diff --git "a/data/dm_maths/full_data_2/1513_11255.jsonl" "b/data/dm_maths/full_data_2/1513_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1513_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -43450c (base 13) to base 3\nAnswer: -2222022001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 9. Let s be l(6). Suppose -2*c + s = -3. Solve 0 = c*a + 7 - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -2*u. Suppose -2*j + 14 = 3*o - u*j, 14 = o + 3*j. Let x(b) = b**2 + 8*b + 2. Let h be x(-7). Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1, -22, 3\/4, -2, -0.14, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 30*k**2. Let v(g) be the second derivative of g**3\/6 - 20*g. Calculate p(v(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1\/2 - -2. Let z be (15*1)\/(k\/2). Let h be z\/((-2)\/(-1) + 0). Solve -4*x - 20 = -2*y + 4, 3*x = -5*y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 353*z**4\/2 + 62131*z**3\/4 - 268501*z**2\/2 + 472149*z\/4 + 504 = 0.\nAnswer: -96, -3\/706, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 3\/5)\/(179\/(-110085)). What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3874680.\nAnswer: 2, 3, 5, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i. Let o(s) = -90192478*s**2. Give p(o(d)).\nAnswer: 1443079648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -4 (b) 7 (c) 73 (d) -0.48 (e) -0.3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {n: 1, i: 2, y: 1, v: 2, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 13. Let q be s(7). Let y(x) = x**2 - 1. Let b(r) = -4*r**2 - r + 6. Determine q*b(j) - 6*y(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20049 - -20052. What is the nearest to -69 in 0, -4, m, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 293.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, u: 3, l: 4, e: 1}. What is prob of sequence gle?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2\/2 - 10*v - 3. Let s(k) = -k. What is s(u(l))?\nAnswer: -3*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 221.95\nAnswer: 110.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 660 = q + 2*q, 3*q - 652 = 5*k. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 9*o. Is h(5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127135 divided by -1?\nAnswer: -127135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10570*c - 158549. What is s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 341.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -26337636\nAnswer: -1\/26337636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 5*j + 9*j**2 - 7*j**2. Let h(u) be the second derivative of -u**3\/2 - u. What is k(h(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-55))\/(1188\/(-1485)))\/((-6)\/(-11)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2359860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.644 in 0.1, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 2. Let o(q) = 11*q + 4. Suppose -2*a - 3 = -3*a. Let i = -7 - -14. Determine a*o(s) + i*m(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/4609717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55902.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i + 2. Calculate the remainder when m(3) is divided by (-6)\/33 - (-378)\/22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2183221 or 1?\nAnswer: -6\/2183221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/90 - 184*z**5\/45 - 4232*z**4\/9 - 471*z**2. Factor a(o).\nAnswer: -4*o*(o + 92)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9968464*a**5*o**3 + 3*a**4 + 25*a**2*o**2 - 7*a**2*o + 288601*a*o**3 wrt a?\nAnswer: -598107840*a**2*o**3 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.66 - -4.36. Which is the biggest value? (a) 0.3 (b) m (c) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/231 and 2\/213?\nAnswer: 16401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72119843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*l - 189 = -977*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**2 + 256*b + 11043*b**3 + 9*b**2 - 10198*b**3 wrt b.\nAnswer: 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -477*y**2 - 73*y + 90616?\nAnswer: -954*y - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 297*d + 8*d)*(-3 + d + 3) + 0*d**2 + 3*d**2 + 6*d**2.\nAnswer: 321*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 82 = -35. Let v = -24 + a. Solve 0 = 2*k - 7*k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**6*h))\/(h\/(h\/(h**9*h))))\/((h**4*h)\/(h\/(h**(-1\/3)*h))) assuming h is positive.\nAnswer: h**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -4398661 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - 6?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r - 68. Let z(u) = -u - 1. Let f(t) = o(t) - 4*z(t). Let k be f(-9). What is the greatest common divisor of k and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*h**4 - 27*h**3 + 330*h**2 + 432*h + 96 = 0. What is h?\nAnswer: -4, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*c - 21, -2*c + 589 = 5*l + 603 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-6)\/5)\/(3 + (-77)\/(-55)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 1011*p - 1016*p + 16 = 3*m, -m + 13 = 4*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**2 + 371*v - 4 - 23*v**2 + 29*v**2 + 2 to n + l*v**2 + x*v and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**3 + 4 - 4)*(10 - 31 - 2*j + 23) to q + x*j**4 + l*j**2 + t*j**3 + y*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8230, 16676, 25128, 33586, 42050, 50520?\nAnswer: 58996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-11210)\/(-456))\/(2\/4)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 731279337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3648 divided by 456\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/23681 and 10\/917.\nAnswer: 3102211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209951235 a multiple of 2245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 57*r + 22. Let m(g) = 52*g + 21. Let s(k) = -53*k - 21. Let j(z) = 4*m(z) + 5*s(z). Let x(c) = -3*j(c) - 4*q(c). Is x(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 + z - 1. Let y be ((-4)\/(-6))\/(6\/18). Let h be 4 + -1 - y - -1. What is the units digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 10. Suppose 0 = -6*x - 0*x - 42. Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43422 + -128337. List the prime factors of (2\/(-6))\/(45\/b).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 634958.\nAnswer: 19048.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1293, 1288, 1273, 1242, 1189, 1108, 993, 838?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 10. Let q be l(0). Calculate the remainder when 65 is divided by (1 - 10\/6)\/(q\/495).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 317200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1355 + -1320. Calculate the remainder when k is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2)\/(1 + -2). Let k(i) = -i**2 + 1. Let z(m) = 5*m**2 - m + 10. Let f(s) = -6*k(s) - z(s). Let a be f(4). Solve o = 5*u - 14 + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 2174*p**3 - p + 2164*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/369 + (-17)\/(-18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 1 - 3*h + 7 + (-7 + 2 + 3)*(-3*h + 4*h + 0*h).\nAnswer: -5*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3119006mm?\nAnswer: 311900.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0212955208 to 4 dps.\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24a4a9 - -41?\nAnswer: -24a468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 3*4*(-3 + (-5 + sqrt(1377) - sqrt(1377) - sqrt(1377)) + sqrt(1377))*3)**2.\nAnswer: 77841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*w - 148463 = -184*w + 740965. Is 219 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2459 times -3\nAnswer: -7377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2 + 0)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22056 is divided by 2255?\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29\/3 (b) 1 (c) 5 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 379, 1, 5, 349 in decreasing order.\nAnswer: 379, 349, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, f: 2, t: 2, s: 2, b: 4}. What is prob of sequence thhs?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3 + 43*d**2 - 44*d = 0.\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -232, -347, -464?\n\"Answer: -f**2 - 110*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/3 + 11*l**3\/6 + 16*l**2 + l + 6. List the prime factors of s(-7).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5, 338, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 4*s + 6, 2*y = -s + 2*s + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*b + 9860, 4*d - 3 = 1. Let k = b - -98493\/20. Find the common denominator of -59\/78 and k.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**3 - u**2 + u + 1. Let v(g) = -75*g**3 + 9*g**2 - 7*g + 3. What is -7*j(p) - v(p)?\nAnswer: 19*p**3 - 2*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01102565344 to four dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346*u = 65712 + 115998 for u.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -283?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 9*i**2 + 2*i + 1. Let b(a) = 3*a**3 + 26*a**2 + 6*a + 3. Let v(j) = -6*b(j) + 17*g(j). Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kggkkkvkygggggl. Give prob of picking 1 v, 1 g, and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + (2 - 1 + 1)*(-1 + 2 - 2))*(2*p - p + 0*p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 4\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 46753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let z(v) = -747*v**2 + 9*v + 3. Let g(n) = -5*n**2 + 3*n + 1. Let t(r) = -12*g(r) + 4*z(r). Determine l(t(u)).\nAnswer: 2928*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -70 (b) -5 (c) 5\/21 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32838 != -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1978, -3, 1.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uujzjeusfsjufus?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(6\/5))*k**(-2\/23))\/((k\/(((k**18*k)\/k)\/k))\/k**(-4\/9)) assuming k is positive.\nAnswer: k**(17252\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 57 + -33 - -45\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -6064.\nAnswer: -30320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 40 - (6 - (-4 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) + (-222)\/(-78). Let t be g + 1 - 1\/4. Find f such that -7\/4*f**2 - 9\/4 + 1\/4*f**3 + t*f = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -746603 or -746602?\nAnswer: -746603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 126?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -188, -395, -654, -953?\n\"Answer: 2*w**3 - 44*w**2 - 25*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(2) - (sqrt(2) - sqrt(1620)\/sqrt(10))) - 6*(((sqrt(2) + 2)*4)**2 + 3).\nAnswer: -456*sqrt(2) - 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/14, 27, -1, -1\/3 in ascending order.\nAnswer: -1, -9\/14, -1\/3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 450 + -447. Suppose 0 = -52*t + 55*t + 33. Sort -5, y, t in decreasing order.\nAnswer: y, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + 1257 + -1275.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 404 and -4.\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*(k**(-2\/11)\/k)\/k)\/((k**(-2\/85)*k*k)\/(k\/(k\/k**9))) assuming k is positive.\nAnswer: k**(29772\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - 4764*o**2 - 18 + 36 + 4765*o**2.\nAnswer: 7*o**3 + o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m + 2. Suppose -31*c = -26 - 5. Calculate n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 10\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 4*m**2 + 10*m - 51. Determine d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let u = -1.5 - -1.5. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 8}. Give prob of sequence gg.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 922152 = -109*j + 32*j. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -58 + 0*z + 57 + z**2 - z. Let o be 2\/(8 - 2)*-3. Let i(h) = 2*h**3 - 3*h**2 + 4*h + 3. Calculate o*i(t) - 3*f(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 2, f: 4, g: 5, p: 1}. What is prob of sequence gg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 506*d**3*k**4 - 9*d**3*k**3 - 4*d**3*k + 2*d**2*k**2 + 2*d - 53*k**2 wrt k.\nAnswer: 12144*d**3*k - 54*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26039833 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2\/11, 2\/5, -0.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtt when three letters picked without replacement from {w: 3, y: 1, x: 6, t: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 7*s)*(0*s**4 + 16*s**4 + 15*s**4).\nAnswer: 217*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 373458 and 44592.\nAnswer: 2987664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.88495 hours to seconds.\nAnswer: 64385.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2232 and 248054715?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.13, 182, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and 3389\/75 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let s(a) = -1. Let h(j) be the third derivative of j**4\/24 - 7*j**3\/6 - 3*j**2. Let w(d) = 3*h(d) - 21*s(d). Determine w(y(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/4 = -68457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-118 - -4))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**2\/7 - 1880*v\/7 - 2112 = 0.\nAnswer: -462, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 4)*(-5*q - 2 + 2) + 3*q - q + q)*(-q**2 - 3*q**2 + q + 2*q**2).\nAnswer: -16*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 1761 = 0. Let t = j - 397. What is the greatest common divisor of 76 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*2 + sqrt(130) + (sqrt(130) + 3*sqrt(130))*1)\/((-3*sqrt(110)*1)\/((sqrt(99)\/sqrt(3))\/sqrt(3))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**(-1\/5)*((k*k**(1\/4))\/k)\/(k*(k**1*k)\/k*k) assuming k is positive.\nAnswer: k**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28878 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 38 = -5*k. Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-30))\/((-42)\/(-756))*70\/4*1\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 13. Is 39285\/99 - (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 2 j when four letters picked without replacement from {j: 5, r: 1, o: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -14. Suppose i*q = 6 + 6. Calculate the highest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57850493 to the power of 1\/2, to the nearest integer?\nAnswer: 7606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from tmmtm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 108. Let j = -111 + v. Solve 2*g + j = -i, -2*g - 26 = -5*i + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 24*c**2 - 16*c + 1. Calculate g(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (7 - (-3 + 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1119279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1857028 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(4\/(-24)). Suppose 2*p + 2*v - 7*v + l = 0, v - 15 = -4*p. Suppose -6 = -p*z + 33. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22740 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -64*q**2 + 8 + 0*q**3 + 65\/4*q**4 - q. Find the first derivative of i(a) wrt a.\nAnswer: 390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 27*c - 7. Let b(l) = -26*l**2. Determine d(b(q)).\nAnswer: -2028*q**4 + 702*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*o**3 + 1 + 3*o**2 - 4*o**2 - o + 2*o**4 - 37*o**3 + o**2 in the form j*o**4 + l + r*o**3 + q*o + m*o**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*d + 21 = 0, 272*d + 5 = 5*u + 267*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 4a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -21*(30\/(-9) - -3). What is the least common multiple of y - 2\/4*2 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252*o**3 - 576*o**3 - 576*o**3 + 2379*o**3.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -198b?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 3\/5, -4, 0.59?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 0 - x**3 + x**3 - 2 + x**2 + x**3. Calculate v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6483446 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 272.\nAnswer: -7\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 3 + 3 + 1363*o**2 - 44*o**2 + 865*o wrt o?\nAnswer: 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u - 63*u = 97*u + 123*u - 19451 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 4:26 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 30*c - 1. Let d(b) = -43*b. Calculate s(d(y)).\nAnswer: -1290*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1802 - 0.2402. Which is the nearest to q? (a) -10 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1. Let d(a) = 2*a - 2. Let h(s) = -4*b(s) + d(s). Let v(c) = 3*c + 4. Let l(m) = -5*h(m) + 3*v(m). Calculate l(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386610 and 5730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11843 - 5636 = -550*y - 4304 + 6625 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/6 - ((-15660)\/22 + 1). Let t = -704 + j. Calculate the common denominator of -11\/5 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 29, 3, -43, -115, -219, -361, -547?\n\"Answer: -w**3 - w**2 - 2*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*o + 5*p - 2, -3*o - 4*p + 26 = 0. Suppose -4*m - s = o*s - 13, -4*s = -4*m + 20. Solve 3*d + 2*d - 5 = 5*k, -m*k = 2*d - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjg when three letters picked without replacement from xgjjgggj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 - 3*g + 5. Let s be m(2). Suppose -2*r + 0 - 6 = 0. Let p be (-1 + 4)*(-2)\/r. Solve -3*d - s + p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -3) + -40 + 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y = -343144 - 996768. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.098 and -2245.6?\nAnswer: 220.0688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264 - -1852\/7. Let s = f - 27\/35. Let p = -19 - -20. Is s bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a minute in seconds?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k + 365. Let t(l) = 13*l - 352. Give -6*f(h) - 7*t(h).\nAnswer: -h + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*p + 78 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3 - (-69)\/(-2). Let j = -34 - o. Find q, given that 0 - 3\/2*q**3 + 1\/2*q**4 + j*q**2 - 1\/2*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0. Let h = 1\/4 + 1\/12. What is the closest to d in h, 4, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1010 + -908.9. Let b = 99.678 - g. Round b to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3) + (-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(272)*-1*3 - (3 + -1*sqrt(272) + 5 + (sqrt(272) - (sqrt(272) + 0))))*-6*1)**2.\nAnswer: -829440*sqrt(17) + 35334144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74662557.6 and -3.\nAnswer: 223987672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 102\/12 + (7 + -12 - 3). Let s = -0.2 + -0.1. Let y be 21\/40 + 4\/(-10). Which is the closest to d? (a) s (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + 6\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -72. Suppose -1189 = -5*s + 2*t, 6*s + 2*t - 723 = o*s. What is the remainder when s is divided by 39\/(-26) - (-99)\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(-2)\/(-32)*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730044?\nAnswer: 2, 3, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26001 + 643?\nAnswer: 26644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110)*-2)\/sqrt(5))\/(sqrt(132)\/((sqrt(12) - sqrt(12)*2)*-5)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.41 + 60. Let x = 0.977 - -0.103. Let h = n - x. Round h to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/36 - (-26)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let h(p) = 2*p + 9. Let y = 20 + -25. Let t be h(y). Let u(j) = 4*j - 3. Let f(g) = t*u(g) - 3*x(g). Let m(w) = -41*w**2. What is m(f(a))?\nAnswer: -41*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 + 4*w. Let o be h(3). Suppose 0*v - o*v = -42. Let p = v - 3. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:08 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(176\/(-1263)) + (-4)\/(-22) + -4. Solve 31*h - v = -6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -299*b + 33. Let a be k(-1). Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3849664664 to the nearest integer?\nAnswer: 62046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2 - r + 1. Let u(s) = -s**3 - s**2 + 1. Let m be u(-1). Give q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 6*v + 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 780*h**2 - 1576*h.\nAnswer: 4*h*(h - 2)*(h + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080137 plus 1519?\nAnswer: 1081656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111211 (base 3) to base 8\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651 is divided by 327?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63577\/57 + -3346\/3. Which is the smallest value? (a) 5 (b) 1\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -185. Is (w\/(-18))\/((-4)\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6822)\/(-90) + (-4)\/5 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -266 and 12.375.\nAnswer: -253.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 28241*h - 66. Calculate x(0).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + h + 6*h + 8*h - 5*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*d = -7, 260*y - 263*y + 11 = -5*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*i + i. Is -447*((-16)\/i + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4629134 + 9873477. Let h = b - 5244365.999788. Let i = 23 + h. Round i to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(9\/2)\/f))\/(f\/f**(-14\/3))*f**(-3\/2)\/f**(7\/8) assuming f is positive.\nAnswer: f**(-253\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2923 - 2923.2. What is the nearest to 5 in 4, 0.5, w, 0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1021 + 1031 = 0. Suppose -3*t + 3*g = 6, -2*t - 18 = -t - 5*g. Let o = t + 7. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**4 - 490*g**3 - 429*g**2 - 1659192*g?\nAnswer: -72*g**2 - 2940*g - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**2 + 3 - 8 + 7 + 6*p**4 - p**3 - 4*p**4 - 2*p as b*p**3 + u*p**4 + m*p**2 + c*p + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 192, 233, 274, 315, 356?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 949700 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*q + 1 - 30*q - 3 to l + v*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91292, -182562, -273832, -365102, -456372, -547642?\n\"Answer: -91270*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.9801t in kilograms?\nAnswer: 836980.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 5*l - 6248528 + 6248534 - l. Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Let n = 0 - 0. Let i be n\/(-2 + 2 + -1). Solve 2*u - 2 + i = b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1152 + 1167. Solve 21*h - x*h + 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3889 (b) 33 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/12 + c**4\/24 + c**3\/6 - 172*c**2. Give v(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359 - 324. Which is greater: i or 32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 3. Let u(r) = 6*r - 4. Let w(t) = -6*u(t) + 5*v(t). Find the first derivative of w(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1100) - (sqrt(1100) + 1 + sqrt(1100) - sqrt(1100)))*-6 - (sqrt(11) + (sqrt(539)*-5)**2 + (sqrt(352)\/sqrt(8) - sqrt(44))\/sqrt(4)).\nAnswer: -13457 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6550.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17859705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 0, -16941 in decreasing order.\nAnswer: 0, -1, -2, -3, -16941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 90 = 2*x. What is the smallest common multiple of x and 9 + (1 + -2)*1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 6*y - y + 165, 2*y - 186 = 3*z. Let b be (z\/(-75))\/((-4)\/(-10)). Suppose -b*i = 2*i - 3*h - 3017, -4*i = h - 3021. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-54))\/((-22)\/66*5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 120.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 17, 39, 69, 107, 153, 207?\n\"Answer: 4*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*g + 9 = 0, -5*v - 2*g - 17 = -11. Let b(u) be the second derivative of -4\/21*u**3 + 1\/42*u**4 + 4\/7*u**2 + 15*u + v. Factor b(j).\nAnswer: 2*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssccqmmccicmcimc. What is prob of picking 1 q and 1 c?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (-3 - (-19 - -14)) - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284241 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -353?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:33 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -42) + -109 + 78?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 74 = 11 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/57, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 219222*u**3 - 3781022223*u**2 - 8178255156708*u - 4175171274607788 = 0.\nAnswer: -994, 37531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 14) to base 12.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Let h(c) be the third derivative of 0*c**5 + c**2 - 1\/12*c**4 + 0*c**7 + x*c**3 + 0*c + 0 + 1\/30*c**6 - 1\/168*c**8. Factor h(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 910990 - 622103. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 + 0*g**3 - 6 - 7*g**2 + 51*g - 49*g - 2*g**3. Calculate f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.6 + -2.6. Which is the closest to q? (a) -4 (b) 4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (3 - -1098 - (2 + -4)). Suppose 0*l = -8*l + s. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -4*m, 29*m - 31*m = -5*d + 3. Let t(v) = -v**3 + v**2 - v - 1. Let z(o) = 7*o**3 - 6*o**2 + 3*o + 4. Give d*z(a) - 6*t(a).\nAnswer: -a**3 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**2 - 69*l**3 + 17*l**2 + 74*l**3 + 27*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 9.5. Let k = q + -0.5. What is the smallest value in k, -0.01, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - d - 86 - 20 = 0, -3*b = -4*d - 321. Let p = b + 56. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -37?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 16. Suppose p*y = 55 + 61. What is the remainder when 338\/3 - 2\/(-6) is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:02 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 take away 288798?\nAnswer: -288799.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*1*4*-2)\/((sqrt(7) + -3*sqrt(7))*-1 + sqrt(63)\/(sqrt(81)\/sqrt(9))).\nAnswer: 16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -2. Let m = d - 6. Let t = 5.8 - m. Round t to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*r + 95*r - 73*r - 1.\nAnswer: 210*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/15 + (-2)\/3. Differentiate m**2 - m - 2 + i*m + m wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*h - 101*h - 112*h + 334*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8803 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202699*j**6 - j**2 + 46*j - 106?\nAnswer: -24323880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 40 = -y. Let v(u) be the third derivative of u**5\/60 - 7*u**4\/24 - 4*u**3\/3 + 52*u**2 - 5. Determine v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 312, 325, 328, 315, 280, 217, 120?\n\"Answer: -t**3 + t**2 + 17*t + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 - 68*x**2 + 106*x + 2480 = 0. What is x?\nAnswer: -5, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80203 to two dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyttyytyyyy. Give prob of sequence tyyt.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3410 divided by -2?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 3*d**2 + 12*d**2 + 0*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1642047 + -7?\nAnswer: 1642040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -483\/11. Let b = 4 - 5. Is z equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16891511 divided by 7?\nAnswer: -2413073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -2. Let v = r - 0.1. Let g = 9.7 - 6.7. Which is the closest to 0.3? (a) v (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 + 167 - (-15 + -5 - 10)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 9 = h. Let n(s) = -1212*s - 7. What are the prime factors of n(h)?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7*p**2 + 7*p - 1. Suppose -14 = -2*j - 4. Let v = j - -6. What is the lowest common multiple of d(6) and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 43*s + 2406. What are the prime factors of i(55)?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 1324*g**3 + 406734*g**2 - 20859620*g + 248220025.\nAnswer: (g - 23)**2*(g + 685)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {l: 3, c: 1, n: 1, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620 divided by -110?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c0f (base 16) to base 13.\nAnswer: -8b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*h**2 - 266*h**3 - 124*h + 125*h + 319*h**2 to p*h**2 + v*h**3 + l + i*h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxooooxxooxxxxoxxooo. Give prob of sequence xx.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1088 - 1087.99999569. Round r to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11196 divided by -2799?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7056)\/60)\/(10\/(-3)). Which is bigger: 36 or i?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 2114. Let a(z) be the second derivative of -z**3\/3 + 514*z - 1. Determine m(a(x)).\nAnswer: -8*x**2 + 2114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12278\/12 + 4\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-580)\/(-18))\/(25390\/45702)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -1\/58, -5, 44169, 4\/7 in increasing order.\nAnswer: -5, -3, -1\/58, 0.3, 4\/7, 44169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/13)*y)**(-48) assuming y is positive.\nAnswer: y**(-1200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from pyryyyyyyyprypryyy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 5 (c) 12 (d) -0.001 (e) -14 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -1279.6.\nAnswer: -1279.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109547926*k + 1554773963*k + 1554773962*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + -80?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -14\/26541 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/23, 1, 8458?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 71.1. Let s = -4 - k. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/257 - -9527\/771. Let k(o) = -o**3 - 2*o**2 + o - 4. Let t be k(-3). Find the common denominator of x and 90\/(-28) + 1\/t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/10 + 2\/5. Let s(y) be the second derivative of 1\/3*y**4 + 2*y - 1\/2*y**2 + 0 - l*y**3. Factor s(t).\nAnswer: (t - 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - g - 25. Calculate u(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -23?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k**2)*(66*k + 137*k + 467*k) - 4*k**3 + k**3 + k**3.\nAnswer: 1338*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/(d**12*d))\/(d**(1\/5)*d*d\/(d\/((d*d**(-11)*d)\/d))) assuming d is positive.\nAnswer: d**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 32. Suppose -2*m - r = -4*d, -m - 3*d + 6 = -4*m. Let h(l) = -l**2 - 1. Determine h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454763 is divided by 109.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 1463 = -3*o + 3*c, o = -2*c + 486. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912860794 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 + 29*s**2 + 6*s + 0 + 3 - 2*s. Let n be g(-1). Suppose 0 = 28*z - 24*z - n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1348 + 1351. What is the second biggest value in 0.3, -0.3, 0.6, o?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/5, -0.028, 0.\nAnswer: -4, -1\/5, -0.028, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2\/7*t + 0 + 0*t**2 + 2\/7*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/2912)\/((-1)\/7)*57\/9.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcn when three letters picked without replacement from {n: 1, s: 2, x: 1, j: 1, m: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/6 of a hour?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -979?\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 517.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -630.52078 + 582.5202. Let h = y + 48. What is h rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5830 by 2.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 6 - 8)*(4 + 3*u - 3 - 2*u) as v*u + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1536.5 and 1.2?\nAnswer: 1843.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 14*w**2 + 14*w + 18. What are the prime factors of c(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11\/(-7) + 5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9516961 rounded to the nearest ten thousand?\nAnswer: 9520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 1135 = 639 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375 - 1495 + 5*s + 373 + 375 + 377.\nAnswer: 5*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*j - 143 - 136, 5*j = -3*h + 744. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3924 divided by 2\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*2\/3 + 9\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 - 178. Let r = 5 + -2. Let t = 6 - r. Calculate the remainder when k is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5280)\/720 - (-2 + -2 + -4). Suppose 1\/3*n**2 - n + d = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + sqrt(102)*-2*-5)*6*1)\/(1*sqrt(24) - (-1*sqrt(48))\/sqrt(8)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95577057 to the nearest integer?\nAnswer: 9776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -50, -130, -280, -524?\n\"Answer: -4*u**3 + u**2 - 9*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8422320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144503 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let o(z) = 2*z - 3. Let h be (115\/(-20))\/((-3)\/12). Suppose -h = l - 21. Let u be ((-10)\/(20\/(-4)))\/l. Determine u*o(j) + 5*i(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789868.\nAnswer: 2, 3, 137, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70.7, -0.5, -3.4 in decreasing order.\nAnswer: 70.7, -0.5, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 260339*t + 1041340.\nAnswer: (t + 4)*(t + 260335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 513, 2054, 4623, 8220, 12845?\nAnswer: 18498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 6. Let h be 3*(-4)\/6 + -3. Let b be g(h). Let r(f) = -1 + 2*f - 8 + 7. Determine r(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*r = -r + 40, -3*r + 60 = 3*v. Suppose 3*t = -3*j + t + v, 0 = 3*j - 2*t - 16. What is the first derivative of -7*y + 4 + 4 - j*y + 3*y wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/12 - 55*y**4\/6 - 1210*y**3\/3 + 15*y**2\/2 - 143*y. Let j(w) be the first derivative of r(w). Factor j(m).\nAnswer: -5*(m + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4141*m**2. Let h(y) = -2*y**2. Give h(j(n)).\nAnswer: -34295762*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14544 divided by 7272?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 3*f + 5. Suppose -2*i = 7*q - 3*q + 16, -3*i + 11 = -q. What is h(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 3*l + 1. Give w(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -179900 (base 11) in base 16?\nAnswer: -4387e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**10\/630 + l**6\/60 + l**3 - 1. Let s(j) be the third derivative of z(j). What is the third derivative of s(a) wrt a?\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 5*d)*(2 - 2 + 1)*(-47 - 2*d - 23 + 0*d).\nAnswer: -14*d**2 - 490*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -11*y**6\/30 + 5*y**4\/12 - 6*y. Find the third derivative of z(x) wrt x.\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/175 (b) 0 (c) -5 (d) 76 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1)*-4 + (5 + sqrt(192) + 0)**2.\nAnswer: 48*sqrt(3) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 + p**3\/3 - p**2 - 164*p + 58. Let h(f) = -f**2 - 2*f + 1. Suppose 2*o = -0 + 12. What is o*z(l) + 7*h(l)?\nAnswer: -l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4cde (base 15) in base 6?\nAnswer: -203545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 + 2 = 0. Let r be 4\/x*12\/28. Which is the second smallest value? (a) 4 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/11668536 and -97\/5834268.\nAnswer: 11668536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/42)\/(48\/(-144)). What is the third biggest value in -9, -4, 0.2, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -318c4 - -47?\nAnswer: -3187a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.8 - 12.2. Sort -0.2, 0, t in ascending order.\nAnswer: t, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*s - 7*n + 104, -5*n = -2*s + 59. What is the highest common divisor of s and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26164627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*v = -27, 27*t = 18*t + 22*t + 4*v + 185 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2 - 15\/(-6)). Let f(d) = -2*d**2 - 17*d + 17. Let n be f(-9). Solve 41*i - 37*i - n = b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1139793 (base 11) to base 2.\nAnswer: -111100101101101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579408 and 2897040?\nAnswer: 2897040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (-30)\/(-3 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/9 (b) 10 (c) -1.8 (d) 3 (e) 0 (f) 2\/105 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k**2 + 5*k + 5 + 24*k**2 - 5*k.\nAnswer: -22*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 5, -0.68?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 16. Suppose -2*g + 59 = m + 2, 1 = g - 5*m. Suppose -8*s = -2 + g. Let n be q(s). Solve 2 = -4*r - 3*c - 1, -4*r = n*c + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -10, -170 in ascending order.\nAnswer: -170, -10, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*b = 9, 6*d + 4*b = 2*d - 4. Let s be (15\/d + 0)\/(-1). Suppose 5*z - 6 = 2*z. Sort s, 4, z in decreasing order.\nAnswer: s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(7*d**2 - 7*d**2 + 10*d**5) + (5*d**2 + d**2 - 5*d**2)*(-d**3 + d - d).\nAnswer: -31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + -98 - (2 - (5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*i - 4*j, -4*i - 1009*j = -1008*j - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**6\/72 + a**5\/120 - 5*a**3\/3 - 2. Let y(s) be the third derivative of n(s). What is the second derivative of y(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (729\/(-324))\/(42\/(-8))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**3 - z**2 - 14*z + 21. Let l be o(3). Suppose 0 = -l*v + 115*v + 578. Do 44 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:42 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70714, -141446, -212186, -282934, -353690, -424454, -495226?\n\"Answer: -4*i**2 - 70720*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 28*t + 26.\nAnswer: 2*(t - 13)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 20, -31, -122, -253, -424?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -162, -387, -714, -1149?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 691098924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 10*g - 1. Let y be o(-11). Suppose 4*f - 6 - y = 0. Suppose -17 = s + 5*w, -4*s = f*w - 2*w - 4. Solve s = d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 + 1675575162\nAnswer: 1675575156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 11 + 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + n**2\/2 - 12*n - 15. Let j be h(-7). Suppose 22 = -p + 2*p - 5*l, -3*p - 3*l = -j. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 640599569901\/1930 - 331916883. Let w = -20\/193 - c. Calculate the common denominator of -49\/3 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/6277223 and -38\/1574851.\nAnswer: 445682833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.011 + 39.989. Let r = t + -39.966. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142343317.\nAnswer: 61, 2333497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(255)\/sqrt(5))\/sqrt(3))**2 + sqrt(1088) + -2)*-1.\nAnswer: -8*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -18, 16, 84, 198?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**2 - 2*x - 9. Let a(c) = 11*c**2 + 2*c + 7. Let l(j) = -5*a(j) - 4*v(j). Give l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - -1433. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-22)\/12)\/(7\/(-4319)) - (-18)\/(-108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -52*m**2 - 3*m + 458. Calculate q(1).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18494 - -66946. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -21, 1.4, 0, -0.2, 1, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p**2 - 1. Let u be z(1). Let t = u - 15. Let v = t + 46. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 49*k = -720. Let f be ((-10)\/4)\/((-1)\/66). What is the greatest common divisor of f and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 - 3*a - 7. Let x be c(-6). Suppose -6 = -h + x. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 4*p**3 - 3*p**3 + 1 + p**2 + 43. Let g be z(0). Let a(y) = -y**2 - 11*y + 7. Let m be a(-11). What is the greatest common factor of g and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2220 = -206*w + 1694. What is the remainder when 1334 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1618 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.92 + -0.12. Let q = -0.2 - v. Let n = q + 13.51. What is n rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3. Suppose 3*n - 1 = 5. Suppose -n*u + 3 = -0*j + j, 0 = -u. Calculate f(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (10 - 21) - 13 - -26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5463*l - 569*l - 430770 = -842*l for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 18. Suppose -4*u - 73 = -13. Let j be g(u). Suppose -7*k**3 + 2*k**2 - j*k**2 + k**5 + 6*k**3 + 0*k**2 + k**4 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7566203462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*(-2)\/(2\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2861\/1020110 + -3\/3458. Is b at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5190216121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 97485711378559?\nAnswer: -97485711378559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 181*y**2 - 4*y + 7*y + 154*y**2.\nAnswer: 335*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -27?\nAnswer: 2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(12*9\/594).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**2 + 65*a + 10.\nAnswer: 5*(a + 2)*(6*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/3 - 33868*c**3\/3 - 2579669*c**2\/3 - 848600*c = 0.\nAnswer: -75, -1, 0, 33944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*v + 566 - 547 = -u, 4*v - u - 19 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 270 + -280 + (-1 - -16) + -20\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 55*r + 543. Give d(39).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5413 + 1266*z**3 + 1328*z**3 + 1671*z**3 - 1289*z**3 - 146 wrt z?\nAnswer: 8928*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3515449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2909658 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 12*t**2 - 7*t + 13. Let p be k(-13). Let c be 270\/p - 1\/(3\/(-12)). Sort 1\/3, 0.2, -2\/7, c in ascending order.\nAnswer: -2\/7, c, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:07 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 56*b + 2837. What is y(-50)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 17 + 3. Suppose -n*g - 18 = 2*r, -3*r - 2*r - 20 = 0. Let t be (3\/17)\/(1 + g). Is t at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/30*((-6)\/7)\/((-4672)\/(-102200))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*t = 3*f - 4, 10 = 2*f + t. Let i be -1 - (-1 + 0 - f). What is the units digit of i*((-1)\/2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -11*p**4\/24 - 4*p**3\/3 + 11*p**2. What is the remainder when q(-3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, z: 3, s: 2, f: 7}. What is prob of picking 2 f and 1 z?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -3879258 and -204639.\nAnswer: -4083897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 40 = 2*r + k, 56 = -3*r - 5*k. Is (r + 6)*(-4)\/(16\/30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-7 - -25) + 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 49 = -7*x + 15, l + 7 = -x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*i + 901*i + 77*i)*(-1 - 1 + 4).\nAnswer: 1534*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1b52 (base 13) to base 6\nAnswer: -31031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -5, 3.3 in ascending order.\nAnswer: -5, 1.1, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -743996*v**5 + 1688*v**2 - 1036*v**6 + 743996*v**5 wrt v?\nAnswer: -124320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-3)\/(-3))*(7 + (189030 - -24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13904819?\nAnswer: 2689, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 555 and 660?\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 3*j**2 - 3*j**2 - 332*j**3 - j**2 + 7*j**2.\nAnswer: -332*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*o - 21*o**3 + 52*o**3 - 19*o**3 - 35*o + 10*o in the form l*o**2 + b*o + y*o**3 + d and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p. Let n be f(-7). Let w be 2\/((-3)\/(6 - n)). Calculate the remainder when w\/18 - (-573)\/27 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/7845060 and 83\/197360.\nAnswer: 31380240","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.12 - 44.72. Let r = -20 - -12. What is the fourth smallest value in r, w, -2\/9, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 78*h**2. Let i(t) = -4*t**2 + 22*t - 21. Let r be i(4). Let v(s) = -2*s + r*s + 7*s - 7*s. What is u(v(a))?\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68673.7ms to nanoseconds.\nAnswer: 68673700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 - 557*q**2 + 1227 wrt q?\nAnswer: 6*q**2 - 1114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -1\/27 (c) 0.4 (d) 3942\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 5*v + 2*v. Let m(i) = 2*i**2 - 9*i - 1. Let j be m(5). Is 9 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {e: 4, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 3*k**3 - 5*k**2 - 4 + k**3 - k**2. Let m = -119 + 111. What is the hundreds digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + o + 2. Let k be y(2). Let p(s) = s**3 - 13*s**2 + 42*s - 11. Let a be p(8). List the prime factors of k\/(-6) - ((-1128)\/18 + a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408495 is divided by 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 12*r = -14*r - 11, 2*s - r = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37bd - -14?\nAnswer: -37a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000052682 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and 105.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 24, 469, -28 in increasing order.\nAnswer: -28, 20, 24, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 10*x**2 + 6*x - 19. Let u be w(-9). Let z(o) = 9*o + 2 - 2. Let y(q) = -14*q. Give u*z(s) + 5*y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 28, 20, -6, -56, -136?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1)**2 - ((sqrt(2) + 0)*3)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*((2968\/396 - 4) + 14\/(-63))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198939 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 0*i**5 - 2*i**5 + (-3*i**5 + i**5 + i**5)*(-1 - 1 + 0) + 2*i**5 - 2*i**5 + 2*i**5 - 1.\nAnswer: 3*i**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5 - (2 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-15)\/o)*o*o)\/o**(-3\/14))\/((o\/o**6*o)\/((o**(-4\/5)*o)\/o)))**9 assuming o is positive.\nAnswer: o**(14121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:30 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f + 6*f**2 + 11*f - 5*f + 9. What is the units digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7754, 7758, 7762, 7766, 7770?\n\"Answer: 4*l + 7750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11*z + 12*z - 4 = 0, -4*o - 5*z + 20 = 0. Solve 4*g = -2*r + 2, -4*g + o = 5*r + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -756442?\nAnswer: 756413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2178243 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**2 - 35*a**2 + 76*a**2 - 8*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + r - 100 - 26 - 6*r - 40 + 208.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*v + 40 + 21*v - 33*v)*(-33*v**3 + 6*v - 6*v) to x*v**3 + i + w*v**2 + t*v**4 + n*v and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267.22 - 269.22. Sort v, 0.1, -4, -3, 3.\nAnswer: -4, -3, v, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1114*i + 33 + 36 - 69)*(2*i**2 + i**2 - 2*i**2) to g*i + v*i**2 + r*i**3 + d and give r.\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rryrrfy. Give prob of picking 2 y and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 324*j**3\/7 - 629892*j**2 + 2136385888*j + 45142314672 = 0?\nAnswer: -21, 61334\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -26*j**3 + 11*j**2 - 129*j + 123. What is x(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from knkkkkkkknnkkkk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357924587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144264689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781057?\nAnswer: 23, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22696 and 25533?\nAnswer: 204264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 53 = l - 3*q, -q + 173 = -4*l. Let f = l - -15. Let y be (-3 - f)\/((-2)\/(-60)). Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s = -80*s + 154 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 5. Let f be i(1). What is the derivative of -15653*j + 9*j**f - 53 - 3*j**3 + 15653*j wrt j?\nAnswer: -9*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*d*j**5 + 5*d*j**2 - 6520*d*j + 27*j**6 + 44*j**3 + 3*j**2 wrt j?\nAnswer: 4800*d*j**2 + 3240*j**3 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72297, -144569, -216807, -289017, -361205, -433377, -505539?\n\"Answer: -z**3 + 23*z**2 - 72334*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/2)\/r)\/r)**(-47))**(-41\/3) assuming r is positive.\nAnswer: r**(-9635\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:15 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833 - 416 - f**2 - 417.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/(-126) + (-3)\/(-9). Let h = -176 + 177. Is s not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*c**2 + 394*c**2 - 772*c**2.\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, r: 3, i: 4, m: 6}. What is prob of sequence ir?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3722 + 10430. Suppose 4*f - f - y = 0. Is (-4)\/2*f\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 290.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/15 + 2342*w**3\/15 - 782*w**2\/5 - 2342*w\/15 + 2344\/15 = 0.\nAnswer: -1172, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 23 = 30*d + 4*g, 18 = 2*d + 4*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13358 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u, 20*a - 15*a - 2*u = 8. Let l be (18\/5)\/((-6)\/(-80)). Calculate the highest common factor of l and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 4*u, z - 11 = 8*u - 7*u. Solve 0 = z*n - 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - 23*d**2 - 17*d - 23. What is k(6)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/3 + c**3\/3 - 3*c + 3. Let x(w) be the first derivative of u(w). What is the second derivative of x(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-28))\/(10\/(-35)). Let y = -0.4 - -0.3. Suppose 3*o = -5*x + 8, 0*x = 5*x - 2*o - 28. What is the biggest value in x, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36.6108*-0.2\nAnswer: -7.32216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:29 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(11) + -1.\nAnswer: sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10256, -20552, -30842, -41126, -51404?\n\"Answer: 3*d**2 - 10305*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {e: 1, l: 6, d: 5, a: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 + sqrt(114))*1*-2*-1)\/((sqrt(48)\/sqrt(2) - sqrt(24))\/sqrt(4) - (sqrt(6) - sqrt(12)\/sqrt(2)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 3645, 8421, 15335, 24519, 36105, 50225?\nAnswer: 67011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Suppose -p + 10 = 4*p. Solve v - p - 2 = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 58 = 36*j. Let m(r) be the second derivative of r**4\/12 + r**3\/3 - r**2 + r. Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291349841.\nAnswer: 13, 19, 23, 593, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*l = 0, 3 + 7 = -2*s + 4*l. Let y(w) = w**2 - 5*w - 3. Let u be y(s). What is the greatest common divisor of 462 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 18*a**4 - 8 - 2*a - 53*a**4 - 3*a**3 + 21*a**4 - 130*a**2 + 15*a**4 as v + w*a**4 + h*a**3 + j*a + s*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 3, j: 1, d: 4, u: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-275*i**3 + 17*i**3 + 149*i**3)*(-1 - 5*i + 1).\nAnswer: 545*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 - -189. What is the remainder when 43 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 11. Let t(x) = -x**2 - 2*x + 12. Let f be t(-7). Let o = f - -14. List the prime factors of j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/4 (c) -3\/2 (d) 5 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1081*n + 2 = 2*j + 1077*n, n = j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + t + 1. Suppose 2*l - 3 = r - 4, -3*l + 16 = -5*r. Determine h(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:33 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25533*s**2. Let w(z) = 37*z**2. Determine w(h(m)).\nAnswer: 24121561293*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 5*l. Let n(p) = 7*p. Give h(n(r)).\nAnswer: -98*r**2 - 35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2a4 + -27?\nAnswer: 1b279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 9. Let z = f - -7. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/670854 and 29\/102?\nAnswer: 670854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*i - 4*w - 32 - 46, 5*i - 21*w - 48 = 26*w - 45*w for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 297087.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 21*l**2 - 7*l - 327. Let m be j(22). Let q(v) be the second derivative of 10*v + 0 + 0*v**2 + 5\/6*v**m. Let f(b) = 3*b. Calculate f(q(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5927, 5928, 5907, 5852, 5751, 5592, 5363?\nAnswer: 5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202970?\nAnswer: 2, 5, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9257165\/1400238 + -2\/77791. Find the common denominator of d and 1 - (0 + (-16)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -15799, 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 2 - 2)*(0 - 4 + 1)*(106 + 74 - 32) in the form y*a + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13127*y**4 + 57*y**3 - 13*y**2 + 29629*y wrt y?\nAnswer: -315048*y + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5129800?\nAnswer: 2, 5, 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 19, r: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 12)*10*3\/24*(-280)\/(-175).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245\/4 + 61. Let l = -45.6 - -45.56. Which is the biggest value? (a) -0.5 (b) s (c) 0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -290, -14516, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-10)\/15). Suppose -f - o = -9. What is the tens digit of (-227)\/(-4) - (-2)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - 2*b**4 + b**4 + (3145 - 120*b - 3145)*(13 - 2*b**3 - 13).\nAnswer: 239*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (23 - 34) + (7 - (9 - 4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j + 30*j + 22*j + 680 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from vnnvvvvnvnvnnvnnnv?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 28*k - 71. What is o(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (68\/36 - (11 + 6\/(-1))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3899\/1562 + 3\/781. Suppose 2*a = 5*v - 25, 0 = v + 5*a - 5 - 0. What is the third smallest value in d, 0.1, v, -0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3 + 3 - 3*v + 3*v + 3*v**2 + v**2 + 3*v**2 - 3*v**2 + (-v - 2 + 2)*(4*v + 0*v - 2*v))*(3*v**2 - 3*v**2 + 5*v**2 - 3*v).\nAnswer: 5*v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 118 - (-9 + -49)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 5*i. Suppose i = 4*f - 12 - 36. Let l = 47 - f. What is the remainder when 104 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21690 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 410 = -s, 0 = 111*l - 115*l + 6*s + 1648. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40051011 (base 6) to base 12.\nAnswer: 463a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235 less than or equal to 567458\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3517*b - 603*b**2 - 3348*b + 6865*b.\nAnswer: -603*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 9. Let k(v) = 2*v + 8. Suppose 0 = 3*m + 16 - 4. Let r(b) = m*g(b) + 5*k(b). Find the first derivative of r(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596715 is divided by 39771.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o - 4*u, -14*o + 11*o = -u + 4. Sort -2\/3, -0.2, 5\/3, o in descending order.\nAnswer: 5\/3, o, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(1 + 114\/(-111)) and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 3 = 45*q. Let i be ((-47)\/(-1222))\/(q\/(-4)). Determine z so that i*z**3 + 0 + 0*z**2 - 2\/13*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 74227.53 and -3145.\nAnswer: 71082.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 16)*(-5*u + 3*u + u) to l*u + i and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g + 9*g - 19*g)*(11 - 2 + 1)*(2*g - 4*g + 0*g).\nAnswer: 520*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/12 + m**3\/2 + 5*m**2\/2 + 2*m. Let a be p(4). Suppose -r + 3*w + a = 0, -w - 5 = -r - 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 712 + 2362014?\nAnswer: 2362726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-25 + -2 + 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 205855433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 982233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 185.3188659 nanoseconds?\nAnswer: 0.00000000000030641346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18706.\nAnswer: 2, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(59\/(-15) + (-15)\/(-25)) and ((-108)\/(-21))\/(-1) - 3?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.21, -1\/2.\nAnswer: -1.21, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3) + 0 - 10. What are the prime factors of (-16)\/(-12)*h\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233089 by 7519.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*v - 0*w - 126, 0 = 5*w - 15. Let i = 44 - v. Solve -i*z + 1 = -14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1209 in -2, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1097604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 1149, 2492, 4367, 6774?\nAnswer: 9713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 + 2*z + 3. Let v be i(3). Suppose v = 4*c + c. Suppose -2*l = 3*k - 48, 0 = 5*k - c - 10. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 70. Factor -5*z**5 + 15 - 5*z**n + 72*z**3 + 3*z**3 + 70*z**2 - 45*z**3 + 55*z.\nAnswer: -5*(z - 3)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - 5633*q**2\/5 + 23386049*q\/5 - 19031531583\/5.\nAnswer: -(q - 1487)**2*(q + 8607)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53645, -53839, -54017, -54179?\nAnswer: -54325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -649 + 1041. Suppose -3*a - 588 = -3*w, -3*a + a = 2*w - k. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6153 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 143000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37888392*b**4*k**3 + 17*b**2*k**2 - 21*b*k**3 + 63*b*k**2 - 2*b*k - 20*k**2 - 2*k wrt b?\nAnswer: -909321408*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/63 and -157\/6554562?\nAnswer: 19663686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 117, 2 in decreasing order.\nAnswer: 117, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -60.0033. What is h rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/((-23)\/((-3128)\/32)))\/((-15)\/6)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 23 + 1. Let i = m + 3. Let z = -2 - 2. Sort 5, z, i.\nAnswer: z, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/135 + (-84)\/45. Let n(f) = f + 1. Let w(s) be the first derivative of -s**3\/3 - 2*s - 1. Determine g*n(u) - w(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (90 - -26) + -68 - (2 + 15)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -22590000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-234)\/390)\/((-369)\/(-5)))\/(1\/9*3).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-78)\/(-28))*16\/12\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njmtjki. Give prob of picking 2 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*32\/56.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3*u**2 - 2*u**2)*(-8*u**3 + 14*u**2 - 14*u**2)*(-3 + 3 - 1).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (1 + 8 - (-16 + 16))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130867 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -932*x**2 - 884*x**2 + 2742*x**2 - 928*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*(u*u*u\/u**(-6))\/u)\/u)\/u)\/u**(-31)*(u*u**(7\/8)\/u)\/((u*(u**(-3)\/u)\/u*u)\/u))**(1\/16) assuming u is positive.\nAnswer: u**(351\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from kkkeekkkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxxzxfxrflxrrfzxxz. Give prob of sequence xfz.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613318048?\nAnswer: 2, 7, 2738027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:08 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 10 = 2*m - m, 28 = -2*m + 4*f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.5 - 35. Sort z, 1\/20, 0.1.\nAnswer: z, 1\/20, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h*h**(-8)*(h**1\/h)**(-13) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -744, -1683, -2998?\n\"Answer: -188*w**2 + w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 632 + -713 + 2 + 2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2638970 and 10810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 + 736. Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 13*c**3 + 41*c**2 + 47*c + 18.\nAnswer: (c + 1)**2*(c + 2)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -21*b + 1. Let d be h(-5). Let w = -25 + d. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 15*x**3 - 185*x**2\/2 + 20*x - 3. Does 60 divide w(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -4 + -1 - 1) + -12 - -20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -13*l**6\/120 + l**3\/2 + 13*l**2. Differentiate r(x) wrt x.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 41295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7141441 to the power of 1\/2, to the nearest integer?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54929*g**2 + 28*g**3 - 22*g**3 + 54929*g**2.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 at most as big as -301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/128 - -1015\/384. Which is the smallest value? (a) 2\/17 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(-2)*(-1458)\/(-216)*(-1280)\/(-1440)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 606 - 39?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34 - -32)\/(1*-1). Suppose a*u - 6*u - 5*q + 20 = 0, q = 3*u - 34. Solve 6*x - u*x = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7 = q - 77 - 18, 3*q = -d + q + 22 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**7*s\/(s*s\/s**(1\/11)))\/((s*s*s\/(s*s\/s**4))\/((s\/s**3)\/s*s)) assuming s is positive.\nAnswer: s**(-142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u. Let a(k) = -3*k**2 - 2*k + 2. Let j(n) = 10*n**2 + 7*n - 7. Let x(w) = -7*a(w) - 2*j(w). Determine g(x(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.08 or 0.3?\nAnswer: -6.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 189053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136187 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmc when four letters picked without replacement from {c: 4, m: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7 + q**2 - q + 7. Let o be 24\/(-40) + 162\/(-30) + 5. Let b(y) = y**3 + y. Determine o*b(i) - 2*r(i).\nAnswer: -i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {m: 1, j: 4, r: 2, o: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-340))\/(((-6)\/12)\/(-1)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = o + 57, 4*l = 5*o + 290 - 23. Let y = o + 54. Factor -1\/4*f**y - 1\/2*f**2 + 0*f + 0 + 1\/4*f**4.\nAnswer: f**2*(f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -6.0418?\nAnswer: 2.41672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -20. Solve k*d - q + 3 = 2*q, -d - 5*q = 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 110657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 56*g + 2971. Let f be r(-53). Let x(q) = -q**3 - q**2 - 1. Let k(l) = 6*l**3 + 5*l**2 + 3. Calculate f*x(i) + k(i).\nAnswer: 3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 - -70. List the prime factors of i.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 317, 565, 941, 1487, 2245?\nAnswer: 3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 12 = c*h - 8. Calculate the remainder when 27 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35387 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - -267\/2. Let d = -5.8 + 6. What is the nearest to q in d, 5, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 33*z**2 + 4*z + 2. Let y be i(-3). Suppose -347*w = -167*w + 28016 - 656. Let m = y + w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*r**2 + 438*r**2 + 268*r**2.\nAnswer: 955*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -9. Suppose u - t + 13 + 27 = 0, -w*u - 240 = 3*t. Let x be (-9)\/u + (-1)\/5. What is the closest to x in -2\/27, 2\/5, -3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 6, x: 3}. What is prob of picking 1 x and 1 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9645649.\nAnswer: 9645649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121, 174, 227, 280, 333?\n\"Answer: 53*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d**1\/d))))**(-13\/2) assuming d is positive.\nAnswer: d**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 12. Let x be u(-12). Let i be x\/(-1 + 3) - -3. Let h be (30\/(-20))\/(i\/(-4)). Solve 0 = h*s - 6 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Let b = 19 - 23. What is the biggest value in 5, z, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 11*k**2 + k**2 + 98 - 63.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - l**2 - 16 + 16 + l + l**3 as u*l**4 + s + x*l**3 + k*l + i*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -808.7 times -1.589?\nAnswer: 1285.0243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4 + 336*o - 339*o - 19. Let z be w(-13). Factor 8*i**4 + 2*i**4 + 65*i**3 - 13*i**3 + 10*i**4 - z*i**2.\nAnswer: 4*i**2*(i + 3)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*d + 99. What is the common denominator of -53\/16 and (-201)\/3*(-3)\/d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 5*n - 2 - 5*n**2 + 6*n**2. Let x be s(6). Suppose 0*z - 4*z = -x. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114140170*m**2 + 114140170*m**2 - 2 - 13*m**3.\nAnswer: -13*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/12 + 5*y**3\/3 + 3*y**2\/2 - 10*y. Let k be l(-10). Factor -4*n**k - 36*n**2 - 7*n - 108 - 82*n + 19*n - 38*n.\nAnswer: -4*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 + v**5\/12 + v**4\/12 + v**3 - 36*v**2 - v. Calculate k(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19493 * -7.2.\nAnswer: 140349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14691, -23052, -31413, -39774?\n\"Answer: -8361*b - 6330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(2\/(-18)). Suppose w - 5*m = -k*m + 3, 0 = -w - 3*m + 8. What is the second derivative of -16*b + 10*b + b**5 - 8*b**w wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 168 = 6*k. Suppose -x - x = -k. Let j = x - 51. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 6*y**2 + 4*y + 7. Let z be a(5). Suppose -2 = 2*l - 2*f, l - 9 = -z*l - 3*f. Solve -u = -l - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - s - 10 + 1, -235*s + 233*s - 8 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328700 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/7)*b\/(b**(-18\/11)\/b))**(-38\/3) assuming b is positive.\nAnswer: b**(-13984\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12328?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 0*m**2 + 12*m + 8*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254515 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 82 = -n - 85*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*p + 247, 0 = 4*m - 3*p + 56 + 199. Let d = 35 + m. Does 4 divide (-3)\/(6\/d) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3540000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*m + 460, 5*t - m - 576 = 3*m. Suppose -5*l - t = -9*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5396*b**4 - 9*b**3 + 137614 wrt b?\nAnswer: 21584*b**3 - 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 3*r + 90. Let k(d) = 2*d**3 - 7*d - 180. Let v(z) = 2*k(z) + 5*u(z). Is v(0) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4 (c) 1\/9 (d) 145206 (e) -4\/5 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 557*-543.\nAnswer: -302451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036572233?\nAnswer: 43, 109, 221159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 5:59 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 5.3\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2 + t + 2*t**2 - 2*t + 6*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45607.3053 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - f = 3 + 4, 5*f = -20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028987 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -352 + 36?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, l: 4, i: 2, o: 4}. Give prob of picking 1 j, 1 l, and 1 o.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -9516 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611709 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5 + 15. Let m = l + 26. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1686 and 8?\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 75, 241, 567, 1107, 1915?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - 2) - (43 - (29 + -32))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4175 - 4173. Let n(a) be the second derivative of 0 - 81\/2*a**l + 27\/2*a**3 + 3\/20*a**5 - 9\/4*a**4 - 16*a. Find f such that n(f) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2014?\nAnswer: 8056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*a**3*i**3 - 11*a**3*i**2 - a**3 - i**4 + 3*i**3 wrt i?\nAnswer: 150*a**3 - 24*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 4, f: 3, i: 2, n: 1}. Give prob of picking 2 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 129966340*u.\nAnswer: 5*u*(u + 25993268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-2 + 6\/4). Suppose -2*t = -n*t. Let g be (-8)\/(-88) + 196\/22 + -5. Put g, -1, t in descending order.\nAnswer: g, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*v = 96*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-40) - 10\/40.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3 + -8 - -598. Suppose -l = -8*p - 209. Is 48 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207293, -413509, -619725, -825941, -1032157?\nAnswer: -1238373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - -41 - (53 + -119)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/5 and 3 - (-4 + (-216)\/(-22)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let r(x) = -10*x**2 + 3*x**2 + 4*x**2 + x**2. What is d(r(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + i = -35, 19 = 2*t + 3*i - 4*i. Solve -t*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377.109 rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acyc when four letters picked without replacement from aaaawyczppcpzzw.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/75936 and 71\/20316.\nAnswer: 128559648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11516232 divided by 52?\nAnswer: -221466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*b**(2\/7)*(b\/(b\/b**(1\/7)))\/b*b**0 assuming b is positive.\nAnswer: b**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*d**3 - 38*d**3 + 90*d**3.\nAnswer: 192*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12*k**2 + 55*k - 12. Let b(t) = -35*t**2 + 162*t - 34. Let o(c) = 6*b(c) - 17*h(c). What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69\/(-552) + 162274\/16 + 1?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 188150688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 28*i**2 - 6*i**2 + (4*i - 4*i + i)*(-2*i + 0*i + 6*i))*(i**2 + i**2 - 3*i**2).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744.037527 rounded to the nearest 10?\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 10. Let a be 80\/30 + u\/(-3). What is the third derivative of -d**2 + a*d**4 - d**2 - 5*d + 5*d wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 1931*v**2\/5 - 19994521*v\/5 + 4853468777.\nAnswer: (v - 2017)**2*(v + 5965)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30 and 413709071.\nAnswer: 413709101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u + u = -110, -3*u - 75 = -h. Let f = 68 - h. Suppose f = 5*o + 5*b, -4*b + 3*b = -4*o + 4. Solve 3*t = -15, 2*s = -t - 0 - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17587 and -0.01.