910)\/2580*2. Let m = g + -15\/43. Factor 0 + 1\/3*q**5 - 1\/3*q**3 + 0*q + m*q**4 - 1\/3*q**2.\nAnswer: q**2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15000 greater than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13638*o + 146978 - 425549 - 826107 for o.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0421 and 7?\nAnswer: 6.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 - 1 + 4*x - 3*x. Suppose -9 = 2*d - 5*d. Let o be i(d). Solve -3*r + 0*r - 3 = o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64124 and 736?\nAnswer: 512992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 10243052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5918965.\nAnswer: 5, 13, 41, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -2698, -0.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614 (base 11) to base 8.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uddn when four letters picked without replacement from tttqtddqqudnt.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 5*a + 3. Let k(z) = z**2 + 2*z + 2. Let o(y) = 2*f(y) - 5*k(y). Let r be o(3). Sort 4, -3, r in descending order.\nAnswer: r, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/96)\/((-3)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 14*w**2 - 11*w - 16. Let h be u(13). Solve h*o - 13*o + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrtoqrqiotit. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*(-5)\/(-10). Suppose s = 5*i - 20, i - 5*s + k*s = 28. Suppose 0 + c + 1\/4*c**i + c**2 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 725, 2907, 6543, 11633, 18177, 26175, 35627?\n\"Answer: 727*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166933881893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1005 and 60771546.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143730 + -12571?\nAnswer: 131137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/9, -9807, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -1\/4*k**5 + 25\/6*k**4 + 0*k**2 + 0 + 0*k**3 + 45*k. Factor m(d).\nAnswer: -5*d**2*(d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16526577 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 33 - 183. Calculate the lowest common multiple of 2\/9 + ((-64)\/p - 0) and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 12.1, -0.36, 2\/13, 3\/4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 7*o**5\/2 + 15013*o**4\/2 - 170477*o**3\/2 - 329909*o**2\/2 - 44185*o + 28028 = 0?\nAnswer: -2156, -1, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115391 is divided by 1778?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 299929204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36910.\nAnswer: 2, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 29 = -5*x - 3, -16 = 2*z - x. Let w(b) = b**2 - 4*b + 5. Let p be w(4). Sort z, p, -3 in ascending order.\nAnswer: z, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:00 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172748 and 31822.\nAnswer: 1209236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -456.2 - -36.2. Sort c, 0, -2\/5 in increasing order.\nAnswer: c, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14392, 14394, 14396, 14398, 14400, 14402?\n\"Answer: 2*k + 14390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 6 - k - 3*k - 4*k**2. Let s be m(-6). Is s\/(-14) - 16\/(-56) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26850*x + 26848*x + 3*g = -1, -4*x = g - 37 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.029\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 794 + 213. Let y be 1\/(-2) - (-26)\/4. Suppose 0 = y*p - 7*p + t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 553*x**2 + x. Let g be t(1). Suppose -7 = 5*r + 13, -2*m = r - g. Let f be 2\/(-11) + m\/(-99). What is the smallest value in 5, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15763419*x**3 - 681*x**2 + 13*x + 9.\nAnswer: 94580514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11)\/((-4)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*y = -2*l - 8, -5*y = 20. Let h = -75 - -77. Factor l*q**3 + 10 - 9 - 3*q**h - 2*q**3.\nAnswer: -(q + 1)**2*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 0. Let v(i) = 17*i**2 + 1. Let l be v(2). Let j = l + -46. Calculate the remainder when j is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s*x**4 + 2*s*x**3 + 22139012*s*x**2 - 82*x**4 - 259*x**3 wrt x?\nAnswer: -24*s*x + 12*s - 1968*x - 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u - 45. Give m(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 + 3*t**2 - 4*t - 4. Let s(v) = -5*v**3 - 3*v**2 + 5*v + 5. Calculate -4*m(w) - 3*s(w).\nAnswer: -w**3 - 3*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (432\/(-32))\/(-27)*(-1)\/(-3)*-2. Sort -0.2, -5\/2, -0.1, l, 4.\nAnswer: -5\/2, l, -0.2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(200))\/(sqrt(7) - (sqrt(28)\/(sqrt(12)\/sqrt(3)) - sqrt(7))).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v, -4*v = 2*i + v - 21. What is the hundreds digit of (-3636)\/(-32) - (-3)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(6\/(-27))*1848\/12936?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2 - 14 - 61\/3*h + 1\/3*h**3.\nAnswer: (h - 21)*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314286101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 9*y - 437. Give l(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(150)\/sqrt(3))*-5)\/(-1*sqrt(490)) + (((-2*sqrt(165))\/sqrt(3))\/((sqrt(11) + (sqrt(176) - sqrt(11)))*2))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 6*m + 4. Let o be r(-5). Let q = -5 + o. Let s(d) = -6*d**3 - d - 4. Let a(x) = -x**3 - 1. Calculate q*a(y) - s(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 30 - 31*z**2 - 80 + 29*z**2 - 7*z to the form d*z**2 + o + s*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 31*q**2 + 8*q + 270. Let r be g(-31). Let f(w) = 15*w**2 - 11*w + 11. Let a(p) = 3*p**2 - 15 + 7 + 10 - 2*p. Calculate r*a(u) - 4*f(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14739392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38550 and 2.\nAnswer: 77100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -279 + 282. Sort -1\/5, l, 1\/10, 0.4.\nAnswer: -1\/5, 1\/10, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 29, 38, 51?\n\"Answer: 2*j**2 - j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 52*t + 330. Is a(30) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-4 - 104)\/(-4). Let l = c - -28. Let i be -1*1 - l\/(-2). Solve -2*z + z = i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1171\/6 or -0.2?\nAnswer: 1171\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - j**3 - j**3 - 4*j**3 + 0*j**3 + 5*j**3 + (j**2 + 0*j**2 - 3*j**2)*(-2*j + 6*j - 3*j) - j**2 + j**2 + 2*j**3 - 2*j**2.\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7972.40008 to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25009 is divided by 3568?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 4. Suppose -5*d + 2355 = 5*y, -7*d + 5*y - 1415 = -10*d. Calculate the common denominator of -61\/3 and d\/150 - (-2 + m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (855\/1026)\/(1\/366)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -82*b + 12. Let c(x) = -2. Let a(f) = -6*c(f) - m(f). Let o(z) = -3*z**2. What is a(o(g))?\nAnswer: -246*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 277 + 323. Is ((-2260)\/(-6))\/(16\/v*5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-1)\/106). Let w(s) = 6*s**2 + s**2 - x*s + 47*s + 5. Let g(f) = -8*f**2 + 5*f - 6. Let l(c) = 6*g(c) + 5*w(c). Differentiate l(n) wrt n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 90*x - 1478. Give v(16).\nAnswer: -2342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 12 = -4*a, -3*t - 5 = 4*a - 1. Find the common denominator of 49\/t*2\/11 and 139\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 11702929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634337691, -634337692, -634337693, -634337694, -634337695, -634337696?\nAnswer: -634337697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 467190*w**2 - 467190*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 45*r**3 - 11*r**2 + 29*r - 160. What are the prime factors of i(5)?\nAnswer: 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -w + 9, -w + y = -3. Suppose 11 = 3*z - 1. Sort z, -4, w in ascending order.\nAnswer: -4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 - 2*f**3\/3 - 3*f**2\/2 - 4*f - 5. Let u be a(-3). What is the highest common divisor of u and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1337912 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*j + 189 = -539*j + 1060*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44347204, -88694406, -133041608, -177388810?\nAnswer: -221736012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 4*d**2 - 12*d**3 - 2*d**2 + 49*d**3.\nAnswer: 37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-3420))\/(1\/3)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -7.4566778315?\nAnswer: 76.5433221685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23050 less than 1?\nAnswer: 23051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 22*a**2 - 2*a + 46. What is g(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 8*i**2 - 13*i - 15. Let n be r(12). Suppose 4*d = -5*d - n. Let w = 49 + d. What is the remainder when 13 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336663709*t**3 - 84240796*t wrt t.