\nAnswer: -17587.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/269607 and -109\/600.\nAnswer: 53921400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/6 - 111*w**2\/2 + 9405*w\/2 - 27225\/2.\nAnswer: (w - 165)**2*(w - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhshhs. What is prob of picking 1 s and 3 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -247 - -247. Sort 0.3, p, 5\/6.\nAnswer: p, 0.3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 124110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-8\/7)*w*w)\/((w\/(w*w**6*w))\/w*w))**37\/(w**(-5\/3)*w*w*w**(-8)*(w\/w**(-7))\/((w**(-2\/5)*w)\/w)) assuming w is positive.\nAnswer: w**(38218\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1592293858 and 20?\nAnswer: 15922938580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 242498, 484996, 727494, 969992, 1212490, 1454988?\n\"Answer: 242498*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2\/3))\/i)\/i)**(-39)\/(i**(-1\/4)*i)**(-22) assuming i is positive.\nAnswer: i**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:40 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.948.\nAnswer: 1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10135, -20272, -30411, -40552, -50695?\nAnswer: -60840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 5*n = 2*l + 20, -3*l = -3*n. Let k(b) = 1 - 3 - 3*b**2 - 2*b**l + 6*b**2. What are the prime factors of k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 times 0.6?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t + 0 - 1\/30*t**5 + 1\/3*t**3 + 26*t**2 - 1\/12*t**4 - 1\/120*t**6. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21529*i**2 + 4*i**3 - 3*i**3 - 21749*i**2 to the form d*i**3 + x*i + c*i**2 + g and give c.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 8*x**2 - 2*x - 3. What is l(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-3)*(-1 + -1). Let d = -17 - j. Let s = d - -10. Which is the second smallest value? (a) 0.4 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529965200 a multiple of 2224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2400001)\/(-4) - 7\/28. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - (-30)\/(-4))\/1. Which is the closest to 2? (a) -5 (b) l (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-1 - -1) + 20 + -7 + 6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + -122. Let q = a + 211.8. Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h = 42*h - 9750. Suppose -6910 = -16*p - h. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.98 + -16. Which is the closest to y? (a) 5 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 179*c**2 - 115*c - 244. Is s(75) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2286\/(-2 + 8) + 1 + 1. Suppose 5*d = -2*m + d + 338, -i = -2*m + 5*d. Let v = 71 + m. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 1. Let n be v(-2). Suppose -f - 3 = -n. What is the remainder when 6 is divided by (-3)\/(f\/2) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u = 33*u + c + 1, u + 2*c - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9828*q - 49186. Calculate x(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 34*r**2 - 3*r - 3. Determine g(2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (10 + -22 - -11)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755 is divided by 757.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14418912.67502834 - -0.32497166. Let x = n - 14418913.14999983. Let c = x + 0.15. What is c rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139440 by 2905.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (15 - (-5 - -15) - (20 - 3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54415 (base 11) in base 16?\nAnswer: 134b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 55351?\nAnswer: -55351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + -77. 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: Expand (-31 + 53 + 69)*(-4 - 1 + 2)*(32*t - 14*t + 12 - 17*t).\nAnswer: -273*t - 3276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 131*h - 412. Let z be x(12). What is the highest common divisor of z and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*p**4*r + p**4 - 80*p**3*r - 3*p**3 - 763565*p**2 + 9*r wrt p?\nAnswer: 3096*p*r + 24*p - 480*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 7 = y. Suppose 36*v - 27*v - 801 = 0. Calculate the remainder when v is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202110220 (base 3) in base 16?\nAnswer: -120f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 - (92\/(-20) + 5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/10 - 4*y**5\/25 + y**4\/20 - 759. Factor r(o).\nAnswer: o**3*(o - 1)*(3*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*j + 708*j = -196 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -8 + 23 + -19\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 9 - 9 + 15*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.071, -77, 0.4 in descending order.\nAnswer: 5.071, 0.4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h + 10. Suppose -h*f = -9*f. Find i, given that 2\/5*i**2 + 1\/5*i**5 + f - 1\/5*i + 0*i**3 - 2\/5*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/11, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -211*m**2 - 10. Let o(a) = a. Give o(k(p)).\nAnswer: -211*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25450 - 661205\/26. Let i = x + -31939\/1638. Calculate the common denominator of i and -52\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100110011100011000 (base 2) to base 7.\nAnswer: -22635646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1582\/4 + -1)*200\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 1, z: 4, l: 4}. Give prob of sequence wdw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, n: 6}. Give prob of sequence annn.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 818. Let r(k) = -80*k - 1. Determine g(r(t)).\nAnswer: 80*t - 817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(1300) + 3) + 3 + 1*sqrt(1053)*2)**2.\nAnswer: 4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*d + 6*d + 6 + 8)*(11 - 3 - 1) in the form p + t*d and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*b - 1. Let q = 4 - b. What is the second derivative of -8*x + 13*x + 2*x - q*x**4 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 31 in descending order.\nAnswer: 31, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(22)\/sqrt(2) - (sqrt(99)*2)**2.\nAnswer: -396 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524 (base 12) to base 3.\nAnswer: 1000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.9. Let l = 1.1 - 0.1. Let y = 7 + -2. Put l, t, y in descending order.\nAnswer: y, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3196000 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.15. Let y = -0.1 + r. Let w = y + 0.25. Which is the closest to 0? (a) w (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6089 - -6189. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 54\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:08 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, 0.2 in descending order.\nAnswer: 4, 0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14653 * 2887\nAnswer: 42303211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:28 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093568263 to 5 dps.\nAnswer: -0.00936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emem when four letters picked without replacement from mmmmmemmeem.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 132 = 53*k + 39*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5. Let f(z) = 3*z - 17. Let m(c) = -2*d(c) + f(c). Calculate m(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194230 + 194211.000175. Let v = 863 + -882. Let g = i - v. Round g to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**3 + 177*c**2 + 49*c - 154. Give r(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 61. Suppose 7*g - 2*g - 62 = -y, -y + 4*g + 26 = 0. Let h = y - 29. What is the highest common divisor of h and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 41. Let q be (-14)\/3*g\/(-14). Suppose 3*j - 16 = -s - j, q*j = -3*s + 40. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let s(q) be the third derivative of 0*q + 0 - 6*q**2 - 1\/24*q**4 + 0*q**3. Determine r(s(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(77)*-1 - 3*sqrt(77)*-1)*-1)\/(6*(sqrt(1008) - -1*sqrt(1008)) + (sqrt(1008) - 2*sqrt(1008))*6))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/55)\/(40\/(-50))*452\/(-113).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 = -50*n + 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67736 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (6*(sqrt(108) + 1 + sqrt(108)))**2)*-1*-3 + (sqrt(108) + -1)*4*6*-3.\nAnswer: 2178*sqrt(3) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(sqrt(448) - (sqrt(448) - (sqrt(448) + -2)))*-4.\nAnswer: -128 + 512*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 15. Let n(m) = 146*m + 62. Calculate n(a) + 2*x(a).\nAnswer: 140*a + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-116)\/28) + (-147780)\/(-420). What is the greatest common divisor of v and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595134 and 1284.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 635. Is 15 a factor of c(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, c: 1, r: 2}. What is prob of picking 1 r and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 125, 176, 227?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 68 - 68 + 5*q**2.\nAnswer: 5*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 30*c + 6. What is the remainder when (-9)\/6*(-2608)\/12 is divided by o(2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -110, -98, -86, -74?\n\"Answer: 12*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 3*w + 4 - 54 = i*x, 4*w - 74 = 3*x. Let q be (w\/6)\/((-10)\/(-75)). Solve -5*g = -3*u - q, 2*g - 25 = 5*u - 3*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 8.7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33446, 28116, 22786, 17456, 12126, 6796?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(1 + (-1)\/((-4)\/(-8))). Suppose -2*d + 353 = 5*v, -4*d - 3*v + 96 + 603 = c. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68420 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20695036?\nAnswer: 2, 5173759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 - 388*v**2 - 1096*v?\nAnswer: -12*v - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2965? (a) 0.1 (b) 0.4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -225315005 (base 6) to base 9\nAnswer: -7767235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by 4.\nAnswer: 303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3484*l**2 - 17112*l + 1540.\nAnswer: -4*(l + 5)*(871*l - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/24 + 2945*p**3\/6 - 8673025*p**2\/4 + 5*p + 1301. Let w(l) = 0. Calculate l.\nAnswer: 2945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48626 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*v - 0*v - 17, 0 = 3*k + 2*v - 12. Suppose -q = -3*w + 1, -5*q + k*w - 3*w = -11. What is the least common multiple of 7 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1*sqrt(272) + sqrt(68) + 0.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15067, -58515, -130929, -232309?\n\"Answer: -14483*c**2 + c - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.225 + -1.162. Put 3, r, 0.5 in descending order.\nAnswer: 3, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 53*w**2 + 28*w - 49. Suppose 56*h - 29*h = 43*h - 416. Determine g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 75. What is the hundreds digit of (p\/(-14))\/((-6)\/(-976))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-30))\/(-4))\/(1\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 15, 0 = -5*q + 2*b - 7*b + 50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 606916 divided by 4\nAnswer: 151729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357898 and 5080230?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894*z = 898*z - 1116. What is t in -1195 + 5164 + 5*t**2 + z*t + 308*t - 57*t + 10076 = 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 12*a**2 + 3*a + 8. Let g = 1071 - 1059. Give h(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 202930467*n - 115084506 wrt n?\nAnswer: 202930467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 289995 + 290097 + 6*m - 580212.\nAnswer: -2*m - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-24)\/(-2 + 818\/412)*(-30)\/(-15) and 1854?\nAnswer: 29664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and 59274 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:40 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 320 = -3*q + q, -5*h + 3*q = -806. Let l = 77 - 163. Let u = l + h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1681.8629 to zero decimal places.\nAnswer: -1682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let s(g) be the first derivative of -7*g**3\/3 - g**2 + g + 487. Give 4*b(j) + s(j).\nAnswer: -3*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12*-3)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 18 = 2*l + y, -2*y - 11 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*w + 71. What is the second derivative of -8*f**3 - 2*f - 6*f**2 - w*f + 11*f**3 - 3 wrt f?\nAnswer: 18*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:20 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 30. Suppose -k*l = -3 - 5. Suppose 3*a = r - 9, -l*r - 2*a - 18 = -4*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/72*(-340)\/(-323))\/(15\/12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70725 and 1380.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009168957 to seven decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*v = 26, -38 = -0*c - 3*c + v. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 13. Let n = 0 - a. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.2 - -28. Let k = 0.22 + 0.08. Which is the second smallest value? (a) n (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251794345 <= 1251794345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 18. Let i = -5 + s. Sort -0.3, 0.1, i in decreasing order.\nAnswer: 0.1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13540, -51950, -115238, -203404, -316448?\nAnswer: -454370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2441?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785885 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1008 + 1470. Suppose 9*u - 663 = d. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b**2 + 0 - b**2 + 2 - 2 + (2 - 2 + 2)*(1 + 2*b**2 - 1) + (-5*b + 3*b + b)*(b - 4*b + 2*b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50740?\nAnswer: 2, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x - 21. Determine d(10).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/13 (b) -4 (c) -3 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93256484 - 0.3.\nAnswer: -93256484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 423 (c) 0.07 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10596 divided by -3\nAnswer: -3532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from qqqqqoqoqoqq?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.9 - 45. Let z = 1 + -5. Which is the closest to n? (a) -1\/3 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**2 + 2*l**2)*(5*l - 15*l + 35*l + (l + 4 - 4)*(1 - 4 + 2) - 5*l + 2*l + l).\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(117) - sqrt(117)) + 3 + ((sqrt(117) + 3 + sqrt(117))*6 + sqrt(117))**2)*-3 + -1)*5.\nAnswer: -301475 - 21060*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/7 + 634*d**4\/7 - 59470*d**3\/7 + 1217774*d**2\/7 + 23483184*d\/7 + 22205304\/7 = 0.\nAnswer: -11, -1, 53, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 - (-5 - -7). Let m(b) = 2*b**2 + 6*b + 5. Calculate m(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902798 (base 10) in base 8?\nAnswer: 7204316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/3*g**3 + 3 - 11*g - 3*g**2. List the prime factors of y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 15536213.\nAnswer: -6214485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 17*w - 12. Let z be (-6)\/33 - 114\/(-22). Suppose z*u = -3*x + 75, -3*u + u = 4*x - 44. List the prime factors of r(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1334\/5 - -266. Let f = 315 - 315. What is the nearest to 0.3 in t, f, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-0.037\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)*h*h\/(h*h*h**(-3)*h))**(-21) assuming h is positive.\nAnswer: h**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-8)*(13 - 5). Suppose 0 = z - 3*q - u, -3*q = -5 + 20. Suppose z*o + 6 = 0, -t - 11 = -2*t + o. 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 44132825 to the power of 1\/2, to the nearest integer?\nAnswer: 6643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29587569 and 957.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v + 10. Let p(h) = h + 1. Let a(z) = -10*p(z) + t(z). Let i(o) = 1313*o + 1322*o - 2 - 2619*o. Give i(a(f)).\nAnswer: -32*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15822 divided by 5274?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18887, -37768, -56649, -75536, -94435, -113352, -132293, -151264?\nAnswer: -170271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67590.46 litres to millilitres.\nAnswer: 67590460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f + 3154*f**3.\nAnswer: 3154*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 138.4, -0.3, 2\/11, -3, 6, -0.5 in descending order.\nAnswer: 138.4, 6, 2\/11, -0.3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**3 - 2*b**3 - b**3)*(b - 3 + 3) - b**4 - b**3 + b**3 + 0*b + 69*b**4 - b - 894*b**4 as s*b**4 + y*b**3 + u + m*b + v*b**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65046 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + -0.071. Let f(j) = -j - 5. Let h be f(-8). Which is the biggest value? (a) 0.5 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -154.1. Let q = 12 + d. Put 0.3, q, 2 in ascending order.\nAnswer: q, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7798 - -569259\/73. What is the common denominator of a and -45\/73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111659.9km to nanometers.\nAnswer: 111659900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -206, -308, -408?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37211 is divided by 5313.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 d when three letters picked without replacement from jxvajdmd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-1 - -3) + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -f - 1, -y = 4*f - 53. Let l = f - -31. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15803381 and 54593498.\nAnswer: 600528478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:08 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/12)\/((-28)\/(-6)))\/(8\/(-192)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*3\/((-30)\/4). Let c(i) = -i**2 - 4*i - 3. Let y be c(b). Let k = y - -18. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4880.\nAnswer: -2, 1, 4880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f - 18. Let k be r(3). Let g(h) = h + 5. Let i(q) = -1. Let y(d) = g(d) + 2*i(d). Calculate y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 19*b = 7*v - 182, b - 3*v = -78 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/(72\/(-96))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*o - 221 = -2629 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 477.3077 to one decimal place.\nAnswer: 477.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b = -175*b - 44 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 35. What is o(-48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b - 2. Let c(s) = 8*s**2 + 30*s + 26. Let w = 190 - 184. Let p(h) = w*i(h) + c(h). Determine p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, 9, 0 in decreasing order.\nAnswer: 9, 0, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/3 - h - 3. Let b(f) be the first derivative of s(f). Let x(w) = -3*w + w - 2*w + 2*w. Give x(b(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/5 + 9486392*m**2\/5 - 113836272*m\/5 + 341508384\/5.\nAnswer: -4*(m - 2371586)*(m - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 + 171*z - 9747\/2.\nAnswer: -3*(z - 57)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*y + 32320, -24631 - 7697 = -3*y - 3*l. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 4. Suppose -2*s = -o*s + 5. Is 17 a factor of (13 + -11)*(25 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 2. Calculate i(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 2, l: 5, p: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34094971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and 3 + 1\/12*-59.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**6 + 115*y**4 - 4*y**2 - 19*y - 381 wrt y.\nAnswer: 240*y**3 + 2760*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4)*(-134)\/(-4). Let o be 1\/((-6)\/399) - (-78)\/52. Are n and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**3 + 2391*a**2 - 169551*a - 85374 = 0.\nAnswer: -1\/2, 93, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -251+13805.62316\nAnswer: 13554.62316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0)*(-11)\/(132\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 6*i\/5 - 4\/5.\nAnswer: -2*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96 + -1)\/(0 - -1). Let k(c) = -c**3 + c**2 + 29*c + 72. Let d be k(-5). Suppose 4*p - g - d = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 8*v - 9. Let d be h(-6). Suppose -1 = -d*f + 2*f. Let x = 1 - f. Let n(i) = i**3 - i**2 - i - 8. What is n(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40099906*b**2 - 44738620*b wrt b.\nAnswer: 80199812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/6 - (-3)\/2. Put 1\/2, -5, p, -1\/4 in decreasing order.\nAnswer: 1\/2, -1\/4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*w - 20 = 0, -2*t + 6 = -2*w - 14. Suppose -2*v = -3*n - 35, -2*v - 4*n - 9 = -37. Solve -t*f = -f - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126908059 by 6.\nAnswer: 126908059\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 37*x, -3*b - 3*x - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**4 + 13*k**3 + 23*k**2 + 27*k + 4. Let d(j) = 14*j**4 + 38*j**3 + 70*j**2 + 81*j + 11. Let z(c) = -4*d(c) + 11*i(c). Find m such that z(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -502 in 5, 0.3, 0, -0.5, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 29*f + 25. Let p be j(-8). Let v(i) = 7366*i - 9. Is v(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3131*d - 2895*d - 3554*d - 12449*d + 740*d to the form g + p*d and give p.\nAnswer: -21289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -7\/2, -3, 3, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10 + 2*b**2 - 4 + 0*b**2 + 2*b. Let r be q(-6). Let l be (-80)\/12*r\/(-4). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 342, 2648, 8898, 21066, 41126, 71052, 112818, 168398?\n\"Answer: 329*p**3 - 2*p**2 + 9*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1302 and 7\/132.\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -3 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*9*((-28)\/12 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/((-6)\/36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 18*n - 47. Calculate y(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19974 - 7910. Let u = 12063.92247 - q. Round u to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 4*l - 430. Let j(k) = 4*k**3 + 3*k**2 - 4*k. Let u be j(3). Let g = u + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*l + 3*l + 38, -2*j = 2*l - 12. Suppose 0 = -d + 3, -3*u + l*d = 5*d - 15. Calculate the lowest common multiple of 7 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + a + 20 = 0, 15 = 6*v - 3*v + 4*a. Let s(p) = -2*p**2 + p**2 + p**3 + 2 + 5*p - 14. List the prime factors of s(v).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**3 - 3099*s**2 - 4659*s - 1554.\nAnswer: 3*(s - 518)*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -404, -418, -444, -488, -556, -654?\n\"Answer: -b**3 - 7*b - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 352?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 42*h - 20*h - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15867.07 - 15936. Round t to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:19 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 2, k: 2, u: 2, p: 1}. Give prob of picking 1 v, 1 p, and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 83798164352827\nAnswer: 83798164352829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -2098848.9069845.\nAnswer: -2098852.9069845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51669*t**3*y**2 - 1048363*t**3 + 4*t**2*y + 11*y**4 wrt y?\nAnswer: 103338*t**3 + 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m + 5. Let c = 1 + m. What is the units digit of 7\/(3\/1 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 388520.012 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 13*z - 5 + 3*z**2 + z - 35*z. What are the prime factors of a(21)?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33076591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 + 0.03. Let k = r - 0.78. Let t = 89 - 88.9. What is the nearest to k in 2, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 2*p**2 + 2*p - 5. Let g(n) = -2*n**3 + 2*n**2 - n + 4. Give 5*g(r) + 4*h(r).\nAnswer: -2*r**3 + 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.1, 5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14511 and -139.\nAnswer: -139.14511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15\/(s**(13\/2)\/s))**(-1\/29) assuming s is positive.\nAnswer: s**(-19\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2. Let u(t) = -10*t + 2. Let d(x) = 0 + 1 - 1 + x. Let c(p) = -6*p + 3. Let f(n) = -c(n) + 3*d(n). Let m(o) = -2*f(o) - 3*u(o). What is k(m(l))?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 48 - 19*x + 7*x to v*x + k and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 - l. Let n be k(-1). Let x be (0\/(n*(4 + -3)))\/(-2). Solve -3*t = -4*y - 2, x = -3*y - 0*y + 3*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**5 + 14*x**5 - 9*x**5 + (-2*x + x - x)*(-x**2 + x**2 + x**4) - 2*x**5 - x**5 + 2*x**5.\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 120. Let a be o(0). Let u be (12\/(-15) - 0)*(-5 + -25). What is the greatest common factor of u and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -77, -85, -93?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.95 + 535.95. Let t = c + -532.00411. What is t rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 54*f - 125. Solve -3*o - f*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -169, -249, -305, -331, -321, -269?\n\"Answer: x**3 + 3*x**2 - 114*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(3\/(-1))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -29. Suppose 2*q = 4*k + 20, 0 = -3*q - m*k + 15 + 15. Solve -g + q = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*k + 55, -a + 2*k + 13 = -5. Calculate the lowest common multiple of (a\/(-6))\/((-6)\/27) and (-1)\/(-1*2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 755970 divided by 251990\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5477 = -4*i, 3*t - 549 = -2*i + 2192. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*o + 11, v + 4*v + 26 = o. Let l(a) = 3*a + 74. Let d be l(-24). Put d, v, -3 in increasing order.\nAnswer: v, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1287.5 - 1287.500097005. Round o to 6 dps.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88659271.\nAnswer: 1579, 56149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**4 - 5*c**2 + 1468.\nAnswer: -36*c**3 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(2 - 66\/36). Suppose -2*j + 84 = z*j. Suppose -648 = -j*o + 5*o. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 2*d. Suppose x - 2*x = -4. Let f = -8 + x. Let u(p) = 3*p**3 - 5*p. Calculate f*u(a) + 10*n(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**6)**(-2\/23)*(x**(-5)*x*x**(-1\/6))\/(x**(2\/5))**(1\/2) assuming x is positive.\nAnswer: x**(-3253\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29431 - -45?\nAnswer: -293ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 2*s**2 - 4*s + 2. Let d be i(2). What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -29 + 7*r**2 + 4*r + 44 - 18. What is the units digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.1, 0, 16, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -92*36\/108\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:25 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Let z = -6 + 5.5. Let p = 0.55 - 0.25. Which is the nearest to 1\/3? (a) z (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 21, -12\/29?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239597527, 239597526, 239597525?\nAnswer: 239597524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -24.71731, -2\/9, -0.3, -2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3\/2 (b) 1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 5*h + 5*w, -4*w + 192 = -5*h + 16. Let b = 39 + h. Solve -p = 4*f - 19, b*p - f + 5*f = 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287221, 574409, 861597, 1148785?\nAnswer: 1435973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-590)\/(-348) - 4\/(-24) - 2. Are l and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 + 10 = 0. Let t be ((-24)\/10 + z + -3)*10. Suppose b + 15 = t*b. Solve 2*w - 5 - b = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 55 = -5*k. Let b(m) = m**3 - 9*m**2 - 10*m + 12. What is the tens digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k + 14. Suppose -5*b + 19 + 36 = 0. Suppose 1 + b = -4*d - 3*s, 0 = -5*d - 2*s - 8. Sort k, 4, d.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 6*z**2 - 2*z + 7. Let b(u) = -u**3 - 9*u**2 + u + 3. Let f be b(-9). What is the tens digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(304) - -1*sqrt(304)*3)**2.\nAnswer: 64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 14*q - 45. Let y be g(17). Solve h - 4*h = -y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - w + 6. Let i be (-14)\/(-35)*(-30)\/(-2). Let c(o) = -3 - 4 + 6. Let f(b) = i*c(b) + p(b). Find the second derivative of f(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 2 j when four letters picked without replacement from {f: 3, x: 4, n: 6, j: 6}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = -2521. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 88 = 2*i. What is the common denominator of ((-1)\/(-3))\/(i\/42) and -89\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (13 + -17)) + -23.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -9, -0.1, 1\/713, 1\/5?\nAnswer: 1\/713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*s - 646, 9*k - 5*k - 2*s = 876. List the prime factors of k.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2 + 0*z**2 + 3\/5*z**5 + 0*z**4 + z**3 + 0*z. Find the third derivative of q(c) wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 3.7. Let u = g - 1.88. Which is the biggest value? (a) -5 (b) -3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/9, -11, -2, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33, -24, -105, -204, -315, -432, -549, -660?\n\"Answer: p**3 - 18*p**2 - 10*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 6\/5*j**2 - 2\/5*j**5 + 0*j - 14\/5*j**3 + 0.\nAnswer: -2*j**2*(j + 1)**2*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 31*i - 25 = 0. Suppose 17 = -i*l + 62. Solve 4*a = l + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (14 + (-7 - -4) - (-1 + -24)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 584 + 2440 = 0. Let z = -3 - -115. Calculate the greatest common factor of z and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-8) - 2)*-116. Suppose -4*n + 2*n = -q. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 6*r - 6*r + 7*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/23 or -16654?\nAnswer: -16654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {k: 1, q: 2, p: 2, j: 1, a: 4, u: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 46*b - 574. Let v be f(15). Which is smaller: v or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107398584 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200) + (sqrt(200) + sqrt(200) + 1*sqrt(200) + sqrt(200))**2 + sqrt(200)) - (-5 + (0 + sqrt(200))**2).\nAnswer: 40*sqrt(2) + 6205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -198719127699?\nAnswer: -198719127698.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h + 49\/4*h**3 - 189\/16*h**4 + 43\/20*h**5 - h**2 - 85 - 27\/28*h**7 + 27\/224*h**8 + 81\/40*h**6. Find c such that x(c) = 0.\nAnswer: -1, 1\/3, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.47919 + 7.57996. Let n = -7.164 - -0.064. Let s = j + n. What is s rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 36 + 8 = -2*k, -36 = 3*k - 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*a + a = 23, 3*a = -12. Let z be ((-25)\/(-15) + k)\/(2\/(-6)). Let o be z\/(-6) - (-121)\/(-3). Put o, -2, -4 in decreasing order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -2*s, -3*s - 8 + 17 = -k. Solve -2*f + 2 = -8, b + 10 = s*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10142871 - 4907129. What is n rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8 + 22904*c - 4 - 22882*c - 6. Let x(n) = -1. Give a(i) - 4*x(i).\nAnswer: 22*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-1060)\/30 + 0)*-65799. Round t to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynzklyyzllzzkzooloz. Give prob of sequence zz.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880 divided by 110.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaqxx. Give prob of sequence qaxx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8094880 and 13960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 11*s - 3. Let c = -2 + 5. Suppose -3*k - c = -27. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401796 divided by -6.\nAnswer: -66966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 3*i**3 + 0*i**3 + 6*i**4 + (4*i**3 - 2*i**3 - i**3)*(3*i - 2*i + 0*i).\nAnswer: 4*i**4 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01988941 rounded to 4 dps?\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -540 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71689691 - -181928?\nAnswer: -71507763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -498223.26?\nAnswer: 498223.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**5\/60 - 5*c**4\/24 + 13*c**3 + 38. Let w(r) be the third derivative of h(r). Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -91*m**4\/3 + 125*m**3\/2 - 24*m - 8. What is the second derivative of c(t) wrt t?\nAnswer: -728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 12 = 5*l, 2*o + 4 + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*v - 31, 11 + 1 = 4*r + 4*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose g + 1 = 2*r - 10, h*r - 21 = 3*g. Let y(t) = -t**3 + 4*t**2 - 2*t + 2. What are the prime factors of y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 4. Let l be f(8). Let g be 2\/l - (-14)\/4. Let h(u) = 6 - 3 - 53*u + 54*u. Calculate h(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/90 + (-22)\/(-12). Determine r, given that 3\/2*r + 0*r**3 + 3*r**4 - 3*r**2 - p*r**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2461*s - 2459. Let u be k(1). Put -10, 1, -4, u in decreasing order.\nAnswer: u, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807037 divided by -549?\nAnswer: -5113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vergaep. Give prob of sequence vp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 547*d - 640*d + 0 + 3 as z*d + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/13)*k)\/k**(2\/19)*(k\/(k**(-2\/7)*k))**(1\/26))\/((k**(-2))**(-1\/9)\/(k**(-1)*k)**(-35)) assuming k is positive.\nAnswer: k**(1831\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = 2*z + 3*z, 5*z + 5 = d. Let r be z\/(-1 + 102\/108). Suppose -7*v = 2*v - r. Is 17\/8 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 5. Determine h(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + -3?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 3. Let v be b(-4). Let h(o) = -o + 7. Let p be h(v). Differentiate -3 - z**p - 1 + 5 wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(16\/(18\/(-9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -906824, -906907, -906986, -907061?\n\"Answer: 2*v**2 - 89*v - 906737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + -15 - (-88 - -8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -157.04. Is x greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 384312228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -27*f + 48. Let q be (1 - -1)\/(121\/(-22) - f). Solve -4 = 4*l, -2*d + 4*l = -0*d + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/253 and 21\/140422636.\nAnswer: 1544648996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**5 + 417 - 210 - 208 + (2 - 2 + 2)*(7 + 15 - 7)*(-2 + 2 - n)*(-n**4 + n**4 - 2*n**4).\nAnswer: 72*n**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*u - 11 = 0, -169*g - 8 = -165*g - 4*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 311*s - 6. Let a be r(2). Let x = -55 + 307. Suppose q = -4*o + x - 60, -3*q - 2*o + a = 0. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -264, -262, -260, -258, -256, -254?\n\"Answer: 2*r - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2b28c4 (base 14) to base 11\nAnswer: -939083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51903, 207609, 467119, 830433, 1297551?\n\"Answer: 51902*v**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.02, -1, -1\/4 in decreasing order.\nAnswer: -0.02, -0.06, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751390655.\nAnswer: 3, 5, 7, 16679911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41181490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + z. Let j(s) = 9*s**3 - 4*s. Let c(m) = 6*j(m) + 17*t(m). Find the second derivative of c(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 + 965\/4. What is the nearest to 2 in 3, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n. Suppose -2*m + 8*m - 234 = n. What is the greatest common factor of m and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27908 (b) -3 (c) 0.6 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42691559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99430 by 19886.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vjjbttxl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -8. Suppose 0 = -5*z + y + 6. Suppose -5*w + 2*w + 14 = i, 3*i = -2*w + 56. Solve u = 5*u + i, 0 = 3*g - z*u - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z**3\/3 + 69905*z**2\/3 + 7907612*z\/3 - 99500 = 0.\nAnswer: -1194, -125, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.777 + -0.223. Put 0.03, 5\/4, o in descending order.\nAnswer: 5\/4, 0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2136666*i*n**2 + 2*i*n*y - 3*n**2*y - n*y + 678*n - 8*y - 7 wrt i.\nAnswer: -2136666*n**2 + 2*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h + 6. Let y be j(7). Let z = y + -3. Solve -p - z*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 11*t**2 + 16*t + 53. Calculate g(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 562 (b) -8 (c) -5\/6 (d) 9\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(((-2)\/4)\/(5\/20)). Suppose 17*m = 22*m + z. Let c be m + 4 - (-2 + -21). What is the greatest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 15. Is v(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 472, 836, 1200, 1564, 1928?\nAnswer: 2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -19*w**6\/6 + 3*w**2 + 4. Find the second derivative of a(k) wrt k.\nAnswer: -380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f**2 - 317*f + 2097. Calculate g(6).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.018*28637\nAnswer: -515.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*q + 145*q - 11 = c - 2, 4*q = 4*c + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 286*k**2 - 334*k - 116. Calculate w(56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34503, 34504, 34505, 34506, 34507?\n\"Answer: i + 34502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52, -68, -30, 92, 328, 708, 1262?\n\"Answer: 5*i**3 - 3*i**2 - 42*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12bb (base 15) in base 7?\nAnswer: -14444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4327*k**3 - 3*k*n**3 - 324*n**3 - 34*n + 1 with respect to k.\nAnswer: -12981*k**2 - 3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 17. Let k = -18 + a. Let g be -1 + 882\/225 - 3. What is the third smallest value in g, -2\/5, k, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 26 + 297\/2*q**2 + 3\/4*q**4 - 19*q**3 - 243*q. Solve r(h) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 134, 36?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.43 - 21.73. Put 21, h, 0.1 in descending order.\nAnswer: 21, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032.046cm to meters.\nAnswer: 30.32046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1497, -1496, -1495, -1494?\n\"Answer: h - 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 72312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89120990.\nAnswer: 2, 5, 7, 1273157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 133. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84574 and 2066022?\nAnswer: 14462154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 y, and 1 t when four letters picked without replacement from tjjjjjjjjjjytj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62253.\nAnswer: 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7427 - -16415?\nAnswer: 23842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**2 - 4 + 5*g**2 - 45*g**3 + 4*g**2 - 16*g + 44*g**3 - 5*g**2. Let x be k(8). Put x, -2\/3, 13, -3 in descending order.\nAnswer: 13, -2\/3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899169 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 103, 219, 341, 469?\n\"Answer: 3*u**2 + 101*u - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**3\/3 - 6. Let y(u) be the second derivative of u**3\/2 - u. Give d(y(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 2268*g**2 + 518175*g + 31822854.\nAnswer: 3*(g + 98)*(g + 329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -190\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 266\/42 + -5 - 2. Which is the third smallest value? (a) 8 (b) 2\/57 (c) 0.5 (d) h (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*b - 2)*(-2 + 2 - 2*b) + (-5*b + 4 - 4)*(0 - 5 + 2)*(43*b - 91 + 91) to s*b**2 + y*b + z and give s.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-21)*-31*(437\/184)\/(-19).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Suppose -1 = -g + 2. Let r(i) = g*i**2 - 2*i**2 - 2*i**2. Calculate r(d(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -143.58*-2545\nAnswer: 365411.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 5. Let h(b) = 3*b - 4. Let y be ((-12)\/18)\/((-4)\/(-18)). Let c be y*2\/(0 + -2). Give c*h(p) - 2*f(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2*-5)\/((1*sqrt(110))\/sqrt(11)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 29*l - 28. Let v be w(30). Which is the closest to -2? (a) v (b) -3\/4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -17 - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k + 48. Let t = k + 13. Suppose 0*n - 20000000 = -t*n. Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/2 + 163*g**4 - 494*g**3 - 163*g**2 + 987*g\/2 = 0.\nAnswer: -329, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 3. Let o be h(4). Suppose -2*g + 30162*m = 30160*m + 12, -3*g + 32 = 2*m. Sort g, o, -3, 27 in ascending order.\nAnswer: -3, g, o, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4971916?\nAnswer: 2, 1242979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -577.\nAnswer: 2\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10354177 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 8*w = 405. Suppose w*y = -12*y + 57681. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.5, 0.2, -1\/6, 2156513?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20888 - 20885. Let n = -2768\/17 + 163. Which is the closest to n? (a) 2\/5 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 13 - 1\/2*m**4 - 71\/3*m**3 - 61\/2*m**2 + 0*m. What is the second derivative of z(p) wrt p?\nAnswer: -12*p - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.1, 1\/2, 0.021 in increasing order.\nAnswer: -0.05, 0.021, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*d + 19 + 8, -c + d - 1 = 0. Let i be (-824)\/40 + 4\/(-10). Let n be ((-96)\/i - -2) + 8\/(-14). Solve -n = c*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**6\/60 + b**4\/4 - 2*b**3\/3 + 3*b**2 - 4*b. Let t(u) be the first derivative of p(u). Find v such that t(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, m: 4, g: 4, u: 1, o: 1}. What is prob of sequence gug?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (-1 - -2) - (7 + -5 + -12)) + 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**41*w\/(w*w\/(w**(-13\/4)\/w)) assuming w is positive.\nAnswer: w**(-181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 - 25*r**3 + 2233*r**2 + 2257*r = 0. Calculate r.\nAnswer: -61, -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*y + 4417 - 4417)*(-y**3 + 2*y**2 - 2*y**2).\nAnswer: -151*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 60*u = -23888 - 21808. Do u and -713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -151, -1 in descending order.\nAnswer: 3, -1, -4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.96 - 32.06. What is the biggest value in -4\/111, -0.3, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.7 - -69.7. Put 3\/7, 50, x in descending order.\nAnswer: 50, x, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2 = -3*y, 36 = 4*k + 5*y + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -823812556*z**4 + 64843*z**2 + 6*z.\nAnswer: -19771501344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 4)*(-1 + 2 + 1) + 28 - 67 - 37)*(3*m**3 - m**3 - m**3) as l*m**3 + p*m**2 + n + o*m and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 123.33.\nAnswer: 246.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-110*m + 110*m + 1407*m**2).\nAnswer: 2814*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 12 (b) 2\/9 (c) 1339 (d) -5 (e) -29 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-248))\/(1*(-2)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 6. Suppose 0 = 29*d - 165 + 78. Let k be (3\/(-6))\/(2\/4). Put s, k, d in ascending order.\nAnswer: k, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 205\/24*n**4 - 17\/210*n**7 - 6*n + 0*n**5 + 0*n**3 + 0 + 0*n**6 + 3*n**2. Find the second derivative of j(i) wrt i.\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2004 - 1223. Suppose c + 4*v = 1800, 5*v = -c + 1014 + b. What are the prime factors of c?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 19 - 7. Let n = -1 - b. Is 1 + n - -71 - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66292*j**3 - 14*j**2 + 300*j.\nAnswer: 397752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16325 + 4763*o**2 - 7*o - 9790 + 7*o with respect to o.\nAnswer: 9526*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.8443548 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3071 = 2*n + 263, n + 2236 = -4*s. Round s to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3))\/sqrt(2) + sqrt(75) + 1 - (sqrt(6)\/sqrt(2)*-6 + -2) - (3 + (sqrt(189)*-1)\/(-1*sqrt(112)))**2.\nAnswer: -123\/16 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))\/j)**12\/((j*(j**3*j)\/j*j)\/(j\/j**(-1))) assuming j is positive.\nAnswer: j**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/148 and -145\/18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -0.2, -6, 1\/155?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 685, 1366, 2035, 2686, 3313, 3910, 4471?\n\"Answer: -y**3 + 688*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 6, q: 2, u: 1, f: 2}. Give prob of picking 1 q and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -258*p**3 - 2*p**2 - 2*p - 1. Is w(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1, -0.9, 1\/3, 0.2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*u**4 - 2*u**2 - 15*u**2 + 4*u + 177*u**4 - 7*u**2 + 21*u**3 = 0. Calculate u.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 2, z: 9, k: 2}. Give prob of picking 1 k and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3528 and 113\/612.\nAnswer: 59976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:48 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*t = 163*t + 2*w + 13, 3*t = -7*w - 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -16.\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1817\/6 + 300. Let t = s - -27\/10. Let d = -0.29 + -0.11. Sort -0.5, d, t in descending order.\nAnswer: t, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175813570 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 2838227?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(2)*4)\/((sqrt(15)*1)\/sqrt(3)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 0*b**4 + 4*b**4 + (20*b**2 - 8*b**2 - 14*b**2 - 9)*(9*b**2 + 15*b - 15*b).\nAnswer: -16*b**4 - 81*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62823, -251314, -565463, -1005264, -1570711, -2261798, -3078519, -4020868?\n\"Answer: x**3 - 62835*x**2 + 7*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -37*i**2 - 4*i + 4. Let x(f) = 110*f**2 + 11*f - 11. Determine 11*t(s) + 4*x(s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -388 + 377.27. Let v = i + 1.33. What is v rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 50*b**2 + 91*b - 235. Determine c(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10) + 56\/40?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - 10*l - 9. Give j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/4 + 0)\/(2\/(-24)). Let t be (-1 - a)\/((-5)\/(-10)). Determine x, given that -14*x + 5*x**2 - t - 14*x + 4*x**3 - 13*x**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/54 and 36.030471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3.2383337+20291\nAnswer: 20294.2383337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -0.4, 3\/5, 27 in ascending order.\nAnswer: -2, -0.4, 0.4, 3\/5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 68 = 2*s, 2*p - 44 = -0*p - 4*s. Suppose -26 = -16*c + 6. What is the units digit of (5\/c)\/(3\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/418*196973\/(-300643).\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 7\/3*c**3 + 3 - 18*c - 3*c**2 - 2\/3*c**4. Factor s(a).\nAnswer: -2*(a - 1)*(4*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - 151. Find the second derivative of 95*b - 47*b - 70*b - 5*b**3 - g wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 plus 0.71?\nAnswer: 28.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 12 in increasing order.\nAnswer: -4, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.165091 times -0.1\nAnswer: 0.0165091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2 + 2 + sqrt(275) - (-2*sqrt(275) + sqrt(275))*3)**2 + -3.\nAnswer: 200*sqrt(11) + 6888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3413748699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 + 1. Let d = 3 + w. Let t = -5 + d. Which is the closest to -1? (a) -0.4 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018337 is divided by 101833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13 (b) -1.1 (c) 103909 (d) -0.3 (e) 0.2 (f) -0.4 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f + 5. Let t be x(0). Suppose 50 = 3*d + l - 3*l, 2*l - 62 = -t*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 5*y**2 + 2*y + 1. Let t be n(-4). Let l = t + 252. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + -3 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72) + -1) + (0 + sqrt(72))*-5 + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*g - 10*g - 14*g)*(2*g - g**2 - 2*g + (-3 + 3 + 2*g)*(-5*g + 0*g + 4*g) + g**2 + 0*g**2 - 3*g**2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000012200 (base 3) to base 13.\nAnswer: 904b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*a - 26, 2*a - 16 = -a + g. Let u(c) = -4*c - 3. Let m be u(-2). Is m less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 15. Let q = 4 + -2. What is the third derivative of q*l**2 + l**c + 0*l**3 - 2*l**3 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 369 (b) -22 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from jooyeuyyvyej?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -174.2954 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(-6 + 3 + 4)*(-2*p + 2*p + p)*(-2*p - 14 + 14).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 20 = 5*q. Suppose -2*b + 5 = -q. Suppose b*o + 4*y - 161 = 0, 3*y - 61 = -2*o - 2*y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170213149\/23988 - 2715\/3998. Let b = t - 7102. Calculate the common denominator of (-36)\/(-24) - 37\/47 and b.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**6 + 14*b**5 - 356*b**3 + 9669*b**2 + 2*b + 2.\nAnswer: -360*b**3 + 840*b**2 - 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*o**2 - 74*b**2 + 47*b*o**2 + 47*b*o - o**2 wrt o?\nAnswer: -8*b**2 + 94*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-108)\/(-450)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -3\/4, -6, -1\/20, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 70. Let l = q + -29. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h\/((((h**(5\/2)\/h)\/h*h)\/h)\/h)))**(3\/25)\/((h*h*h\/(h**(-3)\/h)*h**6)\/(((h\/(h**(6\/7)\/h))\/h)\/(h\/h**(-4)))) assuming h is positive.\nAnswer: h**(-6439\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -112. What is x in 2\/5*x + 2\/5*x**u + 4\/5*x**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 57 = -7*h, -2*o = 2*h + 19 - 31 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 40.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 137*a**2 + 62*a + 168. Let k be m(-6). What is the greatest common divisor of k and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c - 1207. What is v(52)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1913092*2\nAnswer: -3826184","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 6606023 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-6045)*65*162\/(-2)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 6. Let a(m) = -m**4 + 3*m**3 + 3*m**2 + m + 2. Let y(r) = r**4 - 2*r**3 - 3*r**2 - 2*r - 2. Let i(d) = h*a(d) + 4*y(d). Factor i(j).\nAnswer: (j - 2)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43899 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100101101001 - -101?\nAnswer: 10011100101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/3637 - -243859\/109110. Find the common denominator of ((-14)\/15)\/((-22)\/20) and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3933.1 - -3751. Let r = m - -182. What is the fourth biggest value in -2\/5, -8, r, 3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 77 + 22. Let i be (-28)\/154 - (270\/c)\/3. Which is greater: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 71?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4214, -4224, -4258, -4316, -4398, -4504?\nAnswer: -4634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2149*k**2. Let v(j) = -55*j - 2. Give h(v(s)).\nAnswer: 6500725*s**2 + 472780*s + 8596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290427172.\nAnswer: 2, 3, 11, 1927969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*f + 723*f + 494*f + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*b + 8*b**3 + 151*b - 13*b**3 + 4*b**3 to the form n*b + r*b**2 + o + v*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417\/(-330) + (-136)\/1360 + 11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13793, -13817, -13841, -13865?\n\"Answer: -24*q - 13769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13067 rounded to 3 decimal places?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1386.58 from 6516.\nAnswer: 5129.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32974, 65785, 98596, 131407, 164218?\nAnswer: 197029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1060 and -61\/15188.\nAnswer: 4024820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2299\/55 + (-6)\/9 + (-232)\/(-60) + -4\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/w*(((w\/(w**3\/w)*w*w)\/w)\/w)\/w*(w\/w**6)\/((w**6*w)\/w*w)*(w\/w**2)\/(w**1\/w)*(((((w\/(w\/w**0))\/w)\/w)\/w)\/w)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 2 (b) 0.5 (c) -1 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155143 or 154903?\nAnswer: 155143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64978 * 1294.\nAnswer: 84081532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(65)*1 - (sqrt(65) - ((sqrt(65) - (-2*sqrt(65) + sqrt(65))) + sqrt(65)))*3)\/(sqrt(25)\/(sqrt(20)*-2))*-3.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5203 = 8*r + 1405. Let f = 479 - r. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99 (base 13) to base 2.\nAnswer: 1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 96 = 2211*k - 2215*k, -2 - 94 = 5*x + 14*x - 4*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1181.2 + -1181.1. Let h be ((-2)\/(-16))\/((-2)\/6). Let m be (-1)\/(-2) + 65\/(-170). Which is the nearest to h? (a) 4 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-12)*-3)\/((176\/11)\/16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g + 41. What is the lowest common multiple of v(-4) and 0*1\/1 + 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3625984 to 4 dps.\nAnswer: -0.3626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 497, 1002, 1517, 2042?\n\"Answer: 5*p**2 + 490*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14607, -29214, -43821, -58428?\n\"Answer: -14607*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35022796523654\/4190507306755 - 11\/608068970. Let l = j + -1\/1969. Find the common denominator of l and 13\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1494815, -1494827, -1494839, -1494851?\nAnswer: -1494863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1517225543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741618 is divided by 1130.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6bee2c6 - 3?\nAnswer: -6bee2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -71 - (-10 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((2\/(-10))\/((-282)\/15)). Does 8 divide s\/((96\/(-18))\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31983400 rounded to the nearest 100000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3416 - -112?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3599400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40199\/2 or 20100?\nAnswer: 20100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-10))*(k**(-5\/3)*k)\/k)**(2\/5) assuming k is positive.\nAnswer: k**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -316*t + 946. Determine q(4).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -1685, -5530, -13025, -25388, -43837, -69590, -103865?\nAnswer: -147880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -4, 1, 9, -1, 41 in descending order.\nAnswer: 41, 16, 9, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let m(j) = 128*j**2. Calculate p(m(f)).\nAnswer: -16384*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(77)*1*4 - sqrt(77))\/(sqrt(33)\/sqrt(3)*6) + -3*(4 + 0 + sqrt(7)) + -3)**2.\nAnswer: 50*sqrt(7) + 575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 33127 (b) -0.5 (c) 0 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/14)*v**17)**39)**(-48) assuming v is positive.\nAnswer: v**(-223704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 1. Let p(i) = i. Let u(t) = -c(t) - 4*p(t). Let o = -14 - -22. Calculate the least common multiple of u(-3) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 238. Let y(a) = -2*a**2 + 4*a. Let v(o) = -o**2 + 3*o. Let s(r) = -4*v(r) + 3*y(r). What is b(s(i))?\nAnswer: 4*i**4 - 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 49. Suppose r = 4*o - 3*o. Let p = o + -35. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33075 is divided by 3790?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*-7771200\nAnswer: 2253648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154485?\nAnswer: 3, 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Suppose -5*d + 18 = s. Factor 1\/3*y**2 - 1\/3*y + 0 - 1\/3*y**4 + 1\/3*y**d.\nAnswer: -y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270008 divided by 62?\nAnswer: 20484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z - 7. Is s(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let o = -12 - r. Let k = o + 7. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 - -4.802. Let h = 0.052204 - -0.045633. Let u = h + g. What is u rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15707 - -15708. Let m(o) = 21*o - 14. Calculate m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2. Let h = -1 - -4. Let q(j) be the first derivative of -4 - j**2 - 1 + h. What is q(m(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 r when four letters picked without replacement from rjrjrrrjrjr.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*c + 1 = 17, c - 6 = -2*q. Suppose q = 4*u - 3. Put u, -1, 0 in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.1, -0.27, -19, 6\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/330 - 13*j**4\/33 - 36*j**3\/11 + 33*j**2. Factor n(v).\nAnswer: 2*(v - 54)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12326194, -12326196, -12326198, -12326200, -12326202?\n\"Answer: -2*l - 12326192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 608.4 + -596.4. Sort -3\/2, -2, f, -0.22.\nAnswer: -2, -3\/2, -0.22, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -222 + -a0?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-14))\/(-2))\/((-4)\/(-112)*212)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + 3 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**3 + 7*c**3 + 4*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 2*k + 1. Give z(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((28\/(-140))\/(4\/(-90)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045246808 to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {e: 1, x: 9, l: 1, d: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 621040 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 943 by -41.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 51. Let z(q) = q**2 + q - 1. Calculate the remainder when z(2) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-175) - (-1)\/5*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 1\/11*j**3 + 0 - 1\/231*j**7 - 1\/55*j**5 + 1\/55*j**6 + 5*j - 1\/11*j**2 - 1\/33*j**4. Determine r so that k(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(4410\/(-1250)) + 2)*3. Which is the smallest value? (a) -3 (b) p (c) -0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -743371.9 + 743334.89911. Let x = -37 - u. What is x rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 50*t**2 + 48 - 108*t**2 + 58*t**2 - 199 - t**4 to a*t + w + q*t**3 + n*t**4 + v*t**2 and give w.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - d + 14. Let l be a(0). Calculate the highest common divisor of 238 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 11. Let i = -269\/1419 - -1\/129. Put i, -1, f in ascending order.\nAnswer: f, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21107 + 21168. Solve -1 = s*d - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14784 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, -0.3, 0, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6539 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: Let h(i) = 85*i - 104. Is h(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17139, 34266, 51331, 68340, 85299, 102214, 119091, 135936?\nAnswer: 152755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 7. Let m = l + -18.945. Let c = -0.0416 + m. Round c to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 l when three letters picked without replacement from {h: 7, q: 1, x: 1, l: 5, d: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.4, -3\/7, -2\/21, 0.0958, -28\/3, 79?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least as big as 181457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5408500 and 108170.\nAnswer: 5408500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 p when four letters picked without replacement from pescscczepcpczs?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56479182 + 56479187 - 112958369 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 7*c - 5. Let w be b(9). Let t = w - 9. Calculate the smallest common multiple of 6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -6*u + 88. Calculate the lowest common multiple of u and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 9*x**2 - x + 18. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 159625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/14)\/((-8)\/28). Let m = -5.016 - -0.016. Which is the closest to 0.1? (a) l (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18566 divided by 43\nAnswer: -18566\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/(-50))\/(-3*(-6)\/45)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145 - -265 - 116) + (-6 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o*o\/(o\/(o**7*o))*o))\/o)\/(o**(1\/20)\/o))\/((o*o**(-1\/18)*o)\/o**(2\/47)) assuming o is positive.\nAnswer: o**(-92653\/8460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010799999 rounded to 7 dps?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*m - 9440 = 0, -1413 - 943 = -a - 2*m. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171\/8, 0.05, -107, -143 in ascending order.\nAnswer: -143, -107, 0.05, 171\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921.954 milligrams to kilograms.\nAnswer: 0.000921954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -140*s**3\/3 - 556*s + 307. What is the derivative of m(d) wrt d?\nAnswer: -280*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/1270 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 + -310?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0.18. What is the closest to -1 in 5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 2562*q - 623*q + 2*q**2 - 7 + 17.\nAnswer: 2*q**2 + 1939*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Let d be (-318 - l)*(-2 - -1). Suppose -j + 3*k = -2*k - 152, -2*j + d = 3*k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*v = 101, 66 = -2*b - b + 3*v. Let p be (20 + b)*((1 - 2) + 1). Suppose p = 3*o + 4*o - 119. What is the highest common factor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43732, 3189, -4 in ascending order.\nAnswer: -43732, -4, 3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 131 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from ppfpppffppppfcfcff?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**2\/2 + 33*b\/2 + 15.\nAnswer: 3*(b + 2)*(3*b + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 135956 and 135916 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(1 + 2 - 4) - 23 - 6 - 12)*(-2*l + 0*l + 0*l)*(22*l**3 - 176 + 176).\nAnswer: 1892*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1, -159420, 2.\nAnswer: -159420, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m - m. Is (m - 830\/4)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/5)\/(-7) + 21681\/(-5913).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5412 + -5379. Calculate the lowest common multiple of 2772 and b.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.04, -0.2, -0.21007?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**3 + 242*d**2 + 81*d + 31. Give o(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5*h**3\/3 - 3*h**2 + 7*h - 37. Suppose -15 = -2*v - 3*v. Is f(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014828389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17524*n - 1842. Let h(d) = -2*d. Determine x(h(t)).\nAnswer: -35048*t - 1842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 231, -5, 0.3, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(-5)\/q))\/q)*q*q**(3\/2))\/((q*q\/(q\/(q**1*q))*q*q)\/(q*q**(-4)*q*q))*q*q**(-3)*q**2*q**(-1\/4)*(q\/q**(-1\/2))\/q*q assuming q is positive.\nAnswer: q**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 - 14*y**3 - 3*y**3 + 0*y**3 - y**3 + 0*y**3 + (0 + 0 - y)*(2*y**2 - y**2 + y**2) + y**2 - y**2 - 2*y**3)*(0 + 0 + 1)*(-y**2 - y**2 + 4*y**2).\nAnswer: -52*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/8 - d**3\/3 + 6*d**2. Let k be 2\/(-3)*-12 + -2. Let b be t(k). What is the highest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37606 - 18496. Let o(u) = -16*u**3 - 12*u**2 + 8*u + 6. Let w be o(8). Let h = f - w. Round h to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -l, a + 0*l = 2*l + 1. Let s = 3 - a. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 2, 0, 0.5 in ascending order.\nAnswer: -1\/10, 0, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = -253*d - 220. Put 0, 9, 5, d, 2\/7 in descending order.\nAnswer: 9, 5, d, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/13))**(5\/3)*((g*(g**(-2\/13)\/g*g)\/g*g*g)\/g)\/(g\/g**(2\/35)) assuming g is positive.\nAnswer: g**(568\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**4\/13 - 22*b**3\/13 + 122*b**2\/13 - 122*b\/13 + 28\/13 = 0.\nAnswer: -7, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(33)\/sqrt(3)*5 - ((sqrt(891) - (sqrt(891) + 0)) + sqrt(11))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62 - ((-1)\/1)\/(-1). Let k = 128 - v. Suppose -4*o = -89 - k. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44384231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 7)*(4*b - 4*b - 2*b + (b - 2*b - b)*(-1 + 2 + 0)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211 (base 6) in base 2?\nAnswer: -10101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.556876 litres to millilitres.\nAnswer: 3556.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -5, 7, 29, 61, 103, 155?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 + 3*r - 4. Let s(a) = -22 - 2*a + 25 + 4*a**2 + 0*a. Let p(d) = 2*d + 7. Let n be p(-5). Calculate n*s(b) - 2*u(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 5)*(0*r - 5*r + 3*r) + 5 + 0 + 5634*r - 710*r - 127*r - 5 as d*r + j and give d.\nAnswer: 4795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0439 - -0.1561. What is the closest to -1\/4 in 10\/3, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 2*u + 2. Let p be x(-2). Suppose 5 = t - 0. Solve -h = -p*h + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3554728 is divided by 6644.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 200 + 56 = 4*s, 4*s = -5*w + 323. What is the remainder when 195 is divided by w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-111)\/(-99))\/(2824\/11454). Let s = b + -3\/1412. Calculate the common denominator of -9\/5 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761341 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: Let t = 19762 + 151. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 8*o**2 + 6*o - 5. Let z be 46\/(-6) + (-14)\/(-21). Let m be l(z). Factor 2\/3*w - 2\/3*w**3 - 2\/3 + 2\/3*w**m.\nAnswer: -2*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -757, -225, -4, -3 in increasing order.\nAnswer: -757, -225, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -27 + 26 + 3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 + 4*u**2 - 232 - 7*u**2 + 232.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.9 and 47.\nAnswer: 512.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l*l**(-21)\/l*l assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z - 58. Let x be p(10). Is x\/3 - (-19836)\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 16 + 16 + t**2 - 6*t + 6*t - 4*t**2 + (2 + 2 - 3)*(-3*t**2 + 6*t**2 - t**2).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 98. Suppose -5*h + 5*v + a = 0, v - 27 = -5*h + 14. Let q be -2*(-1)\/h*-3. Put 5, q, 0.4 in ascending order.\nAnswer: q, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164849 or 164851?\nAnswer: 164849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 5*f - 38. What is m(8)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/3, -6, -5, 0.3, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2673218 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 96 = -4*s, -3*s + 85 = 4*d - 0*s. Let q(r) = r**2 + 3*r + 2. Let m be q(-2). Solve m = y - 8 + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 9. Suppose 83 = -5*d + 4*i, -2*i + 54 = -3*d - i. Let a = d + 13. Let z be j(a). Solve 0 = u - 5*q - z, -4*u - q - 4*q - 41 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8574.251ml?\nAnswer: 8.574251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0*x**5 + 10*x**2 + 0*x**4 + 0*x**6 - 1\/2*x**3 + 1\/35*x**7 + 0 + 0*x. Differentiate a(i) with respect to i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 6213?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*f - 9140 - 8813 = -7384 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 712 + 403 = 0. Is (-10 - -9)*(0 + x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 749223.\nAnswer: -23\/249741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -486, -505, -532, -567, -610, -661?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*g + 135 = 0, 4*n - 5*g + 75 = -74. Let t = n + 43. Suppose -3*d = -5*d + 8. Sort 5, d, t.\nAnswer: t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, r: 1, z: 8, s: 1}. Give prob of sequence zzzx.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019237 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2538 - -2536 - (5 - 145)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211115 is divided by 210936?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(968) + -1 + sqrt(968))**2*-2 + (-1*sqrt(968))**2 + -3 + -1 + (sqrt(968) + (sqrt(968) - (sqrt(968) + 0))**2 + sqrt(968) - sqrt(968)).\nAnswer: -6780 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, -0.3, 0, -0.18 in increasing order.\nAnswer: -5, -0.3, -2\/11, -0.18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = 5*i, 5*c + 0 = i + 10. Solve s - c*q = 5, 2*s - 3*q = 16 - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(-65)*(-470)\/32 and 101\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = 3*k - k, 3*k - 30 = -5*t. Solve c = k*h + 1, -13 - 2 = 3*c + 3*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8 + 9*r + 1 + 6*r**2 - r**2 + 4. Let l be x(6). What is the greatest common divisor of l and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43833 - -43832. Let x = 1.2 - 0.5. Sort a, -1\/2, x in decreasing order.\nAnswer: x, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c + c**3)*(-15176 + 7586 - 446*c + 7590)*(-1 - 3 + 3).\nAnswer: 446*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17567509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -24. Let p be (-4)\/(-6 - 2)*y. Suppose 3236 = p*f - 1064. Round f to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 3656953?\nAnswer: -3656964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83350 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5239 rounded to one dp?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/71285 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137342414?\nAnswer: 2, 11, 6242837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -826, -1684, -2542, -3400, -4258, -5116?\n\"Answer: -858*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -96*i**2 - 90*i. Let p(o) = -288*o**2 - 270*o. Let t(m) = 7*j(m) - 2*p(m). Find the second derivative of t(b) wrt b.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 6 = 4*k, -19*p + 2*k + 53 + 7 - 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 349689 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/(-10) + (-9)\/15. Let h = 10 + p. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-21)*26\/(-65). Sort -1\/2, 1, j, 2\/13 in increasing order.\nAnswer: -1\/2, j, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6) + (-10)\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/980)\/((-4)\/70)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2. Let h = 1085 - 1083. Let n(f) be the second derivative of 0 + 11\/6*f**4 + 3*f + 0*f**3 + 0*f**h. What is o(n(k))?\nAnswer: -968*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3574 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**4\/5 - 2298*q**3\/5 + 2306*q**2\/5 = 0. What is q?\nAnswer: -1153\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(2430)*4 + sqrt(30))\/sqrt(10).\nAnswer: 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/10 - 22*a**3\/15 - 5*a**2 - 26*a\/5 + 74. Factor n(y).\nAnswer: 2*(y - 13)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -406 + -1?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 314\/(-208) + 5\/40. Is l at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuukuuuuu. What is prob of picking 1 u and 1 k?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-11) - (-10)\/(-55). Suppose 38 = n*q - 6. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 56*h**2 - 9*h + 258. Is 6 a factor of g(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2676480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let y(m) = m**2 - 18. Give w(y(d)).\nAnswer: -2*d**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -38*c**3 + 4*c - 4. Let r(o) = 190*o**3 - 19*o + 19. Give 19*q(u) + 4*r(u).\nAnswer: 38*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/566393 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {r: 4, b: 7, q: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3040 (base 6) to base 9\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqfffffffqfffqffqfq. What is prob of sequence ffff?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/7 - 562*p**2\/7 - 3800*p\/7 + 9864\/7 = 0. Calculate p.\nAnswer: -274, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + -79. Let g = -252 - t. Solve -g*z - 1 = -7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20585 * -2.09.\nAnswer: 43022.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 + h**3\/6 + 4*h**2 + 11*h. What is q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 0 - 6\/3)\/((-5)\/34085)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 44348939 and 44348944 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l - 149. What is h(-38)?\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 - 952 = -6*z. List the prime factors of z.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576855 to the power of 1\/2, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/30)\/(4\/18)*((-629000)\/2856 + 220).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 2*v)*(4*v + 4 - 4)*(-6*v**2 + 4*v**2 + v**2)*(190*v + 217*v - 459*v).\nAnswer: -416*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 147.0047 decades?\nAnswer: 14.70047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 1379. Let x(u) = -2*u - 688. Give -2*k(h) - 5*x(h).\nAnswer: -2*h + 682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -122112002 (base 3) to base 2\nAnswer: -11000111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:25 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 19. Suppose -2*c - u*c = -96. Suppose 18*h = c*h + 20. What is the lowest common multiple of 13 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:46 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439666 is divided by 1571?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35086439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 41*j + 34*j + 74459, 2*m + 5*j - 49638 = 0. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718596 is divided by 4863.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*a - 3 = 0, 0*x - 3*x + 33 = -3*a. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000 - 1011100001010110000?\nAnswer: -1011100000110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-108 + 131 + 3 + 4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i**2 - 21*i + 42. Determine z(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 11, e: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 358505561 to the power of 1\/2, to the nearest integer?\nAnswer: 18934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 7, d: 2}. What is prob of picking 2 h, 1 d, and 1 g?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6236\/27 - -231. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**6\/360 + g**5\/120 + g**4\/8 + g**3\/3 - 1. Let a(k) be the third derivative of p(k). List the prime factors of a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = o. Let d be (-36)\/(-8)*o\/6. List the prime factors of ((-2)\/(-3))\/(d\/(-45)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 85*r**3 - r**2. Let d be l(1). Suppose -4*c + 2*c = -d. Suppose 2*w - c = -6. Calculate the greatest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (828 - 1)\/((-262)\/7336*7\/(-2)). Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let n be 276\/(-2668) - (-248)\/(-2088). Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1739?\nAnswer: 7\/1739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1325*c**2 - 13259*c - 28. Calculate o(10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1900)\/(-70) + (-6)\/(-7). Solve 5*d + 3 - j = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -725, -1113, -879, 289, 2703, 6675, 12517, 20541?\n\"Answer: 52*m**3 - m**2 - 749*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/28 + 17 - (-142)\/(-18))\/((-2)\/(-15)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 18 = 2*d, -5*u + 5*d + 165 + 155 = 473 - 183 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i + 5*i + 4 + 11*i. Let d(l) = -3*l**2. Calculate d(w(c)).\nAnswer: -48*c**2 - 96*c - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1771987 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 5\/10 + (-138)\/4. What is the tens digit of m\/(3\/(-15) - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -12*c**2 + 0*c + 0 + 1\/6*c**3 + 0*c**4 - 1\/60*c**5 + 1\/12*c**6. Give a(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-20) + -6)*(-7)\/14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205967, -411666, -617365?\nAnswer: -823064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q**2 + 132*q**2 + 35*q**3 - 33*q**3.\nAnswer: 2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*95*340\/339150?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981668077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyyyyyyyysyyyyyyyy. Give prob of picking 2 y.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 14*h + 8. Let b be x(-4). Let y be (-15)\/((-120)\/50288) + b\/(-2). Suppose 0 = -30*p + 32*p - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*m + 18, 37 = 2*b + 2*b - m. Solve -4*f = 5*y - 3*y + b, -2*f = -y + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43056 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: Divide -79 by -800409.\nAnswer: 79\/800409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4174 + -4178. Let u = -8 + 5. Let a = -3.5 - u. Put 0, h, a in ascending order.\nAnswer: h, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*w - 45*w + 623 + 99 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*k + 1, 0 = 3*l - 4*k - 40. Let q = -71 + 66. Let z = q + l. Solve -3*c - z = 2*d + d, 0 = -5*d - 3*c - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25c (base 13) in base 7?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 b when four letters picked without replacement from {k: 1, h: 5, b: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 + a + 2. Let d be 8 + -4 + -1 + 3. Suppose 0*c = d*c - 12. List the prime factors of f(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -1) + (-15 - (9 + -16))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001130 to the power of 1\/2, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-408)\/153*5\/(60\/9) - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = 5*v + l, -v = -5*l - 5. Solve -6*c + 12 + 12 = v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -49*r + 231. Let x be y(5). Let d(z) = 2*z**2 + 30*z + 21. Give d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1483834)\/64 + -7 + 5. Suppose 0 = -24*i - 210553 + 767113. Let q = i + o. Calculate the common denominator of -42 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1984 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352936 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(0 - (-1 + (-3)\/(-2))). Let w be ((-21)\/y)\/((-3)\/10). Suppose -6*d = -w*d + 72000. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435, 690, 583, -66, -1437, -3710, -7065?\n\"Answer: -30*a**3 - a**2 + 468*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - -4 - (4 - 17)) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 1 = 25. Suppose 4*r + 16 = -9*o + 13*o, u*r + 2*o - 8 = 0. Solve 7*t - 3*t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240976)\/75305*(1 + 29\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3825, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2)*-13)\/(2\/(60\/((-270)\/18)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 31 + 0*z - 4*z + z.\nAnswer: -3*z - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.95\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 15502.4 (c) -5\/2 (d) -6\/95 (e) -4\/5 (f) -2 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096888747 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 935180 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/114 and -35\/2202.\nAnswer: 41838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(15)*-1*-1)\/sqrt(3) + (sqrt(605) - (sqrt(605) - (sqrt(605) + 0 + 2)))**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-12))\/(1\/2). Calculate the highest common factor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - (-69)\/9. Suppose 0 = -5*q + p + 18. Let r = -1.13 + 0.13. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 8 = -3*q. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/5 + 16276*z**3\/5 - 308632*z**2\/5 + 892364*z\/5 + 5894394\/5 = 0 for z.\nAnswer: -3, 11, 8119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9925218599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3362 + -3367. Which is the smallest value? (a) j (b) -1 (c) -2\/19 (d) -0.04 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 488474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024394 is divided by 5384.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -0.2, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.55 * 1.\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o - 4. Let x be d(-4). Suppose 4*k + 4*v - 32 = 0, k = v + 3*v + x. Calculate the remainder when 35 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4495 and 290?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 123264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -816*w**2 - 128*w. Let u(k) = 32*k**2 + 5*k. Let q(n) = -129*n**3 - 3*n**2 - 46*n - 44. Let i be q(-1). What is i*u(o) + 5*y(o)?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154 - -158) + -3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 9*w**3 - 3*w**3 - 9*w**3 + 2 + 39*w**2 - 16*w**2 + w**3 as r*w**3 + v*w + g + j*w**2 and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 127*i + 5 - 106*i + 346*i - 99*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 + 15 = 0. What is the common denominator of -73\/4 and 2\/q - (-181)\/(-44)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 942339, 1884680, 2827021, 3769362, 4711703, 5654044?\nAnswer: 6596385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265 - -276. Put 2, b, -1\/7, -3\/14 in descending order.\nAnswer: b, 2, -1\/7, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12791092 and 353596?\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -621.1?\nAnswer: -621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**5\/20 - g**4\/2 - 7*g**3\/6 - g**2\/2 + 50*g. Let y = 1 + 6. Give b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*b - 16*b - 22*b to the form k*b + w and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + f - 3 = 14, -5*f = -15. Find the third derivative of 2*i**6 - i**2 - 9*i**2 + l*i**2 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -j + 12, 0 = -r + 3*j + 12. Let y = -106 + 112. Let b(z) = z**2 + 3*z - 36. Let a be b(y). What is the highest common factor of a and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c**5\/7 - 19216*c**4\/7 - 54750*c**3\/7 + 17980*c**2 + 134096*c\/7 - 27264\/7 = 0. Calculate c.\nAnswer: -4, -1, 3\/17, 2, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*m + 8, 26*j - m = 31*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-463 + 463 - 3*c)*(-1 - 3 - 1)*(1 - 1 - 5*c).\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/13)*q*q*q*q**(-5\/2))**(-3\/19))**(-3\/38) assuming q is positive.\nAnswer: q**(297\/18772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/3 - 2\/4. Suppose m = -14*v + 11*v + 327. Suppose 7*p - 4*p = 5*h + v, 4*p = -3*h + 97. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4)\/14 + (-4)\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) -4 (c) -68 (d) 2 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:44 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332575*n**2 + 665147*n**2 - 332578*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 31*c**2 + 4*c + 6. What is o(-2)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 27, 9, -41, -129?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2 + 0 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-3 - 75\/(-5)). Let m = 8 + -5. Find the second derivative of 5*t**3 - 3*t + 6*t - u*t**m wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71262 to the nearest one hundred.\nAnswer: -71300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1913 - -10922. List the prime factors of d.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + 3*p, 6 + 3 = 2*y - p. Let x(d) = -d**3 + 6*d**2 - 3*d + 14. Let u be x(y). Which is the closest to 0? (a) u (b) 3 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**3 - 3*i**2 + 2*i. Suppose 0 = 5*w - 37 - 3. Suppose a + a - 4*m = w, 9 = 4*a - m. Is u(a) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6357722 times 4?\nAnswer: -25430888","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Divide 775710 by 442.\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 12*v. Let c(a) be the first derivative of -3 + 10\/3*a**3 + 0*a + v*a**2. Let m(g) = -g. Calculate m(c(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a5 - 3?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/204 + (-311)\/4. What is the tens digit of ((-260)\/q)\/((-1)\/(-54))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Solve -b*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7778*h*p**3*r*z - 5*h*p**3*r - 2*h*p**3 + 434*h*p*r - 2*p**3*r + 4*p**3 - 87*p*r - 346*r*z - r wrt z?\nAnswer: -7778*h*p**3*r - 346*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/1295*(11 + ((-23)\/69)\/((-1)\/(-19))).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.49 + -34520470487?\nAnswer: -34520470685.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 - 108. Suppose -2*s + 2*c = -141 + 51, 3*c + d = 2*s. Let l = s - 22. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -26.9?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -462711 or -2\/3?\nAnswer: -462711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -2\/3 (c) -9\/14 (d) -45 (e) 1\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60811275461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1686, 5599, 12128, 21279, 33058?\nAnswer: 47471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68187*u**3 - 68192*u**3 - 2*u + 2*u + 136383*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.16 (c) -0.18 (d) 10 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 + 789 = o. Let u = -375 + o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1365)\/(-21))\/(-2275)*2*(-10)\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 14*l**2 + 14*l - 11. Let q be f(-15). Let b = -7 + 5. Is (-493)\/b + q\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4.\nAnswer: -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 1530 - 26 = 370 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11324254 to the power of 1\/2, to the nearest integer?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from hhhhhznhhzzzzhz?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let h be (-2 - 0)*94\/y. Let r = -28 + h. Solve -3*f + 11 = -2*t, 10*t - 5*t + r = -f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 28 - 23. Let n = -21 + 32. Let m(d) = d**3 - 12*d**2 + 14*d - 2. Calculate the remainder when m(n) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqaqaaaz. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 12 + 4542*y - 8964*y + 4587*y.\nAnswer: 165*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/630 + t**5\/180 - 3*t**2\/2 - t. Let l(y) be the first derivative of v(y). What is b in l(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2355*q. Let l(k) = 46*k. Give m(l(c)).\nAnswer: -108330*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*t + 48, -5*t = k - 4 - 12. Suppose -4*j = -3*o + 37, -4*j + 5*o - k = 27. Let f = 11 + j. Solve 0 = -7*b + 3*b + f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (32\/(-6))\/(((-56)\/12)\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**(-17)*(p\/((p\/p**(-5))\/p))\/(p\/(p\/p**2)) assuming p is positive.\nAnswer: p**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - -308. Suppose 0 = -18*c + 13*c + b. Suppose -3*o = -5*o - 5*g + 38, 3*g = 4*o - 24. Calculate the greatest common divisor of o and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 3}. What is prob of sequence kd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4302517.\nAnswer: 4\/4302517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 + -2.988.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -443.706529 to 2 dps.\nAnswer: -443.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 - -564. Let x(o) = 4*o**2 + 60*o + 153. Let n be x(-2). Calculate the greatest common factor of j and n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 7. Let z(h) = 3*h**3 - 2*h + 2. Suppose -3*a = 2 + 4, 4*a = 3*u - 11. Let q be z(u). Suppose 4*j + l = -j + 28, q*j + 2*l = 21. What is x(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 11*a + 5. Let y be d(-11). Let s(z) = -15 - z - 15 + 19. Let t(h) = h + 12. Give y*t(p) + 6*s(p).\nAnswer: -p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u - 0*u. Let g = 10 + u. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 9*g**2 + 8*g + 5. Let b be t(-8). Suppose l = b*l - 12. Let v(s) = -5*s - 5*s + 5*s - l*s. Give v(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/4421500 and 109\/239000.\nAnswer: 8843000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3*3\/18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 35*j = 9. Suppose j*z = 6 + 3. Let l(d) = -d**3 + 5*d**2 - 3*d - 3. Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 - 2*s\/13 - 112\/13.\nAnswer: 2*(s - 8)*(s + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, -2, -3, 7764 in descending order.\nAnswer: 7764, 250, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 195, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 + -149. Calculate the least common multiple of v and 55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 9*m - 717. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12975, 12921, 14129, 17229, 22851, 31625, 44181?\nAnswer: 61149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) -4.35 (b) 2 (c) -3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/8 - 41*c**3\/6 + 10*c**2 + 5. What is k(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (615\/14)\/((-8)\/84). Let w = z + 462. Factor -w - 3\/2*t - 3\/4*t**2.\nAnswer: -3*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)\/i**4)\/(i\/(i\/(i\/(i\/i**(-2)))*i*i)*(i\/i**(-7))\/i))**(-24\/11) assuming i is positive.\nAnswer: i**(1224\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -457279*t + 1675509 with respect to t.\nAnswer: -457279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -353738, -353821, -353906, -353993, -354082, -354173, -354266?\n\"Answer: -p**2 - 80*p - 353657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -46. Put f, -5, 4, -4 in increasing order.\nAnswer: -5, -4, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2071*h*m*y**2 + 3*h*y**3 + m*y**3 + 2*m*y + 1338*y**3 wrt h?\nAnswer: -2071*m*y**2 + 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*sqrt(153) - sqrt(153)) + sqrt(153)) - 6*1*sqrt(153))\/(-3*-2*sqrt(1296) - (3*((sqrt(1296)*2 - sqrt(1296)) + sqrt(1296)) + sqrt(1296))).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28660411 by -4.\nAnswer: 28660411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - i + i)*(2*i + i - 2*i) - 64 + 7*i**2 + 491 + 285 - 16*i**2 to the form x*i + z*i**2 + m and give m.\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.605954 rounded to 2 decimal places?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*t - 109 = 0, 2*r + 2*t + 198 = 4*r. Suppose -5*w + 4 + 6 = 0. Let f = w + r. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 19*d - 300 = 0. Let w = -149 - d. Let l(j) be the first derivative of -j**3\/3 + 7*j**2\/2 + 2*j + 1. Let a(k) = -k. Give w*l(u) + 6*a(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*p - 42. Calculate the greatest common factor of p and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aat. What is prob of sequence ta?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 6*q - 3. Let m be y(-3). Suppose -m = 3*k - 3*c, 2*c - 13 = -k - 0*c. Solve -5*s - 4 = -r - 0*s, 0 = k*r - s - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 7*k = 0. Let x be (k + -2)*55\/(-22). Let c(r) = r**2 + 6*r - 4. What is the tens digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/50 and -14\/65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125372808 and 37320?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103001 and -342.\nAnswer: 35226342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003601 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (10\/5 - -6). Suppose 24 = 4*o + 4*k + 8, 4*k - b = 3*o. Solve 0 = 2*s + v - 13, o = -s - v + 4 + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 4*v**3 + 3 + 5*v**3.\nAnswer: v**3 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 443, 404, 365, 326?\n\"Answer: -39*r + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/10140 and -83\/2925?\nAnswer: 152100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 515*t**5 + 2080*t**4 + 2140*t**3 + 80*t**2 = 0. What is t?\nAnswer: -2, -4\/103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/900 and -97\/96.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 >= -5\/452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l + 7 + 0*l - 8*l + 10*l**2 + 2*l. Let g(r) = 9*r**2 - 5*r + 6. Let w(u) = 6*g(u) - 5*v(u). Find the first derivative of w(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 8, i: 3, l: 2, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/18 and 15\/6884.\nAnswer: 61956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506388439 + 2*x**2 + 17*x + 5*x + 1506388439.\nAnswer: 2*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 5*j + 2. List the prime factors of b(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-1 + -1) + 5. Suppose 0 = 5*q - 327 + 77. Let w = -30 + q. Solve l - w = -v*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303 and 4411680?\nAnswer: 4411680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8*o - 680. Suppose -o = -2*q - 3*q. Is (-81 - -1)*(-17)\/q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 9 - 5*s + 2*s. Let j be u(1). Solve -5*g = j*k + 13, 0 = 2*k + 3*g + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.23, 254, -7?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*c*q**3 + 3*c*q**2 - 14*c*q + 2*c - 2*q**2 - 796*q wrt q?\nAnswer: -132*c*q + 6*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 5*k**2 + k - 4 - 8 to the form l*k + d + o*k**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 123 - 255 - 34 - 461)*(4*j**2 + j**2 - 3*j**2) as b + v*j + k*j**2 and give k.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 24. Let y be 2\/3 - (-26)\/(-3). Let h = -5 - y. What is the least common multiple of j and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -294536 + 294540 + 4*z**2 + 16*z + 4*z. Suppose 4*d + 18 = d. Let p be j(d). Solve -h = -5*h - 4*l + 16, -3*h + 5*l = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46377665 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4806663752 and 0.8.\nAnswer: 4806663752.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-49) + (-29)\/7. Sort -5, -3, z in decreasing order.\nAnswer: -3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 5*v. Let j(k) = k**3 + 2*k**2 + 4*k. Let d(x) = 2*x**2 + 7*x. Let i be d(-4). Calculate i*o(f) - 5*j(f).\nAnswer: -5*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:40 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*c - c. Suppose 5*h = 6*h + 4*x + 6, 0 = -2*h + 4*x + 12. Solve h*n - c + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127517010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/9, -2\/9, -34.5, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102307 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 the derivative of 65*w - 143*w - 90 + w**2 + 60*w wrt w?\nAnswer: 2*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -35\/15299?\nAnswer: -35\/15299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 + 2*z**2 - 219 - z**2.\nAnswer: z**2 - 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1572, 1, 3 in descending order.\nAnswer: 3, 1, -1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677345703 to the power of 1\/2, to the nearest integer?\nAnswer: 87620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88284 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q**3 - 4*q + 4*q)*(0*q - 4*q + 3*q)*(1 - 1 - q) + 11*q**4 - 11*q**4 + 42*q**5.\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:56 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190.5 - 157. Let g = v - 33. What is g rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 43 + 1 = 4*j, 28 = 3*j - 4*d. Let k(c) = c**2 - 16*c + 2. Let b be k(j). Suppose 0 = -b*z - 9 + 25. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.851222153 take away -6?\nAnswer: -29.851222153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + f - 16450 = 6*f, 4*u + 3*f + 21915 = 0. Let l = 11770 + u. Suppose -3*p - w - l = -4*p, 0 = 3*p - 2*w - 18890. Round p to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((3*(-3)\/18)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 3. Let m(u) = 6*u + 22. Let i(a) = 6*m(a) + 44*o(a). Let l(k) = 3*k. Calculate i(l(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3 - 6*q**2 - 12*q - 8. Factor j(v).\nAnswer: -3*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 122.2. Let a = 7.2 + x. Let s = a + -15. Is s bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 81. Suppose 3*m - 84 = k. What is the lowest common multiple of 4\/(-10) + (-270)\/(-50) and m?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 6. Let n be v(-5). Suppose 0 = h - 3*h + 8. Let o be h\/(-6) + (3 - 2). Are o and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 88 - 32 = 0. Let u = 21 - c. Let d = -5 + u. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47903, 47891, 47879, 47867, 47855?\nAnswer: 47843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -845 - -859. What is the greatest common divisor of 182 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/60 + 5*u**4\/24 - u**3\/2 + 2*u**2. Calculate the remainder when 1\/6 + 10\/12 is divided by m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-42))\/((-448)\/(-1568))*39\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 161 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let i(w) = 1249*w**2. Give q(i(j)).\nAnswer: 3120002*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -50. Suppose u = -5*s + 46. Suppose 10*d - 11 - s = 0. What is the smallest common multiple of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29534023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((106 + 39440\/(-374))\/((-2)\/(-11)))\/((-1)\/5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 22. Put -4, m, 2 in descending order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3\/5 + 603*r**2\/5 - 32301*r\/5 + 197589\/5 = 0.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 1. Let z = 22 - 3. Suppose -i - 2*y = 4*i, -z = -3*i - 5*y. Let x be l(i). What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 10. What is l(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5559749 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 10*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 20*j**2 + 45*j + 27. Let a be i(-22). Solve 0 = a*u + 11 - 36 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 17*t**2 + 3*t**2)*(2*t - 7*t**2 - 2*t)*(-3 - 3*t + 3) + 1 + t**5 - 1.\nAnswer: 442*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + 2.13. Let d = u - -0.05. Let i = -32 - -29. Which is the closest to d? (a) 2 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -910406103 > -910406102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 16*x + 165. Let n = 493 + -486. Let b be o(n). Solve -2*k + 4*s - 5 = -15, -b*k + s = -13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 4311 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13527 divided by 6\nAnswer: 4509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two fifteenths of a day?\nAnswer: 2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o + 7. Determine s(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k + k)*(2*k**2 - k**2 - 2*k**2).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 - f + 5. Let h be t(-4). Suppose -j + 11 = -2*j. Let z = h - j. Is z <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/5, 2\/5, 5, 1, -708?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -4, -11, -10, -1, 16?\n\"Answer: 4*b**2 - 27*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*i = -2*c + 5, -13*c + 585482*i = 585484*i - 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from iiiiiiimiiii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 43.913 (b) 2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5696 (base 12) in base 14?\nAnswer: -3710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241416099.\nAnswer: 3, 17, 525961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 5 + 5)*(-3*h - 11*h**2 + h**3 + 11*h**2)*(25*h - 16 + 16)*(-4 + 3 - 1).\nAnswer: 100*h**5 - 300*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 - 7*r - 24*r**3 - 117 + 3*r + 16*r**3 in the form x + s*r + v*r**3 + d*r**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 15*m. Solve -6*c + 6 + 18 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 2. Suppose -15 = -t + v*m - 3, 0 = 2*t + 3*m - 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -166, -158, -138, -100, -38, 54, 182, 352?\n\"Answer: a**3 + a - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 214 - 208. What is the smallest common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -33*n**2 + 8*n - 210. Let c(v) = 11*v**2 - 3*v + 69. Suppose 470 = 3*k + 419. Let m(x) = k*c(x) + 6*b(x). Differentiate m(f) wrt f.\nAnswer: -22*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*y - 5 = 2*g + 707*y, 7*g - 3*g - y = 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 9*x = 16*x + 66. Solve 2*d + x = -i, 0*d + 14 = 5*i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988123 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 12*l - 11. Let a be -2*((-26)\/4 + 1). Let d be m(a). Let b(v) = v**2. Calculate b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 38 = -3*b - 17, 30 = 5*b - 5*j. Solve 0 = b*x + 2*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:59 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 20.7. Let h = 0.3 + x. Let n = 0.32 + -0.02. Sort -4, n, h.\nAnswer: -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 17*h - 21870 = -3*c, -5*h + 2*c + 21845 = 0. Calculate the highest common divisor of h and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6229*p**3*w + 803*p**2 - 2*p*w wrt p?\nAnswer: -37374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 bigger than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/60 + o**5\/30 - o**4\/24 - 65*o**2. Let q(z) = 10*z**3 - 11*z**2 + 5*z. What is -2*q(x) - 11*v(x)?\nAnswer: 2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(243) - (3 + sqrt(6)\/sqrt(2))) + -5)*-6)**2.\nAnswer: -4608*sqrt(3) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139781962 to the nearest integer?\nAnswer: 11823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 22*n - 228. Let s be p(8). Solve -9*d + s = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 + -655\/3. Calculate the common denominator of 57\/56 and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16745050 and 4.\nAnswer: 33490100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116063, 116067, 116087, 116135, 116223, 116363?\n\"Answer: 2*d**3 - 4*d**2 + 2*d + 116063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2788, 2767, 2744, 2719?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 985, 935, 851, 733?\n\"Answer: -17*x**2 + x + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 + 7 + 2*j**2 + 3*j - 1 in the form d + b*j**2 + f*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 3*d**2 - d**2 - 2 + 2 + 2*d**2 + (2 + 0 + 0)*(89 - 13*d**2 - 89) in the form p + i*d**2 + k*d and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582747540.\nAnswer: 2, 5, 29, 4453013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-78)\/(-36))*(-72)\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/29, -2, 0, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 4. Let a be f(-9). Suppose a*h - 2*i - 216 = 0, -4*h + 3*i = 6*i - 159. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 1. Let o be x(4). Suppose -5*w + 20 = -o. Calculate the remainder when 43 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/13)\/(((j**(-4)\/j)\/j*j*j)\/j*j))\/((j*j**(-6)*j)\/j*j**(4\/5)*j) assuming j is positive.\nAnswer: j**(463\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:47 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {s: 3, x: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -30, -48, -84, -144?\n\"Answer: -n**3 + n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o)*(3*o**4 + 774 - 789 - 484).\nAnswer: 3*o**5 - 499*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3123 divide 525232386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k - 0*k + 5*c, -2*k + 5*c = -10. Let w = k + -133. Let d = w - -189. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4136733 millennia?\nAnswer: 41.36733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -7 - (14 + -1 + 1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:58 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198210897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -555645 - -2?\nAnswer: -555643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 1, h: 2, c: 1, a: 7, s: 2}. What is prob of sequence cg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6 - -3) - -17. Suppose -3*c = -4*c + s. Suppose -c + 6 = -2*t. Solve -t*u + u = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:54 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/497 and 46\/497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 8*f - 562. Let k = 41 - f. Sort k, -5, 3.\nAnswer: k, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:06 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 5423*c**3\/3 - 5209*c**2\/2 + 8999. What is the second derivative of r(x) wrt x?\nAnswer: 10846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/15 + 1\/15. Which is the closest to -2? (a) f (b) -1\/2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1\/7 (c) -5 (d) 2\/13 (e) 331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2733 - 26?\nAnswer: -2759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*398.67.\nAnswer: 12757.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/5 - 1338*f**2\/5 + 147252*f\/5 + 59976 = 0. Calculate f.\nAnswer: -2, 210, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -73472 and 0.44.\nAnswer: -73471.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (18 - 8)) + -5 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 147292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3509000 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3120 - 3100. Calculate the remainder when (6 - 2)\/(6\/93) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 24. Let i be (-28)\/(-6) + 1\/3. Let q(b) = -b**2 + 6*b - 1. Calculate the smallest common multiple of q(i) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 137*d - 691. What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 28*v + 30*v + 142*v + 4139 - 4140.\nAnswer: 212*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 5)*(3 + -2). Let k be (1 + -1 - 3)*c. Suppose 55 + 8 = k*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51426*h + 52239*h = -30894 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 12. Let w = -56 - -48. Calculate the remainder when t(w) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 10, -188 in decreasing order.\nAnswer: 102, 10, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 47093423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2224 = 3*m - 2235, m + 19 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/21, -5\/6, -108\/7?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - g - 6. Let c be f(3). Let n(d) = -6*d**2 - 5*d + 3. Let v be n(3). Let y = c - v. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 17*c + 3. Let r(n) = 28*n**2 + 159*n + 27. Let l(x) = -19*b(x) + 2*r(x). Give l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 67*q**2 - q - 3*q - 12*q**3 - 241 - 37*q**2 + 11*q**3. Is j(29) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v - 1. Let m be u(1). Suppose -4*o + m = -9. Suppose -2 = -z - o*d + 5, 4*z = 4*d + 52. What is the remainder when 34 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179\/4 + 706. Let p = -677 + b. Which is greater: -15 or p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 369 + 367 = z, z - 7 = -5*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1074882 (base 10) to base 4\nAnswer: 10012123002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c + 329. Let b be t(5). What is the highest common factor of b and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 190*y + 0 + 397*y.\nAnswer: 587*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/7 - 540*f**2\/7 + 3132*f\/7 = 0. Calculate f.\nAnswer: 0, 6, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-4*-3 + sqrt(224))\/(sqrt(700) + 1*sqrt(700))*-5.\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.76?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*p**6 + 29287*p**5 + 28*p**3 + 405074*p**2 - 321*p wrt p.\nAnswer: -720*p**3 + 1757220*p**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(13) + 3 - (sqrt(104)*-3)\/sqrt(8)).\nAnswer: 9 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 294, -0.3, -3\/5005?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596587 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -444, -470, -494, -516?\n\"Answer: i**2 - 29*i - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1958, 3995, 6022, 8033, 10022?\n\"Answer: -a**3 + a**2 + 2041*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*j*o + 4*h*j - h*o - 36922*h - 12*j*o - 2340668*j wrt h.\nAnswer: -j*o + 4*j - o - 36922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6113, 6442, 6773, 7106, 7441?\n\"Answer: r**2 + 326*r + 5786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x**2 + 0*x**2 + 2*x**2)*(4 - 5 + 0) + 4*x**2 - x**2 - 4*x**2 - 5*x**2 - 45*x**2 + 7*x**2)*((-1 - x + 1)*(x - x + x) + 4*x**2 - 1 + 1 - x + x + x**2).\nAnswer: -180*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 205*v**2 + 215*v + 2252. Give o(-204).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, 393, 1095, 2145, 3651, 5721, 8463, 11985?\nAnswer: 16395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 10122, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 26 + 8*z**2 + 3*z**3 + 0*z**2 + z**2 + 5 - 4*z**3. What is r(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaabvvvvavbvvbaa. Give prob of picking 1 b and 2 v.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -206 - 704?\nAnswer: -90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/5040 - p**5\/60 + 2*p**2. Let c(l) be the third derivative of w(l). Let s(v) = -v**2 + v. Calculate 2*c(a) + 2*s(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + 231031240?\nAnswer: 231031144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22621 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 18470205.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 298 - 217 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 16078 (c) 2\/13 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87.65 - -89.39. Round o to zero decimal places.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 8 + 47. Calculate the greatest common factor of 52 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let a(q) be the first derivative of -q**2 - 2*q + 1. Let k be a(-2). Let l(t) = -k*t**2 + t**2 + 0*t**2. Calculate l(p(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5602448 is divided by 174.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74163 is divided by 491?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2, 3\/7, -13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/9 - 4\/(-6). Let x = -0.1397 - -0.2397. Let p(w) = w**3 - 21*w**2 - 49*w + 72. Let y be p(23). What is the closest to 0.3 in k, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -1\/3, 11, 3\/5, 0.5, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-455)*28\/(-72)*6*-2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007978771 to five decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 23. Let y(m) = 5*m + 93. Let n(a) = 9*i(a) - 2*y(a). What are the prime factors of n(0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 53 = 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.041382l?\nAnswer: 41.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-162))\/((-70)\/(-1575)))\/((-3)\/18)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2436*c - 761 + 761 - 700*c in the form t + o*c and give o.\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8566931339635 and -0.5?\nAnswer: 8566931339635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/5 - 509*j\/5 + 2784 = 0.\nAnswer: 29, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 193. Suppose -2*n + f + 114 = 0. Suppose -n - 377 = -2*g + 4*w, 2*w = -5*g + 1287. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 556720, 556743, 556780, 556837, 556920, 557035, 557188?\n\"Answer: g**3 + g**2 + 13*g + 556705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**3 + 14*q**2 + 5*q - 9. Let g(n) = 7*n**3 - 14*n**2 - 4*n + 9. Let b(v) = -7*g(v) - 6*s(v). Is b(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 60 = 0. Suppose t = -6*g + 96. Let y = g + -7. Calculate the remainder when 13 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 3. Let p be f(-6). Suppose -4*z + p - 9 = 0. Suppose -2 - 2 = 2*h, -5*j + 5*h + 10 = 0. Solve r - 4*b - b - 15 = j, -5*r = z*b - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780079853 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: Find the third derivative of 10068*z**3 - 3508*z + 1196*z**2 + 1672*z**2 - 1245*z**2 + 3507*z + 951*z**2 wrt z.\nAnswer: 60408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8. Let q be j(4). Suppose -4*v = 3*b + 7, 2*b - 4 = -3*v - q. Suppose 332 = -v*h + 1414. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2941 and 6.\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 12 + 12*a + 7*a - 16*a + 9*a + 0*a. Let c(m) = -m**2 + 6*m - 6. Let b(p) = 11*c(p) - 6*j(p). Determine b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.068433 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -19700, -5 in descending order.\nAnswer: -1, -4, -5, -19700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165940807.\nAnswer: 239, 694313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22011 (base 5) to base 7\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 4*f**2 - f**2)*(-2 - 1 + 4) + (-3 + 2*f + 3)*(-5*f - f + 4*f) + 2*f**2 + f - f - 3*f**2 - 4 + 4 in the form c*f**2 + r + y*f and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.77 + 1.17. Which is the closest to -22? (a) n (b) -4 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 459 and 360.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18887534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:39 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225*g**4*x + 2*g**4 + 17*g**3 - 51381*g**2*x wrt g.\nAnswer: 5400*g*x + 48*g + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 2}. What is prob of picking 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/12 - 7*d**3\/6 - 3*d**2 - 384*d. Calculate l(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*a**2 + 2*a + 124.\nAnswer: 50*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -m + 112. What is the least common multiple of m and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 3131 = -7*w + 15*w. Solve 97*s + v = w*s + 1, 1 = 4*s + v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*2\/5*2. Suppose -2*r + 4 - 12 = 0, -2*n = r - x. Let o = n + 17. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -2 (d) 0.4 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/36 + -4 + (-5)\/36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -919*h - 48. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2691 + 2730. What is the smallest common multiple of 165 and s?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346*b**4 + 3*b**3 - 58165*b**2 wrt b.\nAnswer: -8304*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(1*7\/(-70)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -195. Suppose 1 + i**3 + a*i + 30 + 18 + 15*i**2 - 3*i = 0. Calculate i.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6523, 5975, 4537, 1765, -2785?\n\"Answer: -74*a**3 - a**2 - 27*a + 6625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 22 = -41 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1564 = 36. Suppose 8*h - i = 3*h - 2*y, -y = 4*h - 1280. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2)\/z*z*z)\/(z\/(z*z*z**7))*(z\/(z**(2\/3)*z))\/z**(4\/9))\/(z\/(z\/z**(-15))*z**(-15)*z)**(4\/15) assuming z is positive.\nAnswer: z**(1541\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2)*(-1 - (-44)\/20). Solve -j*s + 3 = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360897549?\nAnswer: 3, 173, 695371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 5. Let n(s) = -5*s + 61. Let u be n(12). What is the greatest common divisor of u and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*t - 9, k = 4*t - 9 - 0. Suppose -4*j = t*u + 39, -5*j + u - 11 = 52. Let q(m) = 17*m**2 - 10*m + 11. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 290\/(-33) - -4 - -1*3 and -71\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237079845 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 + 2*r - 6. Let m be v(-3). What is the least common multiple of 14 and 117\/6 - m\/(-12)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(5\/50*6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3\/7, -16, -194\/73, -2, 2\/3, 2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eearrdjee. Give prob of picking 1 a and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*n**2 - 123*n**4 - 73*n**2)*(6 - 6 - 7*n) + 2*n**5 + 3*n**4 - 3*n**4.\nAnswer: 863*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Does 18 divide (1 + 5)\/t + 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*h + 0 + 42*h + 0 + 17*h to the form w + r*h and give r.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9)*-3 - 0. What is m in 0*m + 4*m - m**3 - 3*m - 4 + m**n + 3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -613275 divided by 9435\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, w: 5, z: 2}. What is prob of picking 1 z and 2 x?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 times -13?\nAnswer: -4953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g. Let w(r) = 94*r. Calculate w(a(z)).\nAnswer: -940*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + 4 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16467675.68 to the nearest ten thousand.\nAnswer: -16470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2624059062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -110*d. Let v(p) = 19*p**2. Give u(v(x)).\nAnswer: -2090*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l - 24*l - 318 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 217948907, 217948905, 217948903, 217948901, 217948899?\n\"Answer: -2*d + 217948909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 0.05, -2, -2.5, -3, 5\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -9*z + 5*z. Let w = z + 2. Solve 0 = -5*x - 5*t - 10, w*x + 10 = -3*x + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b + 125 = 90*b. Calculate the highest common factor of b and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:58 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -5)*11*7\/1155. What is the nearest to g in 3, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**3\/2 + a**2. Let k(y) = -y - 4. Suppose -4 = -9*u + 7*u. Suppose 5*i - 5*l = 33 + u, -3*l = 4*i. Give i*k(q) + 4*o(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44213441 (base 5) to base 6.\nAnswer: 12110123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -9*y**2 - 26. Let j(d) = -d**2. Calculate i(j(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 13) in base 14?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16176052, -32352109, -48528166, -64704223, -80880280, -97056337?\n\"Answer: -16176057*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10371*n - 51863. Give b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122741391 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 343?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12446 - -12459. Solve 0 = -3*f + 12, -3*k + 27*f - h = 26*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:44 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1253416.31 to the nearest ten thousand.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*i - 20 = i, i - 5 = -2*r. Solve 0 = -r*o + 2*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -142?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-576)\/81)\/(-16) + (-114994)\/(-18).\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7617, 15229, 22841?\n\"Answer: 7612*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492922 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 559537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41*g**2 - 12*g + 7. Let t(r) = 38*r**2 + 9*r - 7. Give 3*h(u) + 4*t(u).\nAnswer: 29*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5649)\/79632 - (-4)\/64. What is the smallest value in -1\/11, -0.3, 0.2, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19716 - 46*t + 9*t - 19716.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 - 6*k + 6. Let w(h) = 2*h**3 + 7*h**2 - 11*h + 12. Give 7*t(r) - 4*w(r).\nAnswer: -r**3 + 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -481969317*x**3 - 414799295 wrt x?\nAnswer: -1445907951*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 11 - 162)*(2*v - 2*v + v + (6*v - 4*v + 0*v)*(-1 + 3 - 5)).\nAnswer: 385*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18569 is divided by 2650.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 61 = 4*c. Let v be -2 - (-2 + -1 + (-1 - -5)). Let b be (c\/4 - 2)*v. Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 4, i: 2}. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -130.0000572. What is m rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -609*x**2 + 6114*x + 144. Give u(10).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 15, 1, -1, -4, -11 in decreasing order.\nAnswer: 15, 9, 1, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**3 + 2073*b**2 + 11262*b + 14280 = 0. Calculate b.\nAnswer: -340, -7\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 25*i - 4. Let c(a) = 26*a - 4. Determine 4*c(l) - 5*z(l).\nAnswer: -21*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = -4*y - 0, -3*s = 5*y - 62. Suppose 0 = -p + s. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*g + 3*g + 21, -g - 3*x = 7. Let n(r) = 13*r - 1 + g*r**2 + 5 + 25. Is n(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-3))\/(-4)*3. Suppose 8*m + 747 = 4*o + z*m, -5*o - 4*m + 918 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let b(d) = 11*d - 1. Let n be (2 + -3)\/((-10)\/40). Let p(k) = 10*k - 1. Let r(v) = n*p(v) - 3*b(v). Give r(h(j)).\nAnswer: 14*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28706 and 982486?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8192 = 1217*q - 961*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/1325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*n**2 + 867*n**2 - 1832*n**2.\nAnswer: -106*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -1\/5, -3, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 4*d**3 + 0*d**3 + (-d**2 - 2 + 2)*(-32 + 8*d + 32) + (-1 - 3*d**2 + 1)*(-2*d - 4 + 4) as z*d**2 + m + h*d**3 + w*d and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 5*d**3\/3 - 15*d**2 - 35*d + 75. Factor v(k).\nAnswer: 5*(k - 7)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 499 = 2381. Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/(-105)*13\/195.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 9*t - 9. Let x be h(-7). Let c = 37 + x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**2 - 15*l - 15. Let y be a(3). Suppose -2*q = 2*j + 4, -q = y*j - 0*q + 2. Solve -12 = -4*h - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/4, -3\/4, -18593\/9, -2?\nAnswer: -18593\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/8*b**3 + 0 + 3\/8*b**2 + 6*b - 1\/16*b**4 + 3\/80*b**5. Factor v(x).\nAnswer: 3*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.1225548?\nAnswer: -3.8774452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*v**3 + 248307*v**2 - 248307*v**2.\nAnswer: -920*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) -5 (c) 5 (d) -3 (e) 0.3 (f) -33 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2597 (base 13) to base 3\nAnswer: -21100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1385*l + 9701. Calculate c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*2*3\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**4 - 509*s**3 + 200*s + 52 wrt s.\nAnswer: 60*s**2 - 3054*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 54*u - 441. What is the smallest common multiple of o(17) and 159?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51\/4 (b) -9 (c) 1 (d) 4 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -2 in decreasing order.\nAnswer: 0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 13*j**5\/20 - 53*j**3\/3 + 147*j. Find the second derivative of n(b) wrt b.\nAnswer: 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*p = 3439 - 1353 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/546 and 49\/71760?\nAnswer: 502320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 0.434938?\nAnswer: -17.39752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 48*l = -44*l + 1 - 29, 2*q = l - 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*a**3 - 17*a**2 + 83*a**3 - 18*a**2 - 172*a**3 + 52*a**3.\nAnswer: 45*a**3 - 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -35. Suppose -137 - 163 = -c*v. Solve -3*j + 12 = 5*z - 7*j, 4*z + 2*j - v = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/117 or 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = m - 24101, m - 16*l - 24051 = -18*l. What is the remainder when m is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x**2 + x**2 + 0*x**2 as w*x**2 + n + h*x and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose -4*h + 49 + 15 = b. Calculate the remainder when ((-27)\/6)\/(6\/(-40)) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6780 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 19. Let b be d(-14). Sort b, -1, -6 in decreasing order.\nAnswer: -1, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.3 - 56. What is the nearest to -1\/3 in d, -0.2, 4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4853116\nAnswer: 485311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, j: 2, e: 4}. What is prob of sequence dded?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1473715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 420?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185133 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648371751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -3\/2, 0.19, 1\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let l be m(0). Let n(v) be the second derivative of -4*v + 0*v**3 + 1\/20*v**5 + 1\/6*v**4 + l*v**2 + 0. What is the third derivative of n(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7 + 2*f**2 - 7. Let k(s) = -3*s**2. Determine m(k(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31202 - -114055?\nAnswer: 145301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -22, 416378 in descending order.\nAnswer: 416378, 1\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 + 148.1. Suppose -7*l + 2*l = 0. Suppose -4*g = 5*z + 10, l = 5*z - 10. What is the closest to 2\/9 in 0.5, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91451*n = 91496*n - 765 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876*g*p**4 + 2*g*p**2 - 47*g*p wrt p.\nAnswer: -10512*g*p**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -9, 32, -28\/15?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6252.336 nanograms to milligrams.\nAnswer: 0.006252336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -96*n - 6. Let o(d) = 32*d + 3. Calculate -3*f(b) - 8*o(b).\nAnswer: 32*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 0.4, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -9671?\nAnswer: -41\/9671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 2. Give y(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l - 5*l**3 + 1477*l**4 - 1342*l**4 - 105 + 5*l**3 wrt l?\nAnswer: 1620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 57 = 65. Suppose 3*x + p = 4*y - x, -3*x - 10 = -5*y. Let d = 84 + -88. Which is the closest to -2\/5? (a) d (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2724713320 + -2?\nAnswer: -2724713322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*h - 18 = 0, a - 3*a - 6 = h. Let z = -71 + 74.26. Let p = z + -0.26. Sort a, p, 2 in increasing order.\nAnswer: a, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4025 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 16514, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -0.04. Which is bigger: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36886 - 36867. Solve 28 - f = -9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 10 - 19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119026, 237907, 356802, 475717, 594658?\nAnswer: 713631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 15 + 23 + 2*w + (2*w - 1 + 1)*(-7 - 15 + 10).\nAnswer: -22*w + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 2\/7 (b) 0.2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 11*j**2 + 3*j - 8. What is the units digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/15 and -61\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.122 from -1704416832.\nAnswer: -1704416832.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -24\/11, -20.15 in increasing order.\nAnswer: -20.15, -19, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 707048816 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/35 (b) -1\/3 (c) 2\/51 (d) -6\/7 (e) -0.2 (f) 0.1 (g) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 6) to base 4\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(27) + 1 + -4)**2 + -1)*5.\nAnswer: -350 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogtddtotdddddootddot. What is prob of sequence gd?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -1168166 - 2468642. Let a = x - -780456. What is a rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/205 or -1?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 + 6. Let a = j + -1.299995. Round a to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and (-2)\/(-12) + 559\/(-208).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 19*d + 24. Suppose 149*o - 21 = 147*o - k, o + 3*k - 23 = 0. Give a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 1917*c\/4 - 479\/4.\nAnswer: -(c - 479)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2325\/325 + (2 - 9)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -9. Let y(l) be the third derivative of -5*l**4\/6 + 7*l**3\/3 - 17*l**2. Calculate the remainder when y(-3) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-10))\/(15\/50). Let o be 1077\/n*(-6)\/(-57). Let p = o + -8\/19. Find the common denominator of p and -81\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1354\/1161 + 39\/43. Let p = -78 - -2107\/27. Let q = p + l. Which is the third smallest value? (a) 0.2 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -0.4 (c) 1\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 51*j**2 - 48*j + 36. Calculate r(-50).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 32*h + 71. Determine x(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 209174?\nAnswer: 209177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Suppose 3*f - 27 - 9 = l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 3 (c) -0.3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 767 - -181688?\nAnswer: 182455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 8. Suppose 0 = -4*h + 4*a + 16, -6*h = -2*h + a - 16. Let w be (f\/h)\/((-72)\/128). Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 229 - 7240 = 0. Let r = i - 774. Solve l + 0*l + 4 = k, 0 = l - r*k + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -34*s**2 + 14*s - 5. Let i(z) = z**3 - 36*z**2 + 14*z - 4. Let f(m) = -2*i(m) + 3*p(m). List the prime factors of f(-16).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-10) - 1)\/(3\/(-285)). Let z be 1*9 + (-190)\/f. Put z, -8, 5 in decreasing order.\nAnswer: 5, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, h: 2}. What is prob of sequence kh?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**17 assuming x is positive.\nAnswer: x**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 14480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -10*z**3 + 164*z**2 - 64*z = 0?\nAnswer: 0, 2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 + 29 = 5*c, 2*n - c = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -6, -1\/6 in descending order.\nAnswer: 2, -0.1, -1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 2*r**2 + r. Let k be j(-2). Let m be -9*1 + 520\/26. Calculate the highest common factor of k and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17aac07 (base 13) to base 15\nAnswer: -a2bed5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2836948*j = 2836877*j - 4828 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -2.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210028.6 kilometers to meters.\nAnswer: 210028600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 139. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*o - 144329 + 135005 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 15. Let u(o) = 4*o**2 - 40*o. Determine u(f(y)).\nAnswer: 16*y**2 - 320*y + 1500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - -7 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-22 - -19 - (15 + -3)) + 5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n - 5. Let j(y) = -y - 1. Let g = -4 - -3. Let o be (-55)\/22*(g + 3). What is o*j(p) + u(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44157 and 5775?\nAnswer: 85002225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*f - 74*f**3 + 73*f**3 + 58*f)*(1 + 3 - 2).\nAnswer: -2*f**3 + 224*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 9831*a = 9834*a + 32, -7*a - 22 = -g - 3*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37772 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l - 4 - 4 + 2 + 3. Calculate the remainder when k(-6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*q = 7*q - 3591 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 576. Determine f(75).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 - 12*b**3 - 13*b**3 + 48*b**3 - 8*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 15 (c) -0.038 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.9281486 - -0.0713114. Let o = r + -21. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 2. Suppose 3*r = 5 - 17. Let m be s(r). Suppose -m = 4*n - 22. Solve -n*a = -5*v - 3, 0*v + 15 = -2*a - 3*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by 26\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -125 - 451. Suppose -1240 + 316 = -7*o. Let s = 148 - o. What is the highest common divisor of s and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3326 - -3335. Solve -t*p + 12 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37977650 smaller than -37977652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -179*y + 4951. Determine d(34).\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/24 + 12\/(-9). Let g(y) = 2*y**2 + y + 2099. Is g(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 36 = 18. Suppose 0 = -v + 3*v - c. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.9313 + 0.0687. Which is the fourth smallest value? (a) -5 (b) 5 (c) w (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 23873559?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, k: 5, c: 6, z: 4}. Give prob of sequence hzzk.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44021 (base 6) to base 10.\nAnswer: -6061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = z. Suppose -3*d = -5*k + 49, -3*d + 31 = -k + 6*k. Suppose 0 = -a + k - 5. Solve z = -2*y - a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 54283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 240, 486, 752, 1032, 1320, 1610?\n\"Answer: -m**3 + 16*m**2 + 205*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4, -5, -2271, 1, -13, -2 in decreasing order.\nAnswer: 4, 1, -2, -5, -13, -50, -2271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.3 + -8. Let s = -2.7 - q. Let g = 0.257 + -0.057. Which is the third biggest value? (a) g (b) 1\/10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5 - 6113 + 2749*i**2 - 5159*i**2 - 117*i**4 - 799 - 1485*i**3 - 4433*i**2 - 12384*i = 0.\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16601 + -16600.97. Does -649\/2 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.4 + 18.4. Let s = w - -3. Which is the nearest to -0.05? (a) 0.5 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-2*x + 7*x - 3*x) + 4*x - 3*x + 0*x - 7 + 4*x + 7 + 279 + 36*x - 34*x - 62)*(3 + 3 - 2).\nAnswer: 12*x + 868","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, v: 2, w: 2, f: 2, o: 4}. Give prob of picking 1 w, 1 f, and 2 j.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 + -147. Suppose -q + d + 88 + 9 = 0, 0 = 2*q + 4*d - r. Suppose -3*b = -7*b + 12, 4*b = 2*g - q. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*m**2 + 8587273*c**2 + 2*c*m**2 + 101*c*m + 7*m**2 + 2*m - 189 wrt c.\nAnswer: 2*m**2 + 17174546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 less than or equal to 276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-63))\/(1\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100000?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-6)*(5 + (-354)\/66). Suppose 0 = -4*p + p + 5*y + 73, -z*p + 37 = -y. What is the nearest to 1 in p, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, v: 3, t: 1, b: 2, r: 1}. What is prob of sequence vt?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (500 - 18*r - 500)*(1 - 3 + 3)*(41*r**2 - 75*r + 75*r) in the form g*r**2 + q*r + t + b*r**3 and give b.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*a - 10, -4*a + 5 = 2*h + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in -11\/4, 2, 1\/5, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 h, and 1 k when four letters picked without replacement from fkvkvvvbkhb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = -5*i, 3*t - 2 = -4*i - 0. Let p be (0 - t) + 5\/3. Sort p, -2\/7, -5\/4 in decreasing order.\nAnswer: -2\/7, p, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 187, 227, 303, 427, 611?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-4335)*(-136)\/(-24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 15 - (-4 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 279 = -5375. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 622 = 20020 - 1018. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/12 + o**3\/6 - 14*o + 3. Let u(w) be the first derivative of g(w). Is 4 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 4\/2987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136047 + 168464 = 28*q + 32211. What are the prime factors of q?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*f**2*r + 10366*f**2 - 48*f - r + 11455 wrt f.\nAnswer: -218*r + 20732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by -6.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695767 is divided by 154124?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428.8 to the nearest ten.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 10 - (-267 + 260)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 4*m**2 - 12*m**2 + 9*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/4 + 43\/4. Let a = x + -14. What is the nearest to -0.1 in 0, -2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5, -44, 3.7, -0.3, 1\/2?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 8*v - 4. Let q be g(9). Suppose -q*c = -72 - 13. Suppose -2*a + 19 = -c. Calculate the remainder when 35 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) + (1 + sqrt(304))**2) + sqrt(1216)*1 + ((sqrt(209) + sqrt(209)*-1)\/sqrt(11))**2)*4.\nAnswer: -2440 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 69, 84, 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000691110549 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 20. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726539.787 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17446*y**3 + 2183*y - 3177*y**3 - 2183*y.\nAnswer: 14269*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s + 79*s + 80 = 8*f, s = -3*f + 23. Suppose 0 = 2*b + m + 3, 0*m + 15 = 2*b - 5*m. Sort -5, f, b, 1.\nAnswer: -5, b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*j = -108 + 74, 236 = 4*g - 5*j. Calculate the lowest common multiple of 27 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d**2 + 10242*d - 788 = 0.\nAnswer: -394, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -333 + 170 + 163 + 2*s. Let t(q) = q. Determine 6*j(o) - 5*t(o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15860 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39\/8, -6, 3\/8 in decreasing order.\nAnswer: 3\/8, -39\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19294921 from -86978.3.\nAnswer: -86978.49294921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (31 - 2) - (9 - 14))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**4\/24 + 67*m**3\/6 + 13*m**2 - 43*m. What is t(-8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/20 + (1 - (-10)\/8). Suppose 2372 + 8294 = v*w + 3*b, -4*w = -4*b - 21332. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25527\/280555 - 2\/25505. What is the third smallest value in a, -11\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 64\/11, 0.2, 3?\nAnswer: 64\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 11402\nAnswer: -79814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226.2 + -338.5. Let h = 107 + k. What is h rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose -48 = m - r*m. Suppose -d = -4*d + m. Solve -d*x + 4*p = -24, 2*p + 3 = -x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132, 224, 316, 408, 500, 592?\n\"Answer: 92*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1986?\nAnswer: -2\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) - sqrt(36))\/sqrt(12) + 1)**2.\nAnswer: 10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(7920)*-1*-5)\/(-3*sqrt(99) + sqrt(22)\/(sqrt(4)\/sqrt(2)) + sqrt(11)))**2.\nAnswer: 288000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.3, -6, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279 - -279.4. Which is the biggest value? (a) -2\/13 (b) 0.04 (c) 2\/21 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17 + 3*20\/(-15). Let l be (-3)\/(-2 + 5\/4). Suppose x + l = g. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(28))\/((sqrt(72) - sqrt(8))\/sqrt(2)) - 5*(sqrt(3) + sqrt(12)*-1 - sqrt(30)\/(sqrt(10)*-1)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**3 - 30*d**2 + 6*d + 17. Calculate j(10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2336*t**2 + 130*t - 503. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7327704?\nAnswer: 2, 3, 503, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 3*u + h = 14, -4*u - 439 + 453 = -h. Let j be (-1)\/(-4) + 14\/8. Solve -u*q - w - j*w + 6 = 0, g = 4*q + 4*w - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93145817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4*w + 2 + 6.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhxj. What is prob of picking 1 h and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1225080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z + 5. Let x(r) = 2*r. Let f(b) = g(b) + 5*x(b). Give f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 3, -10.1, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Which is the nearest to 0.1? (a) 1 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -5.6. Sort 1, 0.3, v.\nAnswer: 0.3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124295*h - 125337*h + 26050 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5417.73436 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*v + 18, 3*v + t = -0*t + 8. Suppose -v*f + 3*f + 20 = 0. Let h be (1\/f)\/((-4)\/(-8)). Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 620*b**2 + 10*b - 7. Let m(w) = w**2 + 2*w - 1. Give 5*m(d) - y(d).\nAnswer: -615*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096544571?\nAnswer: 3, 365514857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19097 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 35322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1359*c + 49. Let i be a(-6). Let p be 164007\/20 - 2\/(-4). Let s = i - p. What is the common denominator of s and 13\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3179 divide 469671818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**8\/4032 - p**7\/2520 - 11*p**5\/20 + 2*p**2. Let c(f) be the third derivative of d(f). What is c(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let v be b(1). Let m be ((-6)\/7)\/(36\/(-378)). What is the second derivative of 16*d + 2*d**3 - m*d**v + 4*d**3 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 - 10*j**2 + 17*j**2.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 6*k + 6. Let c(l) = 3*l**2 + 17*l - 17. Suppose -30*t = -33*t - 51. Let w(n) = t*z(n) - 6*c(n). Let o(j) = -32*j**2. What is o(w(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3 + 802*o**2 - 87700*o + 2255000 = 0.\nAnswer: -902, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:17 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) -0.7 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u + 3*a = 14, 2*a = -u + 1. Let l(z) = -4*z + z - 3*z + u*z. Let j(c) be the third derivative of -c**5\/20 - 3*c**2. What is j(l(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -19800.