\nAnswer: 2019982254*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 9*w - 3*q = 26, 2*w + 5*q + 34 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 57117 divided by 22\nAnswer: 57117\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/670480 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-21))\/5*-39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 6 - 6 + (3*t + 9 - 9)*(0*t + 4*t - 2*t) + (-5*t + 3*t + 3*t)*(-t + 0*t + 2*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -26*w + 27*w. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**2 + z - 110 + 56 + 54 + 9*z**2.\nAnswer: -30*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f - 4. Let y = 49.3 + -45.3. What is the nearest to 1 in f, -2\/5, y, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 726 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 17 + -49 + 9 + -2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56030 is divided by 11201?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = -2*m + 3*m, 0 = -m + 3*o - 9. Let r = -6 + 1. Suppose 0 = -71*z + 81 + 55 + 6. Sort m, 1, r, z in decreasing order.\nAnswer: z, 1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21409532 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14 = -4*t, -4*t + 5 = -3*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1020*o - 13200 - 3\/4*o**3 - 3*o**2.\nAnswer: -3*(o - 20)**2*(o + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -3, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2293 - -2305. Let x(h) = h**2 - 15*h + 13. Give x(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 13. Let x(y) = 7 - 270*y - a + 267*y. Let w(p) be the third derivative of -p**4\/3 + 11*p**3\/6 + 78*p**2. Calculate 4*w(z) - 11*x(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 29*l**2 + 882 - 105 + 16*l**2 - 63*l**2.\nAnswer: -2*l**3 - 76*l**2 + 777","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:56 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 9. Let p be n(4). Solve 1 - 11 = p*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 285, 569, 851, 1131, 1409, 1685, 1959?\n\"Answer: -z**2 + 287*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 7. Let c(v) = -v**2 - 6*v - 8. Let j be c(-6). Let z be (j\/24)\/(2\/30). Determine q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 47. Let o be u(4). Let r(n) = -2*n**3 - 14*n**2 - 11*n + 3. What are the prime factors of r(o)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656 minus 18?\nAnswer: -2674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10\/6*(-54)\/(-45) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -57. Let c(t) = t**2 + 27*t - 214. Is 15 a factor of c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q - 221. Give k(13).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 47. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7)*3 + 2)) + (sqrt(448) - (sqrt(448) - (sqrt(448) + -1))) + (-1 + sqrt(112) - (sqrt(525)\/sqrt(3))**2).\nAnswer: -179 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (7\/(-2) - -18)*16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 5. Let h be r(12). Is 29 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = o + 5*n, -o + 0*n + n - 3 = 0. Calculate the common denominator of 5 - (o - -8) - (-60)\/(-16) and -7\/59.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 5*j + 6. Let d be v(6). Let h(g) = 17*g - 1. Let w be h(1). Let r = d + w. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285827203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:08 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**3 + 39*z**2 + 3*z - 12. Give l(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 606951672?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.216 + -0.016. Let p = -20.7 - -19. Let k = p + c. What is k rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*d = 1, -4*d - 2 = 2. Let h = j + -5. Let n(c) = c**3 - c**2 + 1. Calculate n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4. Suppose -4*n + 14 = -22. Let v(d) = d**2 - 9. Give n*a(o) + 4*v(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 24*k + 69. Calculate i(-21).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130615457 to the power of 1\/2, to the nearest integer?\nAnswer: 11429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*j - 1 = 6*l, 3 = 3*j. Let q(d) be the first derivative of 0*d + 0*d**3 + 0*d**2 + 0*d**4 - 1\/3*d**6 + l + 2\/5*d**5. Factor q(r).\nAnswer: -2*r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -151566, -151542, -151508, -151470, -151434, -151406?