\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 11*g = 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 108, 170, 236, 306, 380, 458?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -0.2, 17, -2\/7.\nAnswer: -2, -2\/7, -0.2, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than 1.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*1*108\/63. Let k be l\/(-9)*75\/10. What is the units digit of (4 - k)*(-7 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.78 in 0, 1, 3\/5, -1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -23797?\nAnswer: -23797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 12:08 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a. Let b(v) be the first derivative of 40 - 32 + 2*v**2 - 3*v**2. Determine b(r(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 37. Let p be -1 + 1 - 2\/3. Let t = m + p. Is t at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 348.743 - 341.74302. Let t = g - 7. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r + 4. Let w be n(-2). What is the second derivative of -9*h**w + 14*h + 36*h**2 - 61 + 61 wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34244367181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g + 1 + 3*g + 179*g**2 - 318*g**2 - 3*g wrt g.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l + 3*l + (2*l + 0*l - l)*(-4 + 2 + 3) + 11 + 9*l - 11 + 2*l + 4 - 2 - 1 + (-2*l - 2*l + 3*l)*(0 + 4 - 2).\nAnswer: 11*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920 and 4014520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/2 - 9*t**3\/2 - 21*t**2\/2 + t\/2 + 15 = 0 for t.\nAnswer: -5, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3 - b + 40*b - 38 + 83*b wrt b?\nAnswer: -3*b**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + i - 34 = 0, -3*w - 5*i + 11 = -15. Let k = 16 - w. Suppose 0*u - 21 = -k*u + 3*m, -3*m + 6 = 5*u. Solve 4*n = 3*n + u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3808474974.\nAnswer: 2, 3, 461, 458963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 + -c4?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-507)\/(-13)))\/(33\/9).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-34 - (15 - 29)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014594 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 + 23*t**2 + 7*t + 5. Calculate q(3).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = 1. Let v = 22 - 28. Let f = v - -4. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 + 3*z**2 + 3*z - 2. Let l(k) = -1 + 5*k**2 - 3 + 9*k**3 + 1 + 5*k + 0. Let c = 6 - 1. Calculate c*d(t) - 3*l(t).\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*y - 5*f + 38, 0 = 5*y + 5*f - 50. Let x be 1*(2 + -7) - -9. Suppose -5*s = x*a + 3 - 6, -5*a + 9 = s. Solve -3*w + y = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 82 - 42 + 158 + 97*q.\nAnswer: 97*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 1.6. Let n be 16\/(-28) + (139\/(-63) - -3). Let p = 5\/36 - n. Put y, -4, -0.3, p in increasing order.\nAnswer: -4, -0.3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6873607.\nAnswer: 13, 73, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 3. Suppose -127 - 138 = 5*d. Let s = -55 - d. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4)*-1*1054\/(-51). Let f = x + -73. Calculate the remainder when 239 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4420153?\nAnswer: 17, 260009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21368350.8us to days.\nAnswer: 0.000247318875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/2))**44\/((w*w**11)\/(w**(-4)\/w*w)) assuming w is positive.\nAnswer: w**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 37. Let i be 8\/3 + (-6)\/p. Suppose 0 = -i*r + 9, -5*f + 2*r = -0*r - 194. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (91026\/(-1326) + 69)*(2\/(-12))\/1\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754*u - 1765*u - 1736*u + 5294*u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r = 18. Suppose 0 = r*b + 5*b - 42. Solve 6*k = 4*k + b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**6\/45 + f**4\/6 - f. Let b(j) be the third derivative of n(j). Calculate the lowest common multiple of b(-1) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.5 - -11. Let r be (1 - 2)\/(-2)*0. Let z be (r\/(-2))\/(-1 - -2). What is the second smallest value in l, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*b**3 + 41 - 41 + 18*b**2 wrt b.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*i + i**3 + 1 + 4*i**2 + 47*i - 3 to g + t*i**2 + f*i**3 + x*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2470171 divided by -5?\nAnswer: 2470171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -240, -545, -972, -1521, -2192, -2985?\n\"Answer: -61*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47\/6 - (-2)\/12 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/24*(-28)\/32*-8.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 4*h**3 + 4*h**3 - 4*h**3 + 3*h**3 + h. Let q be f(-2). Let i be 2\/4 + -1 - 644\/(-8). What is the greatest common factor of i and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, -50, 9 in descending order.\nAnswer: 28, 9, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-10)\/(-75)*5. Suppose -3*j = -4*m - 70, -j - p*m + 57 = 23. Solve 3*g + 3*y = 2*y + 16, -j = -5*g - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3170.638 micrograms?\nAnswer: 0.003170638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 8. Let w be v*(-2)\/(-8)*2. Let i(t) = -w*t - t + 0*t. Let k(j) = j**2. Determine i(k(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34826737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1515097 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + 111 - (-2 - (-5 + 2) - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1377 by -153.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -17 + (4 - 1) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31849769 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -322.\nAnswer: 128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.24971 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 5. Suppose -v - v = -n. Let b(k) = k**2 - 4*k - 8. Calculate the least common multiple of b(v) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s - 28. Let u(b) = 2*b - 2. Calculate -p(z) + 5*u(z).\nAnswer: -5*z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**2 - 23*g**2 + 10*g**2)*(-g + g - 2*g**2) + (5*g**2 - 2*g**2 + 3*g**2)*(g**2 + 0*g**2 + 4*g**2).\nAnswer: 78*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 + q**3)*(5 - 5 + q) + (-3*q**3 + 3*q**3 + q**4)*(0 + 1 + 0).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 948 - 159263\/168. Let l(z) be the third derivative of 0*z + 1\/10*z**6 + 0 + o*z**8 - 3*z**2 + 0*z**3 - 2\/15*z**5 + 1\/12*z**4 - 4\/105*z**7. Factor l(n).\nAnswer: 2*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q - 1. Let g = -2 - 1. Let h(k) be the first derivative of 7*k**3\/3 - 3*k**2\/2 - 3*k - 190312. Give g*o(b) + h(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 - 4*t - 2. Suppose 0 = 2*g - 2, -3*g = r - 3 - 3. Suppose -5*i = r*a + 31, -a = 3*i - i + 12. Calculate m(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 29*b + 18. Let t be r(-15). Let z be 2\/(28\/(-12) + t). Solve -2*s + 2*w + z*w = 14, -s - 4 = -w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/2 + 4*r**4 + 12*r**3 + 16*r**2 + 8*r = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 27 + -31 + 15?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16 - -3) + -5 + 15)*-9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -113, -9.\nAnswer: -113, -9, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + u = 13, 2 = -2*o - 0*o + 2*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + 5*q + 7. Determine x(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 23*n - 279 = 0. Suppose -f = 3*k - 101, 2*f = -4*k + 43 + n. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*d**2)*(30*d - 23*d + 30*d)*(-18*d + 99 - 99).\nAnswer: 1332*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (2 + -2))\/(5\/2). Let r = -1.5 + 0.7. Is r greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Suppose 0 = -4*t - 3*t + 35. Let u be y(t). Solve i + u*i + 15 = -v, -5*i + 2*v = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1076, -3 in decreasing order.\nAnswer: 1076, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 8) + (0 - -1). Let h(n) = -6*n - 2. Let o be h(-2). Let z = b + o. Solve z*p = 2*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-272)\/357*3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15201\/5 + -3050. Find the common denominator of -87\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s + 38. Let z(a) = 10*a - 4. Let o be z(2). What is the hundreds digit of t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 996*h = -998*h - 28, -3*h + 144 = -68*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.1. Let k = -0.4 - -0.6. Let f = -1.2 + k. Which is the second biggest value? (a) f (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4735 + -82.5565. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 101045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -66)*(-10323)\/(-33263)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8*p. What is b(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252294597 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 478*s - 25641. Determine u(81).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12803*u**5 - 11*u**3 + 3*u - 82510?\nAnswer: 256060*u**3 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n - 0*n. Suppose n*m - 81 = -y, -7 = -m + 2*y + 7. Calculate the remainder when 61 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202141*b**3 + 2 - 6*b**4 + b**2 + 32*b - 33*b + 202129*b**3 to q*b + t + g*b**3 + o*b**2 + u*b**4 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12) - 39\/(-18). Suppose 180 = 4*s + 5*b, 5*s + j*b - b = 204. Let i = s - 85\/2. Find the common denominator of i and 7\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - 214. What is the units digit of ((5\/(-10))\/(-1))\/(v\/(-1596))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 + 10*o**2\/9 + 208*o\/9.\nAnswer: -2*o*(o - 13)*(o + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010490 or 1010547?\nAnswer: 1010490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 6. Suppose -4*a - 80 = -4*p, -48 = -2*p - 0*a - c*a. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2626982 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7555 or 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/(-65*116\/1131)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1222350 divided by 2\nAnswer: -611175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69322 divided by 274?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*m - w, -8*m = -5*m - 4*w - 17. What are the prime factors of (m*2 - 1)\/(51\/3060)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918359021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 1. Let f(a) = -12*a + 1. Let y(v) = 5*f(v) + 8*i(v). Let r be y(2). Suppose -r*k + 118 = -2. What is the lowest common multiple of k and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4*p + 3. Let v be s(4). Suppose -3*j + 4*w - 5 = -0*w, w + 1 = v*j. Which is bigger: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)\/a*a**2)**40\/((((a**(-3)*a)\/a)\/a**(-2\/21))\/(a*a**3*a*a\/a**(-3\/8))) assuming a is positive.\nAnswer: a**(40517\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. Let s be o(-1). Let j(y) = -4*y**2 + 4*y**2 - 4*y**s + 1. Calculate j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2836*z = -5680*z + 2839*z - 5*c - 10, -4*z + 4*c = -32 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50100497 to the nearest integer?\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from mxuxueummxuxmvuuuv?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12100011020 (base 3) to base 13\nAnswer: -38aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.05 + -9. Let v = -0.16 - h. Round v to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4\/117, -1\/3, -3, -0.2, -1, -317?\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -7\/24*g**4 - 2*g**2 + 1\/2*g**3 + 0*g + 0. Let j(w) = -11*w + 5. Calculate 5*j(h) - 8*n(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 836*s + 2*s**4 - 836*s - 12 + (0*s**2 + 0*s**2 - 2*s**3)*(22 + 26 + 54*s - 50).\nAnswer: -106*s**4 + 4*s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15445, -30515, -45585?\n\"Answer: -15070*z - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252) + -3 + 2*sqrt(252) + sqrt(252) + 0 + sqrt(252) + 1 + -4 - (-3*sqrt(252) + 3 + -1*(sqrt(252) + sqrt(252)*-3)))**2*6.\nAnswer: -4536*sqrt(7) + 74574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591055869 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 35*i**3 - 50*i**2.\nAnswer: -5*i**2*(i - 5)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -1\/360*u**6 - 1\/90*u**5 + 1\/315*u**7 + 0*u + 0 + 1\/72*u**4 + 0*u**3 - 9*u**2. Suppose a(k) = 0. What is k?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77 + -2 - -1) + 23378 + -23388\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*q - q = -14, -2*h + 4*q = 0. Which is the nearest to -8? (a) h (b) -5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 76, -2\/29, 5?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*d + 960 = -272 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317\/10 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 321928, 1287676, 2897246, 5150638?\n\"Answer: 321911*l**2 + 15*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331097642?\nAnswer: 2, 4787, 34583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 38, 5, 0.4, 15, -4, 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - i = 15, -10771*i = -4*d - 10772*i + 65 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 + 6*j**3 - 3*j**3)*(0*j + 3*j - 2*j) + (-4*j**3 + 4*j**3 - 2*j**3)*(-7 - 99*j + 7) - 2*j**2 + 2*j**2 + 3*j**4.\nAnswer: 199*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0210742 to 4 dps.\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(200).\nAnswer: -6 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 23*q - 46. Calculate the remainder when n(4) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 - -210. Let r(q) = 2*q**2 + 4*q - 1. Let x(g) = g**3 - 9*g**2 - 17*g + 4. Give u*r(s) - 2*x(s).\nAnswer: -2*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.62 plus -0.04015?\nAnswer: 15.57985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 996*d**2 - 32*d - 517. Is z(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.266*3.\nAnswer: 9.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -0*u. Solve -u*x - 5*q - 2 = -x, 1 = 2*x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 209888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2992 + -848. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.258 + -6.2. Let f = 3.942 + d. What is the biggest value in -4\/3, 1, f, -1\/26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -69. What is the remainder when 65 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -435, -649, -863?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 90 = 3*b, 5*o - 2*b - 40 - 105 = -7 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 996528, 1993008, 2989488?\nAnswer: 3985968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 + 2*x + 16. Is h(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2601, -4791, -6981, -9171, -11361?\nAnswer: -13551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -47. Let c = 31 + x. Which is smaller: 25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 85*y**2 - 107*y - 219. Give r(-2).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-6))\/((-109)\/(-327)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 2*p**2 - 3*p - 5. Let v be d(0). Let y(a) = -a - 3. Let l be y(v). Solve 4*h + h + 18 = -2*q, l*q - 3*h = 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/67, -5, 1\/4, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2. Let i(o) = -2*o - 10. Let y(b) = -2*b - 15. Let d(j) = -6*i(j) + 4*y(j). Calculate d(q(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*r + 84*r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14103.5 + 14103. What is the fifth smallest value in 3, 2\/11, 1\/13, -15, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (131\/1 - (2 + -2)) + -1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5857*u - 191 + 5070 = -5758*u + 226 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*4\/72*900\/270.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -5)*2\/3. Suppose 5*x = -n + 144, -d*x - n + 86 = x. Suppose 106 = 5*o + c, 5*o - 2*c + x = 147. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 105\/4 + (-8)\/32. Let l be 12\/78 + (-888)\/v. Let q = 37 + l. Put 5, q, 0 in descending order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*r**2 + 134*i**2*r + 2*i*r**2 - 166*i wrt i?\nAnswer: 2*r**2 + 268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 306555511 + 55219\nAnswer: 306610730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/11 (b) -5 (c) 35\/6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39257 - 21579. What are the prime factors of l?\nAnswer: 2, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**3 - m**2 - 13*m + 13. Let o(c) = -3*c**3 + 4*c - 4. Calculate -7*o(i) - 2*v(i).\nAnswer: 3*i**3 + 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -720*f**3 - 7*f**2 + 15*f - 22. Let r(x) = -361*x**3 - 3*x**2 + 7*x - 10. Let n(b) = -7*r(b) + 3*z(b). What is the tens digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 a factor of 30362998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and -1.3178314199.\nAnswer: -1.3878314199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3997812 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p**(-31)*p*p*((p\/(p\/(p**(-26)*p)))\/p)\/p*(p\/p**10)**(-2\/65) assuming p is positive.\nAnswer: p**(-3427\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/6 + c**2\/2 + 2*c\/3.\nAnswer: -c*(c - 4)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 51. Let i(o) = -5. Determine 12*i(k) + u(k).\nAnswer: -3*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302 = -4*s + 806. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104602 is divided by 218.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 39 = 2*z. Let s = -31 + z. Factor -1\/5*y**2 - y**4 + 2\/5*y**5 + 4\/5*y**3 + 0*y + s.\nAnswer: y**2*(y - 1)**2*(2*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 0\/((-12)\/3). Let s be 16\/2*w\/252. Factor 0*l**3 + 2\/9 + 2\/9*l**4 - s*l**2 + 0*l.\nAnswer: 2*(l - 1)**2*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-3)\/54*1). Suppose -58 - 50 = -9*s. Calculate the highest common divisor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**(1\/20)\/(r*r**(-23)*r*r**15*r) assuming r is positive.\nAnswer: r**(449\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2017111*-4\nAnswer: -8068444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p - 5. Let x(b) = b**2 - 10*b + 28. Let w be x(5). Let a be k(w). Let l(r) = -r**3 - 4*r**2 + 10*r - 16. Is l(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*l = -10, 14*o - 9*o - 2*l + 25 + 8 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341875?\nAnswer: 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.75 - -0.05. Let n = -17\/279 + -5\/31. What is the smallest value in s, n, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, 89, 614, 1641, 3338, 5873, 9414, 14129?\nAnswer: 20186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 47 - 39 - (12 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7189 + 7189.2. Let c = -4 + 29. Sort t, c, 2 in increasing order.\nAnswer: t, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 197*r - 1435. Calculate d(-92).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353580?\nAnswer: 2, 5, 67679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:41 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52\/30*3\/4*(-682)\/341\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from nbeoreeeebmeer.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262341, 262448, 262555, 262662, 262769?\nAnswer: 262876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/q*q)**(4\/13)\/(q**(16\/5)\/q*q)**(2\/11) assuming q is positive.\nAnswer: q**(188\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-25)\/(-850)*-17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*v**4 + 2)*(1067*v + 11922*v - 4871*v).\nAnswer: -16236*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, -2, 7, 20?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63a (base 12) to base 5.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 6. Let j(s) = s**2 - 1. Let k(x) = -6*j(x) - q(x). Let y(o) = 2*o**2. Calculate k(y(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h**(6\/5)*h))\/h)\/h*h)\/h**(-23))**(1\/4))**(-28) assuming h is positive.\nAnswer: h**(-728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(143) + 2*sqrt(143)*-3)\/((5*sqrt(121))\/sqrt(11)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1347471 by 79263.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4533*w - 1418. Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, o: 2, q: 9, x: 4}. What is prob of sequence xpqx?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.32 - 8.65. Let v = 26.73 + q. Let j = v - 30.39372. What is j rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 34 = 4*w, -2*z - 2*z + 47 = 5*w. Let y(m) = -36 - w*m**2 + 96 - 47 - 5*m**3 - 17*m. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217986 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 2*r + 0*r)*(-2 - 2 - 1) + 0 + 3*r + 0 + r + 3*r - 3*r + (-3*r + r + 4*r)*(-4 + 3 + 0) + 2 - 2 + 5*r)*(3*r**4 - 2*r**4 + r**4).\nAnswer: 34*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3.3521, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 35*c - 16. Let h be q(-11). Solve -2 = -r - h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34753 is divided by 183.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p + 2*f, 2*p - 3*f - 25 = -3. Solve -p*y = 1 - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68 - (-119 - -24)) + -7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26919663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let w(u) = -6*u**3 - 1. Let q = -26 - -29. What is the lowest common multiple of q and w(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 119.13. Let p = 0.27 + x. Let i = -4.36 + p. Round i to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*z = -13 + 9, 4*x - 5*z - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = r, -31*r + 27 = -b - 26*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + w - 1. Let j be u(5). Suppose 40 = 5*y + 5*d, 3*y - 28 = y + j*d. What is the highest common factor of 70 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*33\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 - 10*c + 8. Calculate the remainder when (-1)\/(-4) - 518\/(-8) is divided by s(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 313.999821 - 314. What is w rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-1)\/(14\/140) + 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -24.7. Let d = 34 + f. Let j = 11 - d. Sort j, 3\/7, 0.4.\nAnswer: j, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -24. Suppose -2*q = b*n + 10, 4*n + q - 15 = 4*q. Sort -5, n, -1.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:25 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 246*d**2 - 3*d + 347. Calculate the remainder when 1303 is divided by a(82).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:13 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r + 0 + 1\/20*r**5 - r**3 - 5\/12*r**4 - 3\/2*r**2. Let n(h) = h**3 + 4*h**2 - 6*h + 1. Let d be n(-5). Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n**(-1\/13)*n assuming n is positive.\nAnswer: n**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 5 + 43 = 0. Let t(g) = -g - 4. Suppose -5*h + 7 = 32. Let m be t(h). Sort 2, b, m.\nAnswer: m, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*37\/((-2035)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, -4, -884797 in increasing order.\nAnswer: -884797, -5, -4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1173, 4733, 10657, 18939, 29573, 42553, 57873?\nAnswer: 75527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22116, -22118, -22120?\nAnswer: -22122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22209653 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:59 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -430 and 16.\nAnswer: -6880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t**3 - 5*t - 9. Is l(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200102 + 142?\nAnswer: 1200244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 = -77*t + 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 15*p**3 + 174249*p**2 - 170188*p**2.\nAnswer: -p**3 + 4061*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouju when four letters picked without replacement from {o: 4, u: 12, j: 4}.\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*i*r**3*t - 4*i*r**3 - 23*i*r**2*t + 115*i - r**3 wrt t?\nAnswer: -9*i*r**3 - 23*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11dbae (base 15) to base 13.\nAnswer: -23cb19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2 + o - 2 + 4 - 21*o - 9.\nAnswer: -20*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let c(q) be the third derivative of -107*q**4\/4 + q**2 - 310. Determine u(c(m)).\nAnswer: 642*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4*(6\/15)\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5949, -11976, -18003?\nAnswer: -24030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 16*o + 7. List the prime factors of h(-12).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.99555ug?\nAnswer: 0.00000000000299555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -4 + -61 - (67 - -2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407602 is divided by 2192.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 13 (c) -7354 (d) -2\/5 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -63 + 37 + 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-5 + 0 + 1)*(6*p**3 - 5*p**3 + 9*p**3).\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*l - 40. Solve -l*k + 4*c = 8*c - 8, -3*c - 16 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 4*x - 6. Calculate g(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 58256934*c + 29128468.\nAnswer: -2*(c - 14564234)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 169 + 77 + (4 - 1 - 5)*(-2 + 3 - 2))*(-3*f**4 + 3*f**4 - f**5).\nAnswer: 104*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72422 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*k - 8, 5*i + 4*k - 20 = 6*i. Suppose -4 = 5*u + 11. Sort -2, u, i, 0 in decreasing order.\nAnswer: 0, -2, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 2*o**2 + o. Let c be x(2). Let w = -12 + c. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5662, 11284, 16906, 22528, 28150?\n\"Answer: 5622*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/120 and 43\/3320?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c + 2*d - 32, -6 = -c - d. Let q(w) = -w**3 + 22*w**2 - 20*w - 3. What is the remainder when q(21) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(f - 5*f + 3*f) - 2*f + 6*f - 2*f - 2*f + 0*f + 0*f + ((0 - 3 + 5)*(0 - 3 - 1) + 16 + 2 - 4)*(-f - 3*f + 9*f).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**8)**(-38))**(-29))**(-7\/5) assuming n is positive.\nAnswer: n**(-61712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 53.9608 nanoseconds?\nAnswer: 0.0539608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*w - 2*m, w - 5*w = -m + 18. Suppose -6 = 19*z - 16*z. Let v be (-4)\/z*(-2)\/(-6). What is the closest to v in w, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 31 - 256 = 0. What is the first derivative of d - 64*o**2 + 2*o**2 + 3*o**3 - 15 - 4*o**3 wrt o?\nAnswer: -3*o**2 - 124*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 0*l**3 - l**3 + 1 + 3*l**2. Suppose 0*o + 3*o - j = -16, 3*o + 20 = 5*j. Let k(b) = -b**2 - 6*b - 3. Let y be k(o). Calculate t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99813197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 - -407. Let v(h) = -h**2 - 6*h. Let n(m) = -87 + 41 - 2*m**2 - 11*m + 47. Let q(b) = -3*n(b) + 5*v(b). What is q(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*p**3 + 714220*p**2 - 121409437 wrt p.\nAnswer: -36*p**2 + 1428440*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*v**2 - 18 - 88*v**2 - 52*v**2 - 52*v**2.\nAnswer: 2*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - 3\/(-4) - -27. Suppose -5*g = -4*o - c, -5*g + o = 2*o - 12. Solve -g*t + b = 0, -3*t + 12 - 3 = 2*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.165 + -12444?\nAnswer: -12392.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 10. Suppose 3*b + 72 = -3*b. Let i be h(b). Solve 2*r - 3*g + 11 - i = 0, -3*r + g = 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 465620 and 14384?\nAnswer: 54011920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 56.971. Let z = m + 0.0645. Round z to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -390. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18640238 to the power of 1\/2, to the nearest integer?\nAnswer: 4317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + ((-1*sqrt(4000))\/(sqrt(64)\/sqrt(8)*-5))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 32.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 39617*p + 237717. Determine r(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + 3*55\/210\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 4. Let h be k(-6). Suppose -b + 608 = 3*b. Let g = b - 460\/3. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -519422429 or -519422428?\nAnswer: -519422428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.1 (b) -3 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 3*x + 2*x**4 + 17*x**3 - 27*x**3 + 11*x**3 to i*x**3 + v + w*x**4 + c*x + z*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/5 + (-2)\/5. Suppose -3*m - 306 = -8*m - w, -300 = -5*m + 5*w. Let s = x + m. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352610381?\nAnswer: 352610381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/16 + (-1)\/(-4). Let k(p) = 5*p + 26. Let j(g) be the first derivative of -2*g**2 - 25*g + 144. Let i(s) = f*k(s) + 5*j(s). Differentiate i(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {o: 1, i: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9584\/3 - 3194. Which is the fourth smallest value? (a) r (b) 5 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:05 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4589968 and 2608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -48. Calculate the least common multiple of h and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*n - n + 5*i, 4*i = -5*n + 372. Let y = -37 + n. Is 10465\/y - (-2)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose 0 = -79*i + 84*i - 1625. Suppose d + 148 = 3*c - 192, -3*c + i = -h*d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 741187, 741315, 741447, 741583, 741723, 741867?\n\"Answer: 2*s**2 + 122*s + 741063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449379*p = -449366*p + 505 + 483 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrirl. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 5*d**2 - 10*d + 23. Let u be r(-5). What is the remainder when (-3)\/(u\/76 + -3)*10 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s. Let x(n) = -29*n**2 + 11*n. Let b(r) = 15*r**2 - 6*r. Let o(q) = -11*b(q) - 6*x(q). Give l(o(g)).\nAnswer: 171*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k - 24*k - 462 = -113*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8*j = -3*j - 17, n = -2*j + 12. Suppose 4*y - 7*y = -6. Calculate the remainder when n is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -100?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -62365.366?\nAnswer: 2494.61464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 - 8*j + 8*j)*(-4*j - j + 4*j)*(-2*j + j + 3*j)*(-2*j - 2*j + 5*j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16724 (base 8) to base 10\nAnswer: -7636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 81 = 0. Let m = t - 79. Solve m*k + 3 = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 8:23 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 18. Let c be v(-10). Let r be (-12)\/14*(-280)\/30. What is the greatest common factor of r and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 = -0. Let y(i) = -5*i**2 + 6*i + 6. Let j(a) = a**2 + 30*a - 345. Let s be j(9). Let v(n) = -5*n**2 + 7*n + 7. Determine s*v(b) + t*y(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 14*v - 84 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*d*g*i**2 + 48202*d*g + 358*d*i**2 + 3*d - 29*g*i**2 + 2*g wrt i.\nAnswer: 232*d*g*i + 716*d*i - 58*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18069 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10124?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 159, 1, -4, -5, 22 in increasing order.\nAnswer: -5, -4, -1, 1, 22, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n - 5. Let s(v) = -v + 30*v**2 - 17*v**2 + 9 - 15*v**2. Let l(d) = -5*j(d) - 2*s(d). Let z(x) be the first derivative of l(x). Give z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 131078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 908011 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = -5. Let d(m) = -13*m - 6. Let g be d(-2). Suppose 0 = -k + 5*a - g, 5*k + a - 45 = -3*a. Calculate the greatest common factor of c and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - 657?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**2*z**6 + 29*s**2*z**5 - 2*s**2*z**2 - 2*s*z - 10*z**2 wrt z?\nAnswer: 120*s**2*z**3 + 1740*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4056 + 2)*(-3)\/1*(-5)\/3.\nAnswer: 2, 5, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/206280 and -53\/1129383?\nAnswer: 45175320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 4*w = -250. Let g = 43 + -30. What is the remainder when w is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/60 + 57*i**2 + 10. Let k(q) = -77*q**2 + 18. Give y(k(j)).\nAnswer: -5929*j**4 + 2772*j**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**4 + 0*n - n**5 + 0*n**2 - 10\/3*n**3 - 25. Find the third derivative of p(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-31)\/((-1953)\/6))\/(2\/(-66))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 92 = -24*s, 2*v + 73 = -24*s + 19*s for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + d + 3 - 23 + 0 + d. Does 8 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + a + 29774 = 0, -9*v + 29776 = -5*v - 2*a. What are the prime factors of v?\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3 - 6*x**2. Let j(o) = -2*o**3 + 2*o**2. Let h(c) = -8*j(c) - 3*n(c). Let k be h(-2). What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 92256*t + 1063896192.\nAnswer: 2*(t - 23064)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -1\/12*u**3 + 1\/8*u**2 + 1\/20*u**5 + 0*u - 1 - 1\/16*u**4. Let z(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316670 or -316667?\nAnswer: -316670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 6) + 4 + 36974\/(-14). Round r to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4383 is divided by 169?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15738520 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 41439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 460aa (base 12) in base 15?\nAnswer: 1ca47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -34 - (5 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-2) + (-2 - 15\/(-10)). Let p(q) = -t*q**2 - 3*q + 14 - q**3 + 8*q + 3*q**2 + 4*q. Let z be p(-7). Solve z = -4*h + 16 - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 11. Let u be r(6). Suppose -u*s + 4*l + 68 = -39, 5*l = 5*s - 110. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 at least as big as 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaasakapawksak. What is prob of sequence skp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 493, 1108, 1969?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 13*w**2 - 12*w + 15. Let t be z(-12). Suppose 5*a - 4 = 21. Solve -a*c + g - 6*g - t = 0, -3*c - 4*g = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 9 - 7*s + 4*s**3 - 8*s**2 - 5*s**3 - 6*s. Let y be o(-7). Let v = -4 - y. Which is the closest to v? (a) 1 (b) 1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 42. Calculate the smallest common multiple of 3*(-2 + (-10)\/(-3)) and 7 - t\/(-20)*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10828 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55\/6 (b) -343 (c) 2\/9 (d) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*i + 2*u, 4 = -4*i - 3*u + 6*u. Suppose -2*d + o = -0*o - 21, 0 = 5*d + i*o - 30. Let v = 7 + -1. Calculate the lowest common multiple of d and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 237.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 54404776+-3394\nAnswer: 54401382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by 5.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 40. Let j be (2 - (-21)\/(-12)) + (-6)\/f. What is the tens digit of (1\/1)\/(j*2\/114)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d + 5*d + 403 - 416 + 10*d**3 - 12*d**3 to t*d**3 + w + k*d**2 + l*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-18) + (-16)\/(-3). Suppose -3*s + s - 6 = -2*g, -4*g - 3*s = -l. Suppose -g*w - 13200000 = -0*w. Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*b**3 + 1237*b**2 - 1142542*b?\nAnswer: 696*b + 2474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-6))\/((-6)\/(-20250)). What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Is (664\/g + 5 + -6)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 191 in descending order.\nAnswer: 191, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.07053t in kilograms?\nAnswer: 7070.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79, -33, -217, -473, -801, -1201, -1673?\n\"Answer: -36*x**2 - 4*x + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rofffouuumfree.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:00 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 9 + (-24 + 56 - 33) - -4) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x**3 + 772*x**2 + 448*x - 304 = 0.\nAnswer: -38, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1290.\nAnswer: -1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 841, 1374, 1911, 2446, 2973, 3486, 3979, 4446?\n\"Answer: -l**3 + 8*l**2 + 516*l + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 + 54*o - 15. Let b be p(4). Solve -b*s = -25*s + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03030402316 to five decimal places.\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.5 - -23. What is the third smallest value in -3\/7, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/5 + 5*r**4 - 18*r**3 - 486*r**2 + 2*r + 1943. Factor w(h).\nAnswer: -4*(h - 9)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*q - 7 - 2, 4*x = -2*q. Let m be 28\/6 + (-6)\/9. Find the first derivative of -q*h**4 + 1 - 4 + m wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -140.7. Put -0.4, -3\/2, 2\/3, x in descending order.\nAnswer: 2\/3, x, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -50, -114, -204?\n\"Answer: -13*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5\/3 + 3\/2*j - 1\/6*j**2 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20711 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 4*s - 37*s + 0*s.\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oohoooh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10099, 10093, 10085, 10075, 10063?\nAnswer: 10049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19 - 17)\/((-1)\/(-3)) - 94\/16 and (-1)\/3*74\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.68 and 152559.\nAnswer: 152551.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 3}. Give prob of sequence iy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -22001?\nAnswer: 22010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 1094*c + 2. Let d(o) = -o - 481. Calculate k(d(q)).\nAnswer: 2*q**2 + 830*q - 63490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2. Let z(b) = 4 + 2 + 5*b**2 - 1 - 2. Let r(k) = -5*k**2 - 2. Let q(c) = -3*r(c) - 2*z(c). Determine l(q(x)).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.02 (c) -17\/5 (d) -3\/11 (e) -1\/5 (f) 24 (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22939 and 219637648.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/125488 and 15\/8.\nAnswer: 125488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/((-4)\/(-988)). Let j be (2\/2 + l)*4\/(-6). Suppose 0 = -2*v - 158 + j. Solve 2*w = -w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/14)\/((-1)\/(-8)). Let l be (-12)\/2*n\/32. Sort -4, 1, l in increasing order.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 74, 112?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnnnpnnnnnnnn?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3990)\/5586)\/((-100)\/(-14)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559 divided by -311468.\nAnswer: -559\/311468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*j + 1 - 1 + 0.\nAnswer: -862*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 2, s: 8, b: 1, q: 1, f: 3}. What is prob of sequence sbxx?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 + 12*m - 6. Let i = 67 - 72. Let r(d) = -6*d**2 - 10*d + 5. Let z(n) = i*k(n) - 6*r(n). Let b(a) = -7*a. Give b(z(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8092*n - 4014*n - 2*n**2 + 5*n**3 + 2*n**2 - 4078*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdes when four letters picked without replacement from {s: 2, f: 4, k: 7, d: 1, e: 3}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -12*q + 47 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121 (base 9) in base 3?\nAnswer: 202010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97736 or 97737?\nAnswer: 97737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 + -20)*-1*1\/5. Sort -1, 1, g, -0.1 in decreasing order.\nAnswer: 1, g, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381 + -361. What is the remainder when 196 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1058.393ml?\nAnswer: 1.058393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Let l(z) be the second derivative of 0 + 2*z + 0*z**w - 1\/6*z**3. Let x(a) = 3*a. Determine l(x(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + l**2 + 4 + (2 - 2 + 2*l)*(-3*l - 3*l + 4*l) - 6*l**2 - l**2 - 64*l + 65*l.\nAnswer: -10*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)\/m**0*m**(-9)*m**(-8) assuming m is positive.\nAnswer: m**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -80. Let y(r) be the first derivative of -3\/5*r**2 + h*r + 2\/15*r**3 + 5. What is a in y(a) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226 and 131645.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -610\/9?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -49 - 7*o**2 + 49. Let h(i) = i**2. Calculate h(t(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -21*v. Let j(f) = 22*f. Give 5*j(y) + 4*p(y).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 1. Let u = -0.5 + v. Suppose 0 = t + 4*j + 15, 0*t + 2*t = -4*j - 14. Sort 5, u, t.\nAnswer: u, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*r**2 - 28 + 26 + 26*r**2 + (-2 + 3 + 2)*(7*r**2 - 4*r**2 + 2*r**2).\nAnswer: 68*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23989, 47957, 71921, 95881, 119837?\nAnswer: 143789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17248839, -17248837, -17248835, -17248833?\n\"Answer: 2*r - 17248841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:11 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 214*l**2 + l. Let f be y(1). Let o(i) = -2*i**2 - 215 + f. Let t(d) = -d. Determine o(t(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(240)*-1)\/sqrt(8))\/(2*-2*sqrt(6)*2))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -26*g**2 + 2696 - 2672 + 76*g**2. Let s(k) = -k**2. Give t(s(a)).\nAnswer: 50*a**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-13 - -2) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from jrrrjjvuvf.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186871 - 43?\nAnswer: -187024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 2*n, -3*r - 3*n = -21. Let d be (9\/(-45))\/((r\/(-15))\/3). Let i(p) = -7*p**3 + p**2 + p - 1. Calculate i(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j**3*s + 6*j**3*w - 34*j*w + j + 7*s*w with respect to s.\nAnswer: 5*j**3 + 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbb when three letters picked without replacement from bnbbbbnnbbbbbb?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t - 4*p, -5*t + p + 13 - 2 = 0. Suppose -t*m = 4*k - 5*m - 124, -3*k + 2*m = -93. What is the remainder when 57 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 13*d - 16. Let b be a(-11). Suppose 3*x + s - 79 = b*s, -5*x + 70 = 4*s. Calculate the lowest common multiple of x\/((2 + -4)*-1) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*o + 2 - 189*o - 2.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549266 by 20.\nAnswer: -274633\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:56 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 323715859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12407 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 1)*(-5 - 3 + 1) + 2 - 2 + 1)*(-9 - 8 + 18)*(-8*x - 6*x + 2*x)*(-5 - 4 + 4) to the form t*x + y and give t.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5762764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 51653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 1 - (-46 + 21 + -12 + 34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -104 (b) -1 (c) 4 (d) 2 (e) 3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 434802 divided by -6?\nAnswer: -72467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304 + 15*v + 304 + 206 + 188*v - 206 + (2 - 1 - 3)*(3 + 2*v - 3) to x + g*v and give g.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*i - 59*i + 33*i)*(2 + 0 - 4) - 10*i + 5*i - 2*i - 4 + 3*i - 4*i + 2*i as f + s*i and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/2 + 15. Let h = 1 + -0.4. Let r = -3.4 - h. What is the third biggest value in 1, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203035 is divided by 22304?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 81*z - 35. Let q be g(-40). Let a be (-3 + 2)\/(2\/(-6)). Solve -5*f - q*v = -2*f - 9, 4*v - 9 = -a*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 3*k + 5. Let t be 3 + (1 - 3) + 3. Suppose g = 5*g + 2*g. Suppose g = -4*n - t - 12. What is s(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 1 + 3, -5*m = p - 56. Let x = -37 + p. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -192*m**2 + 5*m + 13. Let o(r) = 191*r**2 - 5*r - 6. Let l(n) = 4*o(n) + 3*s(n). Find the second derivative of l(k) wrt k.\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/19)\/t)**(-1\/13))**(-44) assuming t is positive.\nAnswer: t**(-748\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 724437 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, p: 4, y: 1, a: 2, h: 2}. What is prob of picking 1 h and 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -91, -114, -155, -220, -315, -446, -619?\n\"Answer: -s**3 - 3*s**2 - 7*s - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29137.335 months to millennia.\nAnswer: 2.42811125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 30*s**2 + 260*s - 42. What is z(37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*k - j + 52, -5*k + 2*j + 83 = 0. What is the remainder when 44 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 21. Let r be ((-2)\/y)\/((-1)\/(-285)). Suppose -3*l = 2*l - r. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 11 + 3 + 12 + -22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13413 is divided by 335.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by -74\nAnswer: -131\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**3 + i. Suppose o - 6 = -2. Suppose -5*d - 15 = 0, 7 = -4*t - 5*d - o. Is 3 a factor of n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460491371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76597371 to the power of 1\/2, to the nearest integer?\nAnswer: 8752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -11. Let o be (-155)\/35 - v\/7. Let y be -1 - ((-5)\/(-2) - 2). What is the closest to 2 in o, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18216 = -37784. Suppose 0*m + 2*m + x = 0. What is m rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzy when three letters picked without replacement from yzzzypzyz?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/32)\/(20\/192).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 3*c + 3. Let y(z) = z**3 + 5*z + 20 - 25 - 4*z**3. Give 5*v(h) + 3*y(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*c = 20, 93*i - 12 = 95*i - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x**2 - 2*x. Let s(q) = -85*q. Give s(c(a)).\nAnswer: 1700*a**2 + 170*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.842948 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -504*r**4 - 598*r**3 + 828*r**2 - 8*r - 48 = 0.\nAnswer: -2, -2\/9, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 40*r**3 + 75*r**2 - 20*r - 100.\nAnswer: 5*(r - 1)*(r + 2)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298249484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -49a528?\nAnswer: 49a539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -240 + 263 + -7 + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.149 - -0.289. Let m = i - -3.4. What is m rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -432 and 0.07.\nAnswer: -431.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4552 - 3096 = 191*f - 3510 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-70))\/(333\/1110)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -61, -5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*v + 3 = 0, -m + 5*v + 39 = 9. Let c = -15 + m. Let x(n) = -n**2 - 9*n + 8. Let w be x(-7). Solve -4*s + 5*o = w, -s + o - 4 - 1 = c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0816184 to 3 decimal places.\nAnswer: -1.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 5*k**2 - 6*k + 3. Let p be x(-6). Let g be (42\/(-28))\/(p\/(-8)). Let t be -1 + g + 0\/(-5). Sort 0, 5, t in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64385*v + 64320*v - 1495 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(192) + 2*sqrt(192)) - (sqrt(15)\/sqrt(80) - sqrt(3)*1*6))**2.\nAnswer: 1076467\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/12 + 5*n**4\/12 - 23*n**2. Factor s(t).\nAnswer: -5*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 17. Let z(o) = o**3 + 3*o**2 - 6*o + 1. Let m be z(-5). Let h be g(m). Let i(k) = 4*k**3 + 2*k - 3. What are the prime factors of i(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 2. Let p be i(0). Suppose p*b = -b + 786. Let r = b - 143. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63945490 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 410.4401 litres?\nAnswer: 410440.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 931932 + 551668 = -18545*h for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*o*t**4 + 6*o*t**2 + 10*o*t - 8 wrt t?\nAnswer: -180*o*t**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -114*t**2 - 668*t. Let r(o) = 44 - 44 - 23*o**2 + 10*o - 143*o. Let v(d) = 11*r(d) - 2*s(d). What is the second derivative of v(z) wrt z?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:05 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85181 - 0.3.\nAnswer: -85181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88003012 and -0.0499.\nAnswer: 88003011.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:31 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28906, 57820, 86750, 115702, 144682, 173696, 202750, 231850?\n\"Answer: o**3 + 2*o**2 + 28901*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 2) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081795720.\nAnswer: 2, 5, 43, 53, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(16\/(-4))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 75 = -0*x. Let u be x + 6 + -6 + 8. Suppose 5 = f - j, -2*j - 12 = -3*f + 2. Solve 5*h + 2 = f*o - u, -5*h + 3*o - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-143)\/(-12) + -12)\/(1\/3). Let m be (0\/(-1))\/1 + 4. Let z = m + -6. Sort l, z, -0.5.\nAnswer: z, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10065967?\nAnswer: 10065967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 4434558783582629*s**2 - 4434558783582629*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*w**3 - 148*r**3*w**2 + 3*r*w**3 - 452*r*w**2 wrt r?\nAnswer: 6*r*w**3 - 888*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 0*z + 2*z**4 - 4*z**4 - z**3 - 2*z**4 - 3 to the form w*z + h*z**3 + i*z**4 + j + r*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 - 294.9. Let s = -46 - -1. Let r = w + s. Which is bigger: r or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 + 8*s - 8. Let l(j) = 8*j**2 - 10*j + 10. Let y(k) = 5*g(k) + 4*l(k). Let x(d) = -2*d**2 + 18*d. Give x(y(v)).\nAnswer: -18*v**4 - 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15426639.\nAnswer: 3, 101, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114872136 and 2138577.\nAnswer: 804104952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 + 4 = 2*a, -3*a + 23 = j. Let i(y) = -y**2 + 6*y + 6. Calculate i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 25. Suppose 10 = 2*n + 3*b, -20 = -m*n - 2*n - 5*b. Let v(g) = -5*g**2 + 2*g + 0*g**n - 2*g. Let u(q) = -2*q**2. Determine v(u(y)).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.08 - -22.08. What is the nearest to 4\/7 in 2\/5, 3, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226194953.\nAnswer: 73, 3098561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Let u be 10\/(-4) + 2\/4. Let h(k) = -4*k + 2*k - 4 + 6*k - 3*k. Let c(t) = t - 3. What is r*c(q) + u*h(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5724 by 106.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 1 - 39. Suppose -r + 0*r = 4. Sort g, r, -3.\nAnswer: r, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i + 5. Suppose 0*d + 4*d = -5*r + 35, -5*d + 53 = -3*r. Let j(g) = -g + 2 - 11 + d. Calculate -3*f(m) + 15*j(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19905\/2 - 10006. Which is the biggest value? (a) -7 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x + 1\/2*x**5 - 5*x**3 + 1\/2*x**4 - 2*x**2 + 0.\nAnswer: x*(x - 2)**2*(x + 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000239307 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/90)\/(37\/185)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -3*k + 36 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u. Let m(h) = 6*h - 37 + 51 - 4*h**2 - 3*h**2 + 2*h**2. Give -m(b) + 4*s(b).\nAnswer: b**2 - 2*b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/12 (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.952 - -0.048. Let l = -26 + q. Put 5, -1, l in descending order.\nAnswer: 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 732 and 5104552.\nAnswer: 934133016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 28 = -7. Let b(f) = -5*f - 10. Let y be b(-7). Let u = t + y. What is the smallest common multiple of 16 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -1643\nAnswer: 1314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 257*f**2 + 227*f**2 + 2.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 3*p - 4. Let g be i(3). Let t = -8 + g. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(832) - sqrt(832) - sqrt(832)) - (sqrt(832) + (sqrt(832) - (1 + sqrt(832) + -4))))**2 - (4 + -1 + sqrt(1053) + 5).\nAnswer: 231*sqrt(13) + 20801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/10 - 9*u**5\/20 + u**4\/4 + 3*u**3\/2 + 31*u. Determine f so that d(f) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -0.1 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -21)*((-43)\/(-45) - 1). Which is the nearest to -24? (a) 2\/3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160 or 606732\/3763?\nAnswer: 606732\/3763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/346901 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 4*w**2 + 106*w**3 - 1132*w + 1130*w to the form z*w + t*w**2 + n + o*w**3 and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 23 + 23)*(2 + 0 - 4 + (-1 + 0 + 3)*(-3 + 4 + 0) + 3 + 0 - 10).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5296015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + 9 + -16 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 77*x + 229. What is the tens digit of g(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1227 times 93\nAnswer: 104.4111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 110 + 96132*u - 96134*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*x + 3*k - 7*k, k = 2*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 2, q: 1, e: 1}. What is prob of sequence gi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-27) - 22\/18)*-1. Let h = 97\/10 - 17149\/1770. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 102. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.66074893.\nAnswer: -4.33925107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/72 + p**5\/24 + 5*p**4\/4 + p**3\/6 + 42*p**2 + 22*p + 2. Let a(t) be the second derivative of s(t). Factor a(l).\nAnswer: -5*(l - 3)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14 - 4 + 3 + 3*d**2 - 13. Let y(u) = -2023*u. Determine x(y(i)).\nAnswer: 12277587*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*p + 23 + 17, 0 = 2*p - 3*i - 35. Solve 4*b - 2*w = p, b = -4*w - 6 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 4*j - 11*j. Suppose 4*l = -j + 12. What is the units digit of l\/1*(-34 + 75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3577.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1046155 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4885*u**2 + 4431*u**2 + 4610 - 4610.\nAnswer: -454*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:28 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3028*b + 585. Does 21 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 6*k + 87 - 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -10232?\nAnswer: 10226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*39\/208*(-12)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 + 3*m - 4. Let n(w) = 18*w**2 + 5*w - 7. Let y(t) = -5*a(t) + 3*n(t). Let f(p) = p**2. Give 10*f(q) - 2*y(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:27 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812686 and 928784?\nAnswer: 6501488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 3. Let f(c) = 2*c**2 - 5. Let s(m) = -3*f(m) + 5*g(m). Let q(a) = a**2. Determine s(q(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 172 + 37234?\nAnswer: 373a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5188024 divided by -4.\nAnswer: 1297006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18551 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 10*w = 0. Suppose -13 + 1 = -3*a. Let b = -3 + a. Put b, -4, w in decreasing order.\nAnswer: b, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 704893987 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-4) + (32 - 18) + -20.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, q - 28*x - 18623 = -32*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (44 - -67 - 69).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/12 + 3*k**2 + 168*k - 2. Let q(p) = -6*p - 12. What is h(q(v))?\nAnswer: 12*v + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 173.99891. What is w rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23 - -26)\/(3\/2). Let d = 16 - -27. Suppose k*h = 2*c + 50, -8*c + 3*c = h - d. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383\/4 <= 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*31\/4*(15252\/(-124) + 121)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 18*y + 1. Determine x(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4 and -71\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 3867*l + 53 = -3862*l, 0 = -3*g - 7*l + 47 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 20*c - 12. Suppose 4*g - 257 = 43. Suppose 0 = 5*b - 4*u - g, -3*u = b - 4 - 11. Is f(b) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*w + 567*w - 186 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680 times 0.154?\nAnswer: 1798.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 185. Let q = -12 - -8. Let k = q - -6. Sort k, p, -3, -1 in decreasing order.\nAnswer: p, k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from mlmlppmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311.056l to millilitres.\nAnswer: 311056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let d = 0.01 + -4.01. Let l = 0.3 + -0.4. Put x, d, l in ascending order.\nAnswer: d, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 3*c + 30. Give q(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/60)\/(115\/(-15))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**6\/6 - 4*m**5 - 25*m**4 + 127. Suppose u(k) = 0. What is k?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4515317445 to the nearest integer?\nAnswer: 67196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 2*l, -2*i + 5*l + 450 = 0. Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose m*x + 22 = 4*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2318 + -6949\/3. Suppose 4*p - 1 = -5. What is the nearest to 0 in l, -11, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 5)*(-2 - 2 + 2)*(-i - i + i).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 774961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5580794 + 5580794 - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 + 2*d - 5. Let u be o(5). Suppose u*g - 21 = -6. Find the third derivative of -m**2 - 8*m**3 + 3*m**g + 3*m**3 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 33 (c) 2 (d) -1\/455\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(468)*4 + sqrt(52)))\/(-4*sqrt(64)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079.690616 rounded to the nearest ten?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -79?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*w = -2*w - 2, -2*w = -4*z. Let t = z + 2. What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 4)*(-3*f - 36*f + 10*f)*(-4 + f + 4) - 5*f + 2*f**2 + 5*f as r*f + g + z*f**2 and give z.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/(0 + (-2)\/5). Let o(b) = 1 - 1 + 1. Let d(i) = 1 + 1 - 4*i - 5. Calculate f*d(a) + 5*o(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 731603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(0 + 0 + 2)*(4*z**2 - 8 + 8).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3300) - sqrt(33))\/(3*sqrt(432)).\nAnswer: -31*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 6. Let t be y(-5). Let q = 50 + -48. Let c be -3*(q - 1) + 4. Is t bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*p - 9, v - 3*p - 4 - 5 = 0. Let f be 0 + 2 + v + -2. Suppose 2*c + f*c = 0. Solve c = -5*s + t - 4*t + 30, -20 = -4*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 24. Suppose 8*i + m*i = 1784. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 7. Let k be (10\/4 + 0)*-2. Let q be z(k). Suppose l + 2*l - 24 = -n, n + q*l - 20 = 0. What is the remainder when 23 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 4*x - 5. Let c(a) = a - 1. Let n(v) = 4*c(v) - p(v). Let h(w) = -3*w**3 + 1. Suppose 7*r + 72 = -17*r. What is r*h(u) + 2*n(u)?\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427777 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8527 <= -3499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*-1*(-30)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)\/b)**(-3\/4) assuming b is positive.\nAnswer: b**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, 1\/7, -0.3, -40, -7.2 in decreasing order.\nAnswer: 1\/7, -0.3, -3, -7.2, -34, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/559 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let h = 34 + -34.4. What is the second biggest value in h, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 8. Let w(g) = -2*g - 3. Let b(n) = 3*t(n) + 8*w(n). Let z(j) = -79*j**2. Give z(b(c)).\nAnswer: -316*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-237)\/12798)\/((-1)\/24)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 + 7*i**2. Let h(w) = w**3 + w. Let s(z) = -6*h(z) + m(z). Let c = -213 - -221. What is the smallest common multiple of c and s(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15086818 is divided by 340?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43412 times -309\nAnswer: -13414308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**4 + 3\/20*y**6 + 0*y + 0 + 0*y**5 + 16*y**2 + 8\/3*y**3. What is the derivative of a(q) wrt q?\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose -69 = -z*y + 31. Suppose 27 = 2*u + u. What is the remainder when y is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1293 + -918. Suppose 0 = -0*k - 5*k - 4*h + 469, -4*k + a = 3*h. What is the highest common divisor of 31 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/12)\/(995\/(-60695))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56 + 31*p**4 + 60*p**4 - 12 - 3*p**4 - 10*p**4 wrt p.\nAnswer: 312*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*d = -416*d - 28. Solve 0 = -4*j - 2*s - 12, 7*s - d = -2*j + 10*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7104 and 62208?\nAnswer: 2301696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70196 = 867*t - 844*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1505 and 3955?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*o + 312*o**2 - 290*o**2 + 1 - 2*o**4 - 50*o as i + d*o**2 + x*o**4 + a*o + f*o**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 3*m - 5738859 = -15*u, -4*u + 2*m + 4591074 = 0. Round u to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35707 + 218451. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930899.\nAnswer: 31, 30029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-2) - (-4 + -24). Suppose p = 4*b - s, -4*p - 35 = -4*b - p. Find the third derivative of -84*l**3 - 2*l**b + 84*l**3 + 2*l**2 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 2. Let c(s) = -14*s - 64. Let x be c(-4). What is the units digit of b(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/((-2*sqrt(90))\/sqrt(10)))\/(2*sqrt(200)*3 + sqrt(200)).\nAnswer: -sqrt(5)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbyyccwbibcibwiycbc. Give prob of sequence wyy.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38141150 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 300093*w. Let p(c) = 13*c**2. What is v(p(h))?\nAnswer: 3901209*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*d**4 + d**2 + 102?\nAnswer: -100*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-46)\/(-4))\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -361*s + 1233. Let v be -30*(-2 + 418\/42). Let h = -239 - v. Which is the nearest to s? (a) 3 (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 1559625*l**2 + 152027078742*l - 38006672209.\nAnswer: (l - 194953)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2 - 2*r - 5. Let k(p) be the first derivative of p**4\/4 - 2*p**3\/3 + p**2 + 4*p + 30. Determine 4*d(q) + 5*k(q).\nAnswer: q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 + (-15 - -15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0 + 0)*((1 - 3 + 0)*(-6 - 1 + 3) + 3 + 1 - 3)*(-580 + 580 + 8*y).\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0, -0.1, -1676?\nAnswer: -1676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/9)\/(4\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 23*y**2 + 9*y + 19. Let w(u) = -66*u**2 - 24*u - 55. Let s(r) = 8*n(r) + 3*w(r). Let c(a) = a. Calculate c(s(l)).\nAnswer: -14*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36878247 divided by -1011.\nAnswer: 36477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -633.6 - -624. Let i = -119.4 - l. Round i to 0 decimal places.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909.794ug in kilograms?\nAnswer: 0.000006909794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 49656.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17998573 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2 and -19\/97231.\nAnswer: 194462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203030 > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4)*c)\/c)\/c**6*c**(2\/37)*c\/c**(2\/9) assuming c is positive.\nAnswer: c**(-5885\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 0*v + 1 + 0*v)*(-1 - 1 - 10).\nAnswer: 48*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 320 - 126. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 1551?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -14*n**2 - 38*n - 2. Let j(v) = -27*v**2 - 67*v - 3. Determine -7*b(o) + 4*j(o).\nAnswer: -10*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -21*s - 86. Calculate b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 13*t**2 - 4*t - 9. Let v be r(6). Suppose v*g + 0*g - 216 = 0. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 1 - 4*k**2 - k**2 + k**3. Let t be (-1 + -2)\/3 + 6 + -2. Is v(t) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 5\/4, -3, 5, 19, -8 in descending order.\nAnswer: 19, 5, 5\/4, 1\/8, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83103445603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-1463)\/(-55) + 0\/(-1) - 258\/430)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5764929.1 days?\nAnswer: 823561.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26082 divided by 9?\nAnswer: -2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(2\/29))\/o)**(8\/11)*o\/(o*o**28)*o**(-5)\/o*o*o assuming o is positive.\nAnswer: o**(-9992\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 4*(sqrt(1053) + -2) + 0 + (sqrt(1053) + -2 - sqrt(1053)) - (0 + sqrt(1053) + 4 + -4))**2.\nAnswer: -720*sqrt(13) + 16948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 12. Let g = z - -8. Suppose -3*m - 6 = 0, -2*a + 6 = g*m - 6*m. Solve -k - 15 = 4*s, 19 = -5*s - a*s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)\/f*f*(f*f**(1\/3)*f)\/f*(f\/(f\/(f**4*f)))**(3\/2) assuming f is positive.\nAnswer: f**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.1354 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79984 is divided by 2958.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 1\/9 (c) -2\/15 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let n(a) = -5*a + 6. What is -3*g(j) + n(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 0.05749?\nAnswer: 0.64251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 30*n**2 + n + 33. Let h be w(-30). Which is the closest to 1? (a) 0.2 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24609578 is divided by 382.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/4, 22, -11.2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 516 - 1?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 5778\/(-1070). Let x(w) = -w**3 + 6*w**2 + 5*w - 4. What is x(a)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*m - 2*c - 39, 142 = 3*m - c. Calculate the remainder when 141 is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, -9, 2088, -6 in increasing order.\nAnswer: -9, -6, 2, 29, 2088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 15. Let g = z - 0. Suppose 0 = -2*b + 12 + 34. Solve 2*r = -g*o + b, 0*o = o + 5*r - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dnmdgngnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by -1410\nAnswer: 144\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.8672ml in litres?\nAnswer: 0.6218672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 6*f - 13\/2.\nAnswer: (f - 1)*(f + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 4. Let h(i) = 1084*i. Determine s(h(d)).\nAnswer: 3252*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiuu when four letters picked without replacement from {u: 5, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -43\/122 (b) -3 (c) 0 (d) 0.5 (e) 4 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -57. Let o(i) be the second derivative of 0 + 1\/12*i**4 + 2*i - 3\/2*i**2 + 1\/2*i**w. Determine o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/4*144\/(-30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/4 - 7*q**3\/3 + 2*q**2 - 11*q + 6. Let d be m(-8). Suppose v - 3*a - d = 0, -3*v + 4*a + 53 = -0*a. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16208\/(-1013) + ((-1)\/(-4) - 52\/16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 13*d**3 - 3159*d**5 + 14*d**3 + 3175*d**5 + (-3*d**4 - d**4 + 2*d**4)*(-6 - d + 6) + 4*d**5 - 2*d**5 + 0*d**5.\nAnswer: 20*d**5 + 27*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 - -6) + 56. Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*n**3*r*w**2 + 3*n**3*w - 6*n**2*r + 23231*n**2*w**2 + n*w - 2*r*w**2 + 17*r*w - 11*r - 5*w wrt w.\nAnswer: -118*n**3*r + 46462*n**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218\/675 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*q - 19 = -7, -3*a = q - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452089*u - 203 = 452096*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 18\/4)\/((-6)\/12). Suppose -k*j + 4*j + 22 = 5*p, 3*p + 3*j = 6. Solve 0 = -u - 4*u + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2671, 5189, 7707, 10225, 12743?\nAnswer: 15261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 688 and 774?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 62\/36)*(-108)\/360 and 131\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*p**2 - 103*p**2 - 34 + 210*p**2)*(2*p + 0 + 0).\nAnswer: 2*p**3 - 68*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88.59 - -88. Let l = 6556 + -6528.41. Let c = t + l. Which is greater: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 15*s - 15 = 0. Let y(n) = -7 - 7*n - n**3 + 7*n**3 - 5*n**s. Let a(z) = -z**3 + 5*z + 5. Determine 7*a(c) + 5*y(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (84\/26)\/((-818)\/(-15951))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.031 (b) -1\/2 (c) 2\/7 (d) 0 (e) 7 (f) -3\/1789\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534\/631 - -227303\/21454. Let q = b - 16171\/510. Let g = q + 61\/3. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 + 37254*h - 44883696 = 0.\nAnswer: 1352, 11066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16668 - -10543. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 8*u = -10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(-1\/40))**(3\/2)\/((o**(1\/5))**(-2\/15))**(-24) assuming o is positive.\nAnswer: o**(-251\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14210 and 140.\nAnswer: 28420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 46*u**2 - 41*u + 60. Let g be s(-22). Put g, 18, 2 in increasing order.\nAnswer: g, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i + 6*i - 200*i**2 + 203*i**2. What is the least common multiple of s(4) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3416\nAnswer: -341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 12276.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59561883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523697958 to the power of 1\/3, to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 52 - 76 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 60*s + 314. Give l(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**5 + 105*t**4 + 522*t**3 + 372*t**2 - 1680*t + 675 = 0.