\n\"Answer: -x**3 + 11*x**2 - 2*x - 151574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -867 - -866.9. Is b greater than 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -11. Let g(k) = -2*k**3 + 19*k**2 - 10*k + 12. Let f be g(9). Let o be -2 + v\/(-3) + (-62998)\/f. Round o to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 9 = 2*l - 15, -4172*o + 4175*o - 49 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(418)\/sqrt(176)*6)\/((sqrt(22)*2)\/sqrt(11) + sqrt(2) - 1*sqrt(32)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(99) - sqrt(99)*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -483*b. Let g(r) = 54*r + 61. Give g(y(f)).\nAnswer: -26082*f + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002102 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(1216))**2 + -5 + (sqrt(1539) - (sqrt(1539) + -1)) + sqrt(19) + 3 + sqrt(304).\nAnswer: 5*sqrt(19) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/z*z\/(z**(-3\/20)*z)*z*z**(2\/19)*z\/(z**(-4\/11)*z*z) assuming z is positive.\nAnswer: z**(-1593\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 + -578\/3. What is the second smallest value in 4, u, -1, 18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 22*b - 17. Let c be n(21). Let x be ((-1398)\/c)\/(115\/20 + -5). Let d = x + 663. What are the prime factors of d?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 22 = -2*o, -119*x = -5*o - 122*x + 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(176) - sqrt(176) - sqrt(176)) + sqrt(176) + 5*(sqrt(176) + -3) - -2*-3*-6*(sqrt(176) + -4))**2.\nAnswer: -53136*sqrt(11) + 322100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 41*n + 38*n = 0, -17 = -3*o - 4*n. Let w(j) be the first derivative of -6 + 0*j + 2\/5*j**2 + 2\/15*j**o. What is v in w(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g - 4*g = -0*g + 217210. List the prime factors of g.\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/30)\/(18\/135) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 15. Let m(f) = 2*f**3 - f**2 + 2*f + 2. Let q(z) = z**2 + z + 1. What is j*m(k) + 2*q(k)?\nAnswer: -2*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = 5*s - 200, -2*l = -2*s + 84. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.20003 + 1.2. Let n = a - 0. Round n to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:26 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 4*r**3\/3 + 8*r**2 - 3. Factor h(s).\nAnswer: 4*s*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -207 + 2 - (0 - -1). Let k = 209 + u. Solve -g - 2 + 4 = m, -m - 18 = -k*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482 at most as big as -1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - c. Suppose -5*m + 0*v - 2*v + 3 = 0, -5*m = 5*v - 15. Determine i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.4 (b) 1\/2 (c) 6\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1885991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m + 5*a, 6*a - 23 = 2*m + a. Let b(w) = -7*w - 7. Let k(n) = 19*n + 20. Let c(q) = -8*b(q) - 3*k(q). What is c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(539) + -1*sqrt(539) + 0 + 2 + -3 + sqrt(539) + -1*(-2*-2*sqrt(539) - (sqrt(539) + 1)*-2))**2.\nAnswer: 210*sqrt(11) + 13485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 625.00811.\nAnswer: 187.502433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874 is divided by 315.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(2\/16). Let u = -860.3 + 860. Which is the biggest value? (a) -5 (b) u (c) -1\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 3*u - u - 12*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222012 + 120?\nAnswer: 22222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 17. Let z be g(5). Suppose -8*h = -62 - z. Let b(q) = -q**3 + 10*q**2 + 5*q - 19. What is the units digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z + 90. What is the least common multiple of u(0) and 33?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/35)\/p*p\/(p*p*p**15) assuming p is positive.\nAnswer: p**(-593\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 10, -2, -16, -5, 156 in ascending order.\nAnswer: -16, -5, -2, 1, 9, 10, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2064600, 4129169, 6193738, 8258307?\nAnswer: 10322876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 3, k: 1, f: 4, q: 3, n: 3}. What is prob of picking 1 n, 1 k, and 1 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 78. Let g = -0.1045006924 + 60.1044999124. Let k = g - t. What is k rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060 divided by 1160.