\nAnswer: -9, -5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-6) - 0)*(-1491)\/(-497). Solve -p*l + 10*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20672, -71968, -157460, -277148, -431032, -619112, -841388?\n\"Answer: -17098*d**2 - 2*d - 3572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (-2*sqrt(30)\/(-1*sqrt(10)))**2 + (sqrt(36)\/sqrt(4))\/sqrt(3)*2 + 4*(-1 + sqrt(108))**2.\nAnswer: -46*sqrt(3) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-1\/4))\/l*(((l*l*l**(3\/4))\/l)\/l*l)\/l)\/(l**(-1)\/l)**(-19))\/((l*(l*l**(-4))\/l*l)\/l**(2\/3)*(l**(2\/3))**(-30)) assuming l is positive.\nAnswer: l**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-164)\/(-30))\/(14\/(-2870)*41)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 45\/225*-65\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 - 2 + 22*o**3 + 3 + 4*o - 53*o**3 + 4*o**2. Suppose 3*n - 7*n - 2 = 2*x, 4*x = 12. What is the tens digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3307894611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 15 + ((-27)\/(-3) - 8). Calculate the highest common factor of 629 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76128 and 28224.\nAnswer: 22381632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - 0.15. Let l = 88 + -87.974. Let c = l + z. What is c rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u\/((u*u*u**(5\/4))\/u*u))*u*u**(11\/5) assuming u is positive.\nAnswer: u**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 + -487\/2. What is c in 3\/2*c - z*c**2 + 1 - 1\/2*c**4 - 3\/2*c**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1244, -2818, -5442, -9116, -13840?\nAnswer: -19614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827604.1ng to tonnes.\nAnswer: 0.0000000008276041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383803 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) -0.14 (c) 2\/11 (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (16 - 66) - (3 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 225, 0.14, -4\/5, 12?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*l - 3*h - 1455 = 839*l, 5*h = 4*l - 102 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*y = -2*y + 10, -30 = -5*r - y. Let z be 2\/r - 12\/5. Put 5, z, 2 in decreasing order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14850 and 16335?\nAnswer: 163350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -292152 (base 12) to base 6\nAnswer: -22424542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88494 by 6.\nAnswer: 14749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11145 (base 6) to base 10\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-6))\/(246\/36 - 7). Let b be ((-10)\/(-6))\/(3\/9)*t. Solve 0 = m + b - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*b + 12. Let f = 35 + b. Calculate the remainder when 6\/15 + 1126\/10 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49852*s**3 + s**2 - s + 5646951?\nAnswer: -149556*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 + -17?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2592)\/(-44))\/(-6) - 2\/11. Let w be (2*8\/u)\/(10\/100). Is (-123)\/(-4) - 4\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*i + 104*i + 111*i - 424*i + 112*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 6*w - 18*w + 3*w + 2*w**2 + 6*w to d + z*w**3 + h*w + j*w**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1 = 2*w + 1, -3*c - 3*w = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*f + 69*f + 15 = 0. Let a(o) = -2*o**2 + 46*o + 16. Is 13 a factor of a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5629.\nAnswer: 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 7*a**3\/3 - 2*a**2 + 3*a. Let z be r(3). What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1 + 3 + 2 - 4 - 4 + 3 + 0 + 2 + 0 - 3 + (6 - 3 - 4)*(-1 + 3 + 0) - 4 + 1 + 1 - 6 + 0 + 4)*(n + n - 3*n)*(7 + 8 - 8) to r*n + j and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxmmmmmagmmmmxm. What is prob of picking 1 a, 1 g, and 1 x?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -158122292\/5 > -31624459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let a = -38060\/5267 + 166\/23. Let r = -239\/1145 - a. Sort d, 1\/3, r in ascending order.\nAnswer: d, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 1\/2 (c) 1\/14 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -112*x + 691. What is w(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.364 - 0.036. Let y = 2.1 + h. Which is the third smallest value? (a) 3\/5 (b) 0 (c) 5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/917 (b) -5\/3 (c) 3 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 + 1. Let t be r(1). Let d be (2 + 0)*2*7\/(-56). Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 804. Suppose 2*x = -3*p + 298, 2*x - u = -2*p + 101. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(90\/(-320)*(-60)\/(-90))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81163*-0.2.\nAnswer: 0.162326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 8. What is q(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.23 (b) -0.1 (c) -9 (d) -1\/2 (e) 0.012 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*w**3 - 124*w**3 - 184*w**3 + (3*w - 3*w - 2*w)*(-3*w**2 + 5*w**2 - 3*w**2) + 5 - 5 - w**3.\nAnswer: -239*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84644926.\nAnswer: 2, 42322463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 562243549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -128137.\nAnswer: -67\/128137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51862077*n**2 - 5866*n - 8833.\nAnswer: 103724154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84399, -84406, -84417, -84432, -84451, -84474, -84501?\nAnswer: -84532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v. Let y = -18 + 21. Suppose 1 = -2*i - y*n - 5, 2*n + 20 = 4*i. Let j(d) = -i*d - 8*d + 3*d + 7*d. Determine r(j(a)).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11439 or -11442?\nAnswer: -11442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 6*sqrt(539)*2*-4 + -3 + -5)**2 + 1)*-3.\nAnswer: -7452006 - 48384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 130 = -p, 4*y + 4*p = 2*p + 516. Suppose -8*u = -752 - y. Let j = u - 82. What is the remainder when 82 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -9 (b) -0.05 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 8, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8862 or 4\/3?\nAnswer: 8862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 0*u**2 - 2925 + u**2 - 5831.\nAnswer: u**2 + 2*u - 8756","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127193998 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254 divided by 2?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**7\/(k**(3\/10)*k)**(2\/73))**21 assuming k is positive.\nAnswer: k**(107037\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Suppose 0 = 4*l - l + v - 8, 6 = l + s*v. Let o = l + 9. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2149*t - 66648. Calculate b(31).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*o + 75*o - n + 45, n = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519\/5 - 104. Let b = -6.84 + -0.16. Let a = -12 - b. Put d, a, 0 in descending order.\nAnswer: 0, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79075996433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -339*i**5 + 878*i.\nAnswer: -6780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y**(1\/27))\/(y*((y*y**1)\/y)\/y*y**(-1\/7)) assuming y is positive.\nAnswer: y**(1546\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - q)*(0 + 0 - q**3) + (8*q**2 + 3*q - 2*q + 5*q**2)*(4*q - 4*q + 3*q**2).\nAnswer: 40*q**4 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 149.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328\/9 or 22318?\nAnswer: 22318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 16*x + 10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3*b - 7*b)*(b**2 - b**2 - 2*b**2) + 780 - 780 + 26*b**3.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (36 + (-1 - -16))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -36*d - 39*d - 40*d + 150*d - 34*d. Let o(i) = 2*i + 894. Give o(g(y)).\nAnswer: 2*y + 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c + 37. Let j(d) = 6*d - 19. Suppose 4*v + 13*t + 77 = 0, -3*v = 2*t - 1 + 20. Determine v*u(l) - 5*j(l).\nAnswer: 3*l - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919398 <= 4919330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227\/193, 0.4, -0.39 in decreasing order.\nAnswer: 0.4, -0.39, -227\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 f when four letters picked without replacement from {f: 3, t: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47936?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282584 and 1486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 1. Let x(j) = -2*j - 6 + 6*j**2 + 1 + j**3 + j - 3*j**3. Calculate 6*s(d) - x(d).\nAnswer: 2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 476 and 573240.\nAnswer: 4012680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 1. Let h(l) = -4*l**2 + 2*l + 4. Let a(t) = -h(t) - 3*y(t). What is a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62111, -62089, -62069, -62051, -62035?\n\"Answer: -r**2 + 25*r - 62135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 8 = -6*i. Sort i, -3, -0.1 in descending order.\nAnswer: -0.1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -2\/13, 4, -61?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -63?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n**4 + 29256*n**3\/5 + 54987*n**2\/5 - 28506*n - 168216\/5 = 0 for n.\nAnswer: -43\/15, -1, 2, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -32 + 16 + 17 - 2*n. Let x be (4 - 6)*(-29)\/2. Let k = x + -31. Let m(t) = t - 1. Give k*d(f) - 3*m(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777706 and 56404.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 44 = -v. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 5*x + 5. Let f(a) = -a**2 - 4*a - 4. Let k(u) = 5*f(u) + 4*z(u). Let q(d) = -4*d**2. Give k(q(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*m + 1 = -q + 247*m, 2*q - 5*m = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 154, 1121, 3752, 8881, 17342, 29969, 47596?\n\"Answer: 139*r**3 - 2*r**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432661 is divided by 158.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 9690 = -9446. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -1331.1462?\nAnswer: -1331.1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1446, -2890, -4334, -5778, -7222?\n\"Answer: -1444*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:14 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 472 - -23?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/78*96\/64?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -7*p**7\/12 + 469*p**6\/60 - 153*p**5\/4 + 485*p**4\/6 - 194*p**3\/3 + 24*p**2 - 153*p - 3. Suppose u(c) = 0. What is c?\nAnswer: 2\/7, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/767, -3\/964, -0.2.\nAnswer: -0.2, -3\/964, 11\/767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19*z + 580. Let v be k(-21). Suppose x = -0*i - 5*i + 1058, 0 = -2*i + 5*x + 434. Suppose 3*f - i = v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*t + 15, 0 = -15*t + 18*t - f - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30238, -30250, -30298, -30400, -30574, -30838?\nAnswer: -31210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/(1\/1). Let n(u) = -5*u**2 + 0*u**2 + 14*u + 6*u - 13*u. Let x(b) = b**2 - b. Let f(t) = m*n(t) - 14*x(t). Let o(g) = -2*g. Give o(f(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 2*c + 80 = 0, 145 = 4*h + c. Let w = h + -38. Is w + 1286 + 0\/(-4 + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 36. Let a be l(7). Suppose 4*x - a = -4*b, -4*b - 2*x = -7*x - 55. Suppose 92 = -13*u + b*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 555*g - 15680. Calculate d(210).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*h + 32353 = 3*h, -2*h = 2*f - 64706. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g**4\/2 + 37*g**3 - 271*g**2\/2 - 118*g + 48 = 0. Calculate g.\nAnswer: -8, -1, 4\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -273 + 1546. Let o = x + -148942\/117. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*y - 8 + 288 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6 - (-195)\/10. Solve m - 3 = 0, -3*m = -7*a + 4*a - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 498855110*z**3 - 104674314*z wrt z.\nAnswer: 2993130660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - z - 2*z + 3, -1 = 2*p - z. Suppose -k + 4 = -p. Find the first derivative of 7*x**k - 4 - 4*x**4 + 0 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 41, 16 in increasing order.\nAnswer: -2, 4, 16, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1746 divided by 194\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {g: 8, j: 3, q: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 13) to base 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/6043 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 38174 = -4*b, 0 = 5*b + o - 6495 - 41237. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*c*o**2 - 9237*c*o*r**2*y**2 - 2*c*r**2*y**3 + 2*c*r + 276945*o**2*r**2*y**3 + 21*o*r**2 wrt o.\nAnswer: -100*c + 553890*r**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36018118, 36018111, 36018104, 36018097, 36018090?\nAnswer: 36018083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**(-2\/29)*(j\/(j\/j**4)*j)\/j**(-2\/15) assuming j is positive.\nAnswer: j**(15571\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14823\/2420 + -1\/4840. Let p = -21773 + 2090137\/96. What is the common denominator of p and d?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, 0.5, -17, 1035, 1, 0 in increasing order.\nAnswer: -17, -2, -2\/9, 0, 0.5, 1, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.2074.\nAnswer: -0.2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-10)*2\/(-8). Let v = -86.4 - -80. Let t = v + 6. Which is the nearest to 1\/2? (a) 0.3 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1922 = 1916, 0 = f - 7*f - 5*s - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1748*x**2 - 2088*x.\nAnswer: -3496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 994 = -7*f. Suppose v - i - i = f, 520 = 4*v + 4*i. Does 34 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6627374318 and 16.\nAnswer: -6627374302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = d - 10 + 1, -5*d + 3*u + 10 = 0. Put d, 1, -4, -7 in increasing order.\nAnswer: -7, -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/11 - 4546*o\/11 - 4545\/11.\nAnswer: -(o + 1)*(o + 4545)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 31180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 336\/55 (c) -2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1909472.279292 + 1909930.28. Let f = -458 + c. What is f rounded to 5 decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 9*l = -112. List the prime factors of 1*(l\/28 + 2586\/8).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 169*o**5\/60 - 14*o**2 + 6. Let s(b) = -2*b. Determine z(s(h)).\nAnswer: 676*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 17. List the prime factors of k(23).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + 0 + 4*5*-5*(0 + 0 + sqrt(1216))**2.\nAnswer: -121607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 8. Let q be u(-9). Let v be (-1 - q) + (7 - 4). Suppose -v*i + 3 = -g, 0*g - 5*i + 27 = 2*g. Calculate the smallest common multiple of g and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 + 102 = 2*l. Does 46 divide l - (-3)\/(18\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/3 + 640*h**2\/3 - 1274*h\/3 + 212 = 0.\nAnswer: 1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (192\/(-27))\/16 + 4\/9. Let v(l) be the second derivative of n*l**2 + 4*l - 1\/6*l**4 + 0 - l**3. What is the second derivative of v(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*j - 6 = 0, 4*j - 7*j = 5*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:56 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28713.\nAnswer: 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/8)\/(169\/1690).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 29 + 4, -16 = h + 3*w. What is the common denominator of -107\/30 and ((-259)\/784)\/h - 5\/35?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24414 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, 11 in descending order.\nAnswer: 11, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 99 + 67?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200 - 11011012?\nAnswer: -11020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 120*f + 11640. Let q be z(-97). Find m, given that q - m - 1\/7*m**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12045*i + 1211412 - 211677 for i.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(152)\/(sqrt(128)*-2)*-3).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 7*d - 6. Let x be f(-8). Suppose -2*s + 4*v + 16 = x*s, -v = -5*s + 4. Let u(i) = s*i + 0*i + i + 2. Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17486315 is divided by 1635?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3, -k = -2*d + 10 + 33. Suppose 5 = 3*n + 4*c - d, 0 = 3*n - 3*c - 6. Solve -5*y + n*s = 15, -5*y + s = 2*s - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37316885 is divided by 14162.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 10\/3, 0.113, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6718, -6298, -5590, -4588, -3286, -1678, 242?\nAnswer: 2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*c + 14978 + 6161 = -10651 - 8019 for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -4788, 0.1, -4\/3?\nAnswer: -4788","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 14*x - 72 = 0. Let v(l) = l**3 - 9*l**2 + 10*l - 7. Let j be v(8). Let q = 12 - j. Calculate the least common multiple of q and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/21245 and -61\/935?\nAnswer: 3972815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -129896.\nAnswer: 5\/129896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.4737773 to 3 decimal places.\nAnswer: -30.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -10*g + 32. Suppose -2*i = -5*i - g*i. Suppose i = -k - w + 128, 2*k - 3*k + 124 = 3*w. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 64. What is the remainder when -3 + (1 - 4 - (5 + -70)) is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n - 3)*(1391 + 978 + 967).\nAnswer: 3336*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/6 + 7*g**2\/2 + g. What is s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*j**2*y + 2*j**2 + 4*j*y + j - 501 with respect to y.\nAnswer: 106*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 32 = -1282*v - 1277*v + 2562*v, -5*v + 48 = -0*h - h for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/5, 87, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64166 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1262.29 - 1253. Let k = g + -9.4. What is the third biggest value in k, 1\/2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -846, -1263?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {s: 1, r: 2, t: 1, a: 4, p: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 894 and 1304346.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (24 + -22 - (2 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-6)*89510\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let v(w) be the third derivative of -w**5\/60 - w**4\/12 + w**3\/2 - w**2 + 87. Let q be v(j). Solve -3*u = -q*y + y - 13, 0 = 5*u - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 + 32*c**2 + 3 - 40*c**2 + 6 - 9.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 22*r = r + 8*r - 125, 6*r = 5*b + 98 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by -38755?\nAnswer: 272\/38755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l**3 - 3*l**2 - 5*l - 4. Let k(s) = -19*s**3 + 3*s**2 + 7*s + 5. Calculate 4*k(n) + 5*o(n).\nAnswer: 14*n**3 - 3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3036 and -4?\nAnswer: 4.3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 336? (a) -0.3 (b) -3\/2 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*w**2 + 426*w**2 + 90539*w - 90539*w - 1672*w**2 + 470*w**2.\nAnswer: -213*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -42. Let v(s) = -586*s**3 + 11*s**2 + 8*s + 8. Let b(i) = -391*i**3 + 7*i**2 + 5*i + 5. Let g(p) = 8*b(p) - 5*v(p). Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-28) - 7\/(-2). Suppose 0 = k*c + 10, 0*b = 5*b - 4*c - 11500008. Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15844112161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1397*s**2 - 1285238*s + 1839. Determine t(-920).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9707 - -3.9707. Sort -981, 1\/5, w in decreasing order.\nAnswer: 1\/5, w, -981","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*i**4 + 72*i?\nAnswer: -708*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3795 and 69\/10?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + (43 - -157) + -38.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*d - d + 31, 3*d + 37 = 2*i. Suppose -3*w + 10 = -i. Let p(o) = 20*o**2 - 4*o + 29. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2749368c - 0?\nAnswer: -2749368c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2515*r + 2*m + 21 = -2520*r, -2*r - 7*m = -2*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1901 - -1938. Suppose 0*b + 39 = 3*b. What is the remainder when z is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17781 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.8064, -4\/3, -8 in increasing order.\nAnswer: -8, -1.8064, -4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -80 + 161 - 83. Let b(o) = -48*o - 8. Let j(i) = -6*a(i) - 2*b(i). Differentiate j(x) with respect to x.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = -5*s, 3*p = s + 2*s + 12. Suppose -2*o + 3*f = -5 + 2, p*o + 3*f = 12. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - 9. Let a = 17 + l. Suppose 38 = i - 3*p, -85*i + 83*i + 65 = -5*p. Sort a, i, 1 in ascending order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7735?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 464658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.2 + -32.28. Let p = w - 8. Let a = 1.42 - p. What is a rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 50?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 233\nAnswer: -38\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/17, -1, -71\/5, 2, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 18, 54, 114, 204?\n\"Answer: g**3 + 3*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 14*u - 62*u + 897 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 15*t - 60. Calculate m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -165 (base 12) to base 8\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 9*l**2 + 239 - 17*l**2 - 96 - 82 + 7*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1512))\/(sqrt(54)*1).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15909 (base 10) to base 3\nAnswer: -210211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 - 20354264*b - 40708544 = 0?\nAnswer: -2, 5088568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*h*m**3*r + 11*h*m**3 - 78*h*w**2 + 2*m**3*r*w - 2*m**3*w**2 + m**2 - 4*m*r*w**2 + 191*m*r wrt h.\nAnswer: -16*m**3*r + 11*m**3 - 78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435525 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*a + 250 = 0, 2*v = -0*v - 2*a - 98. Let u be 2*(-10)\/(-4) - (-53 - v). Solve -u*s = 4*h + 12, 0 = -s + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13765?\nAnswer: 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 640.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (6 - (14 + -19 - (1 - 4))) + -4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9638 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720)*-1 - sqrt(720) - sqrt(720)))*-4 - (5 + 1*sqrt(720)))**2*-2.\nAnswer: -416210 - 4080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 1 + 1)*(0*n + 2*n + 0*n) - n + 2*n**2 + n - 2*n**2 + n**2 + 3*n**2)*(0 + 4 - 7).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-7) - 51\/((-14994)\/1941744).\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -30 - -8) + 4 + (11 - -22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 + 4*d - 4. Let i(j) = -7*j**2 - 3*j + 3. Determine 4*c(n) + 5*i(n).\nAnswer: -3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 5) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:22 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186070 and 2162.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 7*x**5\/30 - x**4\/6 + 11*x**2\/2 + 6*x. Let y(p) be the first derivative of l(p). Find the second derivative of y(h) wrt h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 2*(-3 + sqrt(1053)*1 + sqrt(1053) - sqrt(1053)))**2 + -6*-4*-2*sqrt(1053)*2.\nAnswer: -972*sqrt(13) + 4217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 0.3 (c) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 119, 70, 96, -4, 4 in increasing order.\nAnswer: -4, -3, 4, 70, 96, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277481341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 10 + 9489*a - 58.\nAnswer: 9489*a - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5461719.7 rounded to the nearest 1000?\nAnswer: -5462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3))\/(-2*sqrt(486)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2195*h**3 + 21868*h - 52342770.\nAnswer: 6585*h**2 + 21868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367402691 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 134 + 42 + 2*x**2.\nAnswer: 2*x**2 - 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 + 62091*k\/7 + 10468770\/7.\nAnswer: 3*(k + 170)*(k + 20527)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.14, -71929 in descending order.\nAnswer: 13, 0.14, -71929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -217 in -2, 1\/5, 3\/5, -0.53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 w when four letters picked without replacement from eewwdwdwwwepuw.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 h when four letters picked without replacement from {u: 3, e: 4, m: 1, w: 6, h: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 3*o**2 + 4*o + 1. Let b = 14 + -20. Let z be -6*(3 + 0)\/b. Suppose 0*w - 12 = z*w. Determine t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 18*q + 76. Calculate s(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 7. Suppose o = 3*n - 4*n + 49, 0 = -3*n - 5*o + 155. Suppose n = -5*j + 10. Let y(r) = 0*r**3 - 63 + r**3 + 67. Determine j*y(i) + 4*v(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1237 - -2.1237. Let l = -84 - -754\/9. Put l, h, 13, -3 in descending order.\nAnswer: 13, h, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 844856936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/189 and -53\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**2 + 2*s - 6. Determine u(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4516625 + 2?\nAnswer: -4516623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(10\/11)\/y**(-3\/26) assuming y is positive.\nAnswer: y**(293\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*v**3\/3 + 3008*v**2\/3 - 7580*v + 600.\nAnswer: -4*(v - 15)**2*(25*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 161603 + 323206 + 4*r - 161603 - 7*r + 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**4 + 15*p**2\/2 - 13. What is the second derivative of g(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -249 - -21607?\nAnswer: 21369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*x + 3. Suppose -x*k = -32 - 175. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818 = 98*w + 17792. Which is the smallest value? (a) w (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 + 257. What is the greatest common divisor of s and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45234.43 minutes to nanoseconds.\nAnswer: 2714065800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -f, 5*y + 24 = -4*f + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*w**2 + 30*w**2 - 302*w**2)*(-4*w + 2*w + w) + (3*w**2 + 4*w**2 - 4*w**2)*(2 - 2 + w).\nAnswer: 306*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -110, -210, -298, -374?\n\"Answer: 6*d**2 - 118*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13950200 divided by 8.\nAnswer: -1743775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -20*u**2 + 56*u + 336. Let o(i) = -i**3 + 19*i**2 - 55*i - 320. Let k(m) = 4*o(m) + 5*s(m). Factor k(l).\nAnswer: -4*(l - 4)*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a + 4*w, -6*w + 8 = 3*a - 2*w. Let f be 12\/(-42) + (-446)\/7. Let v be (1 - (-2)\/(-3))*12\/f. Is a less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.4464687 and -0.1.\nAnswer: 1.34464687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h*h*h**(-9)*h))\/(h**(-2))**41*(h**(-2)\/h)**(-1\/24)*h**1*h*(h*h*(((h\/(h*h**(-7))*h)\/h)\/h)\/h*h*h)\/h assuming h is positive.\nAnswer: h**(729\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -49103337 = -147310010\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3300))\/(sqrt(11) - (sqrt(44)\/sqrt(36) - sqrt(11))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1027 - 947.29. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 2 + -1 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 5212.\nAnswer: 250176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4346800 is divided by 330?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 + 4*u - 5. Let f(h) = -6*h**2 - 3*h + 4. Suppose 4*d - 24 = 4*p, d - 13 = 2*p - 2*d. Let b(y) = p*w(y) - 6*f(y). Give b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.061 (b) -210 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771853 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 504103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/11 + (-42)\/77. Factor -68 + 68 + f*v**2 - 3*v**3.\nAnswer: -3*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 121*o**2 + 61*o + 13. Determine t(60).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -44.34. Let l = 0.54 + g. Which is the second biggest value? (a) -5 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, e: 13}. Give prob of picking 2 u and 1 e.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u = 0. Let w = 2.8 - 1. Let p = 2 - w. Which is the closest to -0.1? (a) -5 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/53)*y\/(y*y**(-10)))\/(y\/(y*y**(-5)*y))**(2\/33) assuming y is positive.\nAnswer: y**(18749\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let p(z) = 29*z**2 + 0*z + 6*z**2 + 0*z. Calculate p(l(k)).\nAnswer: 140*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/35 and 73\/12482900.\nAnswer: 87380300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/11 - 54\/11*c - 2\/11*c**3 + 18\/11*c**2.\nAnswer: -2*(c - 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose 2 = -i*w + 12. Is 5 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - -48. Let w = q - 220.7. Let r = -1.6 + 2. Which is the smallest value? (a) r (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5905 and 1.\nAnswer: -5905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 48*o + 110*o)*(-o - 4*o + 3*o).\nAnswer: -328*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 9*p + 1. Let g(j) = 1. Give 3*g(t) - r(t).\nAnswer: t**2 - 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1801524 and 459?\nAnswer: 16213716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90811 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162433 and 58834?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6624*y**2 + 71948*y**2 + 10*y - 6*y - 4*y.\nAnswer: 78572*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 4*s**2 + 3*s**2)*(-5*s + 3*s + 0*s)*(-4 + 8 + 8).\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220 and 0.0541.\nAnswer: 11.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - (8 + 16) - (68 - 8)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 2*t**2 - 18*t + 36. Calculate u(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18798609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/9)\/((-4755)\/5706)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90279*-81.\nAnswer: 7312599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 846.566 - 847. Let x = -0.455 - j. Which is smaller: -0.02 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 6*d + 4. Let k be b(5). Let t = k - -11. Let i = 8 + t. Solve -2*u + q = 3*u + i, -4*u - 2*q - 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qefeueemqeeeeqmeqe. Give prob of sequence fue.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*h = 3*s - 23, -4*s + 5*h + 95 = 0. Suppose 24*d = s*d - 31. Solve -3*u = -5*g - 6*u - d, 28 = -4*g - 4*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 750662, 1501541, 2252420, 3003299, 3754178?\n\"Answer: 750879*u - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 109 - 33 = 2*n, 103 = 3*n + 2*d. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -365.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 258 - 1649 = 0. What is the remainder when 532 is divided by q?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -211853 and -9?\nAnswer: 1906677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -2021 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - 2*sqrt(1331)*-2) + -3 + sqrt(1331) + 2)*-1)**2.\nAnswer: -132*sqrt(11) + 47917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 10. Suppose -22 = -3*x + 5. Let f = -15 + x. Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -3\/40175 (b) 1\/5 (c) -1 (d) -6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1085 + 1092. Calculate the highest common divisor of j and 1057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1 + 67 + -2. Suppose 0*c - 35 = -5*c - 5*j, 4*c - 46 = 5*j. What is the greatest common factor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001111 (base 2) to base 10.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35927460 divided by -30447?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2723 + 4214*z**2 + 2723.\nAnswer: 4214*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*10\/4550*(6\/7)\/(3\/14).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**11)*k**1)**(3\/5)\/((k\/(k*k**(1\/5)*k))**(-2\/79))**(-11) assuming k is positive.\nAnswer: k**(-2238\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/7 + 90*u**4 + 6549*u**3\/7 + 11196*u**2\/7 + 5280*u\/7 = 0. Calculate u.\nAnswer: -8, -1, 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 13) to base 12.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/141562 and -6\/21043.\nAnswer: 1557182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 4*l**3\/3 - 22*l**2 - 72*l + 648.\nAnswer: 2*(l - 6)**2*(l + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 2 (b) 0.1 (c) -3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 90 in ascending order.\nAnswer: -5, -1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-8))\/(q*q*q**6*q*q)*((((q\/(q*q**(-1\/6)\/q)*q)\/q)\/q)\/q)\/q**(6\/7) assuming q is positive.\nAnswer: q**(-113\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 553323*p**2 - 3*p + 0*p.\nAnswer: -553323*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76106969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7 = 4*h, 2*h - 164 = -166 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 324*g + 78. Give w(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 0.5 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 - 10*b + 1. What is o(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815144 is divided by 650.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/(-34)*6\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154397471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295 by -5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (1 + 2)\/(3\/221296). Round n to the nearest 1000.\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -155, -339, -599, -941, -1371?\n\"Answer: -v**3 - 29*v**2 - 20*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w - 42. Does 19 divide (w\/(-3))\/3 + (-8 - -102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 5239 = 72*n. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7211920.\nAnswer: 2, 5, 90149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + 0.88. Let h = l + -0.7. Is -6 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*a - 19 - 7, 5*u - 6 = -a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2 + -1 - (-1 + sqrt(192) + -1*sqrt(192)))**2 + -5.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12736429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/21*-2)\/(10\/(-385)). Suppose 12 = -4*q + 3*l, -12 = 4*q - l - 3*l. Let f be (20\/6)\/((-2)\/q). Solve -5*z - a = -21, 3*a - f = 5*z - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m - 154. Let z be l(19). Let x(t) = -4*t - 2 + 0 - 3. Let b be x(z). Solve -4*k + 0 + 12 = 4*g, b*g - 21 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -398\/63 + 1655\/252. Suppose h = 6*h - 5. What is the closest to -2\/11 in c, 5\/4, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 9 + 8 + 1 to the form h + t*f**2 + j*f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 6. Suppose 2*o + 24 = -0. What is the remainder when 51 is divided by h(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/42 - -13\/42. Let m be 4\/(-42)*(-3)\/(-2). Which is the nearest to m? (a) 0.09 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {s: 6, u: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:39 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0108429965 rounded to 7 decimal places?\nAnswer: 0.010843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (920\/36 + -22)\/(1\/(-9)*-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*y = 802*y + 567 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 1750 = 15*m. Calculate the least common multiple of m and 6.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73288901 divided by 4.\nAnswer: -73288901\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 45 = -p, 33 = 2*p + h - 66. Let q(s) = s**2 + 8*s + 5. Let j be q(-8). Suppose j + 12 = c. Calculate the remainder when p is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.171 + 19.1. Let y = -4.171 - o. What is y rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from ddwzzdwwdddzddffdw?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + u + 4 = 5*u, -t = -3*u - 2. Suppose -t*l + 5*a + 3 = 9, 2*a = 2*l. Find the third derivative of -l*p**2 + 2*p**2 - p**3 - p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - n = -5*n - 20, 5*n - 11 = -4*c. Let y be (14\/(-8))\/((-1)\/(-4)). Let r = y + c. Let m(d) = d**2 + 4*d. Calculate m(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 8*u + 7. Let p be l(-9). Let h be 605\/(-66) - -8 - p\/3. Which is the nearest to 0? (a) -4 (b) h (c) 12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**5 + 2*j**5 - j**5 + j**5 + j**5 + 0*j**5 + (-2*j**5 + 2*j**5 - j**5)*(-1 - 1 + 0).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 40. Suppose d = 2, f = -f + 2*d + u. Suppose -3*y = -8 - f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694751197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 - 9 + 9)*(1 - 3 + 0)*(198*c - 251*c + 526*c) to the form s + k*c and give k.\nAnswer: -34056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*v = 20, 2 + 0 = -v. Let l(p) = 12*p + 20. Let s(r) = -4*r - 7. Let h(t) = -5*l(t) - 14*s(t). What are the prime factors of h(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21754670 or -21754673?\nAnswer: -21754670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16 + (-7)\/120\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 110, 245, 460, 773, 1202, 1765?\n\"Answer: 3*q**3 + 13*q**2 + 13*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*((sqrt(108) + 1)*5 - (sqrt(108) + 0 + -3))*6 + -1.\nAnswer: -144*sqrt(3) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.3 (c) -117185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/27)*g**(1\/9) assuming g is positive.\nAnswer: g**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1) + (6 - 0). Find the third derivative of -3*f**6 - f**6 + 2*f**2 + 2*f**2 + 3*f**b wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 30938 + 5*h + 61880 - 30942.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0 + 2 - 2 + 2 + 4*q. Let k(j) be the second derivative of 1\/2*j**2 + 0 + 1\/3*j**3 + j. Determine 7*k(s) - 4*w(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 6*j)*(-1 + 3 - 1) + 0 + 0 + j + (-1 - 1 + 3)*(4*j + 2*j - 4*j) in the form s + i*j and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((2 - 2) + (5 - (-3 - -10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-2))\/(-1 + -1). Suppose 4*o - 4*w - 44 = 0, j = o - 4*w + 3 - 23. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34529948785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25221.2 millilitres to litres.\nAnswer: 25.2212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 2596023.\nAnswer: 7788069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/5 - b**4 - 2*b**3 - 2*b**2 - b + 197. Find i such that a(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 86. Let q be n(12). What is the third derivative of 36*l**5 + 6*l**2 + q*l**3 - 49*l**5 + 16 - 4*l**2 - 3*l**2 wrt l?\nAnswer: -780*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 286 and (-3)\/(36\/(-39))*8?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*f = -67*f - 222 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-5)\/3. Let w(x) = -x**2 - x**a - x**2. Let m(i) be the first derivative of -2*i**3\/3 - 3. Calculate w(m(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-72)\/(-32))\/((-9)\/24))\/(-3). Differentiate 13*s**2 + j*s + 20 - 22*s**2 + 47 wrt s.\nAnswer: -18*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*-3*sqrt(700) + sqrt(700)*-4 + 0 + sqrt(700)))**2 + 2.\nAnswer: 510302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.7634116 and 1198920.\nAnswer: 1198923.7634116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10233 and 1516.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*s = -392*s + 9696 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.77 less than -159.851?\nAnswer: -212.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 14\/(-9))\/((-14)\/(-63)). Let h(w) = -2*w**2 - 5*w + 16. Let g be h(r). What are the prime factors of ((-41)\/g)\/(-2 + (-10)\/(-4))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834606783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 69, 128, 241, 426, 701, 1084, 1593?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 31548.\nAnswer: 31548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -11*d + 23179. Let m = d + 624. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 - 5*z + 6. Let x be p(5). Let r = -7 - -10. Suppose -r*g - 2 + 11 = 0. Solve -4*q + g*s + 3 = x, -24 = 4*q - 2*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*z - 140*z + 10 = 0. Factor -33 - 3*q + 16 - 2*q**z + 16.\nAnswer: -(q + 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283 * -1211.\nAnswer: -342713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1486717 millimeters?\nAnswer: 0.0000001486717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5*c - 2. Let x be a(-3). Let m = -752 - -230. Let t = 524 + m. Solve 0 = x*j + t*h + 12, 2*j + 24 = -3*j + 2*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*a = -10, 5*w + 2*a = 6*w. What is the least common multiple of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28785?\nAnswer: 3, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.834 + 7.579. Round m to 1 decimal place.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -967.\nAnswer: -967, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(7*(-15)\/473550). Is (s\/(-110))\/((-4)\/(-240)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5515650 and 29664?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1918 + 1913. Which is the second smallest value? (a) 0.2 (b) -0.4 (c) w (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 834 + 782. What are the prime factors of a?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d. Suppose d*i + i = 0. Let g be -2 + 75\/27 + -1. Which is the third smallest value? (a) i (b) g (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 0. Let t(k) be the third derivative of -k**5\/60 - 3*k**4\/8 - 5*k**3\/6 - k**2. What are the prime factors of t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 10. Let a be t(-7). Suppose -a*j + 23 + 9 = 0. Calculate the remainder when 38 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 538 = -5*w, 5*l + 420 = 4*w. Suppose 25*o - 3*o = w. Which is the biggest value? (a) 0.4 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 2*h**2 + 16*h + 28. Let t be y(-2). Solve 3*z - t*j - 5 = 5, -3*z = -2*j - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84890481483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18550929 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1205)\/(-241)*36\/10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from zzazzdmtdazz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 1. Suppose -3*g - 4 = -1, 2*g = v - 3. Let c be q(v). Suppose c*r - 5 = -r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10597 - -4792. Which is smaller: -5806 or f?\nAnswer: -5806","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*f + 30*f - 55*f + (4 - 1 - 1)*(2*f + 0*f + 8*f).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-4 - (-44603)\/4888. Suppose a*s + 3\/4*s**2 + 1\/8*s**3 + 1\/2 = 0. What is s?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 3*n**2 + 9*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/5))\/u)\/u*u*u**(-1\/16))**31 assuming u is positive.\nAnswer: u**(837\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvmemqmqrermeqmmm. What is prob of picking 2 e, 1 q, and 1 m?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -224 (c) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-48)\/(-13)))\/((-4)\/8)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 241 + 103 = 640 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34896155 divided by 6979231.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1097914 + 1097988.00028. Let s = 74 - c. What is s rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 62*y - 4. Let j(d) be the first derivative of -8*d**3\/3 + 5780. Give j(s(q)).\nAnswer: -30752*q**2 + 3968*q - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -17260*s - 51778. Calculate t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502777835?\nAnswer: 5, 7, 2861, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*y + 5*j, -6*y + 2*y - 2*j - 14 = 0. Let o = 10.5 + -9. Let d = 1.4 - o. Sort d, -2, y in descending order.\nAnswer: d, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*t**3*u - 4*t**3 - 2*t**2*u - 164*t - u wrt t.\nAnswer: 372*t*u - 24*t - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 10. Let u be (8\/48)\/((-3)\/(v\/(-15))). Factor 8\/15 - 8\/15*c + u*c**2.\nAnswer: 2*(c - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.762 and -7932.\nAnswer: -7916.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11486636*n + 5743398*n + 4*n**2 + 5743238*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -778 - -861.3. Let q = 85 - v. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1384 - 1272 = -8*l. Let z(s) = -14*s**3 + 5*s**2 + 5*s. Let q(g) = -42*g**3 + 14*g**2 + 14*g. Calculate l*z(m) + 5*q(m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 33\/5 of a microsecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116581983?\nAnswer: 3, 7, 41, 135403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3\/5 + 1107868*o**2\/5 - 886304*o + 4431536\/5 = 0.\nAnswer: -276971, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4487364 is divided by 4061.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 4*n**2 + 5*n.\nAnswer: -n*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.81 - 3.71. Which is the second biggest value? (a) x (b) -49 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 2*g)*(5*g - 7*g + 2 + 6).\nAnswer: -2*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u**2 + 12071*u - 176057. What is i(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -r - 2144, -539*z + 2*r = -544*z + 2147. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -330. Let y(n) = 1. Let i(v) = 2*v - 3. Let t(p) = -i(p) + 2*y(p). Give t(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 6698\nAnswer: 1\/3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 453481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 1435.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00490069 rounded to 5 decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/120 - z**5\/60 + 5*z**4\/24 + z**3\/3 + 6*z**2. Let c be ((-2)\/(-4))\/(1\/(-6)). What is the units digit of j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + 115. Let h = 169 - s. Solve 9*m + 15 = 2*a + 4*m, -4*a = -h*m - 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*i + 1530*i**2 - 1530*i**2 + i**3.\nAnswer: i**3 - 126*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 50248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -12, 4 in increasing order.\nAnswer: -12, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 10 = 5*y + 3*j, 0 = 81*y - 6*j + 8*j - 294 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57362?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 101*d - 16. Let p = -7 + 14. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(242) - ((sqrt(242)*5 - sqrt(242))*2 + sqrt(242)) - (1 + 1*(sqrt(242) + 2) + 1))**2.\nAnswer: 1232*sqrt(2) + 15537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -23. Let x(v) = -4*v - 15. Let f be x(u). Solve -f = 4*k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {l: 9, x: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*m - 3*t + 52, -2*t - 16 = 4*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**3 - 172*f**2 + 4390*f - 64277. Give r(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 6*u - 3. Let c be -2*6\/(9\/3). Let l be s(c). Let f = 10 - l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i + 5. Let t be (-6 - -2) + (-2 - -2). Let w be r(t). Let u = w - 2. Put -0.4, 0.5, u in descending order.\nAnswer: 0.5, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3645 + -3644. Let f(a) = 10*a**2 + 4*a - 3. Calculate f(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -24. Solve 2*b + 3*d - 6 = -b, -c*b + 8 = 3*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xssxlxzxxxsx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23526 and -0.5.\nAnswer: -0.11763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 469*p + 98. Let b(i) = 11180*i + 2353. Let r(h) = -6*b(h) + 143*j(h). Give r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/z)**17*(z**1)**(-9\/2) assuming z is positive.\nAnswer: z**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-5*k + 3*k + 0*k) - 10 - 226*k - 15 + 25 to the form h + f*k and give f.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 33*o + 5. Let w(c) = 5*c**2 - 34*c - 5. Let z(a) = 6*k(a) + 5*w(a). Let n be z(-28). Let b(l) = -l**3 + 4*l**2 + 5*l + 4. Give b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2. Let p(r) = 6*r**2 - 2*r + 2*r**2 - 1 - r**3 - 4*r**2. Let g be p(3). Let m(b) = g - 2 - 6*b + 0. Calculate k(m(h)).\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 0.3, 2\/15, 1\/3, 24737 in increasing order.\nAnswer: 2\/15, 0.3, 1\/3, 67, 24737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(98)*2 + sqrt(98) + 5*(1*sqrt(98))**2)*-4 - (-4 + ((1 + sqrt(98))**2 - sqrt(98)) + 2)*5.\nAnswer: -2453 - 119*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5573 + -220. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 - -165. What is the smallest common multiple of 9 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*a - 91234 + 92956 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 14*t**3\/3 - 1. What are the prime factors of p(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:35 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*y - 1 + 8 = 997*y - 1978*y - 5*a, 2*a - 32 = 5*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -3)**2 + 5 - 4*(1 + sqrt(3) + sqrt(3))*4.\nAnswer: -56*sqrt(3) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = 5*x, -6*x = -2*x - 2*q - 12. Let a be ((-3)\/7)\/(2 + (-60)\/28). Solve 2*m = -a*c + 8, 0 = m + m + x*c - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 = -82. Let m = 84 - p. List the prime factors of m - (3\/2)\/(21\/(-28)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((-12 - 2) + 8). Let f(q) = -510*q**2 + 224*q - 8. Let x(l) = -510*l**2 + 224*l - 8. Let n(r) = o*f(r) - 6*x(r). Factor n(b).\nAnswer: 2*(5*b - 2)*(51*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, -6 in descending order.\nAnswer: 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 4, n: 1, y: 5, b: 3}. Give prob of picking 3 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45360 and 98.\nAnswer: 317520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 506692000 to the nearest one million.\nAnswer: 507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2 - (-2)\/1). Let n be (o\/8)\/((-6)\/16). Let m = -12873.8 + 12874. What is the second biggest value in 0, n, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101231013 + 11?\nAnswer: 101231024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/2981?\nAnswer: 6\/2981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -25*q - 21. Let y(b) = 5*b + 4. Let v(w) = 2*i(w) + 11*y(w). Let c(f) = -2*f - 1. What is -9*c(g) - 4*v(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/24)\/m)**31 assuming m is positive.\nAnswer: m**(-775\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 24. Let y(s) = 15*s + 16*s + 3*s**2 - 27*s. Give y(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 6*q. Let y(r) = -r**2 + r. Let a be y(-2). Let x = q - a. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29380*c**3 + 58765*c**3 - 29380*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2. Let g(z) be the second derivative of z**4\/4 + 6*z. Determine g(b(o)).\nAnswer: 192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 2*i**2 + 2*i + 1. Calculate k(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 - 7. Let g(s) = s**2 + 2. Let n(t) = 4*d(t) + 14*g(t). Let x(i) be the first derivative of 0*i + 9 - 1\/2*i**2. Calculate n(x(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -40)*-3 + 2. Suppose 6*b - b = s. Suppose 5*j - 4*j - b = 0. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.5 - 66. Let g = s + -10. Let m = 4 - g. What is the third biggest value in m, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 210*v - 15. Let y(z) = -z**2 - 30*z + 2. Let q(a) = -2*s(a) - 15*y(a). Solve q(d) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404879910.\nAnswer: 2, 3, 5, 421, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079.121 weeks in minutes?\nAnswer: 31037539.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 4. Suppose z*p + 12 = o, -5*p = -o + 22 + 2. Which is the biggest value? (a) o (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Suppose j*m - 5*m + 3 = 0. Let y(q) = 296*q + 2070. Let t be y(-7). Which is the third smallest value? (a) t (b) 7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1458?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2284.436 and -0.1?\nAnswer: 228.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (550*(-15)\/(-630) - 1)) + 1430\/21\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + -19. Let d = v + 166. Let r = d - 116.999902. What is r rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0*z**2 + 0*z**2)*(-3 + 1 + 5)*(7*z**2 - 28*z**2 + 6*z**2).\nAnswer: 180*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10294*j**2 - 28420*j**2 - 25*j + 25*j.\nAnswer: -38714*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.40387 - -20.4. What is k rounded to 4 decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + -6 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + r + 11 = -12, 4*a + 127 = 3*r. Let h be 1\/2 + 126\/a - -5. Solve v + h = -1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 2.8287.\nAnswer: -0.1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, r: 9, y: 1}. What is prob of sequence eyr?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 503326 (base 9) in base 3?\nAnswer: 120010100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 126*w**2 - 148*w**2 + 20*w**3 + 10*w**3.\nAnswer: 27*w**3 - 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1975363300 to the nearest one million.\nAnswer: -1975000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1689 and 43\/4.\nAnswer: 6756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 5605.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -18 - (-7 + 14 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 + 1) - (2 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 73*w - 93*w + 49 + 156*w. Is o(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 248.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 48*k**2 - 52*k**2 - 67*k**2 + 54*k**2.\nAnswer: -113*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10791)\/(-327)*16\/(-44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by -6250?\nAnswer: 171\/6250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*a**3 - 483*a**2 - 43*a**4 + 3*a**4 - 236*a**2 + 24*a**4 wrt a.\nAnswer: -384*a - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**8\/50400 - n**7\/18900 + 13*n**4\/24 - 15*n**2. Let l(r) be the second derivative of j(r). Solve l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6)\/((-2)\/36). Calculate the greatest common factor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-6)\/(-1 + 7) + 8 + -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, t: 4}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 4, 2\/3, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6812367.\nAnswer: 3, 199, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 127160 divided by -4\nAnswer: -31790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860 = 3*s - 3450 - 3210. Does 160 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 59 + 38 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2 + 4*c**3 - 2*c**3 + 5*c**2 - c**3. Let p be h(-5). Let a = 7 + p. Sort 1, -1, a.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbbrowrrh. What is prob of sequence hro?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 527, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6.9, 0, -7, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/2, -3\/7, -10, 11, 5, -0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/25)\/((-15)\/5*-1)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 266 - -dd7b?\nAnswer: 10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7488 - 7493. Let n(f) = -f**3 - 5*f**2 + f + 2. Let l be n(-5). Let d be (10\/3)\/((-2)\/l). Sort w, -2, d in increasing order.\nAnswer: w, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 18. Suppose 5*h + d = 4*y - 5, 2*h + 4 = -y. What is the tens digit of 5 + -4 + y + 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 28?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -340.2. Let g = 338.8592 + n. What is g rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 382 = 24*l + 602 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.00000316 + 18. What is s rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*r + 1, -2 = -2*r - 6*c + 8*c. Suppose y - i + 10577 = 0, r = 4*y + 27*i - 32*i + 42305. What is y rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) - -2*sqrt(48)*2)\/(sqrt(8) - sqrt(256)\/sqrt(2)))\/(sqrt(432) + 4*-2*sqrt(432) - -6*-2*sqrt(432)))**2.\nAnswer: 25\/233928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1)**2 + sqrt(27) - (sqrt(21)\/(1*sqrt(7))*1)**2.\nAnswer: -15*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 p, and 1 x when four letters picked without replacement from nqqcxxqcpxpcqc?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:21 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9333 - 283299?\nAnswer: -273966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 82*y**2 + 347*y - 6. What is z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-7) + (-12656)\/8624 and -91\/352.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxajzagg. What is prob of sequence zgax?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2091, 4268, 6475, 8712, 10979, 13276?\nAnswer: 15603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011 + -110111100?\nAnswer: -100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**2 + 140*c - 1272. Calculate y(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69.9 in -3, -7\/109, 0.5, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/151 and 44\/5?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -39. Let w be (-2)\/(-1) + (2 - 1). What is the greatest common divisor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*3*-1. Let b(c) = 36*c**2 + c + 2. What is the units digit of b(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i + 1. Let b(z) = 10*z**3 + 6*z**2 + 2*z + 2. Determine b(u) - 2*x(u).\nAnswer: 8*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -2510, -3 in increasing order.\nAnswer: -2510, -3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*k - 1403*k = 4*t - 205, 276 = 4*t - 4*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18209*c*l**2*t + c*l*t - 4*c*t + 2*l**2*t - 6346*l**2 + 5*l*t + l + 21*t wrt c?\nAnswer: 18209*l**2*t + l*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -2, 35, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/3)*h*h)**14)**(-50) assuming h is positive.\nAnswer: h**(-7000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2475*j**2 + 2192*j**2 - 198 - 454*j**2 - 750*j**2 + 9*j - 159 wrt j?\nAnswer: 6926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.253, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - -0.41. Let d = -0.9 + g. Let h = 0.9859 - 0.9859. Put d, 2, -0.4, h in ascending order.\nAnswer: d, -0.4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5705, -11409, -17113?\n\"Answer: -5704*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 35*f + 217. Let v be i(27). Is v less than 2\/1395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/261768 and -103\/104?\nAnswer: 261768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 34. Put -0.4, h, 0 in increasing order.\nAnswer: -0.4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g - 34. Let n(f) = -4*f**3 - 2*f**2 + 6*f - 4. Let k be n(-3). Let w = k + -58. List the prime factors of z(w).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884528 divided by -27753?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819745257 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*g + 145 = 169, 0 = 3*d - g + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/(-8) - 4 - (-69)\/782*-17\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 23 - 1 = 0. Let u(s) = s**3 + 6*s**2 + 2*s + 1. Let y be u(f). Let z = 15 + y. Solve -4*v + v - 9 = 5*c, -4 = z*c + 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Is i at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 10*d = 376. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*z**3 - 610*z**3 - 947*z**3 + 365*z**3 - 1802*z**3.\nAnswer: -3974*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -57*c + 1. Let x(u) = -38*u**2 + 112*u - 7. Let b(m) = 2*k(m) + x(m). Let l(d) = 19*d**2 + d + 2. Calculate -2*b(g) - 5*l(g).\nAnswer: -19*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13002401 - -1?\nAnswer: -13002400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 362444\/3 less than 120814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - b + 8 + 15 = 0, m = 3*b - 9. Solve 0 = 3*i - 4*w - 25, -i + 5*w = -17 - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002336981 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -2. What is the smallest value in -0.1, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4012\/649 + (-4)\/22. Let a(y) = y**3 - 6*y**2 - y + 5. Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59244225797 + -0.4.\nAnswer: -59244225797.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (910\/819*(-6)\/8)\/(3\/18). Which is the nearest to 0.1? (a) -65 (b) x (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 13814. Let l(z) = -9*z**2 + 7. Give g(l(y)).\nAnswer: -9*y**2 - 13807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/((-1)\/(-4)). Let y(k) = 6*k - 12. Let a(n) = -3*n + 7. Let z(r) = 5*a(r) + 2*y(r). Let v be z(m). Which is bigger: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - ((22 - 7) + 8)) + (7 - -3) + 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42018, -41768, -41374, -40836, -40154, -39328?\n\"Answer: 72*y**2 + 34*y - 42124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.0839.\nAnswer: -0.7551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 3941, -4, -1\/12, 8\/217?\nAnswer: 8\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 9*l - 8*l, 5*h - l = 2615. What is the remainder when h is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(54))\/(1*sqrt(4)\/sqrt(2)))**2 + 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buullyuuuuuuubub. What is prob of picking 1 b and 3 u?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*u + 5*k, -3*u - 3*k - 20 = -110. Suppose 16*y + 6972 = u*y. Round y to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + -8.798. Let t = s - 0.602. Suppose -3*y + 2 = -1. Put y, t, 4 in descending order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -47, -123, -269, -509, -867, -1367?\n\"Answer: -4*y**3 + y**2 - 5*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6924454 - 834?\nAnswer: -6925288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5805689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -12*f + 94. Let m(o) = -o**2 + 4*o + 7. Let l be m(5). Factor 3*a**3 - 11 + 6*a + f - 9*a**l.\nAnswer: 3*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 14676890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29779, 29747, 29705, 29647, 29567, 29459, 29317?\nAnswer: 29135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:52 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879.670514 rounded to the nearest integer?\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -13. Let w = -28\/261 + -149\/1044. What is the second biggest value in w, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-5 - -3)*1). What is the units digit of 4\/(-2) + q + 60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2 - -4) - -3. Suppose 0 = 2*m - m - v*u - 12, -3*m = -4*u - 14. Let y be (0 + m)*20*375. What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (7 + -12)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -62. Suppose -j - 706 = -2*s, -3*j - 2303 + 537 = -k*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2645 and -904617305.\nAnswer: -904617305.2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*i = 1198, 4*x + 2492 = i - 2345. Let b = x + 30. Round b to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76765 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3 + 8*d + 43. Let i(p) = -3*p. What is i(z(j))?\nAnswer: -9*j**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a + 68. Let j(m) = -m. Calculate j(q(t)).\nAnswer: 15*t - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 15058, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/113, -0.3, -40, 156, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3 - 3*o**3 - 4*o - 4*o**2 + 0*o + 5*o**3 to j + s*o**2 + x*o**3 + k*o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let k(z) = 10*z. Let v(o) = -3*k(o) - 16*n(o). Let f(t) = t. Let p(m) = -4*m. Let i(g) = -5*f(g) - p(g). What is -3*i(r) - v(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/4134, 1 in ascending order.\nAnswer: -5, 1\/4134, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1646 + -1644. Solve -s = i + f*i - 12, -i = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 1. Which is the biggest value? (a) -1\/5 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 79 = -5*y + 30, 0 = w - y - 69. What is the highest common factor of w and 5254?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3831, -7682, -11563, -15480, -19439, -23446, -27507, -31628?\nAnswer: -35815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 7*d + 6. Let v be c(7). Suppose 4 = -s, v*t + s = 3*t + 2. Let m(p) = 0*p**2 + 4 - 3 + 3*p**t - 2. Determine m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -65764*f + 1117977. Determine i(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125013 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 + -290.3. Let f = -18 + z. Let u = f + 0.3. Sort u, -1\/4, 2.\nAnswer: -1\/4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/889696 and -73\/3225148.\nAnswer: 25801184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 352, 261, 170?\n\"Answer: -91*w + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 904.6733+16\nAnswer: 920.6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/119 and -10\/153.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x\/x**(-2\/7))\/x)*x\/((x**(-5\/7)\/x)\/x))**(-49) assuming x is positive.\nAnswer: x**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (42\/7 - 64\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Let b(r) = -11*r**2 - 8*r + 15. Let k(a) = 5*a**2 + 4*a - 7. Let x(z) = 2*b(z) + 5*k(z). Is 18 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-1 + sqrt(76) - sqrt(76)))*-4 + -3 + (1 + sqrt(76) + 1)**2 + -1.\nAnswer: 8*sqrt(19) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 1346*z + 12685*z**3 + 1342*z - 4028*z - z**2 + 1341*z as y*z**3 + n + c*z**2 + x*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-32)\/1308000). What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837*j - 1865 = -6887. Solve -3*t = -5*d + 38, j*d + 3*t = 2*d + 25 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42961, -85902, -128843, -171784?\nAnswer: -214725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*s**4 - 340*s**2 - 293*s**2 + 75*s**4 + 7967*s - 354*s**2 - 5*s**4 wrt s.\nAnswer: -12*s**2 - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 6*b + 3 + 3*b - b. Let r be p(-2). Solve 5*f = o + 3, 2*f - r = 3*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 60. Suppose 11*l = 8*l + a. Suppose l*j = 2*j, 5 = h + 5*j. Solve -9 = -3*c, -2*w = -h*c + 22 - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 18.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -593 - -1135\/2. Let g = -25 - v. Sort 0, -1\/2, g in increasing order.\nAnswer: -1\/2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1567721 and -13\/596?\nAnswer: 934361716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let n be 3 + (k - 1) + 1. Suppose 1 = -2*s - 2*s + n*r, -s + 2*r - 4 = 0. Solve z + s*z = -3, -10 = -3*g + z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -28.32, -17\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2213 + -22129\/10. Let t(h) be the second derivative of -1\/4*h**4 + 0 + 0*h**2 + v*h**6 - 2*h + 0*h**3 + 0*h**5. Suppose t(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1861 - 3280?\nAnswer: -5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.7737 plus -589470?\nAnswer: -589343.2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 151. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - -7.6. Which is the fourth smallest value? (a) -1\/3 (b) 0.1 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/333*1*-1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -24, 14, 88, 210?\n\"Answer: 2*q**3 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let t(q) = q**2 + 910142. Determine m(t(p)).\nAnswer: -3*p**2 - 2730426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289505 - 242*p**2 - 289501 + 31*p**2 to t + q*p + f*p**2 and give f.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m + 2. Let o(y) = -y - 1. Suppose 16 = -19*w + 18*w - 15*w. Determine w*a(t) + 5*o(t).\nAnswer: 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114, -91, -70, -51, -34?\n\"Answer: -h**2 + 26*h - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10462 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)\/(p\/p**10) assuming p is positive.\nAnswer: p**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2011092020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose 0 = -2*q - 4*q + 24. Suppose q*c + k = -0. Is -5\/4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/7 + 2*v**3\/7 + 2*v**2 - 26*v\/7 + 12\/7 = 0. Calculate v.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -48, -68?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-90)\/(-10800)*56).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + (-16 - -2). Let t be w\/15*(-5 - 0). What is the greatest common factor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 40481.94 hours?\nAnswer: 2428916.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 97, 148, 201, 256, 313?\n\"Answer: w**2 + 46*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 19*o**2 - 20*o + 3. Suppose 0 = -3*x - 49 - 11. Let f be n(x). Suppose 4*a = f*i - 610, -a = 2*i + a - 416. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148239718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 127*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103505 + 54544?\nAnswer: 202453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v + 1. Let c = 16416 - 16398. What is the least common multiple of h(1) and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-357)\/4 + 265\/212. Let c = a - -91. Solve 0 = c*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -11 (c) 9\/8 (d) 5 (e) 2\/9 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + (-6 - (82 + -167)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Suppose -14*w = 12*w. Let t(y) be the third derivative of 1\/6*y**4 + 0*y + w*y**3 + 0 - 3*y**2. What is c(t(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025 + -4.025. Which is the second biggest value? (a) 2 (b) w (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -195*a - 1. Let c be u(-17). Suppose 7*i - c = -808. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7430 + -7354. Is y > -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172\/67 or -2?\nAnswer: -172\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35391425 divided by -5.\nAnswer: 7078285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:20 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-15)*(-42)\/28)\/((-21)\/2814*8).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 5*n**2 + 4. Let l be o(-5). Suppose 0 = -9*b + l*b - 5, -3*p - b + 137 = 0. Let c = 80 - p. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-6))\/(8\/18). Solve -i*g + 2*g + 6 = 5*p, -p - 1 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/11 + 134*j**3\/11 + 974*j**2\/11 - 44526*j\/11 + 121032\/11 = 0.\nAnswer: -41, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let r be g(1). Suppose -17 = r*i + 3*j, 4*i + 24 + 1 = 3*j. Is i > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786247468?\nAnswer: 2, 9413, 100559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 1. Let u be 2 + -2 - (-4)\/s. Suppose 0 = i - u + 1. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2060870, 4121740, 6182610, 8243480?\n\"Answer: 2060870*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/56 (b) 2\/7 (c) 3\/2 (d) 18 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129947?\nAnswer: 3, 7, 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3169655504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1377))*1)**2.\nAnswer: 90*sqrt(17) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55731 + -55732. Let d = -36 - -52. Which is the smallest value? (a) d (b) -4\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*i = 187*i + 32 - 2, -5*c + 6*i + 69 - 121 - 138 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d - 17 - 4 - 2*d + 10. What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-800)\/(-30) + (-1)\/(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/3 (c) -2 (d) 0.01 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -936 + 1531. Suppose t + 4*t = l. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 70 - 56 = 0. Let j(o) = -o - 3. Let x be j(-6). Let y = -133 + 137. Solve a*g + 25 = -x*g - 2*u, -g + y*u = -17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s - 290*s = 49*s - 692874. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 196?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, 0, -4\/7, -905, 1 in descending order.\nAnswer: 1, 0.1, 0, -0.3, -4\/7, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -11. Let v = s - 19.3. What is the closest to 7 in 6\/5, 0.3, v?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27700 by 5540.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.355 - -5.355. What is the closest to -1 in 3\/2, -5, h, -20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 225*q**2\/2 - 2589*q\/2 - 4896 = 0.\nAnswer: -3, 1088\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 20*a + 5 = 25*a, 3*a = -2*o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528683 divided by 117591?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133027997?\nAnswer: 1777, 74861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 128787 divided by -6\nAnswer: -42929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 * -1268341.\nAnswer: 233374744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -1 - 9)\/((-3)\/9). Let g = 483 + -483.1. What is the third smallest value in g, p, 1\/12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 4*j - 8. Let z be i(-6). Suppose z*g - 2*h + 5*h = 0, 0 = g - 5*h. Find the second derivative of -3*r + g*r + 7*r + 3*r**3 - 5*r wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*g**4 + 2059*g**3 - 19*g**2 + 77126404*g wrt g?\nAnswer: 2004*g**2 + 12354*g - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13074 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.42 - -194.58. Let v = g - 197.1. Which is the nearest to v? (a) -4 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52446877 divided by -1.\nAnswer: -52446877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -16272674\nAnswer: 3\/8136337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -12. Let m = 0 - 6. Calculate the least common multiple of d and (-4)\/(-6)*-3 - m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/(-18))\/(4\/(-6)). Let a be ((-8)\/m + -2)*1 - -19. Find the third derivative of -19*h**2 - a*h**2 + 16*h**2 + 30*h**4 wrt h.\nAnswer: 720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(-1)*-3. Suppose r*n - n + 7 = 0. Let x = 29 + n. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(911 - 1327 + 896)*(-1 + 0 + 3)*(-5 + 2 + 1)*(-3 + 3 + 2*c - 1).\nAnswer: 7680*c - 3840","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 - 5*b + 4. Let i be w(4). Suppose i = -30*u - 5680 + 250. Is -180 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 + 1.29. Let h = -934\/13 - -72. Sort -0.4, h, 0.3, x in descending order.\nAnswer: x, 0.3, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -9*t + 2*t - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 40. Let x be (-140)\/(-60) - d\/6. Let j(s) = -s**3 + 2*s + 1. Let a be j(-1). Solve x*z - 4 - 6 = a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18 + 767\/(-1770).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 483 = -5*y, -18*y - 2*w = -23*y + 482. Which is smaller: 98 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -6*f, 9 = 3*t - 3*f. Suppose -12 + 0 = -t*w. Let q(l) = 4*l**2 - 3*l - 12. What is the units digit of q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 11. Calculate the common denominator of n*(-5)\/30 + 18 and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001994400935 to 7 dps.\nAnswer: -0.0001994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - 3*sqrt(384)*-3)\/sqrt(8).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61, 54\/17, 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172697*k + 85845*k + 86756*k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 2. Let g be x(-2). Suppose m + 4*m - 4*v + 32 = g, 5*m - v = -23. List the prime factors of m\/(-14) + 75\/7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 1514 + 3095. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*h = x - 21, 19 = 5*x - 3*h. Factor 4 + x*o**4 + 11*o + 16*o**3 + 6*o**2 - o**4 + 5*o + 18*o**2.\nAnswer: 4*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + h. Let t(z) = 2*z**2 - 2. Determine -4*l(c) - t(c).\nAnswer: 2*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5948213?\nAnswer: 1877, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -33268 + 28300. Calculate the least common multiple of k and 3.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0*t + 0*t)*(-2 + 4 - 4)*(-7 + 0 - 18) to the form n*t + h and give n.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 + -295.6. Put -3\/7, 7, -2, z in descending order.\nAnswer: 7, -3\/7, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 + 19 = 3*m, 0 = -5*m - 3*b + 54. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107802 and 8586.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2421 times 5\nAnswer: -12105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 2932712?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.7752 tonnes in grams?\nAnswer: 959775200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 13 = 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (-5*2*sqrt(684))**2).\nAnswer: -136808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 9. Let f = -106 - -102. What are the prime factors of (g - f)\/(2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v + 5. Let o be p(1). Let u(d) be the first derivative of 3\/2*d**4 + 7\/3*d**3 + 0*d - 1 + o*d**2. Find the third derivative of u(s) wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8*(-2)\/(-288)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 + ((-2)\/2)\/((-341)\/8122)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289.0159 + 0.0159. Let c = -289.000216 - s. What is c rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/7)\/((-674)\/(-994) - 1) and 35\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -116644 in descending order.\nAnswer: 5, 2, -116644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sisdidssivlid.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + 191*u + 5. Calculate y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 94 + 110. Solve -i + 3 = -3*h, -3*h - 4*i = -m*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*2\/14*7. Solve -27 = -j*q - 97 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 198*w**2 - 1122*w - 5769. Determine p(192).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let a(s) = s. Let d(r) = 8*a(r) - j(r). Let k(h) = 36*h. Let l(z) = -39*d(z) + 6*k(z). Let y(c) = 2*c**2. Give y(l(g)).\nAnswer: 648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:53 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*g - 55, 2*c + 3*g + 5 = -18 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19003 - 6530. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1819*d - 1835*d = 240 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40\/13 - -228\/91. Let u = -1120 + 1126. Let w = 0.7 - 0.2. Which is the third biggest value? (a) w (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/3 - 24068*f\/3 + 15814800 = 0. What is f?\nAnswer: 2484, 9550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 33. Which is the closest to -1\/2? (a) o (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*v - 94*v - 90*v - 24 + 272*v.\nAnswer: v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -30.83, -0.03.\nAnswer: -30.83, -2\/3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1431175*j**4 + 3*j**2 + 2048913*j?\nAnswer: -17174100*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55048 and 15728?\nAnswer: 110096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1207.5 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 406859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 2, -3, 9 in decreasing order.\nAnswer: 9, 3, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))**41\/((o*o\/(o\/o**(-1)*o))\/o)**(-15))\/(o*o*o**(-1)*o*o**(-2\/7)*(o\/(o*o\/(o**(-5)\/o)))\/(o\/(o*o\/o**(-3)*o))) assuming o is positive.\nAnswer: o**(969\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146.999 + -0.001. Let t = r + 140.9. Let h = t - -6. What is the biggest value in h, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.15854 decades in centuries?\nAnswer: 1.515854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20843924 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107232 divided by -32.\nAnswer: -3351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.085 and 0.01.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 4, 3, 4, 7, 12, 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39678124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 51*z + 12 = 0. Solve z*l + 1 = -5*x, -2*l - 12*x + 5 = -13*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 12:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13286854599609\/6881 + -1930948212. Let f = i - 3\/983. Find the common denominator of f and 37\/11*1*(2 + -1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52760.12 millimeters?\nAnswer: 52760120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 210, 475, 846, 1323, 1906?\n\"Answer: 53*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 660 + -427. Let v(q) = -227*q - k*q + 456*q. Let y(t) be the second derivative of -4*t**3\/3 + t. Determine v(y(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 156?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + y + 9 = 0, 0*y + 3 = q - 3*y. Calculate the highest common divisor of q and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmff. Give prob of sequence fm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3447 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: Expand (3*c - 2*c + 3*c)*(-2*c**3 + c**3 - 3*c**3).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 13544 + 90951 + 55687 = 0. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620 and 16\/10 - (4284\/(-5))\/7?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*b*f**3 + b*f**2 + 12*b*f + 70710*b - 4*f**3 - 1143*f**2 + f + 1 wrt f.\nAnswer: 324*b*f + 2*b - 24*f - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 9*c**2 + 9*c + 11. Let t be k(-8). Suppose -t*x - x = -4*d - 4016, 2*x - 2009 = 3*d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 17*d + 99*d = -74*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13021 (base 5) to base 8\nAnswer: -1763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 993859 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-3)\/(-105)*5. What is the units digit of ((-10)\/6)\/(i\/(-76 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084 + -22820.\nAnswer: -22819.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2434 is divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7 + b**2 - 3 + 2267*b - 2304*b in the form h + y*b + s*b**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a factor of 390344298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*c + 3 = -c, -2*u + 3*c + 6 = 0. Suppose 102 = 4*j + 3*l, -3*l + u - 45 = -2*j. Let s = j - 4. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - 2.8. Sort -8, x, 1 in decreasing order.\nAnswer: 1, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + 0 + (18 - -1) + (-15 - -13) + -5?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - 4*j**3)*(3 - 5 + 0) + (-11*j**2 + j**2 + 14*j**2)*(3*j - 2*j - 2*j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -44*p - 3 + 86*p - 36*p. Let w(q) = -5*q + 2. Calculate 4*r(f) + 5*w(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-48.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411 (base 5) in base 2?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 25 + 0*b**3 + 2*b**2 - 2*b**3 as z + s*b**3 + k*b + t*b**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 2, x: 4, t: 1}. Give prob of sequence gxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-517)\/2)\/((-4)\/(-2))*4. Let v = -30 - r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4419 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from vfhwn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4394, 4, -4, -2 in increasing order.\nAnswer: -4394, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r**3 + 2*r**4 - 87*r + 660*r - 474*r**2 - 590*r - 721*r = 0. Calculate r.\nAnswer: -3, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -88\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/4 - 6\/12. What is the greatest common divisor of n and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3083.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4*9\/9)\/7. What is the closest to 3\/4 in -0.5, -1, 4\/5, b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-4))\/(-5) - (-5)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8 - p - 8*p**2 - 5 + 12. Let r(w) = -4*w - 113. Let b be r(-28). What is u(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 + 165. Suppose -c*i = -883 - 980. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*v - 65*v + 127*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 146. Suppose -w - 3*d = -62, -10*w + 7*w + 4*d + 225 = l. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -47*a**2 + 558*a + 2210. What is r(-4)?\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1 + -57 + 79)\/(-8).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53834037689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*1*-12. Let x = z - -8. Let v = 2 - x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*t = 4*r - 9, 3*r + 4*t = 13. Let m be (r\/(-3))\/(1\/9). Suppose h - 27 = 5*u, -m - 3 = 2*u + 2*h. Put 5, -2, u in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9450, 2, -1.\nAnswer: -9450, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*6 + 0\/73.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888 = 541*b - 467*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/6)\/(21307\/(-168519)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (10 - (6 + -8 - -7))) + -10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6 = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1324*h**3 - 5*h**2 - 5*h. Let r(c) = 2095891*c**3 + 7914*c**2 + 7914*c. Determine 7914*n(b) + 5*r(b).\nAnswer: 1319*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 257. Let y be p(0). Suppose 4*d + y = 5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let j(f) = 350*f**2. What is w(j(q))?\nAnswer: 1050*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1178 - -760. Let w = i + 610. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.4. Suppose 4*i + 3*n = 5*i + 8, 4*i + 18 = 5*n. Let f = -1190 + 1193. Which is the third biggest value? (a) -2\/7 (b) q (c) i (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2 + 12*k - 14. Let v(w) = -5*w**2 - 7*w + 1. Let x(y) = -6*y**2 - 8*y + 1. Let t(h) = 7*v(h) - 6*x(h). Determine d(r) + 12*t(r).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1911)\/14)\/(-13)*(8\/(-154))\/(-1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 11. Let a be b(0). 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: Suppose 3*j = 4*f + 330193, 4*f + 330198 = 2*j - 0*j. Let b = f - -9080259\/110. Let a = -56\/11 - b. Calculate the common denominator of a and 47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + 120 + (-1 + 2 - 1) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000428013 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 232. Let f = 17.8 + -18. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7721.\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**14)\/(n**0*n))\/(n*n**(2\/15)*n**5) assuming n is positive.\nAnswer: n**(-302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226753.\nAnswer: 226753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 80435084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) 5 (b) 0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h + 10. Let w = 30 - 35. Let u be q(w). Is (-3399)\/(-19) - 10\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 - 28768*m**4 - 51522832*m**3 + 727459992*m**2 + 881884692*m - 1557793080 = 0.\nAnswer: -3603, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1.16 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1 + ((-642)\/(-13) - 126\/(-273)). Let b be 0 - -2521*8\/(-390). Let l = o + b. Find the common denominator of l and -49\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 103. Suppose 2*w - 6 - 2 = 0. Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4896.2 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/53)\/m)\/m)\/((m\/m**(3\/4))\/m))\/(m**(2\/9)\/m**12) assuming m is positive.\nAnswer: m**(20015\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Suppose -3*v = 5*r - 4, 0*v - 2*r + 10 = 4*v. Suppose -2 = -v*i - 17. What is the units digit of t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11034210 (base 7) to base 6.\nAnswer: 32205320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 3, h: 6, p: 1, k: 3}. Give prob of sequence zph.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 911 + -911.5. Sort 0, t, 2\/7.\nAnswer: t, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 90. Let p(d) = -15*d + 17*d - 23 + 3*d**2 - 6*d. Is p(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 9. Let o be g(-4). What is the second derivative of -n**o - n - n - 3*n**3 - 4*n**3 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 26*n**2 - 40*n + 222. Let u be b(1). Solve -2*l = 2*l - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.5 + -22. Suppose -8 = -7*n + 20. Sort -5, -3, w, n in decreasing order.\nAnswer: n, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 47*r - 33. Let n be r\/(-5) - 184\/(-115). Find y such that -2*y**2 - 7\/2*y + n = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 0 + 15*j**2 - 2\/3*j**3 - 5\/24*j**4 + 0*j. Let x(p) be the first derivative of -p**2\/2 - p - 2. Calculate -2*f(u) + 9*x(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/3 (b) 0.044 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z**(-2\/43)*z)**(-35)*(z**(-1\/2))**(2\/141)*(z*z\/((z\/(z\/z**(-1)*z))\/z))**(-46) assuming z is positive.\nAnswer: z**(-748048\/6063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 656?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(4032))\/(sqrt(324) - (sqrt(324) - 6*(sqrt(324)*-1 - sqrt(324)))).\nAnswer: -10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 90470363.946 and -78.\nAnswer: 90470285.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 114. Let q = -24 + n. Suppose -q*o = -10*o - 1358. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 17. Let k = -10 + 2. Let f be (-2 + (-14)\/k)*-1. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -263*o + 606. Let n(a) = 48*a - 121. What is 4*h(z) + 22*n(z)?\nAnswer: 4*z - 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) + 27 + (-223188)\/(-147). Which is smaller: z or 1542?\nAnswer: 1542","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 50*q - 24*q - 18*q. Let o(w) = 4*w. What is s(o(j))?\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80*a**2 + 556*a - 58062 wrt a?\nAnswer: 160*a + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/4))\/f)\/f)**29*(f*f*((f**0*f)\/f)\/f*f)**(-37) assuming f is positive.\nAnswer: f**(-441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 - 14*o - 2. Let i(c) = -2*c**3 + 2*c**2 + 17*c + 3. Give -4*i(k) - 5*t(k).\nAnswer: 3*k**3 - 3*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:18 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -88, -213, -410, -691, -1068, -1553?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*w - 134, -216 + 39 = -4*u + 5*w. Suppose -4*o + 83 = -5. What is the remainder when u is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 3.3. Let j = -4\/51 - -169\/204. Sort j, 0, h in ascending order.\nAnswer: 0, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p + 10. Let a(v) = -v + 15. Let x be a(0). Solve 2*y + p*o = x, 2*y + 2*y + 12 = 4*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqcccac. Give prob of picking 4 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107676 by 54.\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 320*x + 1406 - 7746 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 - 2.2. Let b = -1912.3 + 2202. Let j = b + -290. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.8 - -22.2. What is the third smallest value in y, -17, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 852919?\nAnswer: 8529190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1321?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128050 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - 27*m - 282. Does 73 divide c(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - p**2)*(857*p**2 + 2*p - 4 + 2 - 854*p**2).\nAnswer: -3*p**4 - 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 30 - (32 - (0 + 22))) + 8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 39*v**2 - 91*v + 379. Determine d(41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o. Suppose 5*v - 2*v = o. Let y be 1\/(-3) - (-2)\/(-3). Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 - -903\/5. Sort h, 4\/9, 0 in ascending order.\nAnswer: h, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*h + 4*h**2 + 1643*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1)*-2 + 0 - (-3 + -2*sqrt(80) - (sqrt(80) - ((sqrt(80) - (sqrt(80) + (sqrt(80) - 2*sqrt(80)) + -1)) + sqrt(80))))**2.\nAnswer: -86 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 214\/40 + 14\/(-70) and (-1)\/(-2) - 88\/(-28).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2591 = 5*j - 2*l, 0 = -2*l - 2 - 4. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**2 + 0*q + 0 + 0*q**3 - 1\/60*q**5 + 1\/24*q**4. Let k(o) = o**2 - 11*o - 2. Let z(m) = -k(m) - 5*x(m). Factor z(t).\nAnswer: 2*(t + 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1871\/10 + 195. Find the common denominator of -87\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1667634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1640 - -116.663730886\nAnswer: 1756.663730886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 105\/(-14) + (-40)\/(-16). Solve 5*u - 5*l + 25 = 0, i*u - 2*l + 8 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10930482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613628 is divided by 350?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 19, 33, 47, 61, 75?\n\"Answer: 14*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 139.113. Let r = -0.1071 - s. What is r rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (188 - 187) + 32 + -1 + 25\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 113*r + 48 in the form o + u*r and give u.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j**2. Let u(i) = 24 - 6 + 4*i - 18. What is u(c(v))?\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -1 - (-2)\/3*(-2682)\/(-12). What is the highest common divisor of 1424 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01047 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8*-4*4. Suppose -z*x + 3*x = -3. Suppose 1926 = x*b + 267. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose -4*k = -v*k - 12. Let d = k - 3. Solve 3*f + 7 = o, -5*f + 4*o + 2 = -d*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2)*4 + (-4 - -10). Suppose 17*m - m - 4*m**2 + 7*m - 24 + 5*m**i = 0. Calculate m.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 48. Let b be 4\/42 - (-412)\/84. Does 20 divide 10654\/p - 1\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1044)\/580*-15*8\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 19, -617.\nAnswer: -617, -4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 1. Let y(j) be the second derivative of j**4\/4 - 4*j**3\/3 + 2*j**2 - 3*j. Let q(b) = 2*s(b) - y(b). What is q(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4124738 + -5924738. What is f rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 - b - 3. Determine z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*((sqrt(612) + -3)*3 + -4)*3*-1)**2.\nAnswer: -149040*sqrt(17) + 1837492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 5*p + 5*p + (5 + 1 - 4)*(p**2 + 5*p**3 - p**2).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 321 = -0*n - 4*n, -322 = -5*v + 3*n. Let m be (1\/5)\/((-26)\/v)*-6. Solve 5*j - 23 = 4*c - m*c, -4*j + 2*c + 16 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 1\/2*-8. What are the prime factors of 20*(-1 + x\/5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1236 + -3?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -3*(-80)\/(-15). Let v be 2 - 2 - d\/(-4). Let r(q) be the first derivative of -11*q**2\/2 - 4*q + 94. Let a(l) = -6*l - 2. Determine v*a(m) - 3*r(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 + 37*t**2 + 6*t**3 - 44*t**2 + 104*t - 1 - 18*t**3 to v*t**3 + n*t + s*t**2 + f and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9440 and 767885?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 1200. Suppose 0 = 5*g - 0*g - f. Let y be 4\/(-10) - 76\/g. Are -3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v + 683. Let a be y(-20). Solve -25 - a = -32*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggsgggggggg. Give prob of sequence ggs.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*n*x**3 + 2*n - 33*x**3 + 176*x**2 + 6 wrt x.\nAnswer: -288*n - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/z**11*z)\/z*z))\/z**(-4)*z*z\/(z*z\/z**1*z)*(z**(4\/3)\/z)\/z assuming z is positive.\nAnswer: z**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 7*c + 7*c. Calculate the remainder when 16 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 17*z - 8*z - 5*z + z + 2*z + (0*z - 5*z + 4*z)*(0 - 2 + 3) - 1 + 1 + 2*z - 3*z - 2*z + 7*z + 2*z + 2*z - 5*z - 1.\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79040200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276853 is divided by 55296.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/5 + 3\/5*z - 3\/5*z**3 - 63\/5*z**2.\nAnswer: -3*(z - 1)*(z + 1)*(z + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**3 - 2025*d**2 - 570*d - 63. Let f(i) = 6*i**3 - 1012*i**2 - 286*i - 26. Let s(h) = -5*f(h) + 2*x(h). Find the second derivative of s(n) wrt n.\nAnswer: -12*n + 2020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*v = 9 - 42, -28 = -5*r - 4*v. Let k be 1 + (-9 - r\/(-4)). Sort k, -1, 1 in increasing order.\nAnswer: k, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 309. Suppose 5*w = 182 - k. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-451*u**2 + 451*u**2 + 35*u**4)*(-4 + 2 + 4) + 5 - 5 - 5*u**4 to the form f*u**2 + h*u**4 + b + l*u + t*u**3 and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + 2 + (5 - 4 + 1)*(14 + 75 + 22))*(-3 + 3 - 4*z).\nAnswer: -856*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + z + 10 = 0, -z = 2*u + 3*z - 2. Suppose -g - 4 = u*g. Let c be g\/3 + (-12)\/(-12). Put -0.02, 2\/11, c in ascending order.\nAnswer: -0.02, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**4 + 7*u**4 - 18*u**4 + 0*u**3 - 5*u**3 - 13*u**2 - 10*u**2 as s*u**3 + w + h*u**4 + v*u + x*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*z)*(14745*z + 118*z**3 - 14745*z) in the form l*z**2 + r + h*z + k*z**4 + m*z**3 and give k.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15312.5440081 - -15384.544008177. Let m = -72 + w. What is m rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443484815 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 122. Let r(q) = 2*q + 18. Let z(o) = -4*o - 30. Let h(i) = 5*r(i) + 3*z(i). Give h(m(s)).\nAnswer: -4*s + 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {t: 5, b: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -677579 or -677575?\nAnswer: -677575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/2268345 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3 + 1 - 3 - n**2. Let b = 55 - 11. Let j = 44 - b. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.073, -0.3, 2\/5?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q**2 - q**2)*(-2*q + 0*q - 13*q)*(-4*q + 4*q - 4*q).\nAnswer: 120*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*j, 0 = 4*f - 9715*j + 9712*j - 56 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**4\/4 - 19*o**3\/3 + o**2\/2 + 19*o - 3. Let v be f(-19). Solve 2*p - 18 = -2*g, 0 = -4*p - 3*g + 32 - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 340*t + 70 - 81 - 246 - 1990*t. Is f(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 3157*b**5\/20 - 5567*b**4\/12 - 2920*b. What is the third derivative of j(k) wrt k?\nAnswer: 18942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 83480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 211 times 642899\nAnswer: 135651689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110110010101100001001 (base 2) to base 6\nAnswer: 102055001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 + 540 = 4*u. Suppose -u - 151 = -5*z. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(275) + -3 + ((sqrt(11) - (2 + sqrt(22)\/sqrt(2)))*-3)**2.\nAnswer: 5*sqrt(11) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 - 7. What is n(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(72))\/((sqrt(288)\/sqrt(6))\/sqrt(4))*-5.\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from hqhytqthqh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 4 + -5 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*g + 2*y + 6*y, -g - 2*y + 2*y - y = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190329666*b**3 + 441974684*b**2 wrt b?\nAnswer: -1141977996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by 155.\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -1 + -1 + (4 - -17 - 16) + -11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 353 = 543. Let b = q + 908. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0 - b**3 - 13*b - 1\/12*b**4 - 9\/2*b**2. Factor r(z).\nAnswer: -(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let j = 2.595 + -6.595. Which is the second smallest value? (a) -1\/4 (b) j (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 3*d - 2*n = -24, d + n = -6 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5728*i - 2818*i - 2910*i + 87*i**2 - 10.\nAnswer: 87*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.051 < 8.137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1178 (base 12) to base 6.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428 + 427.999998908. What is d rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 147*o**2 + 235*o. Let y(a) = -50*a**2 - 59*a + 3*a**2 + 10*a**2. Let m(z) = 2*k(z) + 9*y(z). What is the second derivative of m(n) wrt n?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.962 - -52.4. What is m rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -46*q - 51*q - 45*q + 137*q. Let v(r) = -2*r**2. Give i(v(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = -38*s + 41*s, 4*y - 12 = 4*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 7)*(-3 + 6 - 2 + 15*f) to v + k*f and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 8. Suppose 4 = 4*z - 4. Let w(s) = s - 2. Let g(j) = z*v(j) - 9*w(j). Suppose -23*f = 162 - 47. What is g(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/4, -3\/10, -0.81, -4, 2\/13?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1185866 and 627?\nAnswer: 3557598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h - 2. What is x(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018521354252 to seven decimal places.\nAnswer: 0.0185214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -53*f + 209 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 1, w: 1, i: 2, o: 1, c: 2}. What is prob of sequence wiq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 22*i - 1. Let c be -4 + 1965\/75 - (-3)\/(-15). Determine s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(1*sqrt(4)*-2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(90\/4))\/((-3)\/(-15))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63099138?\nAnswer: 2, 3, 17, 618619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 5*p**2 + p - 2. Let r be f(2). Suppose 4*x + 2*u + 341 - 881 = 0, r*u + 564 = 4*x. List the prime factors of x.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1466, -1464, -1462, -1460, -1458, -1456?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -5.5. Let z = -9 + 8.9. Let p = -0.03 + -3.97. What is the closest to z in p, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*r - 5367 = -95*r - 3*a, -a - 10713 = -4*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*a = -976, i + a = 162 - 482. Let t = i + 559. What is the remainder when t is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 - 7. Let u be f(3). Suppose u*z = -2 + 8. Suppose -r - 5 = -2*j, 3*j = -5*r - z + 4. Solve -2*x + 0*y = j*y + 6, 3*x + 5 = y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 1 - 5. Let v be 18*2 + 0\/a. Let f = -8 + 12. What is the greatest common factor of f and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, -4*c + 87 = 3*d - 23. Let i(n) = 324*n**2 + n. Let h be i(-1). Suppose -3*q + h = d. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5 - 2604*x**4 + 13158*x**3 + 54744*x**2 - 222915*x - 261900 = 0.\nAnswer: -873, -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -72.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/8)\/(45\/36) - 246\/(-380). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8842 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2881 and -74931\/26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450674 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 34 = -30*g + d, 6*d = -3*g + 48. What is the lowest common multiple of g and 1*8*(-9)\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 3*f - 5*z - 55, -3*z = f - 27. Suppose -r - f = -6*r. Sort -4, r, -2 in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + 4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5882, 3397, 0.\nAnswer: 0, 3397, 5882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 + 4*n**2 + 4*n + 2. Determine o(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 24 + 81 - 4*v - 26.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 17933 - 16936 - 31831 - 7589.\nAnswer: j - 74289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -b + 4*r, -3*b = -0*r - 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7822 or -4?\nAnswer: -7822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/5 - 31*s**3\/5 + 33*s**2\/5 + 31*s\/5 - 32\/5.\nAnswer: -(s - 1)**2*(s + 1)*(s + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.09415ng to milligrams.\nAnswer: 0.00006109415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336265388?\nAnswer: 2, 84066347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -769*h**3 + 368*h**2 wrt h?\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -m + 5*t, 0 = -14*m - 5463*t + 5465*t - 36 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/(-204))\/(3 + (-579)\/189)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 30 = l, 2*x = l + 3*x + 18. Let p = -5 - l. Let m = -2 - -8. What is the lowest common multiple of m and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sqts.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -19*b. Let f(s) = 8*s. What is f(r(y))?\nAnswer: -152*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*t**2 + 187*t**3 - 182*t**3 + t + 173*t**2 - 6*t.\nAnswer: 5*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -6*s + 52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 7. Let k(o) = o**2 + o - 13. Let z = 44 + -40. Let i be k(z). What is f(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 7*f**2 - 5*f + 6. Let q be 42\/(-28) - 21\/6 - -41. Let t = q + -43. Determine v(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 - 264*m**3 + 2*m**2 - 591*m wrt m.\nAnswer: 12*m**2 - 1584*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*b + 150. Suppose b = 3*d - d + 3*p, -5*d = -p - 131. Suppose 2*n - 4*t - 15 = 7, 56 = 4*n + 4*t. What is the highest common factor of d and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 - 1497 = 184*d + 1248 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.159 + 84.159. Let k = n - 77. Which is smaller: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2 + 2)*((5 - 5 + 3)*(0*q - 2*q + 0*q) - q - 6 + 6) - 4*q + q**2 + 4*q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - -58 - (-24 - -42 - (-2 - -5 - -5)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 5, u: 1, y: 7, w: 1}. Give prob of sequence tw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*h + 1498 = -784*h - 692 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 5*f - 8. Let p(o) be the first derivative of 2*o**3\/3 + 11*o**2\/2 + 16*o - 4. Let m(t) = 6*p(t) + 11*u(t). Give m(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + r - 10, -t = -5*r + r + 21. Let v(x) be the second derivative of x**3\/2 + x**2\/2 - 374*x. What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -614 at most as big as -469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066301?\nAnswer: 29, 83, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/29140 and -59\/1110610.\nAnswer: 68857820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -343*c + 346*c. Let h be ((-1)\/c)\/((-36)\/(-90)). Put 0.5, 0.3, h in descending order.\nAnswer: 0.5, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2.67 (b) 0.1 (c) -11\/27 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:49 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*g - 4, 467 = -u + g. Let d = -266 - u. Let o = -141 + d. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/2 + 64863*t + 1402402923\/2 = 0 for t.\nAnswer: -21621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 40 - -48 - (-112 + 1 + -2 + 3)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g)*(1 + 0 + 1) - 2*g + 3*g - 2*g + (0 + 2 - 1)*(-1 + 2 + 2)*(0 - 4*g + 0).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-113651)\/464)\/((-1)\/(-4)))\/((-1)\/8) is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(19) + 0 + sqrt(2299)))**2.\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10352404 (base 6) to base 15\nAnswer: -61e34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (90\/(-9) - 15620\/22)*(-8)\/6 and 600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-24) - (-831525)\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100101101100101001111?\nAnswer: 100101101100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 + 11*r**2\/2 + 21*r. Let f be t(8). What is the second derivative of 3*c - 4*c - 21*c**f + 2*c wrt c?\nAnswer: -126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 94, 94, 92, 88, 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from hppmmmhsphppp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241664520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/8)\/(21\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100981095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 50 = -5*x + 13, 0 = 2*x + 4*g - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjgggjjr. Give prob of picking 2 g and 1 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/10)\/((-10)\/25). Suppose q*x - 79 = 3*x + f, -3*x - 3*f + 75 = 0. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 - p**3\/2 - 2*p**2 - 19*p. Let z be (1\/(-2))\/((-2)\/(-28)). Calculate the remainder when v(z) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12208 and 26301373?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00324589862 to 5 dps.\nAnswer: -0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, 4, 24, 62, 124, 216, 344?\n\"Answer: l**3 + l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -454*x**3\/3 + 125*x - 4. Let o(n) = -2*n**2. What is o(a(j))?\nAnswer: -1648928*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 minus 539184877203?\nAnswer: -539184877078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -289. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17426 (base 12) to base 10\nAnswer: 33438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*h + 4*p + 141, -4*p = -8. Solve -2*d - 4*j = -22, -3*j + 9 = 35*d - h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let c(s) = 1408823*s. Determine j(c(t)).\nAnswer: -4226469*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.9 + 233.1. Let u = l + -249.8. Let g(v) = -v**2 - 6*v + 11. Let k be g(-8). What is the closest to u in k, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 34*c = -370. Let z = 66 + c. Suppose -6*r = 71 - z. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let i(r) = -2*r + 4. Let c be i(u). Let a be (-16)\/42 + c\/7. Sort a, 3, 2\/13 in decreasing order.\nAnswer: 3, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*i**2 - 704*i**2 + 338*i**2 + 7 + (-2*i + 4 - 4)*(i - 6*i + 0*i).\nAnswer: -221*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q + 48. Let y = -28 + q. Is y\/(1\/(1\/(-2))) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364238730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 0*q**4 + 3*q**4 + (-3*q**2 + 3*q**2 + q**2)*(-8*q**2 + 3*q**2 - q**2))*(-9*q + q - 16*q).\nAnswer: 192*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-2)*1\/(-9). Let p be (-2)\/15*-5 - 0. What is h in 0 + p*h**2 - f*h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 0)\/((-164)\/(-2)). Let n = 1.3056 + -1.1456. Is s at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4099 = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(24\/(-15)) + (-12)\/(-3). Suppose 342 = x*k + 10*k. Solve 4*c = 4*i, 4*i - 3*c + k = -5*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/44880 and 23\/561000.\nAnswer: 1122000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) + 0\/11. Let x = 6.4 - 6. Let c = 3.6 + x. What is the closest to -0.2 in 0, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*g - 116, 21 = 4*g - 3*t - 111. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3408133 - -b?\nAnswer: -3408124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1041.105um?\nAnswer: 0.001041105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156*8\/(-108) - 8\/(-18) - 1590\/(-159).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 4\/5 (b) 0 (c) -156\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2 - -1)*111\/185?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11874 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 26*g + 8. Let p(q) = -1. Let d(s) = -4*p(s) - t(s). Calculate the remainder when 44 is divided by d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7888?\nAnswer: 1\/1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -9?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 - 1. Let n be 8\/12*(-3)\/m. What is the third derivative of 2*l**n + 17*l**6 - 13*l**6 + 9*l**2 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**2 - v + 1. Calculate the remainder when (-584)\/(-12) + (-20)\/12 is divided by r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j - j - j**4 - 2*j**4 + 0*j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let h(z) = 7*z - 34. Let x(p) = -h(p) + 6*u(p). What are the prime factors of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.28 (b) 0.1 (c) -0.2 (d) 2\/11 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 710456191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Factor -m*r**3 + 2*r**3 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(224)\/sqrt(8)*1 - (-2*sqrt(252))\/sqrt(9))*2 + 3)**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421290 is divided by 833.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let t = -7341 + 7346. What is the smallest value in t, -8, p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*n - k, 0 = -k - 8219 + 8201 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 6. Let p(c) = -c**3 + 4*c**2 + 6*c - 3. Let a be p(t). Let d = -2 + a. Solve d = -0*j - j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251763 or 251762?\nAnswer: 251762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432 a factor of 385340162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.4. Let a = s - -0.7. Suppose 3*n - 27 = -42. Sort n, 3, a in decreasing order.\nAnswer: 3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x - 2*x**5 - x**4 - 16*x + x**5 + x**3 - 4*x**5 - 9*x**5 + 3*x**5 + (0 - x + 0)*(-2*x**4 + 2*x**4 + x**4).\nAnswer: -12*x**5 - x**4 + x**3 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 28. Suppose y - 16 + k = 0. Are -1\/2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Suppose -5*x + 18 = 3*s, -s + 2*x - 12 = -3*s. Let v be a(s). What are the prime factors of ((-52)\/(-12) + -1)\/(v\/126)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d - 12 = 0. Let o(z) = 4*z + 8. List the prime factors of o(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44456, 47450, 50442, 53432, 56420?\n\"Answer: -a**2 + 2997*a + 41460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15*2\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g*g*g**1)\/(g*g**(2\/3))**(3\/4))**(4\/23) assuming g is positive.\nAnswer: g**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 plus -9.53?\nAnswer: 25.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 - -230. Suppose 5*s - 121 = -4*r + 545, -y*s - 686 = -4*r. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*q - 9*q. Differentiate v**2 + 29 - 57*v**q - 3*v**2 + 33 - 5 with respect to v.\nAnswer: -171*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (9 + (-61)\/1). Calculate the greatest common factor of 1352 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 5 (c) -8 (d) 887\/7 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -453 + 2*c - 64*c**2 - 2*c**2 + 23*c**2 - 55*c**2 - 123*c**2 wrt c?\nAnswer: -442*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 3. Let c = 11 + -15. Let l be q(c). What is i in 0*i - 2\/5*i**2 + 0 + 2\/5*i**4 - 2\/5*i**l + 2\/5*i**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - x - 2. Suppose 5*r = g - 0*r - 24, -4*g + 3*r = -28. Suppose 2*y - g*y + 6 = 0. Let w be (-24)\/(-18) - (-2)\/y. Determine h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/18)\/x**(-2\/47) assuming x is positive.\nAnswer: x**(83\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/345, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 427.6412l?\nAnswer: 427641.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 5*r + 1. Let d be s(5). Let g be 33 + d + 0 - (-51)\/(-17). Let u = -8 + g. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 + 1573*s - 7704. Calculate z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -227\/32240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(41 + 19 + 32)*(-4 + 4 - 2*i) - 3 + 3 - i + (-2 + 5 - 2)*(-4*i + 5*i + i) to the form g + r*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:44 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 + 4*w**2 - 6*w. Let p(a) = a**3 + 2*a**2 - 3*a. Calculate -4*k(z) + 9*p(z).\nAnswer: -3*z**3 + 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1742648699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) 1 (c) 1.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292354*r**2 - 2518 with respect to r.\nAnswer: -584708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 5, -0.2, 2\/17, 0.1, -1\/993?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 53, 103, 163, 227?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/238350 and 133\/150.\nAnswer: 238350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*i**3 - 4*d**2*i - 2*d*i**4 + d*i**3 - 2*i wrt i.\nAnswer: -42*d**2*i - 24*d*i**2 + 6*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 16 + -11 - (2 + 4 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(4*sqrt(60)\/sqrt(6)))**2 - ((-5*sqrt(11)*-1)**2 + 0 + sqrt(11) + -2))*6.\nAnswer: -13071\/8 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 11. What is the biggest value in 0.5, k, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:58 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-112*n - 112*n + 204*n)*(-n**2 - 2*n**3 + n**2) + (12*n - 92 + 92)*(3*n**3 + n**3 + 0*n**3) as j*n + s*n**4 + x + c*n**3 + y*n**2 and give s.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2495*d - 2497*d + 35*d**3 + 4*d**2 to a + f*d**3 + z*d + h*d**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 + 253. What is the nearest to 0.1 in w, 0.01, 4\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.1 (b) -11 (c) 3 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*w = 292*w - 79056 + 18906 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*h, 0 = s + s - 5*h. Suppose 4*k - 116 - 24 = s. What is k rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 6*l + 3. Let c = 1 + -7. Let i be r(c). Suppose -i*j = 12 - 51. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + -22. Is q > -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 1) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.35 (b) -3 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 517712 or 517703?\nAnswer: 517712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - 3) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13735, 12810, 11885, 10960, 10035?\n\"Answer: -925*v + 14660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y + 5*w + 17 = 0, -4*w - 19 = -3*y. Put 3, 4, y, -1, 21 in decreasing order.\nAnswer: 21, 4, 3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 43. Let c(i) be the first derivative of -i**3\/3 + 332. Give c(q(f)).\nAnswer: -64*f**4 + 688*f**2 - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-12 + (-9)\/(-3)). Suppose -2*d = -5*d, y - 3 = k*d. Suppose -y*h = n - 216, -h - 624 = -3*n - 4*h. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 44, 90, 174, 308, 504?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1053594 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 12313023?\nAnswer: 12313100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)\/(v*v\/v**39)*(v*v\/v**(-39))**(-1\/6))**30 assuming v is positive.\nAnswer: v**(6355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:37 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -341694144692?\nAnswer: -341694144692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:15 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -705, -1053, -1385, -1701?\nAnswer: -2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 29 - 17 = 0. Let v be 6\/(-4) - -2 - (-15)\/h. Suppose v + 293 = 2*k. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, y: 1, k: 1, c: 1}. What is prob of picking 1 j and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 106.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/130361882 and -67\/12615666.\nAnswer: 391085646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, -6590, -0.22, -5, 4?\nAnswer: -6590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 4. Calculate g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = 2*u - 3, -5*p = u - 5. Let x = 4 + u. What is the remainder when 11 is divided by x\/6*3 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14509.7 and 0.21.\nAnswer: 14509.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*y - 19649 = 55515 - 1636 for y.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*v - 6*v. Let w be (45\/v)\/(-3) - -3. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-1)*(-6)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m**2. Let c(r) = -3 + 0 - 11*r - 2 + 1. Let y(d) = 57*d + 21. Let g(n) = -21*c(n) - 4*y(n). Determine j(g(l)).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/9*j**2 - 4\/9 - 50\/9*j + 8\/3*j**3.\nAnswer: 2*(j - 2)*(j + 1)*(12*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c + 6. Let s(y) be the third derivative of -1\/6*y**4 + 2*y**2 + 0 + 0*y - 5\/6*y**3. Let f be (9*(-10)\/75)\/((-2)\/(-10)). Calculate f*h(i) - 7*s(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*p + 24, -2*s - 3 = 3*p - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 958*u**4 + 10*u**2 - 4 wrt u.\nAnswer: 22992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 3*v**4 - v**4 + (-5*v**3 + 4*v**3 + 2*v**3)*(0*v + v - 2*v) + 3*v**4 + 3 - 3 + 3*v**2 - 2*v**4 + 0*v**4 + 0*v**2.\nAnswer: -v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 37.1 (b) -0.5 (c) -1 (d) 2 (e) 0.08 (f) -0.4 (g) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/2 - 1036*s - 202807\/2 = 0 for s.\nAnswer: -1969, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 24.1. Suppose 3*n - 2*n = -1. Let x be (-3 - n)\/(3 - -4). Which is the smallest value? (a) k (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/4 - 1*8. Suppose -2*q - 2*c = -2, 2*q + 3 = 2*c + 1. What is the units digit of (q - -20) + 6 + w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let o = 85 + -85. Suppose o = 10*f - 8*f - 4. What is g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -177292802, -177292805, -177292808, -177292811?\n\"Answer: -3*o - 177292799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syt when three letters picked without replacement from {t: 1, y: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 9*f + 9. Suppose 3*o + 26 = 2*x, 5*o = 2*x - 7 - 23. Let k be t(x). Sort 5, -2, k in decreasing order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 19, 2, 333828 in descending order.\nAnswer: 333828, 19, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 31 = 5. Let q(g) = g**3 - 11*g**2 - 13*g + 10. Let h be q(j). Is 19 a factor of ((-64)\/12)\/(h*(-3)\/(-171))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*z**2 + 517*z**2 - 834*z**2.\nAnswer: -999*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:51 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8856 in -3, -0.1, -1\/5, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17397508 less than or equal to 17397509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (0 - -1)*70. Let b be (-3232)\/(-33) + 1448\/23892. What is the highest common factor of g and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -155.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500*8.5.\nAnswer: -4250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*q + 2137 + 2620 = 963 - 2441 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116840 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/121*528\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 443592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16c60 (base 14) to base 2\nAnswer: -1101111111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102310 (base 4) to base 8.\nAnswer: -62264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1016018 from -291.\nAnswer: -290.8983982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by -92\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/40 - v**4\/2 + 19*v**2. Determine k, given that u(k) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1781*b**3*g**2*r + 16370*b**3*g**2 + 41*b*g**2 - 11*b*g*r - 5*b*r + b - 197*g*r wrt b.\nAnswer: -10686*b*g**2*r + 98220*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 563 - 558. Suppose -2*w + 2*k - 3*k + 17 = 0, -3*w = u*k - 29. Solve -6*q = -4*q + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 20*o + 227. Let r be a(8). Let d(g) be the second derivative of 1\/30*g**4 + 2\/5*g**2 + g + 1\/5*g**r + 0. Suppose d(q) = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4805 and -45\/868.\nAnswer: 134540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*(r**(-12)\/r)\/r*r)\/(r**(-5)\/r*r**(-14)) assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 18 = -7*a, -3*v = -a + 2*v - 56 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3*j - 1)*(0*j**2 - 4*j**2 + 6*j**2) + 0*j**3 + 0*j**3 - 3*j**3 + (258*j**2 + 5797 - 5797)*(2*j - j + j))*(-1 + 0*j**2 + 3*j**2 - j**2).\nAnswer: 1014*j**5 - 507*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssz when three letters picked without replacement from szzddzdddsz.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 124, 144, 170, 202?\n\"Answer: 3*h**2 + 11*h + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-3*3 + -3*(sqrt(76) + sqrt(76)*2))\/(((sqrt(900) - (sqrt(900) - (sqrt(900)*-2 - sqrt(900)))) + sqrt(900))\/(sqrt(144)*-6))*-4)**2.\nAnswer: 14183424\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(4*(sqrt(84) - (sqrt(84) - 2*sqrt(84))))\/sqrt(4))\/(-2*(sqrt(175)*2 + sqrt(56)\/sqrt(128))).\nAnswer: 16*sqrt(3)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*27*(5\/(-100) - 46\/(23000\/75))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43899485?\nAnswer: 5, 7, 547, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39510*d**4 + 430*d wrt d.\nAnswer: 474120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:12 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldillliielde. Give prob of sequence dl.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2279, 4504, 6729?\n\"Answer: 2225*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 g, and 1 i when four letters picked without replacement from lvgiygiyykll?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10132538 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 19. Let c(z) = z. Let g be c(l). Suppose 0 = 3*w - g*w + 15. Solve -q - w = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 189. Suppose q = 4*p - 3. Solve 5*j - 5*m = -0*j - 30, -3*m + 14 = -p*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/30 + 902*l**3\/15 - 903*l**2\/5 + 2*l + 1439. Find a such that j(a) = 0.\nAnswer: -903, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -177.9, 0.\nAnswer: -177.9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 572 = 4*l, 2*l - 289 = -22*w + 23*w. Solve 0 = l*r - 147*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -97, 2, 5, -2\/2435?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 37 = -3*x, -2*b + 5*x = -34 - 1. Suppose u - 5*a = -4*u + 175, -2*a = u - b. Solve -u = -2*y + 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 - 830*z + 32. Give i(34).\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 7\/((-14)\/176). Let o = g - -80. Let z(k) = -5*k**2 - 6*k + 2. Let n(a) = 4*a**2 + 6*a - 1. Let r(u) = -3*n(u) - 2*z(u). Give r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*o - 32, 195*x = 99*x + 98*x - 17*o - 43 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59519.77 litres?\nAnswer: 59519770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*a + 2*a + 77, 5*a + 20 = w. Suppose k - 6*k = -3*g + w, -3*k + 5*g = 25. Is k <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + (7301\/(-28) - 5). Let j = -250 - h. Solve 3*b - j = -4*z, b - 5*z = 3*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -63 - 15. Let x(h) = -h**3 - h**2 - h. Let v(z) = 5*z**3 + 8*z**2 + 6*z - 2. Calculate f*x(a) + v(a).\nAnswer: -a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16524805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/4, -5, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -149.7. Let g = q - 53. Which is the third smallest value? (a) g (b) 8 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 358821368 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179486.\nAnswer: 2, 3, 7, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -3398, -11305, -26652, -51917, -89578, -142113, -212000?\nAnswer: -301717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 53467\/11399 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7911 - -7908. What is the biggest value in b, 10, -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201765358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071013 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let u = -898\/555 - -2\/111. Sort f, -0.4, u in descending order.\nAnswer: -0.4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*p - 177*p**3 - 163*p**3 + 114*p**3 + 0 + 0.\nAnswer: -226*p**3 - 136*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4, -7, -134652 in ascending order.\nAnswer: -134652, -7, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -3*n. Solve -2*p - n = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108757 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 58 + 37 = z, -4*z - 20 = 0. Suppose -5*g + 14 = -2*u, -2*u = -5*u - 4*g + h. What is the units digit of (u\/2)\/((-8)\/(-128))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - (-2152)\/36. Suppose -4*v = -5*v + f. Let u = v + -33. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 7*i**2 + 0 + 0. Let d(a) = 9*a + 2*a - 14*a. Calculate m(d(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + (sqrt(960) - -2*sqrt(960)) - sqrt(120)\/(-3*sqrt(8)))\/(sqrt(243)*-1*-6 - (sqrt(243) - (1*-2*sqrt(243) - sqrt(243)))).\nAnswer: 97*sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32577748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20aa - 6557?\nAnswer: -4469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6357.\nAnswer: -635.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151.36 - -148. Let x = 3.1 + h. Let w = x + 0.234. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 45 + 35. What is the greatest common factor of 60 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l - 386. Let r be x(-32). Let i(y) = -8*y - 13. Give i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 2. Let b be k(0). Suppose p - 16 = j, -2*p - b*j = 3*j - 18. Sort -2, -5, p in decreasing order.\nAnswer: p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - (3 - 12) - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73054 is divided by 7304.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2900, -11599, -26096, -46391?\n\"Answer: -2899*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184.534 + -187.4. Let d = 0.084 - v. Let w = d - -0.05. Put w, -0.3, -2\/13 in increasing order.\nAnswer: -0.3, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8614 divided by -123?\nAnswer: -8614\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4022093585.\nAnswer: 5, 241, 3337837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 - 3*u. Let c be p(2). Suppose 2*j - 162 = -5*y, c*j + y - 451 = j. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8977 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-921)\/12*(-23 - -27). Let h = 373 + j. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-8))\/1*(0 - -16). Let d be 1\/(-2) - ((-780)\/n)\/(-13). Suppose 0 = 7*j - 6 + 76. Do d and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1)**2 - (sqrt(7) - (-1*sqrt(56))\/sqrt(8))**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 3*m)*(2*m**2 + 13*m + 14*m**2 - 10*m).\nAnswer: 48*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 9. Let l = -10 + 15. Suppose 4*d - k - 66 = -2*k, l*k - 58 = -3*d. Calculate the remainder when d is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 - 25796)*3\/(-6). Let y = s + -231877\/18. What is the common denominator of ((-3)\/12)\/(5\/(-73)) and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2144*g**3 + g + 2168*g**3 + 0*g)*((-4 + 3 + 0)*(-5 + 1 + 3) - 1 - 1 + 1 + 4 + 1 - 3) to f*g + m*g**2 + c*g**3 + k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/91567 and -46\/63?\nAnswer: 824103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10379369 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9) + 3)*18\/12. Let l(f) = -6*f - 9. Let s be l(m). Let x = -20 - s. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7091 (base 15) in base 8?\nAnswer: -56321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -152*f**5 + 5654*f**4 - 55828*f**3 + 59974*f**2 - 9000*f - 648 = 0.\nAnswer: -1\/19, 1\/4, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = 0, 0*j = 2*t + j - 5. Solve -n - t*g = n - 6, -g - 12 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-77)\/(-7)*61 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213188735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -11) + -8 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*x + 2489 = -2424 - 633 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -49*d - 6*d**2 - 3 + 16*d**2 + 49*d. Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -15. Suppose -4*n - 8 = 2*y, 4*y + q*n = -6 - 10. Which is the closest to 0.1? (a) y (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 206424 + 1008?\nAnswer: 207433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 564839879 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, l: 2}. What is prob of picking 2 e and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1484*m**3 - 20*m**2 - 48*m + 22. Let y(j) = -743*j**3 + 11*j**2 + 26*j - 12. Determine 6*s(h) + 11*y(h).\nAnswer: 731*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 125. Let g(m) = 2*m - 271. Let p(u) = 2*g(u) - 5*k(u). Calculate p(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2732 + -2804. Is q at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.667615 and 5.\nAnswer: -3.338075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5 + (1 - 38 - 54)*(5 - 2 - 5))*(2*g + 0*g + 2*g).\nAnswer: 732*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -78, -233, -530, -1017, -1742?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qppppppqp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8642967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/((y*y**17)\/y))*y*y*y)\/y*y**(-1\/6)\/y)\/(y*y\/(y\/y**(2\/11)))**(-42) assuming y is positive.\nAnswer: y**(4519\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 348\/3 + 1*-4. Let z be -2 + (-5)\/20 + j\/24. Factor 8\/3*f - z - 2\/3*f**2.\nAnswer: -2*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -32*c**5\/5 + 1276*c**4\/5 - 2036*c**3 + 21392*c**2\/5 - 2352*c = 0?\nAnswer: 0, 7\/8, 2, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-21))\/(3\/(-2)). Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = -5*n + 9, 3 = q - 5*n. Solve 0 = 6*b - q*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1932 = 435*g - 678 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22534*c**5 - 23230*c?\nAnswer: -450680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -a4?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/12 - 2*v**2. Let i(m) = 25*m + 85. Let s(n) = 134*n + 424. Let r(u) = 16*i(u) - 3*s(u). Give r(j(z)).\nAnswer: 4*z + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2 - 59*b + 8. What is y(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143560 by -2.\nAnswer: -71780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(153) + 0 - sqrt(153)) + -1 + -1 + sqrt(153))**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4419*i - 22001. Calculate o(-5).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/24 + s**3\/12 - s**2\/2 - 3*s. What is m in r(m) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668143 and 16709?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75040000 to the nearest one million.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*v + 426*v + 119*v - 180*v.\nAnswer: 701*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 999182709 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 2. What is the first derivative of o**u + 3*o**4 - 6*o**4 + 2 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 44716*l - 44720*l - 41, -2*l = n + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 45*j**2 - 3*j. Let u(w) = -2*w - 56. Let z(a) = -3*a - 70. Let l(b) = 5*u(b) - 4*z(b). Calculate l(t(i)).\nAnswer: 90*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/750 and 47\/3775.\nAnswer: 113250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71.5099 from -86.5276.\nAnswer: -158.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from ddddhdddh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6817 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45033509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.1. Let y be (-5)\/(-2)*4\/25. Which is greater: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t + 6 - 13 - t**3 + 137*t**2 + 10 + 9*t**4 - 136*t**2 in the form h*t**3 + i*t**2 + w + a*t**4 + y*t and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/55 + (-28)\/154. What is the third smallest value in -1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14819)\/1421 - 3\/(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2344 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:16 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*d - 24 = 402*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8032*-4.\nAnswer: 23.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 43. Let j be (-18062)\/k + (-1)\/(-2). Let a = 614 + j. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41 - -36) + 63\/1. Solve -3*n = f - 52 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213634, 426999, 640362, 853723, 1067082?\nAnswer: 1280439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-50)\/(-12) + 3)\/((-20)\/6) and -73\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6102.8 + -0.001457.\nAnswer: -6102.801457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - 46\/(-3). Let w = 2498 + -2483. Calculate the greatest common factor of w and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4 and 41\/100813710.\nAnswer: 201627420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 5*i + 86. Let s(f) = -7*f**2 - 5*f + 104. Let x(k) = 6*g(k) - 5*s(k). Suppose 5*o + 4 = 4*o - 3*w, -3*o - 12 = -2*w. Calculate x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 995, 2060, 3123, 4184, 5243, 6300?\nAnswer: 7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let u(o) = -7671*o**2. Give s(u(z)).\nAnswer: 15342*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831 + 87 = -6*m. Suppose -q + 0*q + m = 0. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/30 - 60*x**2. Let m(o) = -14*o + 2. What is i(m(w))?\nAnswer: 392*w**2 - 112*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2995 - -3059. What is the greatest common divisor of n and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -68.436. Let k = v - -0.196. Round k to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-3 + sqrt(242) + (sqrt(242)*-2 - sqrt(242)) + sqrt(242) + sqrt(242) + 5)*-2)**2)*-4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 148, 215, 278, 337, 392?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 2. Let u(c) = 161*c**2 - 3*c + 7. Give -u(t) + 3*z(t).\nAnswer: -164*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 9*h. Let u(v) = -4*v. What is u(q(r))?\nAnswer: -4*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.419.\nAnswer: 2.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 95 = -441. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/120 - 221*q**5\/5 + 97682*q**4 - 345403552*q**3\/3 - 100*q**2 - 2*q + 3. Let d(o) = 0. Calculate o.\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6596 - 541 = -3*c. Is c a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, w: 2, v: 1}. What is prob of picking 2 w and 1 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 9*w**2 + 8*w + 2. Let n be k(-8). Let j = 1525\/21 + -443\/6. What is the common denominator of 7\/(-6) - n - 2 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/3 - 10802*v**4\/3 - 4888682*v**3 - 217395118*v**2\/3 + 232071968*v\/3 = 0. What is v?\nAnswer: -2693, -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose x*z = -3*z + 15. Suppose -5*f + 3*h + 60 = 0, 4*f = h - z*h + 26. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-14 - (1 + -7)) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owosswwooowuwsww. Give prob of picking 1 u and 3 s.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73829 take away -0.2?\nAnswer: 73829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98245, -98200, -98127, -98020, -97873, -97680, -97435?\n\"Answer: i**3 + 8*i**2 + 14*i - 98268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:23 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 77\/485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10432113431 + 5?\nAnswer: 10432113440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65863)\/1358*16\/(-2328).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.92 in 0.1, -5\/6, 0, 4, 27, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 2832?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 38 = -5*j. Suppose -j*q - 44 = -21*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 1) - 0 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 >= 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15586340 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 17937409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -37303 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2, -0.078, -11\/83?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3*(-4 - -2 - -31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 896, 7, 15691?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 2244382*v\/11 + 4488756\/11.\nAnswer: 2*(v - 1122189)*(v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2048 = 8*u + 760. Let j = u + 676. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101110100111010000 (base 2) in base 10?\nAnswer: 715216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 2) - (7 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4. Let l be 118\/14 - 52\/(-91). Suppose a + l = 12. Determine b(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 + 133.27. Is d bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -1 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 9892647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4 (base 14) to base 4.\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -14. Calculate the remainder when 101 is divided by (-312)\/(-6)*j\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let z be b(2). Let p(o) = -o**2 + 8*o - 12. Let u be p(5). Suppose -2*x + u = z. What is the closest to x in 0, 0.2, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.958 + -0.042. Let p be 2\/2 - -6 - 0. Let z be -2 + -1 + 23\/p. What is the closest to -0.2 in z, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 119061?\nAnswer: 119061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 9\/7 (c) 2 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-30) - -2)\/(4\/2810). Suppose -58 = 3*l - b. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 14*y + 33. Let o be p(-12). Suppose 0 = t + 4*a - 36, o*a = -2*t + 6*a + 72. Let q = 104 - t. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Find the third derivative of -4*a**i + 6*a**2 + 0*a**2 - a**4 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53124510 (base 6) in base 3?\nAnswer: 2220210122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 4*r - 3. Let v be c(1). Suppose v = -17*n + 15*n + 20. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 326694\/69113 - -2\/6283. Find the common denominator of -21\/17 and y.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*y - 57. Suppose -v - y*c = 3*v - 16, 5*v - 20 = c. Sort v, 3, 5, -2 in descending order.\nAnswer: 5, v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304557526 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7946873?\nAnswer: 11, 43, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egeegggg. What is prob of sequence gge?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5560*m**2. Let p(q) = 3*q. Give p(x(z)).\nAnswer: -16680*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 + 4*z - 1. Let s be n(4). Let c(q) = q - 5. Let j be c(11). Solve f - s = j*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - (3 - 1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 242, 807, 1898, 3689?\nAnswer: 6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2447 - 1219 = -473*b + 9742. Is 124 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130.455 times -4\nAnswer: 521.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-20))\/(-1))\/(8\/(-60))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 20664?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-8\/5)*y)\/y)\/y)\/(y\/(y\/(y\/y**12*y*y*y)))*((y*y**(2\/21))\/y)**(24\/11) assuming y is positive.\nAnswer: y**(2544\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to -9.75332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/449 in -58, -148, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - g = -27, -y - 2*g = -0*g + 18. Let b be 42\/y*(-16)\/6. Suppose c - 7 = n, -c + b = 3*c + 3*n. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dc (base 15) to base 14\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2790*m - 2791*m - 8 = d, 0 = 4*m - 4*d + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -79. Suppose t = 3*c - 15, t + r = 5*c + 4*t. Is (c\/(-3))\/(-2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 2*h - 3*h**2 + 263 - 323097*h**3 + 323095*h**3 to the form n + f*h + c*h**2 + j*h**3 and give n.