\nAnswer: 53\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6920 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152392 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 25*y**9\/3024 + y**5\/12 + 4*y**3 - 13. Let r(v) be the third derivative of q(v). What is the second derivative of r(c) wrt c?\nAnswer: 500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 6192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -1. Let l = -444 - -444. Which is the nearest to -1? (a) l (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + 63?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15729 - -15738. Let l(s) = -s. Calculate the least common multiple of a and l(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/72 - c**5\/4 + 5*c**4\/12 + 140*c**3\/9 + 447*c**2. Suppose y(p) = 0. Calculate p.\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 4. What is l(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 266, 622, 1116, 1748, 2518, 3426?\nAnswer: 4472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -349277.\nAnswer: -349276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -5*w + 348. Let z = w - 713\/5. Suppose 2*t + 14 = 4*k, k = -t - 3*k + 11. Which is the second biggest value? (a) t (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7136715 by -3.\nAnswer: -2378905","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65396 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 897186 - 1095?\nAnswer: 896091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17)\/r**(4\/3))**(-4\/3)\/((r**(-1)*r**(-1\/2)*r)\/(r\/(r\/(r\/(r\/((r**(3\/5)\/r)\/r))))*r*r**(2\/9))) assuming r is positive.\nAnswer: r**(991\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12463 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6496 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16\/3148265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -345295, -690608, -1035921, -1381234?\n\"Answer: -345313*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.2. Let z = w + -1.1. Let d(r) = r + 6. Let b be d(-7). Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 - -5. Suppose -5*o - 28 = -4*k, 5*k - o = -0*k + 14. Suppose 4*x - 3 = r + 2*x, -2*x = -4*r. Which is the third biggest value? (a) k (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-5) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 209 = 421. Calculate the lowest common multiple of 25 and i.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-8) - ((-5)\/2 - -1). Solve -15 = -s*h + 4*u + 9, 4*u = -4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = -2*d, -4*d = -3*j + 3 - 11. Let o(a) = a**3 + 2*a**2 + 3*a**2 + 349 - 352 - 3*a. Let r be o(j). Solve r = -4*w + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5472)\/(-23256)*(-34)\/(-22)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/((-18)\/405*-18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102201 (base 3) to base 9\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3221 (base 5) to base 6\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/270 and -11\/4190?\nAnswer: 113130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (712\/(-534))\/(1\/(-54)*-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Suppose -1280001 = k - q, -5*k = p*q + 6117514 + 282483. Round k to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347133.\nAnswer: 47, 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {c: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008353 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/15)*f)\/f*f)\/(f\/(f**5*f)*f)*(f**2)**12 assuming f is positive.\nAnswer: f**(437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/(2\/(-9)). Let u be (6\/(-9))\/((-2)\/w). Let n = u - -4. Solve q + 2 = n*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 108 = -8*d + 4*d, -2*d - 2*i = -36. Suppose d*g - 230 = -2*v + 26*g, -g - 3 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.6 and -154 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34233749 and 40931?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32952*s**4 + 12*s**3 + 21*s**2 - 452*s + 79696 wrt s.\nAnswer: -395424*s**2 + 72*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -7*i**3\/6 + 129*i**2\/2 - 46*i. Differentiate f(c) wrt c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:17 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 37*z**4 + 20*z**4 + 2*z**3 + 14*z**4 in the form b*z + o*z**4 + p*z**3 + x*z**2 + v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 + 4*b - 4. Let t(k) = k**3 + k**2 + k - 1. Calculate -n(r) + 4*t(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 204501981, 204501982, 204501983, 204501984?\n\"Answer: d + 204501980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81ac6 + 3?\nAnswer: -81ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758, -1512, -2266, -3020, -3774?