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -524428, -1\/9, 2 in descending order.\nAnswer: 2, -1\/9, -3, -524428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 45*p = -65*p - 161*p + 2686 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-15) - 3)\/(12\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -28*x - 1656. Let g be t(-59). Which is the second smallest value? (a) g (b) 0.1 (c) 2\/23 (d) 10 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 11, w: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/24 + 0 + -3. Let q(a) be the first derivative of -a**4\/4 - a**3 + 5*a**2\/2 + a - 1. Let s be q(-4). What is the nearest to 1\/6 in s, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 58.58685s?\nAnswer: 0.016274125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 26. Let t be s(11). What is the common denominator of (50\/t*1)\/(-4) and -115\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (-1 + -1 - 17).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2736 and 49\/2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 3 + -1 + -2 + 25\/((-250)\/(-380))?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k**2 + 2*k - 1. Let s be h(1). Let y be 28\/s*1\/(-5). Let f = -0.02 - 0.38. Which is the nearest to y? (a) f (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 10*q**2 - 9*q + 8. Let c be u(-9). Suppose 2 = 2*s - c. Let x = 15 - s. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 + 394*n**4 + 6877*n**3 + 41236*n**2 + 94948*n + 73696 = 0.\nAnswer: -376, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (157\/(556094\/805))\/(5\/8*1).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5 and (-4)\/18 + (-1178)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 4049a56?\nAnswer: 4049a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12)\/((-8)\/(-24))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let q be n(2). Suppose 5*u + 262 = 2*d + 22, -q*u = -4*d + 456. Calculate the greatest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 2, a: 1, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 576. Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5442215 (base 7) to base 8.\nAnswer: 2424421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -498324 >= -498318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(-5 + (sqrt(162) - sqrt(162)*3*3)))**2*3.\nAnswer: 69984*sqrt(2) + 1121931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 13.\nAnswer: 252\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16133057\/36 or 448140?\nAnswer: 448140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27*p**2 + 22*p - 5. Let q = 108 + -102. Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*d**2 - 212*d**2 + 83*d**3 + 510*d**2 + 112*d**3 - 153*d**2.\nAnswer: 195*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.68 + -1.68. Suppose -17*c - 15 = -20*c. What is the second smallest value in -2.8, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*p + 26, -n + p + 18 = 2*n. Suppose -n*j + 0*j + 20 = 0. Let c = 286 + -284. Solve 0 = -c*y + j*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2352562*d*s - 55*d + 8718 wrt s?\nAnswer: -2352562*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-7))\/((-6480)\/2155 + 3). Are m and 431 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from jujjjjjjjjjjjjjjjjjj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.6, -5, -72, 19\/7, 4, 13\/5, -0.5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 33 = -4*c + 11, -5*f = 4*c + 31 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 24. Suppose -l = 3*l - 16. Solve -o - w + l = -u, 4*u = 2*o - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 2333, 3481?\nAnswer: 4629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2883*r*u*w**3 + 2*r*u*w**2 - 7*r*u*w - 9*r*u - 821*r*w**3 - 402*r*w**2 + 2*w**3 + 10*w**2 wrt w.\nAnswer: -17298*r*u - 4926*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 at least -290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802\/6 - (-13 + 222\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 1 - 10*o**2 - 12*o**4 + 10*o**4 + 4*o**2 + 0 to q*o**4 + r*o**3 + z*o + d + i*o**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {h: 1, f: 10, k: 2, b: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-420)\/120)\/(-1 + 39342\/9836 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65163982 divided by -82174\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**3 + (0*b**2 - b**2 - 2*b**2)*(2 - 2 + b))*(-972*b + 104*b + 12*b).\nAnswer: 856*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -469, -623, -743, -823?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -525899760 less than 6.753?\nAnswer: 525899766.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/864)\/((-1)\/10).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259436421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j - 315. Let r = 15 - 11. Suppose -5*t + 3*q + 29 = 0, 3*t - 7 = -r*q + 22. Calculate the greatest common divisor of j and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248412 is divided by 124093.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:22 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -74296*g**2 - 65120. Let a(w) = 1351*w**2 + 1184. Let q(d) = -111*a(d) - 2*i(d). Differentiate q(o) wrt o.\nAnswer: -2738*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46\/5 of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.604958 to two decimal places.\nAnswer: 75.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.47183 plus -0.0334927?\nAnswer: 3.4383373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + d**2 - d**3 + 15*d - 8*d + 4. Determine g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 29*o - 207. Determine s(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from {v: 3, w: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-10) - 3 - 7. Let x(k) = -4*k + 9. Give x(r).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 5, e: 1, f: 2, a: 1}. Give prob of sequence pbe.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. Let v(l) = 694*l - 1443*l + 374*l - 1 + 380*l. Let w(a) = -a. What is d*v(i) + 3*w(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n + 0*n + n + 4*n + 18*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216109 is divided by 912.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -32 + 21 - (10 - -3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-4 + sqrt(66) + -4*(sqrt(66) + sqrt(66) + -3*sqrt(66)))\/(5*(sqrt(726) - sqrt(726)*-6 - sqrt(726))).\nAnswer: sqrt(11)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10808 + 10809. Which is smaller: -30\/1061 or i?\nAnswer: -30\/1061","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1490 (base 14) to base 10\nAnswer: -3654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -57, -59?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4396*u - 28. Let p be g(18). Round p to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 935\/8?\nAnswer: 935\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254696221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {f: 11, e: 1, o: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 8*u - 16 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-95))\/(89\/330 - (-21 + 28365\/1342)).\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/28 - 3\/(-4). Let f = 3971\/2 - 1986. Let z = 0.07 + -3.07. Which is the third biggest value? (a) w (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3147 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1751 - 4.1751. What is the second smallest value in -0.4, -2\/4231, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 4*r = 56 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 - 277. Let x = m - -50.8. Let z = -56 + 18. Is z not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - h**2 - 3*h**2 + 2*h**2 + 4*h**2 + 0*h**2 + 0*h**2 + h**2 + h**2 + (-2*h + 0*h + h)*(h - 3*h + 0*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 115 = -u. Calculate the highest common divisor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -126 - 1*(-12)\/(-9)*3. Let j = -129 - a. What is the closest to 2\/3 in -47, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 - 6 + 15 - 46713*g.\nAnswer: -46713*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3826642 is divided by 1913202.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -82, -110, -150?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-6))\/(z*z\/(z*z**5)*z*z))**(-1\/21))**(-2\/29))**(1\/16) assuming z is positive.\nAnswer: z**(3\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.01\nAnswer: 0.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1505 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 61. Let u(q) = 2*q**3 - 8*q**2 + 2*q - 3. Let n be u(l). Calculate the highest common divisor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99) - sqrt(99))\/sqrt(9) + 4 + sqrt(176).\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 89.71. What is c rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 22, 49, 108, 211, 370, 597, 904?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -8. Calculate the remainder when 15 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7643861\/72 + -106163. What is the common denominator of f and 71\/66?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8270*x**2 - 2965*x + 122078162 wrt x?\nAnswer: -16540*x - 2965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -70, 23 in descending order.\nAnswer: 23, 1, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -2\/13, 1\/6, -0.05802?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1\/2, -12, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + 31. Let a = l - -7. Suppose -3*c - 2*z = -a, 5*z = -5*c + z + 120. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*n**4 - 17978*n**2 - 35508*n - 102 wrt n?\nAnswer: -1188*n**2 - 35956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -65*q**3 + q**2. What is the tens digit of b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18*y - 14*y + 124 = 0, -4*w + 5*y = -263. Let b(k) = k**2 - 9*k - 8. Let f be b(7). Let r = w + f. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 99. Let s be -71 + (1 - k) + 2. What is the units digit of ((-1)\/(-4) + -1)*s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Let r = 0 - 0.2. Let t = 6.12 - 0.12. Which is the third biggest value? (a) t (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7*p - 21. Suppose -247 = -2*j + p*j - 3*q, -3*q - 223 = 5*j. Let m = j + 42. Sort 2, -2, m in increasing order.\nAnswer: m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**3 + 2*y**2 + 6*y - 4. Suppose -b + 6 = 9. Let a be t(b). Which is smaller: 157 or a?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 1, 24, -99 in descending order.\nAnswer: 24, 11, 5, 1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 - 48*x\/7 = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h + 2*h)*(0 - 2*h + 0)*(-1 + 1 - 4)*(4 - 1 - 5)*(59*h - 109*h + 52*h + 46).\nAnswer: -32*h**3 - 736*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j**2 + 8*j + 4. Let t(y) = -77*y**2 - 39*y - 19. Let k(s) = 29*q(s) + 6*t(s). Determine k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247 and 3120?\nAnswer: 59280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(-10) - 4\/20. Let j(k) = 37*k**2 - k. Let s be j(-1). Let i = n + s. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -1 - -2 - (1 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 865979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/27 (b) -1.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7030465 times -3.4?\nAnswer: -23903581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.104757 or -1?\nAnswer: -0.104757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 9. Let r(o) = 6*o**2 + 17. Determine 7*b(a) - 4*r(a).\nAnswer: -3*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 665 - t**2 - 665. Let z(j) = -j**3 + 3*j**2 + 2. Give 2*d(b) + z(b).\nAnswer: -b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 141*q**2 + 1246*q - 1122. Determine y(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 12297*m**2 - 197328*m - 790080.\nAnswer: 3*(m - 4115)*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33425631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*m**3*s**2 - 1699*m**3 + 6*m**2*s + 2*m - 6*s**2 - 9837*s + 1 wrt m.\nAnswer: -822*m*s**2 - 10194*m + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*x**2 + 0 - 1\/2*x**3 - 2*x.\nAnswer: -x*(x + 1)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q - 88*q = 5*o - 2246741, -4*q = -o + 449335. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 54445051*l + 7*l**3 - 108890116*l + 54445065*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*b - 65 = 0, -3*m + 95 = 2*b - b. What is the hundreds digit of (1074\/10)\/(69\/m - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 115, -1\/11, -1\/2, -1, -62 in decreasing order.\nAnswer: 115, -1\/11, -1\/2, -1, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77725, -155445, -233165, -310885, -388605?\nAnswer: -466325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2\/(-2) + 2. Let f be ((-3)\/(-4))\/((-12)\/(-80)). Solve h + f + z = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/9 - 1124*x**3\/3 + 61376*x**2\/3 - 2555840*x\/9 = 0. What is x?\nAnswer: 0, 28, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 - -3.73. Let l = 0.116 + 2.884. Which is the second biggest value? (a) -0.36 (b) 1 (c) l (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180891345 - -180891464.0000051. Let c = -185 + 66. Let o = c + k. What is o rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2156 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276362300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 4*j. Suppose -3*r + j*l - 191 = 0, 3*l = 2*r + 55 + 69. Let q = 110 + r. Calculate the greatest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -537 - -543. Suppose 0 = 5*j, 0 = s + q*j - 9*j - 11. Let c(a) = -4*a**2 + 2*a - 8. Let x(k) = 7*k**2 - 4*k + 15. Determine s*c(r) + 6*x(r).\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1414 and -71\/20.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 10 - 10 - 64 + 64 - 3*w**5 + (4*w + 4*w - 6*w)*(3*w - 3*w + 2*w**4).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835 + 835 + 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 1898\/219)*(-1)\/((-5)\/21)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/111*33\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 3*a + a - 49 + a.\nAnswer: -3*a - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 2*h**2 - 2*h**2 + 0*h + 0*h + 8*h**2 + (0 + 0 + h)*(-2 + 2 - 5*h) + (3*h - h - 3*h)*(2*h - h - 2*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 3*b - 4*b**3 - 243 + 244 - 3*b. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 194192253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 23 = -5*r, 0 = 4*r + 1 + 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*l**3 - l - 153 + 70 + 95 as g*l + b + d*l**3 + h*l**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5*z + 3 + (0 + 2 - 1)*(3*z + 0*z - 4*z) - 4*z - 2*z + 5*z)*(4 - 3*z**2 - 4) in the form l*z**3 + v + d*z**2 + f*z and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 27 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -21 (c) -1\/5 (d) -4 (e) 0.339 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 379644 divided by -126548?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1091, 2184, 3277?\nAnswer: 4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/11 + 42\/11. Calculate the smallest common multiple of (3 - 2)\/(r\/44) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71215662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-6) - 14\/(-21). Suppose 5*u - c*a - 57 = 0, -2*u = 5*a - 1 + 3. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 8797.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30550, -31538, -32526, -33514?\nAnswer: -34502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-12 - -7) - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 2}. What is prob of picking 3 u and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5312\/1245)\/((-20)\/(-25)))\/(10\/5)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -2 (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:59 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1793*p + 1. Let o be w(-4). Let y = 14920597\/2178 + 38211\/121. Let u = o + y. What is the common denominator of -119\/12 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9807 or 9796?\nAnswer: 9807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*u - 927 = -5*j, 5*j = -u + 1545. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.0528 + 0.0528. Suppose 0 = -0*j + 3*j + 3*f + 6, 2*f + 13 = -5*j. Let w be (j\/4)\/((-16)\/64). Sort d, w, 0.1, 1\/5 in descending order.\nAnswer: w, 1\/5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/14)\/((-3)\/(-2)). Let i = 0.12 - 0.02. Is c greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1056, -4, -1, 12, 3, 2.\nAnswer: -1056, -4, -1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17452\/3 - 5819. Which is the nearest to -3? (a) 0.1 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70320 divided by -2930?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/7, 1, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 3*h + 2. Let a be w(3). Find the common denominator of -6\/11 and 6 + -4 - (-6)\/a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(495)\/(sqrt(9) + 1*sqrt(9)))\/(sqrt(125) + 1*sqrt(125) + sqrt(125)))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876 a factor of 4918552284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1464968*q. Let b(z) = -29*z. What is r(b(j))?\nAnswer: 42484072*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j - 4. Let g = 8 - 9. Let b = 4 + g. Is t(b) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -13171 (c) -1 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 556 - 527. What is the third smallest value in 2\/5, q, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let v be (14\/63*3)\/((-1)\/(-3)). Let u(b) be the second derivative of 4\/3*b**3 + 0 - 5*b + 0*b**v. Give h(u(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 931895959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9133630*u**4 + 1629685*u.\nAnswer: -109603560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1773.9 + -1774. What is the third biggest value in -1\/7, 3\/7, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 - 34 = 5*c - 3*p, -3*c = -5*p - 147. What is the highest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -1\/3 (c) 13241 (d) 9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80 - 66)*(-190)\/(-7). Suppose 0 = -2*m - 8*m + b. Let u(q) = 28*q**3 + q**2 - 2*q + 3. Calculate the remainder when u(2) is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1256a - -26?\nAnswer: -12544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7222484 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295421.\nAnswer: 977, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -66, 3, 5, -2 in increasing order.\nAnswer: -66, -2, 3, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 12*i**2 + 12*i - 9. Let c be h(-11). Let k = c + 22. What is the lowest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13209 + 0.03209. What is the closest to n in -1, 0, -0.073?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**(1\/30) assuming h is positive.\nAnswer: h**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -43b0 (base 16) to base 5\nAnswer: -1023303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 350*n - 4053. Determine x(338).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140448.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 23. Let j(l) = -l**3 - 5*l**2 + 3*l - 10. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191855572 * 0.1.\nAnswer: -19185557.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 14 = 5*w + 25*u, 4*u = -16 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -1041\nAnswer: 17\/1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + 5206*x - 4*x**2 - 5309*x to c*x + a*x**2 + w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-2\/15)*t*t**(-2\/11)*t*t*t*t**(-5)\/t*t**(4\/7) assuming t is positive.\nAnswer: t**(604\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3624 and 27\/4832.\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26591129 is divided by 2154.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j - 75*j + 14*j + 10*j + 2 + 6*j.\nAnswer: -31*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 11) in base 7?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.67 + 0.33. Let j = x + -26.5. Let d = 3.7 + -0.7. Are d and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/146 in -3, -42, 53, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1412532 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 363330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*m + 1 + 452*m - 1.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 34*t + 11. Let i be f(33). Which is greater: -28 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 50. Calculate the smallest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 28 = -3*t, 1950*o - 1949*o - 24 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5637*o**2 - 5599*o**2 + 2*o**3 + 16838*o**2 - 5602*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/1*7*14\/(-196)*(-99)\/(-54).\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 + 8*a - 2. Let u be o(6). Let s = u - 10. Find the second derivative of d + 0*d**3 + 2*d + 4*d**4 + s*d**3 wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 3 + 4 - (2 - 3 - -15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 6*p + 0*p - 2 + 0*p - 7*p.\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*a**5 - 150*a**3 + a**2 - 2*a - 88308.\nAnswer: -5820*a**2 - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 times -1701?\nAnswer: -13097.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 2*c**2 + c - 16. Calculate g(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3289, -3960, -4629, -5296, -5961?\nAnswer: -6624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -47. What are the prime factors of (w - ((-228)\/(-10) + 0))*-5?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16697 by -3.\nAnswer: 16697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*v = 508 + 476. Solve 4*g - v + 7 = -5*f, -5*f + 5*g - 35 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2 + 2)*(180*s + 183*s - 363*s + 15*s**3 - 65*s**3).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-12) - (-1680)\/448. Solve 5 = -0*m + 2*m + u, n*u = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(12\/11)*(a\/(a*((a\/(a\/((a**5*a*a)\/a)*a*a))\/a)\/a))**(-36) assuming a is positive.\nAnswer: a**(804\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-74)\/(-4551))\/((-202)\/132) and -53\/2?\nAnswer: 8282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 135 = 0. Let o(g) = -36*g**2 + 1012*g - 107. Let l be o(28). Calculate the highest common divisor of l and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2033196)\/(-34) + (-20)\/(-170). Round a to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -196, -220, -258, -310, -376, -456?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(((-215460)\/(-456))\/(-189))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 3. Let z = d + -0.1. Let v = 63481 + -63480. Which is the closest to z? (a) 0.2 (b) v (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from vylyedi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3645969 or 3645981?\nAnswer: 3645969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32 - 30 + 9 + 5*h - 3 wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32824cd - 3?\nAnswer: -32824d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 9*a + 10. Let f be h(-8). Suppose -3*x - f = -4*x. Let i = x + 2. Calculate the greatest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27*l + 15. Let u(o) be the first derivative of 3 + 4*o - 7\/2*o**2. Let w(c) = -4*f(c) + 15*u(c). Let n(v) = -3*v. What is w(n(y))?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217875302 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j**2 - 24*j - 55. Calculate the remainder when i(-2) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1299\nAnswer: -1\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -11*q. What is the remainder when -1*(2 + q) + 300 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 5*u + 6*u + 312 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j = 4. Let w = -4 - -6. Let g(f) = -w*f + j - 1. Let u(n) = 2*n**2. Give g(u(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((sqrt(240)\/(sqrt(132)\/(sqrt(11)*-1)) + sqrt(140)\/(2*sqrt(847) - sqrt(847)))*6)**2.\nAnswer: 288121\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -6*h + 31*h. Let b(z) be the second derivative of -z**5\/20 + z**4\/12 + 5*z**3\/6 - 5*z**2\/2 - 62*z. Give b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1009 = -606. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 103, 165, 233, 307, 387, 473?\n\"Answer: 3*k**2 + 47*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 - 3*x + 9. Let s be v(2). Suppose s = -10*g + 5*g + 5*h, 17 = -3*g + 5*h. Let n = -10 - -4. Sort g, -5, n.\nAnswer: g, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 1\/24, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -25*(-1 + 7110\/(-25)). Is u + (-1 + -2 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204 + -2 - (2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10294 + 11432. What is u rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 17*r - 17. Let n be t(-7). Suppose h = -0 + n. Solve 0 = -h*j - a + 2*a - 11, 25 = -5*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*z**2 - 7*z + 11 + 3 - 14 wrt z.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 13*j - 43. Give z(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 142cc - 1?\nAnswer: 142cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35885 is divided by 1706?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -285 + 2*d + 298 + d**3 + 6*d**2 + 0*d**3. Let c be b(-6). Let k(s) be the third derivative of -s**5\/10 - s**3\/6 + 2*s**2. Calculate k(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 2, d: 5}. Give prob of sequence nqd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*c**3 + 20*c**3 + 16*c**3 + 23*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w**5 - 3469038*w**4 - 66668618673*w**3 + 7258609882944*w**2 - 1913109565092*w - 1930888110096 = 0. What is w?\nAnswer: -38599, -2\/5, 2\/3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32639 and 508?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -7) + -1 + 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5897846?\nAnswer: 2, 29, 61, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-9))\/(2\/(-75)). Suppose 5*j = -m - 17, m + n = -2*m - 2*j. What is m rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2 - 2 + 0*n + 0*n - n - 3*n + 0*n + 2*n + (-6 + 4 + 3)*(-1 - 2*n + 1) + 3*n - 2*n - 2*n)*(-4 + 6 - 3)*(0 - 2 + 4).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05624 + -0.05635158. Round f to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -13, -37, -71, -115, -169, -233?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c - 5, 2*c = -l - 202. Let n = -184 - l. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-seven fifths of a century?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence palp when four letters picked without replacement from wnwvvlnnpwpvalw?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467162, 466927, 466692, 466457, 466222, 465987?\nAnswer: 465752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 103 - 95. Sort 2, 5, q, 0.\nAnswer: q, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let z(r) = -44*r - 2. What is m(z(x))?\nAnswer: -44*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 4*m**2 - 3*m + 1. Let t be n(3). Is t\/((-192)\/194 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3407 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4138, -4265, -4608, -5275, -6374?\n\"Answer: -18*k**3 - k - 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w + 2. Let b(j) = 3*j + 1. Suppose -3*d - 11 = -2. Let i(k) = k**2 - 3*k + 4. Let q be i(4). Let l(v) = d*f(v) + q*b(v). Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let a = 137787\/9502 + -4\/4751. Let p(d) be the first derivative of 24 + 0*d + a*d**2. Give p(b(i)).\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130989 is divided by 10915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - 3*v**3 - 2 - v + 2*v**3 in the form p*v + x*v**3 + w + g*v**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38472?\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 348*u**2 + 21*u - 1822. Give x(87).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-2)\/3)*-3. Suppose -3*z + f - n - 27 = 0, -z - 4*f = 6. Let a = -6 - z. Solve 0 = b - 2*b - 5*y + 22, 2*b = -2*y + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -5*j**4\/4 + j**3\/3 - 3*j**2\/2 - 3*j - 2. Let v = -2 + 2. Let o = 1 + v. Let f(m) = -m**3 - m - 1. Calculate o*r(q) - 3*f(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6731 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -280, -276, -260, -226, -168, -80, 44, 210?\n\"Answer: t**3 - 3*t - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 1. Let y be 12*(-3 + 10\/3). What is r(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 906*n**2 + 2724*n + 10800. Determine k(-450).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*s = -369*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 344698?\nAnswer: -8617450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/7 (b) -46 (c) -3 (d) -1\/7 (e) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azvz when four letters picked without replacement from {z: 5, a: 4, b: 2, p: 5, v: 3}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let a(g) = g - 3. Let n be a(5). Let z = 4 + -2. Let j(q) = 5 - z*q**2 + q**n - 5. Calculate j(k(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/n)**(-3)\/(n**(-2\/25)\/n**(-2)))\/((n**2*n)**(-1\/30)*n**(-5)*n**9) assuming n is positive.\nAnswer: n**(-241\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122.3 - -123. Which is the nearest to i? (a) -1 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-8))\/(-5))\/((-14)\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 41 = -5*s, 17*s = 15*s - 4*c + 14. Let j(a) = a**2 + a + 9. Let g be j(0). Calculate the greatest common factor of g and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8785626 to the power of 1\/2, to the nearest integer?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083475?\nAnswer: 5, 19, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t - 203 - 11*t - 8*t + 49*t - 17*t to the form o + f*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w + 151649 - 151649 + 31*w**2 to h*w**2 + l + g*w and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 2*f - 3. Let l be j(2). Let a be 4 - (3 + (l - -2)). Let o = 2 + a. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:58 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 75 - 10 = 0. Suppose i - 2*a = -2, 0*i - z*i = -5*a. Find t such that 0*t - 2 + 1\/2*t**i = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 15*a. Let t(v) be the first derivative of -4*v**3\/3 + 184. What is t(y(f))?\nAnswer: -16*f**4 + 240*f**3 - 900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56387 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43.77768 centuries?\nAnswer: 4377.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 5 (c) 0.4 (d) 5\/133 (e) -2\/11 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 900*n**5 + 5680*n**4 - 12592*n**3 - 102088*n**2 - 48980*n - 4200 = 0.\nAnswer: -5, -2\/5, -1\/9, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -84*v - 171 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 times 0.059199\nAnswer: 0.2427159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948 = -6*x - 0*o - 2*o - 956, 112 = -4*x - 12*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316540 and 406.\nAnswer: 9179660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*z + 16 = 6*z, -4*a - 4*z - 8 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2\/5)*u*u)\/u*u*u*u**1)\/((((u**(4\/3)*u)\/u)\/u)\/u**8))**(-25))**11 assuming u is positive.\nAnswer: u**(-9295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let r = t - 1. Let g be (6\/(-4))\/((-27)\/(-54)). What is the closest to 2 in r, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 39*r + 111 - 111 - 80*r + 40*r. Suppose -6 = -s + 3*a - a, 3*a = s - 8. Let h(q) = -s*q + 8*q + 3*q. Determine z(h(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f - 93. Let c be q(16). Suppose -3*s = 4*w + 8, w - 14 = -s + c*w. Solve 4*v - u - 1 + 15 = 0, s*v + 2 = -5*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4*d - 30 + 18, 5*d - 102 = 34*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmpcmipniipmcmmpp. Give prob of picking 2 c and 2 i.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/48)*l*(l**16*l)\/l assuming l is positive.\nAnswer: l**(817\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3511 + -7017\/2. Which is the third biggest value? (a) 25 (b) 196 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-7) - 612258\/107380. Let c = 63\/1534 - z. Let w = 3\/5 - c. What is the common denominator of w and -50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 594 and 29.7?\nAnswer: 564.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + 43*p**3\/6 + 38*p**2 - p. Is z(-15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, 48, 142?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-1))\/9*58\/174?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvssv. Give prob of sequence vs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f - 1. Let t be h(1). Let l = -13 - t. Let o be (-34)\/(-5) - 96\/(-80). Solve l*k - 4*k = -o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and 5936483.\nAnswer: -326506565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:25 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6*w + 243. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0, -0.4, -0.5, -4, 1536?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 169. Suppose 154*k = g*k + 89300. Round k to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*s + 4, c + 3*s = 2*s. Let g = c + 4. Find the third derivative of -21*w**6 + 4*w**6 + 12*w**6 - g*w**2 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 13*m**4 - 32*m**3 + 20*m**2.\nAnswer: -m**2*(m - 10)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -29*b + 118. Suppose 21*v - 71 = 13. Let x be d(v). Let z(o) = -4 + 6*o + 9*o + 3. Calculate z(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -134?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936154 is divided by 237.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/18*x**3 + 1\/126*x**7 + 1\/45*x**6 + 1\/3*x**2 + 0 - 1\/9*x**4 - 1\/30*x**5 + 36*x. Solve r(u) = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725493 is divided by 2769.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u - 3. Let h = 6 - 4. List the prime factors of z(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 364125 - 5641?\nAnswer: 356264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 344 + 0.02.\nAnswer: 344.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 719 = -10*d + 2*c, 5*c = 5*d - 1195. List the prime factors of d.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*z + 80 = 0, 6*z - 4*z = 4*u + 68. Let a(k) = -3*k + 14. List the prime factors of a(u).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 29*w**2 + 8 in the form a + u*w**2 + d*w and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 15*c - 410000*c**3 + 409999*c**3 + 0 + 0 + 0.\nAnswer: -c**3 - 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 4*p**2 - 6*p - 3. Let n be i(-5). Let s = 1 - n. Let t = 2 - 4. Is s > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*a + 2*z, -2*z = 5*a + 15 + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 1\/11, 1, 3\/10, 44, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2656875713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/16*8\/(-20). Let q(t) = -t**2 + t - 2. Let z be q(2). Let x = 343\/5 - 69. Which is the closest to -1\/4? (a) p (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*(a\/(a\/a**(-13\/3)))\/a)**(-5\/16) assuming a is positive.\nAnswer: a**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-8)\/2. Find the second derivative of 3*y - z*y - 5*y**2 + 2*y**2 + y**2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14332?\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678*m - 662*m = 763760. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 267. Let g(p) = 2*p**3 - p**2 - 2*p - 3. Let b be g(3). Suppose x = 3*r - b. What is the greatest common divisor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019596179 to the nearest integer?\nAnswer: 44940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*w - 12, -3*t + 5*w = -539. Calculate the remainder when 2774 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 20 = 0. Suppose 10 = -x + i*s + 32, 4*x - 2*s - 16 = 0. Suppose -7 = -x*n + 3. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 4*w**2 + 1248*w + 16. Let o be c(-26). Calculate the greatest common divisor of 296 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 8. What is s(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782537 is divided by 2516.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3475)\/(-15) + (-14)\/(-42). What is the highest common factor of 261 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*n = 19, -4*y + 5*n + 30 = 3*n. Suppose 0 = y*d - 7. Suppose -5*o + d = -24. What is the remainder when 12 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 10:30 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82570337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 30. Let d(v) = 23. Let n(g) = -551. Let u(i) = 145*d(i) + 6*n(i). Let p(r) = 3*l(r) - 2*u(r). Let t be p(-10). Does 2 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5310, -5318, -5338, -5376, -5438, -5530, -5658, -5828?\nAnswer: -6046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 28*y - 21. Let w be o(3). Suppose 0 = -5*s + 2*s + 174. Let c = w - s. Let v(q) = -6*q + 7. Let p(i) = 5*i - 6. Give c*p(f) + 4*v(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 + 90*g**4 + 36*g**2 + 1?\nAnswer: -240*g**3 + 2160*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -1130999?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*-2*2\/(-220)*1)\/15.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 2) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3480 and 27\/58.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 - (-112)\/(-21) - (-5)\/(-3). Suppose 5*t - 4*t = 2*f + 2, -3*f + 4*t - 13 = 0. Let p be 3 - (f - 2\/1). Solve v = -y*u, u + p*u = 3*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and 149\/3702.\nAnswer: 3702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.9 - 2.1. Let i = -56 - v. Let m = -40 - i. What is the closest to m in 0.4, -0.5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38263 and 483589?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.7356332266 + -1.1.\nAnswer: -54.8356332266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/60 - m**2. Let n(v) be the second derivative of 0*v**2 + 4*v - 1\/12*v**4 + 0*v**3 + 7. Calculate g(n(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/120 - 5*z**3\/6 + 9*z. Let i(w) be the second derivative of g(w). Let s(t) = -t**2. Give s(i(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 13*o**3 - 9*o**3 - 5*o**2 + 3*o - o in the form n*o**3 + v*o + c*o**2 + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.104298 + 24.131. Let q = -59.092702 + w. Let h = -59 - q. Round h to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, u: 3, o: 1, h: 4, i: 4, r: 2}. What is prob of sequence ii?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16))\/((-1148)\/137760).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -8*m + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5896*v**2 - 20*v - 41. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -20de?\nAnswer: 20df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpu when four letters picked without replacement from supsssudsuddsspd.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*h - 1237*h + 304*h.\nAnswer: -1371*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264938*g**2 - 2529900*g**2 + 1264941*g**2.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*q + 16*q**2 - 27 + 62 + 54*q + 60*q + 3 as p*q**2 + l + v*q and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-2 - -2) + 3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -1746, -5\/3, 6\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 2*p**2 - p. Let n(c) = 4*c**3 - 9*c**2 + 6*c + 18. Determine -n(f) - 3*s(f).\nAnswer: 2*f**3 + 3*f**2 - 3*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 1 + 0 - (sqrt(76)\/sqrt(4)*-1)**2 - sqrt(190)\/(sqrt(40)*-5).\nAnswer: -18 + 11*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-212)\/(0 + -4) - 3. Let v = 214 - h. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 2*p, -2*v + 0*p = -2*p. Solve 0 = -q + v*s + 1 + 4, -2*q - 3*s - 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6707898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**2 + 40*u**2 + 12*u**2 - 1 + 3*u**2 to c + l*u + f*u**2 and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/4 + 22403*g\/4 - 145535\/2 = 0. Calculate g.\nAnswer: 13, 22390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1483, 10, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 661823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2 + 12. Suppose 4*z + 1271 = 3*q + 1306, 2*z - 15 = q. Solve 2*v - r = -z*x + 6, -16 = -4*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/44 - 150\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 770, 1157, 1544?\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*m**4 + 975*m - 3 - 489*m - 484*m - m**3 to n*m + i*m**2 + b*m**3 + j*m**4 + w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -41*d - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*l + 4*l**2 - 11 + 11 as c*l**2 + f*l + n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*u - 111 = 0, 3*s - 348 = -2*u + 5*u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from gimybmy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31a93 (base 11) in base 5?\nAnswer: -2442231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + h**2 + h + 1. Let n be w(0). Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s - 11*s - 327*s - 5950 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(26\/650)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1180 divided by -3\nAnswer: -1180\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + -129 + -2)\/(-1). Suppose 5*u + 3*q = y, 6*u - 5*q - 105 = u. Calculate the remainder when 174 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*y - 1313 = 187. Solve 20*z = y*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d - 4*d**3 - 2 - 3*d - 1 - 3*d**2. Let k(m) = -m**3 - m**2 - m - 1. Give -c(w) + 3*k(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359570314 and 398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(26 + -30))\/((-8)\/1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 187. Let p(h) = 2*h - 195. What is -4*p(k) - 3*t(k)?\nAnswer: -2*k + 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2705*j**3*n**2 + 4*j**3*n*o + 3*j**3*n + j**3*o - 9*j**2*n + 5*j*n*o + 2*n**2*o wrt n?\nAnswer: -5410*j**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/102 + (-1 - (3 - -3) - -71)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 17 + 9 = 0. Suppose -5*f + 108 = c*h - 59, -406 = -5*h - f. Suppose -3*k + h = 78. Solve -4*v = -21 + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 36*i**2 + 15*i - 36*i**2.\nAnswer: 3*i**3 + 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:01 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2) + (9\/6)\/(11825\/1175 - 10)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897 and 3900156000?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -363, -395, -427, -459?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 - 7. Let t = 10 + -7. Let v(s) = -2*s**3 - 3. Determine t*n(d) - 7*v(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*n**2 - 301*h**3*n - 4*h**3 - 21*h**2*n**2 + 20*h**2*n - h*n + 2*n wrt h?\nAnswer: -6*n**2 - 1806*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 2. Let a(s) = -s - 1. Let r(j) = -17*a(j) - 6*n(j). Let g be r(3). Differentiate -2 - 5*m**g + 0 + 3*m**2 wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57514*i - 137449*i + 36066*i.\nAnswer: -43869*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -399 + 102. Let n = 43 + w. Suppose 3*h - 35 = n. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/((-21)\/(-14)))\/((-1246)\/(-712))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-36)\/168*7*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -4 - -18) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1599 and -31\/273.\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2922 and 2850411?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:07 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 82 + 133. Sort -1\/3, 0.01, 0.3, x.\nAnswer: -1\/3, 0.01, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32629, -65259, -97889?\n\"Answer: -32630*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8645*k**3*s**3*x**3 - 9*k**3*s**2*x**2 + 30*k**2*s**3*x**3 + k**2*s**3*x - 7*k**2*s**2*x**2 - 20*k*s*x wrt k?\nAnswer: 51870*s**3*x**3 - 54*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45129644*b**5*y**2 - 2*b*y**2 - 28*b + 42984*y**2 + y - 2 wrt b.\nAnswer: -902592880*b**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0661929 to four dps.\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let y(i) = -55*i**3 + 6*i**2 - 2. What is -6*o(p) - y(p)?\nAnswer: 55*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 5*r - 2*r)*(9 + 2 + 10) + (-2*r - r + 2*r)*(-3 + 0 + 2) + 0 + r + 0 to the form n*r + y and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(9\/5)\/d**(2\/45)*d*d*d*d*((d*d*d**(-44))\/d*d)\/d*d**(-39)\/d*d assuming d is positive.\nAnswer: d**(-3431\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 6) to base 16\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/m**(-3\/8))\/m)**48 assuming m is positive.\nAnswer: m**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 31322*o\/5 - 62636\/5.\nAnswer: -2*(o - 15659)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 60212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -6\/7 (c) -5 (d) 3 (e) 111 (f) -3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2703, 0.5, 9\/2, 2\/7, 0.1, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39299169187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 1. Suppose -23 + 8 = -15*d. Suppose 16*v - 11*v + p + 3 = 0, d = 5*v + 3*p. Give a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-28) + 8\/32. Let y = 17\/8 - 271\/120. Let n be 2\/(-22)*(2 - 0). Which is the nearest to z? (a) n (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2365*f - 99305. What is d(-42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let g = -7 - -7. What is the second smallest value in 0.5, l, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -21*a - 5613. Give x(-266).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 23*g**2 - 81*g - 80. Let x be c(-26). Let t be 2\/8*2*-12. Sort t, 1, x in increasing order.\nAnswer: t, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 51. What is the remainder when i(0) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 6. Suppose 0 = -2*w - 2*n, 23 - 8 = i*w + n. Let q(k) = 3*k - 7. Calculate the remainder when 22 is divided by q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + d + 7. Let r(c) = -5*c**2 + 6*c + 1. Let o = -23 + 17. Let l(h) = -4*h**2 + 5*h + 1. Let s(q) = o*l(q) + 5*r(q). Calculate f(p) + 6*s(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 19*v = 27*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.82232 * 5\nAnswer: -19.1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -2789, -4149, -5475?\nAnswer: -6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2127 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Let h(m) = u*m - 2*m + 4*m. Let y be h(-1). Which is the nearest to 2\/3? (a) y (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -51*j - 1. Give q(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(8\/(-36))\/((-6)\/54)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 14 - 1 = -i, -4*i + 5*b = -39 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/41643 and 26\/21735.\nAnswer: 14366835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 464666 (base 8) in base 9?\nAnswer: 260824","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/5209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/56 in 76, -5, 14, -10\/11, 3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-13 + (-1176)\/(-91))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/1)\/((-10 - -2) + 9). Let c = 7 - 14. Let i = c - w. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 3*o**2 + o + 10 - 2*o**2 - 3*o. Let w be x(4). Let g = 34 - w. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2934, 24356, 82776, 196698, 384626, 665064?\nAnswer: 1056516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t. Suppose 0 = 3*i + 5*p + 21 - 39, -4*i + 24 = 2*p. Let n(r) = -r. Suppose -y = -2*b - 2, 2*b + 4*y + 2 = 2*y. Give b*k(z) + i*n(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let o(t) be the second derivative of 7*t**5\/10 - 100*t**2 + 96*t. Let l(s) be the first derivative of o(s). Give c(l(y)).\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) -5 (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13443 (base 6) to base 8.\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-3800)\/(-150) + 7 + 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (477*d + 3268 - 1632 - 1636)*(-17*d + 10*d - 10*d).\nAnswer: -8109*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111.4 - -17.7. Let t = -129 + l. Which is the nearest to t? (a) 1 (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 6\/11 (c) 1\/4 (d) -1\/2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**3 - 6*m**3 + 0*m**3 - 8*m + 5*m**5 wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533253421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/7 - 6*g**3\/7 - 22*g**2\/7 + 6*g\/7 + 20\/7 = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**4 + 2*l**2 + 65887*l - 221459335 wrt l.\nAnswer: 16*l**3 + 4*l + 65887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r - 2*r - 2*r + 3*r - r. Let p(b) = 354*b - 5. Let x(n) = -8319*n + 118. Let o(g) = -118*p(g) - 5*x(g). What is o(t(u))?\nAnswer: 354*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 602, 600?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (2*sqrt(1872) + sqrt(1872)))\/((sqrt(16) + (sqrt(16) + sqrt(16)*2 - sqrt(16)) + sqrt(16))\/sqrt(4)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyy when three letters picked without replacement from {a: 6, y: 2, c: 3, e: 1, m: 4, z: 4}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 4 + l + 0 + l**2.\nAnswer: (l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963501 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 977668393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111001 + -1001111101?\nAnswer: -1111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -33*d**3 + 3*d**2 + 8*d + 8. What are the prime factors of c(-2)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 8*x - 44. Let b be w(9). Suppose 13 = 28*s - b. Calculate the highest common divisor of s and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1855168 divided by 66256\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 8. Let l be y(-7). Suppose 0 = m + l - 5. What is the common denominator of -95\/2 and (-194)\/8 + (0 - m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392982619.\nAnswer: 392982619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139\/5 + 561\/20. Let q = -52 + 48.55. Let p = 0.45 + q. Which is the closest to -0.3? (a) -2 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -85*k**4\/4 - 136*k**2 - 156. Find the second derivative of u(v) wrt v.\nAnswer: -510*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.74534 litres in millilitres?\nAnswer: 56745.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 2*y**2 + 5*y + 5. Let t(r) = 2*r**3 + 2*r**2 + 4*r + 4. Suppose 4*s - 45 = 16*s - 3*f, -3*f = 2*s + 25. Give s*t(w) + 4*q(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(-10)\/(n*n\/(n\/(n**(4\/11)*n))*n*n**19) assuming n is positive.\nAnswer: n**(-796\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:44 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -174 times 1.05\nAnswer: -182.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/11, -0.1, -56.7, -0.2 in decreasing order.\nAnswer: 2\/11, -0.1, -0.2, -7, -56.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 312?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 629386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 16*j - 11800 = 0. Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 1. Let q be w(3). Suppose -2*h + 3 = -h. Suppose f - q = -h*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.38219kg to grams.\nAnswer: 82382.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61\/68 - -28\/17. Which is the third smallest value? (a) g (b) -5 (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/45)\/((48\/(-252))\/((-9)\/(-21)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4.6+-93936379\nAnswer: -93936374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:31 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 != -8177016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 385. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 6 + -15 + (16 - 24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.355974683 to three dps.\nAnswer: -3.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/284 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4636468152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 17, r: 1}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 - 6. Let y(a) = -6 + 17 + 1 + a**2 + 2*a - p. What is y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 4. Suppose -g + x - 3*x + 5 = 0, 5*x = -4*g + 8. Determine l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22135 - 15748. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/332590 and -13\/8420.\nAnswer: 665180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*c + 988 = -559 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 61*p + 995. Calculate j(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*v + 19. Suppose -v*s + 3*s + 21 = 0. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5856 = -t - 2060, 3*w - 2276 = -t. Calculate the greatest common divisor of 160 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 32*p - 107. Determine v(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946111681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-66) - 8\/(-44))*1. Suppose -g*a + 4\/3*a**2 + 1\/3*a**3 - 4\/3 = 0. What is a?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(128)*-1)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/((q*q**(2\/9))\/q)))**20*((q\/(((q*q**1\/q)\/q)\/q))\/q*q)**(-29))\/((q*q**(1\/11))\/(q\/(q*q**1)))**(-48) assuming q is positive.\nAnswer: q**(6614\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 25*t**2 + 2*t + 46. Give w(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.5 (c) -3 (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 858*y**2 + 77952*y + 2179872 = 0. Calculate y.\nAnswer: -116, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11220023 - 1?\nAnswer: 11220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 128, 9, -1, 0.\nAnswer: -3, -1, 0, 9, 10, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 2, c: 2, b: 2, i: 3}. Give prob of picking 1 c and 3 i.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1119.59989222 - 1119.6. Round j to 6 decimal places.\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 469, 461, 451, 439?\n\"Answer: -z**2 - 5*z + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 155, 349, 613, 941?\n\"Answer: -w**3 + 44*w**2 - 7*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 + -22 - (684656\/(-4) - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*r = -79*r + 33*r + 640. Let b(n) = -2*n - 3. Suppose -u + 4 = -0*u. Let j(q) = -u*q - 6 - 2*q + 2*q. Calculate r*j(o) - 9*b(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + 7*u + 4. Suppose 4*i - 9*i - 35 = 0. Let t(y) = y**2 + 2*y + 1. What is i*t(r) + 2*q(r)?\nAnswer: -2*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91.3 + -91. Let j = -0.5 + 0.3. Let b = j + 0.4. What is the nearest to 0.1 in 0.5, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2954, -7174, -11394?\n\"Answer: -4220*f + 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10464, 21113, 31736, 42327, 52880?\nAnswer: 63389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccppcccccc. What is prob of picking 2 c and 2 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x. Let s(o) = -4*o**2 - 4*o + 88. Let q(c) = -3*h(c) + s(c). Calculate the smallest common multiple of q(0) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -31*i**2 + 2*i + 1045. Let t(s) = -37*s**2 + 2*s + 1045. What is 6*g(h) - 5*t(h)?\nAnswer: -h**2 + 2*h + 1045","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by 17.\nAnswer: -152\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/11 + 1\/33. Let s = -0.31 - -0.01. What is the nearest to h in -1, s, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -163. Which is the closest to 1? (a) f (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 12. Suppose 0 = -2*t + 4*x + x - 2, 2*t - n = -x. Solve 0 = -5*w + 4*v + 6, -6*v + t*v + 4 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, 754, 1591, 2452, 3343, 4270, 5239, 6256?\nAnswer: 7327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 80 = 2*z. Let f be ((-3)\/4)\/(45\/z). What is the closest to -2 in 3, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 6) in base 10?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-990)\/297)\/(10\/12) - 713*-3?\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10290\/5096*169\/182?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n + 164 = -36*n - 2*z, 5*n = -5*z - 40 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 t, and 1 l when four letters picked without replacement from {t: 5, f: 1, l: 3, g: 1, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 49536 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y + 23*y - 66*y + 15*y - 1836*y**3.\nAnswer: -1836*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -5 (c) -0.2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -159, 3\/7, 1, 8, 2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 36 = 0. Suppose -2*n - c = -3*n. Suppose 0 = -f - 2. Let w(q) = -10*q**3 - 9. Let s(y) = -y**3 - 1. Calculate f*w(o) + n*s(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3492 - 1138. What is the highest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-7 + 3)*(-3)\/6. What is the fourth biggest value in -1\/16, -0.1, v, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 7. Let q be (1\/(-2) - a)*4. Calculate the remainder when 15 is divided by q\/(-14) + (-640)\/(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6477*m + 96 = 6480*m. Factor 8*s + 1\/2*s**2 + m.\nAnswer: (s + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4\/17*w**4 + 26\/17*w + 6\/17 + 38\/17*w**2 + 22\/17*w**3 = 0.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8973241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2188, 2206, 2236, 2278, 2332, 2398, 2476?\n\"Answer: 6*y**2 + 2182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 57?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2849145 minutes in microseconds?\nAnswer: 17094870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2064, 2214, 2494, 2928, 3540, 4354, 5394?\n\"Answer: 4*z**3 + 41*z**2 - z + 2020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)\/p)**(-6\/23))**(-2\/31)*((p*(p\/p**(-2\/9)*p)\/p)**(2\/15))**50 assuming p is positive.\nAnswer: p**(284957\/19251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**3 - 23*v**3 + 19*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnf when four letters picked without replacement from anafafanaf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7635040 is divided by 626.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqpqfgppoqvoqfp. What is prob of sequence pqqf?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*a + 5090 = -1222 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 16) to base 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3029 - 0.0871. Let n = 40.49 - 40. Let k = o + n. Which is the nearest to 1? (a) k (b) -2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 2, q: 1, b: 4, f: 1, l: 2}. What is prob of sequence lnb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/461 - 2909\/5993. Which is smaller: 1\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 406956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -92. Let r = i - -73.1. Let y = r - 4. Put 6\/13, -1, y, 2 in decreasing order.\nAnswer: 2, 6\/13, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/15)\/(480\/(-50) - -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + z - 1261 = -15, -u + z - 250 = 0. What is the tens digit of (3 - (-33)\/(-9))\/(2\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/13)*x*x**6\/x)\/(x**(-6)\/((x*x**(-4\/7))\/x))*(x**(-2\/5)*x**(4\/3))\/((x**(3\/5)*x)\/x**8) assuming x is positive.\nAnswer: x**(5437\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/6 - ((-13189)\/35970 - 4\/(-24))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194*-8703.2.\nAnswer: 1688420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 59 - 159. Let o = z - -53. Solve -5*w - 4 = -t, o*w + w - 8 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14841225 and 2075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15428*h**2 + 30843*h**2 - 15402*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 307481 + 906*m**4 - 307481 + (m**2 - m**2 - m**2)*(-m + m - m**2).\nAnswer: 907*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1390 in 4\/9, 0.64, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*h + 448 = 455, 4*h = t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 92 - 113. Suppose -3*v = -3*d + 24, -3*v + 4*v - 24 = -c*d. Solve -5*f = m + 10, f = -3*f + m - d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/88 - 65\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202570 + -202570.279954. Let q = 0.28 + n. Round q to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((40\/(-30))\/((-8)\/(-12))). Let m(y) be the first derivative of a*y**3 + 1\/2*y**6 + 12\/5*y**5 + 0*y**2 + 0*y + 3*y**4 - 8. Factor m(o).\nAnswer: 3*o**3*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3761 = 232*x + 183 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 411, 683, 1023?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 12*m**2 + 189*m\/2 + 245.\nAnswer: (m + 7)**2*(m + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - -25. Let k = b - 29. Suppose -k - 108 = -2*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928\/1092*(-7)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 - 32*v - 5. Let y(g) = g**2 + 8*g + 1. Calculate 2*r(h) + 9*y(h).\nAnswer: 2*h**3 - h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265112 is divided by 1762.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let r be ((33 - 16) + -11)*2\/6. Let x(y) be the second derivative of -r*y + 0 + 0*y**3 + 0*y**2 - 1\/6*y**4. Give x(b(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, r: 5, y: 1, f: 5, n: 2, p: 2}. Give prob of picking 1 r, 1 o, and 2 p.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000973966937 to 6 decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -31. Let z = -1193 + 1209.048. Let p = h + z. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 23. Let q(a) = 2*a - 12. Let c(g) = 5*q(g) - 3*v(g). Find the first derivative of c(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odh when three letters picked without replacement from {o: 2, h: 4, r: 2, d: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 231 = -297. Let o be (1 + 35\/(-33))\/(44\/n). Is -0.2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2 - 44642884*t - 498246772959364 = 0. Calculate t.\nAnswer: -22321442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -454 (b) -0.1 (c) -0.069 (d) -0.7 (e) -4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24013 and 6.3?\nAnswer: -151281.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143539 divided by -1.\nAnswer: 1143539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 411436 or 411437?\nAnswer: 411437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(121))\/(sqrt(11) - (sqrt(11) - 3*sqrt(99))))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**5*c*c*c\/(((c\/(c*c\/(c\/(c*c*c**(-1\/5)\/c*c*c))*c))\/c)\/c*c)*c*(c*c**9*c)\/c**7 assuming c is positive.\nAnswer: c**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 19087 - 542707. Suppose -44892 - u = -6*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*f + 360, -p = f - 19 - 53. Calculate the common denominator of 0 - 452\/f - -8 and (0 - 76\/15)\/10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 1447833*f**2\/5 + 524052927216*f\/5 + 1572171812172\/5.\nAnswer: (f - 723918)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06753384 to 3 decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092911.\nAnswer: 1092911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 53, 129, 229, 347?\n\"Answer: -j**3 + 21*j**2 - 10*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*6*(24 - 2416\/96)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.737 - -0.317. Let b = j + 3.420358. Round b to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369068 divided by -280.\nAnswer: 13181\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 7*b**4\/3 + 11*b**3 - 71*b**2 - 677*b\/3 + 70 = 0?\nAnswer: -7, -3, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5286, 3577, 1 in descending order.\nAnswer: 3577, 1, -5286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*b - 844*b - 839*b - 875*b + 4259*b - 880*b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(9\/(-35))*3. Suppose -2*l = -j*l + 2244. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-3)\/f))**0\/((f**(-1\/3)*f)\/f**(-1)))**6)**(-3\/23) assuming f is positive.\nAnswer: f**(30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5821704368751 and -2.1?\nAnswer: 5821704368753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = m + 3, b = -m + 5. Let a = 26 - 24. Suppose -2*v = a*v - 8. Solve -b*p + v*g + 12 = 0, -5*p + 10 = g + 4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let m be 3\/(-3 + 5 + -3). Let a be 3\/9 - 8\/m. Solve -r*h - 5 = -2*s, -2*s + 3*h = -a*s + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 12, 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3105 + -1888. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 3*h - 3. Suppose -10 = -3*u - 2*u. Give c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 3. Let i be c(2). Let m be (i - -4) + (-8)\/(-14). What is the second biggest value in 5, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88\/21 - -6\/7. Calculate the common denominator of d and -17\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 35. Suppose 0 = s*t - 11 - 4. Is 2 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 1. Let x be k(-2). Let a(m) = m - 1. Let g be (-14)\/(-21) - (-4)\/(-6). Let l(p) = -3 + g + 7*p - 2. Determine x*a(o) - l(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2739 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1297*b**2 + 146*b**2 + 38150*b**2 to o + c*b + h*b**2 and give h.\nAnswer: 36999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 997047.8 litres?\nAnswer: 997047800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t + 4*z = 1012, 4*z - 1265 = -5*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and 21\/(-60) + (-12)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112921, 225843, 338765, 451687, 564609, 677531?\nAnswer: 790453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:15 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78512096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 270*j - 121364. What is y(449)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 2. Let g be x(3). Let z(b) be the second derivative of -b**5 + b**4\/12 - b**2\/2 + 6*b. Does 20 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 2 - 2 + (3*n + 3*n**3 - 3*n)*(n + 2*n - n) + (0 - 4 + 3)*(-3*n**3 + 2*n**4 + 3*n**3) - 38 - 45*n**4 + 43 + 40*n**4.\nAnswer: n**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcc when three letters picked without replacement from rrrcrrrrrcrrrc?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/4, 10, -5\/1571 in ascending order.\nAnswer: -5\/1571, 10, 55\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 7. Let q(h) = h**2 + 6*h + 7. Let j be q(-5). Let p(g) = g - 1 - 2*g + j*g. Determine 5*p(r) - t(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.61 + 2.81. Suppose n = 6*n - 10. Let f be 0 - (-3)\/15*n. Is f at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46074.68cm to nanometers.\nAnswer: 460746800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/41 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*w**2)*(-w + 3*w + 0*w) + (w**3 + 0*w**2 + 0*w**2)*(-3 + 5 + 0) + 0*w**3 - 9*w**3 - 2*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213964 + -665181. Let a = 879147.000046 + v. Let t = a - 2. What is t rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txytzyxzzyfxyfta. Give prob of picking 1 t and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -73. Let y(w) = -w. Calculate y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*w - 12 = 9*w, 0 = 2*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-12)*(-30)\/(-63). Let l(x) be the second derivative of 0 - 4*x + 0*x**2 + a*x**3. Let t(o) = o**2. Determine t(l(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101413 divided by -3?\nAnswer: 101413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -454.\nAnswer: -35\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029221712 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6969 not equal to 24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 - 3*f - 4. Let s be t(5). Let u = s - -4. Let i = 3 - -13. Calculate the least common multiple of i and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6161387*-0.1\nAnswer: -616138.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -7195.808 + 7207. Round f to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 58 = -62. Solve 3*l = b*p - 1 - 6, -l - p = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, x: 1, s: 6, m: 5}. What is prob of picking 2 m and 1 s?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127743 and 9849.\nAnswer: 8558781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*i - 0*l - 35, -i - 10 = 3*l. Suppose -i*r + 500 = -7*r. What is r rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((-39)\/(-117)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-28) + -2 - 148281\/(-6762))*19\/38?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -2 + (5 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41249 - -71416. What are the prime factors of f?\nAnswer: 97, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284048 is divided by 1114.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/102635?\nAnswer: -4\/102635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/81 and -125\/42.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -6959\/455?\nAnswer: -6959\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3243 + -10438. Let q = x + 437691\/32. Find the common denominator of 79\/12 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 - 2*q - 2. Give d(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiommoximf. What is prob of picking 1 f and 2 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 228*t**2\/7 + 25992*t\/7 - 2963088\/7.\nAnswer: -2*(t - 114)**2*(t + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qizzy. What is prob of picking 1 z and 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-450)\/(-56) - (-2)\/8. Let j = v + -515\/63. Let u = 2683 + -2680. Which is the closest to 4? (a) u (b) j (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152*0.3.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4 - (11 + -10)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 1176*z - 2559. Determine t(-233).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*x**4 - 95*x**5 - 28 + 5*x - 21 + 226*x**4 - 113*x**4 wrt x.\nAnswer: -1900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832 is divided by 69.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/180 + 119*m**3\/6 + 27*m**2. Let d(g) be the first derivative of w(g). Let x(h) = -4*h**2. What is d(x(q))?\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - s + 1. Let z(r) be the third derivative of -r**6\/24 + r**5\/30 - r**4\/24 + 2*r**3\/3 + 26*r**2. Give -4*p(c) + z(c).\nAnswer: -c**3 - 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5 + 11*i**2 + 78*i wrt i?\nAnswer: 100*i**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189754 = 166*h - 91659 - 86807 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 419, 429, 203, -253, -933, -1831, -2941?\n\"Answer: i**3 - 124*i**2 + 375*i + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 216 = -10*n + 21*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 9*k**3 + 3*k**2 - 3*k**2.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243638891*c**2*r*z**2 - 9*c**2*r + c**2*z - 2*c*r**2*z**2 - 5*c*r**2*z + 2*c*r**2 - 781*c*r*z + 19*c*r wrt z.\nAnswer: -487277782*c**2*r - 4*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14787 (base 10) to base 11\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 6. Let k be b(-4). Suppose 0 = 5*h + 2*z - 27, -2 = -h + z + k. Let r = h + -4. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from iqqbqqqqriblqrlq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + 0))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495497 is divided by 495459?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*f - 67. Suppose 0 = -f*d + 34*d + 252. Calculate the remainder when d is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/7, 2, -2\/5, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 850\/(-200) + 2\/8 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n**2 + 0 - n)*(3*n + n - 3*n) + 48*n**3 + 34504 - 34504 + (-2*n - 1 + 1)*(-2*n**2 + n**2 + 4*n**2).\nAnswer: 40*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 8*x**2 - 13*x + 2. Let c be p(10). Suppose c = 7*b + 5*b. Solve 0 = -a + b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 4*n**2 - n - 5. Let v be u(4). Suppose 2*y - 120 = -3*y. Let s = v + y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 2 (c) -0.5 (d) -1\/2793 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 3*c + 10*o + 14, -4*o + 34 = -3*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20482 by 1862.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 84, 115, 128, 117, 76, -1, -120?\n\"Answer: -z**3 + 50*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -21*x**4\/4 + 29*x**3\/6 - 74*x. What is the second derivative of c(g) wrt g?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/150 + 7*x**5\/100 + 7*x**4\/60 - x**3\/2 - 3*x - 103. Determine l so that n(l) = 0.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from qqrqqrrrqqqqqr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbob when four letters picked without replacement from bobbobbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1305 divided by 261.