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*t + 40, -3*x - 1 - 9 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b\/b**(-13\/2)*b))*b**(-2\/17)*(b*b**(1\/3)\/b)**16 assuming b is positive.\nAnswer: b**(1501\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 5, -18, -12, 4 in descending order.\nAnswer: 14, 5, 4, 3, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15\/p)**27\/((p*p**(4\/9))\/p**(27\/4)))**39 assuming p is positive.\nAnswer: p**(179387\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -653132 or -653043?\nAnswer: -653043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 36*k**2 - 2*k + 69. Determine n(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 11*q + c = 2*q + 2, -3*c = -6*q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1 - 2)*61. Suppose 207 = 7*o - 332. Let k = o + g. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 24. What is the units digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c + 50*c = 71*c - 195*c - 41052 for c.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 4 - 4 + 2*m**2 + m**2 + 3*m. Let l be u(-2). Suppose -l - 10 = -4*y. Solve 3*k + 4*x = y*k - 2, 5*k + 19 = -3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 33730.\nAnswer: -17\/16865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2. Let z(q) = -5*q - 107. Give z(o(j)).\nAnswer: -5*j**2 - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + (-179 - (12 - 132))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-3 - 2*sqrt(77)*-2)\/(((2*sqrt(84))\/sqrt(12) - sqrt(7)) + 1*sqrt(700)).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -14. Solve -4*f + 4*c - 2*c = 26, -2*f - c = t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 + 27 + -192 + (2\/(-1) - -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*v - 4*k, 2*v - 5*k - 21 + 4 = 0. Suppose v*n = 7*n + 810. Let l = 96 - n. Is -2 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w + 2*y, 4*w + 3*y = y + 28. Suppose 3*t + 0*t = -3*n - 3, -w*n = 20. Let m be (-4)\/((-12)\/9) + 1. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.06754 decades to years.\nAnswer: 570.6754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53377059 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*r = -184*r - 60. Let n(q) be the third derivative of -q**4\/8 + 7*q**3\/2 - 2*q**2. What is the tens digit of n(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = -3*s, -4*s = -3*g - g - 8. What is the remainder when 10 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 1. Calculate j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(19) + sqrt(171))**2) + sqrt(76)\/(1*sqrt(4)*-1 - sqrt(4) - sqrt(4)).\nAnswer: -sqrt(19)\/3 + 1530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 79093*y**4 + 110 - 79091*y**4 - 5*y**3 + y**3 to the form d + g*y + b*y**4 + z*y**3 + v*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 2. Suppose -55 = -9*l + 4*l. Suppose -5*k + 5*q + 750 = 60, 0 = 3*k + 4*q - 421. What is the remainder when k is divided by d(l)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-3)\/9*-3. Let r = -23 + 23.38. Let t = -0.02 - r. Sort t, k, -5 in ascending order.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*d**5\/3 - 170*d**4\/3 - 212*d**3\/3 - 116*d**2\/3 - 26*d\/3 - 2\/3 = 0. Calculate d.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-2*sqrt(12)\/sqrt(6)) - (sqrt(17) + sqrt(272) + (sqrt(272)*-2 - sqrt(272)))*2.\nAnswer: 27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038269855 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 247*v + 1013. Let a be z(-4). Calculate the highest common factor of 430 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 13*s**7\/30 - s**4\/3 - s**3\/6 - 37*s**2 + s. Find the second derivative of u(j) wrt j.\nAnswer: 1092*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -153, -273, -523, -951, -1605, -2533, -3783?\nAnswer: -5403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -510*v**2 + 281*v**2 - 778 - v**4 - 31*v + 229*v**2 wrt v?\nAnswer: -4*v**3 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*n + 16*n**3 - 8251 + 4121 + 4130 + 1174*n - 592*n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)*(-4)\/(-8). Let t(j) be the first derivative of 1 - 1\/5*j**5 + 0*j**4 - 2*j + q*j**2 + 0*j**3. Find the first derivative of t(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 2*l - 6. Is i(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s - 7. Let f(k) be the third derivative of 19*k**4\/12 - 10*k**3\/3 - k**2. Let i(h) = 17*a(h) - 6*f(h). Let z be i(-1). Solve z = l - 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooaoaaiaoaioo. What is prob of picking 4 a?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*a = 2017 + 1764 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 2. Let r be q(6). Let o be 112\/(-4)*(-3)\/6. What is the remainder when r\/(8\/o)*1 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1158224 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 872454, 3489853, 7852188, 13959459, 21811666, 31408809?\nAnswer: 42750888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1192*b + 728. Determine v(1).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8985451603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2772 and 2618?\nAnswer: 47124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.24671385 * 0.08\nAnswer: 0.019737108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 72*w**2 - 112*w + 109. List the prime factors of l(13).\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*d = -5*d + 220, 0 = 2*d - 8. Let b = 102 + m. Suppose -s = -0*s - 7. Solve -3*n - b = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -999 + 1011 + 2 + -27 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3751 and -94.\nAnswer: -352594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(6*4*2*sqrt(108) - ((sqrt(108) - ((sqrt(108) + 1 - sqrt(108)) + 5))**2 + 5))*3.\nAnswer: -4320*sqrt(3) + 1790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 4*y + 97. Suppose 3*a - 84 = -m, 4*m - a - 4*a = 370. Suppose y*p - 24*p = m. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let u = -83676 - -83679. What is the closest to -2 in 0.05, s, u?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 j when four letters picked without replacement from jjqjjjjjjjjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 648593 - 7775563\/12. Let x = d + -629. Let u = -1\/12 - x. Which is the second biggest value? (a) u (b) -1\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 1520557.\nAnswer: 1520556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*s + 2*s - 20 = 0, 5*s = 5*z. Suppose 5*k = -5*x + 1558 - 108, -z*x = 25. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:18 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 + 7*r. Let b be y(7). Suppose 3*i + b*i - 45000000 = 0. What is i rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4025, 16067, 36123, 64187, 100253?\n\"Answer: -k**3 + 4013*k**2 + 10*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 75751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -67, -143, -257, -415, -623, -887, -1213?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -47, -74, -99?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/163004 and -139\/84.\nAnswer: 3423084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3*d**4\/4 + 5*d**3\/6 + 9*d. What is the second derivative of c(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - i**2 + 1. Give h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226285378 to the nearest integer?\nAnswer: 15043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336 (base 8) to base 9.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.03 - 0.03. Let u be 46062\/1377 + -32 + (-4)\/34. What is the third biggest value in u, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*i + 4 = -5, -5*i + 318 = -2*f + 333 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588761146 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7861, -30793, -68793, -121849, -189949, -273081, -371233, -484393?\n\"Answer: 2*a**3 - 7546*a**2 - 308*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 285*h**3 - 3*h**2 + 2*h - 97957 wrt h?\nAnswer: 855*h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**0)*u)\/(u*(u\/(u*u**(-1)\/u))\/u*u)*(u\/(u*u*u\/u**(-1\/4)*u))**(-28\/9))**(-5\/7) assuming u is positive.\nAnswer: u**(-365\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y - 1 = -3*j, 0 = y + j + 5. What is the third smallest value in y, -22, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*o**2 + 5*o + 121*o**2 + 5 + 2*o**3 - 4*o to q*o + r*o**3 + h*o**2 + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4574649 take away 31?\nAnswer: -4574680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 4) to base 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480276?\nAnswer: 2, 7, 29, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 - 6\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + 0*n)*(-2 + 4 + 0)*(1 - 2 + 0)*(n**3 + 5*n**2 - 5*n**2).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-6)\/(-120))\/((-9)\/42).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 110 + (-10 - (1 - -10)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2659\nAnswer: 797.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -34. Solve -4*n - 2 = -l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}