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**2*w + 349*i**2 + 6*i*w - 10472*w wrt i?\nAnswer: -6*i*w + 698*i + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.1 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -318 + 318.000542. Round h to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 - 6*a**2 + 33*a + 36 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -75 (c) -4 (d) -2\/5 (e) -1.4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 2*p - 600, 2*a + 241 = p. Find the common denominator of (1 - a\/(-10))*1 and (6\/4)\/(3 + 2709\/(-868)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*a + 4667 = 0, -3*a + 6*a - 4687 = 5*k. What is the tens digit of (-4)\/(-14) - k\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.723 + 0.277. Let r be (22\/18)\/((-7)\/105) - -1. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - x**2 + 4*x - 10. Let l(o) = 6*o**3 + 2*o**2 - 9*o + 20. What is -9*k(g) - 4*l(g)?\nAnswer: 3*g**3 + g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.1, -10, 0.017?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -11. Let y be (-710)\/(-4)*(-64)\/240. Let p = y + 236\/5. Which is the closest to -0.2? (a) -3 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -9*d + 10*d + 2*g, -2*g = -4*d - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*r + 28, 0*d - r - 56 = -3*d. Let c = d + -26. What are the prime factors of (-2)\/(c\/99)*1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 79 + 12098 = 0 for d.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44658 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 5.4 (b) -15 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69498, -69469, -69442, -69417, -69394, -69373?\n\"Answer: -o**2 + 32*o - 69529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -15 + (-46 - -10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgfnfgpffgtffxgf. Give prob of sequence pnxf.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23438 + 8?\nAnswer: -23430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3124*m - 3113*m + 326, 5*i = -4*m - 139 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 18472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -543*g**2 - 183*g**3 - 708*g**2 - 6900*g - 6*g**4 - 150*g**2 - 489*g**2 - 3000.\nAnswer: -3*(g + 10)**3*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a millennium?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1767, 1805, 1841, 1875, 1907, 1937, 1965?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -11.24. Let f = -0.24 - j. Let z = -5 + f. Which is the closest to -0.3? (a) -1 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1011011010111011110011101?\nAnswer: -1011011010111011110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 - 142. Suppose 0 = u*f + 1 - 13. Let o(w) = w**2 - 3*w + 3. Determine o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-189)\/507) - (-50)\/(-225)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -2006, -4526, -8054, -12590?\nAnswer: -18134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7306, -14537, -21766, -28993, -36218, -43441?\nAnswer: -50662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 675272441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 2*q - 3*q + 4*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 14*y**2 + 2*y + 3. List the prime factors of l(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 3, t: 6, s: 1, z: 1, c: 2}. What is prob of sequence cg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/60 and 1\/195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 96. Suppose a*w = 5*w + u + 4, -4*u - 12 = 2*w. Put -0.2, -1, w in decreasing order.\nAnswer: -0.2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -144, -5, -3\/7, 960 in increasing order.\nAnswer: -144, -5, -3\/7, 1\/5, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*x = 857*x + 55. Let c(i) = 12*i + 189. What is the remainder when 110 is divided by c(x)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000841327 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = 4*w + 5, 5*o = -4*w + 4. Put -2, -3, w in ascending order.\nAnswer: w, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1.953\nAnswer: 9.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*z - 22, 0*z + 10 = -z - 5*t. Put 2, 3, z, 1 in decreasing order.\nAnswer: z, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3315 = 5*q + 3270, 0*j = -j - q + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/((-26)\/1651))\/(2\/(-4)) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12117 + 69*m**2 + 12117.\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251.9857 months in years?\nAnswer: 187.665475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from zkmpazkw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-1)*(-282)\/1410*(-21)\/7?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 3*k - 33. Let z be q(6). Are z and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g**2 + g**2 + 2 + 2*g**3 - 2*g + g**2 + g**2. Let r(a) = -7 + 3*a**3 - 4*a**2 - 5*a**3 + 2*a + 4. What is 3*q(d) + 2*r(d)?\nAnswer: 2*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*s**4 - 14056*s**3 + 1180077*s wrt s?\nAnswer: 252*s**2 - 84336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2 - 21\/(-15)). Suppose 0*h = u*h - 4605. Let c = h - 340. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 31. Suppose y = 3*o - 12, -4*y - y = -m*o + 10. Suppose 7*k = 58 + o. Calculate the remainder when 34 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9659*a = -4831*a - 4846*a - 666 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1979*d + 144479. Calculate w(-73).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01287 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.993 - 12.94. Let v = -46.353 + r. Let a = v - -41. What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -6. Let j be b\/5 + (-2)\/5. Solve 2*t - 3 = -j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -5.7. Let b = -6053 - -6052.9. Let g = -0.1 + 0.1. Sort q, g, b in decreasing order.\nAnswer: q, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168541\/30 + -5618. Put -0.2, -4, d, 3\/4 in descending order.\nAnswer: 3\/4, d, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118478918 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-3*-4)\/((sqrt(3) - -3*(sqrt(9)\/sqrt(3) + sqrt(3)))*1).\nAnswer: 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/((-40)\/12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r**(-8)*r**(-2\/25)\/r**(6\/7))**20 assuming r is positive.\nAnswer: r**(-9056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let r be y(-2). Let q(g) = 2*g**3 - 34*g**2 - 68*g - 180. Let k be q(19). Sort k, r, 0, -5 in decreasing order.\nAnswer: r, 0, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -343?\nAnswer: 32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26917509\/12)\/((-12412917)\/(-9480)). Let x = -7\/125383 + u. Let r = x - 1713. Is r less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79521458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h - 5*h**3 - 1 - 4*h**3 + 13*h - 5*h. What is f(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1e57?\nAnswer: -1e5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 11*l - 44. Calculate c(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39567 and 6048955.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -266, -1, 11, 2 in decreasing order.\nAnswer: 11, 2, -1, -4, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, 163, 2, -122 in ascending order.\nAnswer: -122, -5, -4, -1, 2, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 92. Let q(f) be the third derivative of -7*f**5\/60 - 1545*f**2. What is h(q(l))?\nAnswer: 7*l**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -4, 3.\nAnswer: -7, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 556 = 180. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/((-23)\/690). Calculate the greatest common divisor of 45 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 1. Let q(c) be the first derivative of c**2 - 343. Give o(q(p)).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1127?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(225\/10))\/((-6)\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 8*y**2 + 7*y + 6. Let a(w) = w**3 - 2*w**2 - 3*w - 1. Let n(m) = 8*a(m) + 3*z(m). Calculate n(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 28410?\nAnswer: -28412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1 + 12\/(-10)). Let g = l + 9. Let y = 18 - g. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22464 - -10954. Let i = x - -25765. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 20*n**2 + 7*n - 10. Let w be q(10). Calculate the greatest common factor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*t + 5, -7*u + 19 = -5*u + 3*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:17 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z - 4 - 1 + 6 - 2.\nAnswer: 46*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((24\/(-1017))\/(-4)). Let g be 18*(q\/(-60) - (-4)\/20). What is the highest common divisor of g and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 8. Let k be n(6). List the prime factors of (-4)\/k + 6 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h = -468 + 412 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -242 (b) -64 (c) 2\/5 (d) 5 (e) 4\/3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 535568 and 316.\nAnswer: 42309872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -951, 7, 3 in ascending order.\nAnswer: -951, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 131752387.\nAnswer: 527009548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5544 = -1683*m + 2299*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.04. Let x = -0.3 - b. What is the second smallest value in x, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from nyettddtutnnnnu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77917.12 centuries to decades.\nAnswer: 779171.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.211298.\nAnswer: -0.0211298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5303*b = 1624*b + 2200*b + 6177*b + 474424 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7819309 weeks?\nAnswer: 131.3643912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 27. Let o be c(4). Let h be (-7)\/(1 + -3 + 1). Let d be (4\/(-1) + -1)*-1. Solve o*t + h = w, d*t - 2*w = 2*w - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -6*y**4 + 6*y**3 - 11. Find the third derivative of x(a) wrt a.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(112) + sqrt(112) + 2))**2 - (sqrt(252)\/(sqrt(9)*-2))**2.\nAnswer: 288*sqrt(7) + 4061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -677*q - 1580*q + 800*q - 1976*q in the form a*q + z and give a.\nAnswer: -3433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 5*r. Let g = -2279\/2 + 1115. Find the common denominator of (-2)\/8 + (-61)\/r and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Suppose -19 = -5*m - 2*o, -m = 3*o - 3 - 6. Put x, -1, m in decreasing order.\nAnswer: m, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -0*t + 52780000. Round t to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97240 and 6035?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 2*d)*(698*d - 1286*d + 739*d) + 4*d**2 - 4*d**2 - 5*d**2.\nAnswer: -156*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + 7*b + 2. Let a be l(7). Suppose -a*w + 2*p = -100, -2*w + 4*p - 100 = -4*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 2. Let g = -2.6 - h. Which is the nearest to 2\/3? (a) 2\/7 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2559, 5129, 7717, 10323, 12947, 15589, 18249?\n\"Answer: 9*m**2 + 2543*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -49)\/((-43)\/(-2494)).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220212 (base 3) to base 9.\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 6*j + 1. Let n be c(3). Let g(r) = r**2 + r. Let q(i) = -3*i**2 - 3*i + 2. What is n*q(t) + 4*g(t)?\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 2, -5, 8 in increasing order.\nAnswer: -5, -3\/7, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1967*c + 3*c**3 - 46 - 3922*c + c**3 - 2*c**3 + 1955*c.\nAnswer: 2*c**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1017 + -1017.1. Which is the nearest to 3\/5? (a) u (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:06 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 12*v - 9*v. Suppose -1\/3*a + v + 1\/3*a**2 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from hxhghkxxxnhhkhh?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -20. Let t be (z - -2)\/(0 + 2). Let s(q) = -q**3 - 3*q**2 + 3*q + 4. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/27 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14636, 1\/3, -0.4?\nAnswer: 14636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14985*m + 14022*m + 36594 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p - 3. Let h be l(1). Solve 5*y + 15 = 0, -5*b + h*b = 4*y + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 16292\nAnswer: 91\/8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -339 - -382. Are 44 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5372 divided by -2?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 36*v**2 - 310*v + 442. Determine r(12).\nAnswer: 1906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9351471 is divided by 696.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1) + 23413*-1*1. Let k = 10812 + s. Round k to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, s: 8, u: 6, k: 1, d: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + b)*(6*b**3 + 0*b**3 - 4*b**3 + (-3*b**2 - 2*b**2 + 3*b**2)*(-2*b + 3 - 3) - 3 + 2*b**3 + 3 - 3 + 3 + b**3 - 174*b**3 - 516 + 516).\nAnswer: 165*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 59*l = 252 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(-4*o + 3*o + 40 + 2*o) to the form c*o + m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 1 - 1 + (-4*c**2 - c**2 - 6*c**2)*(-4*c + 4*c + c) - 9*c + c**3 + 9*c.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + (-217965866)\/96. Let v = -2271305 - m. Let t = v + 826. Find the common denominator of t and 151\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158215660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7037 + 7045. Solve 164 = s*z + 204 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 2*u - 3*b, -u - 5*b = 4*u - 1030. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -1845, -6009, -14097, -27417?\nAnswer: -47277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/21 + 52\/105. Let j = -73.6 + 50.6. Let l = -23 - j. What is the closest to l in w, 2, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1813 - -1968. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = -10. Put g, -3, 2, -6 in decreasing order.\nAnswer: 2, g, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 36 = -80. Let h = 73 - v. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -3 (c) -2\/507 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y + 158. Let k be r(-16). Suppose -k = 24*o - 22582. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812843.45 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 3. Let f be y(-3). Let p be f\/(2 + (-5)\/4). Let b be 2 - ((-70)\/(-5))\/7. Solve b = -o + 3*o + p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1357*g + 6 = 2*p + 1353*g, 5*g = 2*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 times 2178?\nAnswer: -189486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 89 and 30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713 + -2703 + 53\/(-1) - (-7)\/1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 4 in decreasing order.\nAnswer: 11, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 8785.\nAnswer: -4\/8785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10265220.65 rounded to the nearest one hundred thousand?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*g - 5*g - 95 = 0, -4*h - 5*g = -58. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52438.87 hours to nanoseconds.\nAnswer: 188779932000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -5, -1\/8, 458?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*r + 1. Let b(f) = f**2 + 1. Let s be b(r). Is 3\/s - (-4010)\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28084 = -10*n + 31916. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -q + 101, -q + 488 - 367 = 3*u. Solve q*z - 109*z = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 15 + (8 - (5 - 1) - -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(-1 - -1). Let s(v) = -4 - 3*v - 3*v**2 + 2*v**2 + x*v. Give s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17326.62898 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96901191 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 5. Let j = 8891.5 + -8891.9. Sort j, p, -1\/3, 0.5 in descending order.\nAnswer: p, 0.5, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*l + 5*l + 83276, -2*l + 6 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 3*m. Let z(y) = -9*y**3 + 12*y + 235. What is 4*c(d) - z(d)?\nAnswer: -3*d**3 - 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -7*b + 9*b - 9030, -4*b + 16 = 0. Let g = 2900 - q. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -23*o - 395. Let u be m(-17). What is the fourth biggest value in -0.3, -2\/265, -0.4, u, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 11 = r, 0 = -2*q + 8 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 60 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - 7 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14046000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:10 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1611152\nAnswer: 322230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -7*d + 630. What is the first derivative of -20 - d*t**3 + 179*t**3 - 78*t**3 wrt t?\nAnswer: 93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 + -247. Suppose 2 = -4*i - 10. Is (76\/(-5))\/(i\/q) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*t - 36, -5*w - 60 = 2*t + 2*t. What is the units digit of -1 - w - (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337 divided by -58478\nAnswer: 337\/58478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.3, 1\/10, -0.6, 0.094?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3215, 12532, 28061, 49802?\n\"Answer: 3106*o**2 - o + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83407.809945 + 83408. Let c = l - 0.19. What is c rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(((h*h\/(h*h\/h**(9\/4)))\/h)\/h))\/h*h))\/h**(-18))**(-2\/69))**(-1\/34) assuming h is positive.\nAnswer: h**(73\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3647457 rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 114 = 3*p, 4*p - 110 = -118 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 948.\nAnswer: 948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 35 = 13. Determine g so that -20*g**3 - 12*g**2 - 15*g**4 + 9*g**4 + d*g**5 + 2*g**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56658134 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88906875*p**2 - 44453456*p**2 - 44453435*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024, -2045, -3064, -4081, -5096?\nAnswer: -6109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 83. Let y = -39.12 + g. What is y rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124*b**2*d**3 + 25*b**2*d*q + 2*b**2 - 770*b*d**3 - 8400*d**3*q - 1 wrt q?\nAnswer: 25*b**2*d - 8400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 3420302?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -10839.\nAnswer: -79\/10839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**2 + 12*b + 47. Let h(r) = 5*r**2 + 4*r + 16. Let g(v) = -17*h(v) + 6*w(v). Let l be g(6). Sort 0, l, 3 in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478350514 to the power of 1\/2, to the nearest integer?\nAnswer: 38449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13439519.\nAnswer: 71, 73, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15955958 (base 10) to base 7.\nAnswer: -252423554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvvvvsm. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41862 divided by -6\nAnswer: 6977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p + 4296 + 4378 - 12928 + 4254.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 61. What is the nearest to -1\/3 in 4, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06404 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 17. Calculate the highest common divisor of o and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 11. Let f be u(-9). Suppose 0 = a + f*a - 78. Suppose -3*k + 3*x = -31 - a, x = 1. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 9*o**2 - 13*o - 24. Let t be c(11). Let h = 12 + t. Calculate the remainder when h is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*u**3 + 5417 + 394*u**3 + 4*u**3 - 10835 + 5418.\nAnswer: 597*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 + v - 1. Let i be -1*0\/(-3 + 0). Suppose 15 = -3*a - i*a. What is the units digit of t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 43 = -5*p, -4*p - r = 5 - 35. Let i be -1 + 1\/(-1) + p. Suppose y + 144 = i*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/12 - (-323)\/228. Let a = 69.3 - 77. Let c = a - -8. Sort c, -2\/3, q.\nAnswer: -2\/3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1052.799997455 + -1052.8. Round s to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let m be (-48)\/(-28) + h\/(-7). What is the second derivative of p**m - 19 + 19 - p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1562\/426 + 3\/9 + 1. What is the greatest common divisor of g and 3715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 - 18020*c**3 + 14364135*c**2 - 3410254900*c + 53911212940 = 0.\nAnswer: 17, 494, 2599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*a + a. Let d = -20 - a. List the prime factors of (d\/4)\/(1\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091806149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-60))\/((-1284)\/20)*2?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110330230 (base 4) in base 6?\nAnswer: 1501124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/3 (c) -4.06275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2730714615?\nAnswer: -2\/2730714615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let m(v) = 2*v**3 + 5*v**2 - 6*v - 5. Let j be m(-5). Let d = -502\/5 - j. Which is the smallest value? (a) d (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*(sqrt(76) + 5 - sqrt(76)) + -1)*-3)**2*5.\nAnswer: -30420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (201\/(-603))\/(2\/(-900)) and 40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 + 765 = 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5 + 0 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1013?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 9. Let j(i) = 5*i - 10. Let o(v) = 2*j(v) + 3*x(v). Let t be o(3). Is (t - (376 - 2))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/560*(-8)\/26\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 + -4) - 43188\/3540.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 - 11*u - 107. Calculate h(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 35. What is the common denominator of (2\/o)\/(1\/278) and -46\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6885 + -6853. Solve -p = 4*i + 4*h, -i + 64 - 42 = -4*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 2. Let o be s(-2). Let f(i) = i**3 - 5*i**2 - i + 1. Let b be f(5). Let n = o - b. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 4*x**3 + 4*x**3 + (-4*x**2 + 2*x**2 + 6*x**2)*(100 + 58*x - 100) to o*x**3 + c*x + z*x**2 + f and give o.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/12 + 4*h**3\/3 - 5*h**2\/2 + 2*h. Let a be w(-14). List the prime factors of a - (-2)\/(1 + 0)*-2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:55 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*i - i + 13440. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 4*j - 4. Suppose -3*s = -4*z + 84, -2*z + z - 35 = s. Let l be (-3)\/8 - 140\/s. Let x(v) = -2*v**2 - 3*v + 3. Calculate l*x(w) + 3*a(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 2*k + 1. Let j be v(-1). Suppose 3*z = 15, x - z + 2*z = 5. Solve -3*g + 9 + j = x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/((-10)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, o: 1, z: 1, r: 3, m: 7, p: 2}. Give prob of picking 2 m.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13189690 rounded to the nearest ten thousand?\nAnswer: -13190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341441564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 32 = -7*l. Suppose l*p = -6*p + 64. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/105)\/(3 + (-47)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.6 - -15.4. Let u = 67 - v. Let r be 0\/(-2) + 1\/(-2). Sort r, 5, u, 4 in increasing order.\nAnswer: r, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**2 - 9*u + 3. Let r(x) = 4*x**2 - 3*x + 1. Let w(g) = -6*p(g) + 17*r(g). What is the tens digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - q - n = 10, -q + 3*n = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 35*a**2 - 33*a + 41. Determine w(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (7 + 5 + 3 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - 61 - (6 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4399, -8884, -13369, -17854?\n\"Answer: -4485*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 660006 = v, v - 2640052 = -3*v + 2*t. Suppose j - 3*m = -v, 5*j = 7*m - 2*m - 3300020. What is j rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/11, 4\/9, 1313, -1, -2\/5, 3, 1?\nAnswer: 1313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -620182.333902287 + 5.\nAnswer: -620177.333902287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/156)*(-40)\/(-150).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 1 + 1)*(3*p**2 + 2*p**2 + p**2) + p**3 - p**3 + p**3 + 1 - 12*p**3 - 1.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {q: 7, n: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2485 - 2.7515. What is the nearest to -1\/2 in 0.1, 0.3, h, -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30312219389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16072*l - 6443*l + 20996*l + 1035*l in the form q + i*l and give i.\nAnswer: 31660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*j + 12. Solve 4*r - 2*w + 6*w - 12 = 0, r + j*w - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 15*u**2 + 16*u + 18. Let b be o(-22). Let r = b - 1211. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o - 25. Suppose 0 = -6*a + p, -9*p = 5*a - 11*p. Calculate j(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -5\/2*f**3 + 0 + 0*f**4 + 0*f**5 + 0*f + 0*f**6 + 49*f**2 + 1\/21*f**7. What is the derivative of g(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and 59\/513?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 2 + 0 - 7162*d**3 - 3970*d**3 - 7890*d**3.\nAnswer: -19022*d**3 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/5)*f)**(1\/26)*(f*f**(1\/24)*f)\/f**(1\/9) assuming f is positive.\nAnswer: f**(9359\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - 1)*-4*6\/72. Solve 20 = -4*u + 4*m, u - m + 25 = -h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 8)\/(-2 + 0). Suppose 4*d + 13 = 4*x - 7, 4*x + 2*d = -10. Sort 1\/5, x, v in decreasing order.\nAnswer: 1\/5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than 12226?\nAnswer: 12225.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l. Let t(b) = 2*b**3. Let g be t(1). Let h(c) = -g*c + 2 + 4 - 1 + 8. Let u(x) = -x + 6. Let v(m) = 6*h(m) - 13*u(m). Calculate v(n(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140122005 (base 6) in base 12?\nAnswer: b36305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-132)*-3 + (-96)\/(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 5*x + 369. Let j be l(0). What is the third smallest value in j, -0.4, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 5*j - x, -13 = j - 4*x - 102. What is the remainder when j is divided by 58?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose 3*q + c*q - 235 = 0. Suppose 15 + 17 = 2*m. What is the remainder when q is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103 (base 4) to base 8.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5465*u + 21820*u - 5434*u - 5424*u - 5451*u.\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**5\/150 + f**4\/60 - 9*f**2\/2 + 7. Let g(y) be the second derivative of b(y). Factor g(d).\nAnswer: -2*d*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbibwbwiibbbhubbib. Give prob of sequence wi.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = o - 3, 0 - 1 = r - 3*o. Suppose 4*w - 3*p = 87, 4*w - 73 - 29 = -r*p. Let l be (4\/(-78))\/(16\/w). Are 0 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 54 = -42. Suppose 4*x + 0*x = f. Suppose 54 = x*a - a. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(272) + sqrt(272) + (sqrt(272) - ((sqrt(272) - (sqrt(272) + -1) - sqrt(272)) + 1)))**2*-1 - (sqrt(272) + 1)*-3*4*5.\nAnswer: -4301 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 95*v - 3. Determine d(23).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 8:38 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-80)\/(-28))\/((-51)\/4641). Solve 6*z + 23 + b = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5290 and 36202?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 69, 245, 597, 1185, 2069?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let g(n) be the first derivative of n**2 + 16. What is p(g(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -1\/35*i**7 + 4\/75*i**6 + 0*i**3 + 0*i**2 + 0*i**4 + 0 - 1\/50*i**5 - 23*i. Let x(g) = 0. Calculate g.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = z - 4, -5*z - 5*k + 14 = -8*k. Is 18124 - z - (-15 + 19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 963 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 25*b = -12*b + 520 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13*r + 530 = 0. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**2*t**2*y + 5*m**2*t*y + 7*m**2 + 2*m*t**2 - 43*m*y - m wrt m?\nAnswer: -24*t**2*y + 10*t*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3\/2, -4, 236, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2989, 6081, 9169, 12253, 15333, 18409?\n\"Answer: -2*r**2 + 3098*r - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 9*j - 3. Let d(w) = 2*w**2 - 4*w - 2. Let p(q) = 5*d(q) - 2*f(q). Determine p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 - 229 - (0 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1426 + 1453 + (19425\/(-144))\/5\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z + 4*z + 8*z)*(-6*z + z + 4*z) + (z - 2*z + 4*z)*(4*z - 2*z - 4*z)*(2 - 2 + 17)*(4 - 4 + 6) to g + k*z + q*z**2 and give q.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661546 is divided by 102.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from zzggzzzzzggzkgkkk.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 greater than -356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**4\/4 - 4*r**3 - 9. Find s such that k(s) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 10*f**2 - 7*f - 9. Let n be u(9). Let y = 25 - 13. Suppose -x - n = -y. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177265168 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m**3\/6 - 6*m**2 - m. Let t(l) = l**3 + 7*l**2 + 6*l + 9. Let n be t(-6). List the prime factors of b(n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - k = -65 - 212, 4*k = -5*y + 338. List the prime factors of (-1288)\/y*5\/(-2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) + 0)*5 + (sqrt(2) - -5*(sqrt(72) - sqrt(2))) + -1 + 3)**2.\nAnswer: 372*sqrt(2) + 1958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 2*j)*(-66*j**3 + 66*j**3 - 3*j**4) - j**5 + 5*j**5 - 3*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728, 710, 692, 674?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -370*d**2 - 178*d**2 + 111*d**2 to i + l*d**2 + t*d and give l.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by -6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/28*76\/19.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.74 + -0.02. Let t = -3.7 - i. Let z = 99\/2 + -51. Put z, 1, t in increasing order.\nAnswer: z, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63176 and 16.\nAnswer: 126352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82853 divided by -1?\nAnswer: 82853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972507?\nAnswer: 3, 179, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 7*d + 50. Let l be o(11). Suppose 196 = -p - l*p. List the prime factors of 8\/p - 870\/(-7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u\/(u\/u**2))))**33\/(u**(-2\/3))**47*(u*u**(2\/5))\/u*u*u**8\/u*(u*u**(-1\/5))**(-14) assuming u is positive.\nAnswer: u**(923\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + s - s)*(-2 + 1 + 0)*(0 + 6 - 3) to the form u + o*s and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 62 = -75*b + 79*b, 275*q + 3*b = -745 + 2159 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619791, 1239576, 1859361, 2479146, 3098931?\nAnswer: 3718716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + 7*q**2 + 5*q - 6. Let y(v) = 2*v**3 - 4*v**2 - 3*v + 3. Let m(f) = 3*x(f) + 5*y(f). Calculate m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 131, -10, 651, 2, 3 in increasing order.\nAnswer: -10, 2, 3, 5, 131, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -6*sqrt(468) + (sqrt(1573) + 3)**2.\nAnswer: 30*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123212605 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -115, -1, 2.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s + 20*s - 336 = 6*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3615012, -9 in increasing order.\nAnswer: -3615012, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 2010110001110?\nAnswer: -2010110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 greater than or equal to -7432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 4*c = 0, -c = -3. Let g be (-2 - (-14)\/8) + (-39)\/(-12). Let h = -182 - -177. Sort u, g, h in ascending order.\nAnswer: h, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175718.\nAnswer: 2, 103, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.6 - 41.4. Are r and -2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/581133 and 11\/72.\nAnswer: 13947192","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*z + 2*c + 19, -2*z + 19 = 3*c. Calculate the common denominator of ((-6)\/z)\/((-231)\/(-1330)) and 81\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from narbrnrrnr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22137 divided by 41?\nAnswer: 22137\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 + 261*f**2 + 6834*f + 39240 = 0.\nAnswer: -12, -10, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**4 + 4*s + 2*s - 11*s wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y. Suppose y = -2*f, 4 = -b - 2*f - 0. Is (-51)\/b + (-3)\/(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 344\/5 (b) -0.2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 less than -2?\nAnswer: -1.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54689 is divided by 217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2. Let h(t) = -170*t. What is f(h(a))?\nAnswer: -86700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 5*p**2 - 5*p**2.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1882*a - 19212 - 11825 + 182009 = -1400*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*z + 23 + 100 = 0, 0 = 5*z - 5. What is the least common multiple of 21 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211445002.\nAnswer: 2, 3, 13, 211, 134369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2365, 2330, 2269, 2170, 2021, 1810, 1525?\n\"Answer: -2*i**3 - i**2 - 18*i + 2386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11236545 (base 10) to base 7\nAnswer: 164336415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11788 divided by 28\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/(x*x**(-2)*x)))**38*x\/x**(-3\/5)*x*x\/(x**(-12)*x*x) assuming x is positive.\nAnswer: x**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.7 - -9. Let y = 1.7 + k. Sort y, -4, 3 in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64218 and 2.99?\nAnswer: 64220.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 78?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -23672.586474 and -0.10292.\nAnswer: -23672.689394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-3) + 2108\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8)\/l**1)\/(l\/(l*l**(-1\/10))*l)**0 assuming l is positive.\nAnswer: l**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k - 5*r + 19, -19 = -2*k - 3*r. Let v be 2\/3 - 20\/12. List the prime factors of ((-44)\/8)\/(v\/k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/35 + t**3\/2 + 5*t**2. What is the first derivative of n(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 39*f = -2. Let v be ((-3)\/f)\/3 - (-3 - -1). Sort -0.02, v, -4, -3\/5 in ascending order.\nAnswer: -4, -3\/5, -0.02, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 2 + 2*m**2 - 2*m**2 - m**2 + 2*m**2. Let y be h(5). What is the greatest common factor of y and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -0.64?\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 7*o**2\/6 - 5*o\/6 + 1\/6.\nAnswer: -(o - 1)**2*(3*o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 7*t**2 - 7*t + 7. Let q(m) = -m**3 + 2*m**2 - 2*m + 2. Suppose 0 = -3*v + 8 + 13. Let b = 0 + v. Determine b*q(x) - 2*r(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28.6. What is the closest to 2 in -0.2, i, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20110112202 (base 3) to base 13\nAnswer: 45bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1395 and 0.4.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u**3. Determine w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205434 is divided by 68422?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from ifdeiiefeeiefdiife.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20650496 and -23\/424?\nAnswer: 20650496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2982740 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 16.6. Which is the biggest value? (a) 3 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 - 2*r**3 + (r**2 - 2*r**2 + 4*r**2)*(-3*r - 2*r + 3*r) + 193*r + 11*r**2 + 2 - r**3 - 219*r + 25*r.\nAnswer: -5*r**3 + 11*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1760 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -4.56.\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-7 - (4 + 1 + 5)) - 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295252 plus -4?\nAnswer: 295248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.64138 litres to millilitres.\nAnswer: 2641.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 0 - 9\/4*k - 3\/4*k**3 = 0. What is k?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v + g - 26, -4*g = -3*v + 57. Let q be 21 - ((-14505)\/(-765) + (-4)\/(-102)). Calculate the highest common factor of q and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(12*5\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307\/126 - 31\/14. Let v = 4.07 + -0.07. Let x = 0.0088 - 0.2088. Which is the fourth smallest value? (a) l (b) 3 (c) x (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16+-0.711\nAnswer: -16.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.8? (a) -22 (b) 0 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + -1. Let f = n - -30.91. Let d = f + 0.07. Which is the closest to d? (a) -0.2 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 502, 752, 1002, 1252?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/7 + 11\/7. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*s + 483*s + 3531 = 0 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029 divided by 4371.\nAnswer: -343\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768851, -1537704, -2306557, -3075410, -3844263?\nAnswer: -4613116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891*n - 888*n - 24 = 0. Let k be (-474)\/(-8) + (-3)\/12. Let r = k + -29. Calculate the remainder when r is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18 + -2 + (-8)\/(-1) + -3. Let f be ((-3)\/g)\/(2\/230). Solve 0*t + o + 4 = t, 0 = 3*t + 4*o + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let u(b) = 9*b + 3. What is -u(q) + 6*y(q)?\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:58 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(11) - (sqrt(55)\/sqrt(5) + 2) - sqrt(11)) + -3)**2.\nAnswer: 8*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 5*g - 8 + 2*g + g**2. Let o(k) = k**2 + 616*k + 53661. Let x be o(-105). Calculate s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.4 - 13.5. Let o = 41.1 + b. Let d = o - 43. Put -0.4, 0.3, -19, d in ascending order.\nAnswer: -19, d, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 140, 4, 0.5, -1, 3\/2 in decreasing order.\nAnswer: 140, 4, 3, 3\/2, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 9. Suppose 0 = -t*q - 0*q - 10. What is the units digit of (-4)\/8 + (-23)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 31*f - 5. Is q(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v + 896 = -828 - 248 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 6}. Give prob of sequence aoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656424.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07327? (a) 3\/7 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*d - 220 + 238 = 0, 40 = 5*d. Let r(g) be the first derivative of 3\/11*g**2 + 4\/11*g + 2\/33*g**v - 34. Determine b, given that r(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6688 and 43912?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 21 - 1058*t + 7 - 1219*t + 3 to n + q*t and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1903, -1900, -1885, -1852, -1795, -1708, -1585?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 15) to base 3.\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.0076407 to 1 decimal place.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-143 - -123) + -78)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m. Let a(s) = -49*s + 15*s + 22*s + 15*s. Calculate 28*a(z) - 5*c(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4293984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 861?\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4611029 + -0.031\nAnswer: -4611029.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 - 9*x**2 + 11*x - 6. Let d be j(2). What is the closest to -3 in 0, d, 2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2036 + -168985\/83. Sort j, 2\/5, -4 in decreasing order.\nAnswer: 2\/5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmqmwymymymmmm. Give prob of picking 1 w and 3 y.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = -4*f + 16, 2*f = 6. Solve -4*n = -s - 9 - 1, n - t*s + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2 + 2*v + 3. Let l(j) = j. Let h be l(6). Does 19 divide o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58627800 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 80*v + 1284. Let i be q(-16). Solve 8 - i = -4*d, -4*d = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154128 divided by -39?\nAnswer: -3952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 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: Let b(a) = -a. Let g(r) be the second derivative of -5*r**3\/6 + r**2\/2 + 4846*r. Give b(z) - g(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -27*j + 7 + 9*j**2 + 63*j - 36*j - j**3. Let s be h(7). Suppose s = n - 114. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 99?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-26))\/(-2) - (-5)\/(1040\/344).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -784 divided by 2\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8253 * 0.5.\nAnswer: 0.41265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94677?\nAnswer: 3, 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 31993 = 3*a, 4*a + 5*t + 0*t = 42656. Suppose -4*w = -a - 20081. Let i = w + -153649\/20. Find the common denominator of i and -69\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*x + 2*x + 65, -2*w - 2*x = -86. What is the highest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 j when three letters picked without replacement from jhcrrrrrjrjrjrcj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (100 - 104 - (-26)\/2) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 261*m**2*x**3 + 2*m*x**3 + 18*m*x**2 - 6*x**3 wrt m.\nAnswer: -12*m**2 - 522*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 2 w when four letters picked without replacement from wgvwvwgggw.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -1 + 10. Suppose -h = q - 1. What is the least common multiple of 7 and (-3 + h\/(-8))*-4?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9 - ((-2 - 51) + 55)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -192*s**3 + s**2 - 38*s - 39. Calculate w(-1).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 2. Suppose -y = 2*q + 3*q + 19, 2*q + 22 = -4*y. Let z be 1 + (-2 - (2 + q)). What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 9. Give h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 68156.\nAnswer: -1\/68156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 * 3.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -80*a**2 + 1. Let g(b) = 500*b - 14. Calculate g(k(h)).\nAnswer: -40000*h**2 + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1112\/(-3892)*(-2)\/12.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 18 + 3*o**2 + 96 - 72 - 4.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -826, -842, -862, -886, -914, -946?\n\"Answer: -2*s**2 - 10*s - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -578 in ascending order.\nAnswer: -578, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/5 - (-2159)\/1020 and (4059\/574)\/((-10)\/(-7) - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26631992 and -41.7.\nAnswer: -26632033.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 u when four letters picked without replacement from hdsuuduu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101111346.\nAnswer: 2, 3, 7, 802471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**4 + 7*o**4 + 4*o**4)*(-1 + 0 + 3) + o**3 - 2*o**4 - o**3 - 2*o**2 + 2*o**2 + 2*o**4 + (o**4 + 2*o**4 - 2*o**4)*(4 - 3 - 2).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -67*n - 6. Let o(s) = 170*s + 13. Let y(d) = 5*g(d) + 2*o(d). Let m(b) = -55*b + 2. Determine y(m(v)).\nAnswer: -275*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 12 = -d + 2, -5*d - 485 + 245 = 5*g - 250 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Let f(x) = -1 - a - x + 3*x - x. What is f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:57 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 157625*a + 315230.\nAnswer: 5*(a + 2)*(a + 31523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence far when three letters picked without replacement from {a: 1, f: 1, r: 1, c: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w**2 - w + 3. Suppose 4*s + 7 = 19. Suppose -s*h - 1 = -25. Let i = -5 + h. Determine x(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-300)\/25)*(-5)\/95?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321156969?\nAnswer: 3, 7, 47, 107, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 1. Let x be t(1). Let l = 2 - -2. Find the third derivative of -3*q**2 + 4*q**2 + 3*q**l + q**x wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72425349, -144850696, -217276043?\nAnswer: -289701390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2072*v + 2085*v + 624 = 0, -3*o = o + v + 48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:32 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**5\/20 - y**4\/16 - y**3\/12 + y**2\/8 - 24. Factor w(o).\nAnswer: o*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2657?\nAnswer: -2657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 521440034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i + 2*l = 2, 4 = 2*i - 4*l. Let m(f) = -4*f**3 - f**2 + 15*f - 5. Let a be m(i). What is the greatest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2382519 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 10*f**2 + 158*f + 911. What is r(-6)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.54557 rounded to one decimal place?\nAnswer: 60.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:53 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + m**4 - m**4 + (0*m + m - 2*m)*(m**3 + m - m) + 4*m**4 - m**4 - 5*m**4 - 4*m**4 - m**4 - m**4.\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11136122 or 11136127?\nAnswer: 11136127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 148740473.8185.\nAnswer: -148740492.8185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196 - 36?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 173532591 divided by -2444121\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 17) + -6 + (-3 - (-17 + 7)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4 - 8. Is (-1 - 886\/v) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -12*y + 7259. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 537*a**2*k**2*x**3 + a**2*k - 2*a**2*x - 12*a*k**3 + a*k*x**3 - k**3 + 19*k*x**2 + 74*k wrt k.\nAnswer: 1074*a**2*x**3 - 72*a*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142250 + 823750. Suppose -o = 34*a - 32*a. What is a rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/2 - (-12)\/8. Let q be ((-44)\/(-55))\/((-4)\/j). What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.445864 + 6.0458646. Let x = r + -1.6. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - h**4 - 26*h**3 + 24*h**3 + 7*h + 2*h**2 + 40 to the form z + g*h**3 + o*h**2 + n*h + t*h**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-44)\/(-12))*6. Suppose 2*h + 4*y = 44, 2*y + 86 = 5*h + 6*y. What is the lowest common multiple of h and (-4 - -1) + 9 + n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*z - 18273, f - 6075 = -13*z + 9*z. List the prime factors of f.\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q**2 - 8*q + 10. Let g be s(3). Suppose -3*t = -3*z - 8*t + 30, -3*z + 33 = 4*t. Solve g*m = -m + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -17, 53, 183, 391, 695, 1113, 1663?\n\"Answer: 3*w**3 + 3*w**2 - 2*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**2 - 9*t + 9. Let k(v) = 5*v**2 + 2*v - 2. Determine -9*k(o) - 2*w(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5585, -1\/3, -36\/5?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-9)*((-72)\/28)\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 565 - 3a?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 12. Let x = f - -24. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 - 7*r + 38. Let y(u) = u**2 + 49*u + 141. Let i be y(-46). Let h(z) = 2*z**2 + 3*z - 19. Give i*a(m) + 7*h(m).\nAnswer: -m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34088*z**2 + 8519*z**2 + 8521*z**2 + z**4 + z**3 + 8527*z**2 + 8520*z**2 - 2*z to f + i*z**2 + q*z**4 + w*z**3 + b*z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321293250?\nAnswer: 2, 5, 19, 43, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 10*q**9\/63 - 3*q**8\/112 + 37*q**5\/60 + 7*q**4\/24 - 16*q**2 - 8. What is the third derivative of k(w) wrt w?\nAnswer: 9600*w**3 - 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/19 + 20*k**4\/19 + 6*k**3\/19 - 504*k**2\/19 + 1080*k\/19 = 0 for k.\nAnswer: -5, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 67*n - 16)*(-n**2 - 1 + 1)*(-3*n + 6*n - n).\nAnswer: 134*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5195684179 to the nearest one hundred thousand.\nAnswer: 5195700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -7\/2*u**2 + 0*u + 0*u**3 + 1\/24*u**4 - 12. Let h(t) be the second derivative of r(t). Let x(q) = q**2. Determine x(h(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -42*i - 10. Suppose -210 = 5*d + 16*d. Let y be v(d). Round y to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v + 7. Let x be j(7). Suppose -4*a + x*a = -204. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/((-3072)\/48))\/(14*1))\/((-13)\/(-8)).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 5 (b) 16 (c) 1 (d) 0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12520 - 12524. What is the closest to -26\/9 in -1\/2, -24, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 625 - 89 = 0. Suppose -m + k = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*b - 5. Calculate the greatest common factor of b and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d + 1. Let j(q) = 9560 + 10*q**2 - 9559 + 8*q**2. Calculate j(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33323 - -33448. Solve -109 - o = -78*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/11 + 16*u**2\/11 + 18120*u\/11 + 9792 = 0. What is u?\nAnswer: -88, -6, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*f**3*l**2 - f**3 - 5*f + 2*l**3 + 2*l**2 wrt l?\nAnswer: 28*f**3*l + 6*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 17*x**2 + 8*x + 11. Let d be h(9). Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (131\/2)\/(7\/14). Let c = 255 - i. Suppose 0*r - 4*r + c = 0. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 62*h**3 - 5*h**2 + 4*h - 12. Let v(m) = 126*m**3 - 10*m**2 + 9*m - 27. Calculate 9*u(a) - 4*v(a).\nAnswer: 54*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 - 11*p - 3. Let l be v(10). Let m = -1 - l. Solve 6*u = 2*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 + 8*w - 10. Let q be b(5). Let f(k) = -q + 5*k + 5 - 16*k. Let a(s) = -2*s. What is f(a(o))?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2180135 is divided by 1366?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102828 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:36 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 25. Let b(y) = -y**3 - 24*y**2 + 53*y + 31. Let i be b(-26). What is the highest common factor of i and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 19*l**2 + 22*l - 20. Let m be r(20). What is the greatest common factor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 1. Let g(b) = 27*b**2 - 3*b + 3. Let z(r) = -g(r) + 3*k(r). Let q(u) = -2*u**2. What is q(z(a))?\nAnswer: -1458*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4047 - -1622260?\nAnswer: 1626327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25, 1, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 2434*o - 4887. Determine n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4812.953 - -4816. Let x = m + 0.953. Which is the nearest to 1\/4? (a) -1 (b) 2\/5 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 45. Suppose 21*u = q*u + 4916. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 - 328*h**3 - 9906*h**2\/5 - 4976*h\/5 + 3304 = 0. What is h?\nAnswer: -5, -2, 1, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 564?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10594636*y**3 - 2*y + 24640919 wrt y.\nAnswer: 31783908*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 48*y - 18*y + 342 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 g when four letters picked without replacement from iggiiigiig.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5 - 7*d**2 - 6*d + 2 - 6 - d**3. Calculate j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 2. Suppose -w - 4*n = -2 - 9, 13 = -w + 2*n. Let y = -3 + 4. Put g, y, w in decreasing order.\nAnswer: y, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785016 is divided by 557002.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 9. Let h be g(7). Calculate the common denominator of 19\/5 and 40\/h*(-14)\/(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c + 30. What are the prime factors of d(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = 3*f. Let t = 11 - 9. Suppose t*o - o = 3. Put o, f, -5 in increasing order.\nAnswer: -5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-26)\/(k*k**(-3)*k))\/(k\/(k\/k**19)*k**(7\/9)) assuming k is positive.\nAnswer: k**(-403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 235973.07 months in centuries?\nAnswer: 196.644225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -460 + 516. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 552 + 465 = -1011 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903831917?\nAnswer: 149, 39623033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 9*x + 2. Let g(h) = 2*h**2 - 13*h + 1. Let c be g(9). Suppose 0 = u - 6*u + 4*m + c, -4*m + 4 = 0. Is n(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.4 - -63. Let q = t - -0.4. Which is greater: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5065 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/96 and (-4)\/22 - (-3934)\/(-4620).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 - -2. Let q = 3 + s. What is the closest to -0.1 in -1, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -32 - 7 + 28*a + 13*a + 4*a**2 - 58*a. Is p(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 31*a**2 - 145*a + 3. What is m(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186295 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n**3 - n**2 - 22*n + 10. Is d(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 39?\nAnswer: -31\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(208) + sqrt(208) + 1*sqrt(208))*3 - (-5 + -1 + sqrt(208) + 2*sqrt(208)*6))**2.\nAnswer: -1488*sqrt(13) + 199920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -800.5 + 716.5. Which is smaller: t or -10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -673247\/58 + 11608. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112820333*a**2*r**3 - 2*a**2*r**2 + 31687*a**2*r + 14*a**2 + 2*r**4 + 9*r wrt r?\nAnswer: -676921998*a**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 23. Suppose z*y + 16 = 0, -2*r + 2*y = -5*r - 11. Let c be r\/((-4)\/(-8) - 1). Solve 4*j = 0, c*j - 6*j = f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65530837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 0, 95 in ascending order.\nAnswer: 0, 2, 36, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.2529 weeks to milliseconds.\nAnswer: 433794553920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56903 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80212.92 weeks in minutes?\nAnswer: 808546233.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let p(q) = q**3 - 8*q**2 + 2*q + 11. Let d(u) = 5*m(u) - p(u). Let j be (1 - 22\/(-6))*105\/70. What is d(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -14. Let d = 24 - q. Is 1780\/d*(-4)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 266*h**2 + 5376 - 5376 + 3*h**2 - h**2 - h**2 - 2*h**2 - h**2 + h**2 + (-2 + 1 + 2)*(-4*h**2 + 2*h**2 + 0*h**2).\nAnswer: 263*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 95*c. Let s(x) = 2*x**2 - 53*x. Determine p(s(z)).\nAnswer: 190*z**2 - 5035*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 1. Let w(x) = 4*x + 3. Let z(g) = 5*q(g) + 3*w(g). Give z(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**2 + 4*o - 26. Is l(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680780?\nAnswer: 2, 5, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*l - 2 + 40 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 98 = -2*u. Suppose -3*x - 4*q + 78 = 0, 0*x + 81 = 3*x + 3*q. Let d = u - x. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2. Let g(i) = 15*i + 2. Let q(p) = -676*p - 91. Let s(t) = -91*g(t) - 2*q(t). Give s(c(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2. Let b(z) = 78*z**2 - 22. Determine b(s(j)).\nAnswer: 2808*j**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 172771\/51 + (-10)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*-3*((-60)\/15)\/(-24)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(-2\/3)\/i))\/i)\/i*(i*i\/(i\/((i**(-3\/5)\/i)\/i*i)))\/i*i)\/(i**(1\/5)\/i**(1\/6)))\/((i**(-5)*i*i*i**(-2\/7))\/(i*i**1)**(-11)) assuming i is positive.\nAnswer: i**(-3923\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914.\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 24*r**2 + 47*r + 31. Suppose -64 = -3*k - 2*t, -k = -3*k + 2*t + 46. Is j(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229759218 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 908?\nAnswer: 11804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834064?\nAnswer: 2, 7, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.2 - -1.8. Let w = b - 30.8. Let c = 197\/480 - 1\/96. What is the nearest to 2\/7 in w, -5, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16101167 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 6. Suppose -q + s = -2. Suppose -q*j = -2*j - 27. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**2 + u - 2. Let n be k(1). Is 3 a factor of ((-3)\/n)\/(1 + 68\/(-69))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -4, 2, 8?\n\"Answer: 6*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 306 = 23*u. Is 51 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 16*w**2 + 0*w**3 + 0 - 1\/12*w**4 + 0*w. Let n(r) = -6*r**2. Calculate n(b(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/1136)\/(5\/(-15)*-1)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 3 - (2 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4051*d**4*h - 2892*d*h + 435060303*h wrt d.\nAnswer: -16204*d**3*h - 2892*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -32*d + 221. What are the prime factors of t(-10)?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w. Suppose q - 4*o - 7 = w, 0*q + 14 = 4*q - 2*o. Suppose -q*m = 5*l, 3*l + m = l + 1. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) 1\/4 (c) -1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237139?\nAnswer: 3237139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 443959, 443961, 443963?\n\"Answer: 2*t + 443957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**3 - 31 + 31.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 156725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = k. Suppose -5*t - 10 = -5*i + 10, -5*i = -t - 24. What is the second derivative of -46*l**i - k*l + l + 39*l**5 wrt l?\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410 (base 5) to base 3.\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.4 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8862126 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1591\/(-301) + (-2)\/(-7). Let g be (-2 - 36\/(-30))\/(2\/z). Factor -3\/2*y + 1\/2 + 0*y**2 + g*y**3.\nAnswer: (y + 1)*(2*y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -184*r - 226. Let b(h) = -2*h + 23. What is a(y) + 10*b(y)?\nAnswer: -204*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173447169*d**5 - 109628099*d**2?\nAnswer: 10406830140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 2 = i, -3*i - 6 = b. Let o be ((-2)\/(-4))\/((-46)\/(-184)). Suppose -3*n - n - o*d + 44 = b, d = 2. Solve a - 3*a - n = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-18) - (-2)\/6. Let c(z) = 5*z**2 - h*z**2 + 3 - 8 - 6*z. Determine c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.001.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11883495, -11883494, -11883493?\nAnswer: -11883492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 16125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 64968243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*o**2 - 76 + 269 + 41*o**2)*(-1 - 6 - 1) to the form b*o**2 + q*o + w and give w.\nAnswer: -1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424084 to the power of 1\/2, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 + 6*l - 3. Let s be m(-8). Suppose s = -z - 3*p - 0*p, -28 = -4*z + 4*p. What is the derivative of 1 + 4*n**4 - z*n**4 - 3 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3886593616.\nAnswer: 2, 313, 776077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-8) + 4)*-1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, f: 1, z: 1, b: 1}. Give prob of sequence flb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 5151*u\/5 - 5154\/5.\nAnswer: 3*(u - 1718)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 5224752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*-6 - -2. Let o(q) = -18110*q + 3*q**2 + 18119*q + 0*q**2 + 9 - 2*q**2. What is o(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*l - 0*l + 1230, -3*i = 2*l - 1238. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 123)\/(2 + -4). Let r = -162\/157 - 38131\/628. Let n = r - g. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -128367 and 32.3?\nAnswer: 128399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d**36\/d)\/d*d\/(d**11*d*d*d)*d*d**(13\/4)\/d*d*d**32 assuming d is positive.\nAnswer: d**(233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 21 - 6, 215 = u - 2*i. Suppose 5*c + 19 = u. Let a = -16 + c. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/76384 and -123\/357616.\nAnswer: 7867552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8632*m + 60514. What is a(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 1. Let w(z) = 3*z**2 + z + 4. Let d(a) = -4*p(a) - w(a). Let i(q) = -2*q. Let r(u) = -2*d(u) + i(u). Let h(g) = -46*g. Give h(r(t)).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37, 42, -5, -2 in decreasing order.\nAnswer: 42, 37, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 60153 divided by -553\nAnswer: -60153\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23097 - 23102. Let u(t) = 57*t + 278. Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, b: 10}. What is prob of sequence ttb?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/5))**(3\/2))**(-18)\/(((i\/i**(2\/7))\/i)**(3\/16)*(i*i\/i**(3\/4))\/i**5) assuming i is positive.\nAnswer: i**(-9519\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 - 34*q + 8. Let w be d(-5). Suppose 2*m - 72253 = -3*v, 0*m = -w*v - 3*m + 72252. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 7. Let v be b(-5). Suppose r - v = 5*r. Let z(k) = -k**3 - 2*k**2 + 4*k + 3. Let t be z(r). Solve t = 2*g - 2 - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4)**(8\/9)\/(((f\/f**(2\/19))\/f)\/(((f\/(f**(14\/5)*f))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(641\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 161 = -197 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.5 (c) 6\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-12) + 261\/4?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122473 is divided by 1843?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18789832.\nAnswer: 2, 2348729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 z, and 1 l when four letters picked without replacement from pzlzlpllpzwpl.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*q + 17 = 0, 11 = -3*p + 2*q + 13. Solve -i = p*h - 16, -i + 6*i + 40 = 4*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.02 - 0.72. What is the third biggest value in -2\/23, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (217\/(-168))\/((-109)\/(-654))?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -447, -4, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -38*r**2\/5 - 84*r\/5 = 0?\nAnswer: -42\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.6 + -19.1. Let j = 0.1 - -0.3. Put j, t, -3 in descending order.\nAnswer: t, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 4*g**2 - 14*g - 11. Let i(y) = y**2 - y - 18. Let z be i(4). Let b be k(z). Let n(x) = 2 + 3 - 4 + 6*x. What is n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 17*t + 4*t)*(-3*t**2 + 0*t**2 + 5*t**2)*(2*t + 2 - 2 + (-2 + 3 + 1)*(t + 0*t + t) - 3*t + 0*t + 2*t).\nAnswer: -170*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from gzgnlzzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 + 52 + 79)*(-15*r - 13*r - 4*r).\nAnswer: 1632*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -2. Let s be 2146\/6 + 2\/z. Let f = s - -199. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 34*n**2 - 20*n + 285. Let t be g(-18). Let l(u) be the second derivative of u**5\/10 + u**4\/4 - u**3\/2 + u**2\/2 - 2*u. Give l(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057 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: Let s = 646323198119 + -646323198422.000000179. Let v = 303 + s. What is v rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/12 + 4*l**2 - l. Suppose 0 = 4*j - 23 - 1. Let s(k) = 2*k**2 - 17. Determine j*s(r) + 13*z(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10153.61ng to kilograms.\nAnswer: 0.00000001015361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 14679?\nAnswer: 5\/14679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**2 - 5*r. Suppose 4*b - 6*b - 8 = 0. Let s(u) = 2*u**2 - 3*u**2 + 2*u**2. Let g(q) = b*s(q) + x(q). Find the second derivative of g(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16268\/415)\/98)\/(66\/20).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 3. Let x(p) = -p**3 + 21*p**2 - 20*p - 6. Let o be x(20). Calculate i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.81 + -0.19. Sort -3\/5, l, 2\/17 in descending order.\nAnswer: 2\/17, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g = 95*g - 72. Let b(n) = 2*n**2 - 14*n - 14. Let z be b(g). Solve 2*o + 3*p + 16 = 4*o, 0 = 4*o + z*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31662168 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824295.3 grams to nanograms.\nAnswer: 824295300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63984318810 - 6?\nAnswer: 63984318804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*1*11120\/10008?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/10 and -107\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -36, -1, -3.\nAnswer: -36, -3, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:10 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.1. Let v = 284\/473 - 95\/946. Which is the closest to v? (a) -0.2 (b) 1\/3 (c) -2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -4, 0, 1\/5 in increasing order.\nAnswer: -145, -4, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 371 = 3*u, -3*u + 2333 - 1980 = 5*f. Let h(j) = 43*j**2 - 2*j - 1. Calculate the remainder when u is divided by h(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(70)*2 - sqrt(70))\/(-2*sqrt(160) - sqrt(160) - sqrt(160)) + (6*(-1 + sqrt(63)) - (sqrt(63) - (sqrt(63) + 0 + 1)))**2.\nAnswer: -2935*sqrt(7)\/16 + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + (4 - -21). Suppose -5*g = 3*f - 32 - b, -2*f = -g - 59. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.122 + 0.622. Let q be 8\/(-6)*27\/(-48). Suppose 3*y - 4*f + 6*f + 23 = 0, 4*f = 3*y + 17. What is the third biggest value in y, q, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 12*q - 6. Let j(s) = -4*s**2 - 13*s - 6. Let b(v) = 3*c(v) - 2*j(v). Let r be b(-9). Solve -5*a + r = -4*p, -5*a - 2*p = p + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 6. Let j(c) = -5*c + 14. What is -2*j(y) - 9*l(y)?\nAnswer: y + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -546580 rounded to the nearest 1000?\nAnswer: -547000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let t = -1.1 + 6.1. Let q = -2 + t. Which is the smallest value? (a) q (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8367944 rounded to the nearest one hundred thousand?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2. Let x be q(-4). Suppose 0*i = x*i. Let c be (-2)\/2 + i + 1. Which is bigger: 1\/2 or c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let a(b) be the second derivative of b**3\/6 + 16*b. Determine y(a(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 4, -355 in descending order.\nAnswer: 5, 4, 3, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + (15 - 22) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -650544 or -650546?\nAnswer: -650546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:03 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 4 = 0. Suppose 2 = 2*u + u + s*l, -4*u + l = -21. Solve 0 = -2*q + u*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6531220503 or 1?\nAnswer: -2\/6531220503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32*r - 10736. What is l(117)?\nAnswer: -6992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**3\/3 - 3*h**2 + h - 2. Let g be 6\/(-54)*43 - 10\/45. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g - 7. Give p(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(24\/(-108)*-3)\/((-28)\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6364 - 9.6494. Let s = -19 - -10. Let h = v - s. Round h to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*f + 3*r, 915*f - 918*f = 3*r + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3279 = -83*x - 42. What is the remainder when x is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 + 173*n\/2 - 2201 = 0 for n.\nAnswer: 31, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111010000 (base 2) in base 4?\nAnswer: -313100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.3. Let c be (-3353 - -3339) + (1 + -1 - -11). What is the closest to 2\/5 in c, 0.2, j, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*x + 2. Let z(l) = l**3 + 17*l**2 - l + 8. Let q be z(-17). Let a = q - 14. Calculate the smallest common multiple of a and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8994)\/9 + (-2 - (-35)\/15). Let f = -3038\/3 - d. Find the common denominator of -52\/57 and f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**2 + 4*t + 3. Let i be y(13). Let j = i + 2764. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 2*b + 2. Let n be (1 - 2)\/(3\/(-6)). Let v be t(n). What is the remainder when ((-6)\/(-4))\/(3\/v) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4672.24 rounded to the nearest 10?\nAnswer: -4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 620.007 and 2334.\nAnswer: 2954.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*g - 52*g = -1395. Do -121\/4 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 2.19. Let y = n + -5.09. Which is the biggest value? (a) 1 (b) -1\/2 (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, -10, -27, -40, -43, -30, 5, 68?\n\"Answer: a**3 - 7*a**2 - a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.7726 - 3.\nAnswer: 60.7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)*c)\/(c**(-1)\/c)*c**(7\/6)*c**9 assuming c is positive.\nAnswer: c**(413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k - 14. Let g be s(6). Let x(d) be the third derivative of 7*d**4\/12 + d**3\/2 + d**2. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 smaller than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3 + z**3 - 9*z**2 + 10*z - 4 - 7 + 1. What are the prime factors of k(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2261.123.\nAnswer: -2272.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2549 divided by -188?\nAnswer: -2549\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/450)\/(1\/(-36)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 20867317\nAnswer: -8346926.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1228052 by 2.\nAnswer: -614026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q**2 - 353*q - 2801. Calculate g(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*o + 135 + 124 - 391 + 132.\nAnswer: -741*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 - 6486*w = 0 for w.\nAnswer: -3243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t**2 + 40*t**2 + 23*t**2 + 26*t**2 + 22*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 108*v**2 - v**3 + 6*v**3.\nAnswer: 5*v**3 - 108*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*f - 2*f + 10, -4*c + 13 = 5*f. Solve -4*v + k - 14 + 6 = 0, -3*v - k + f = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515390659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12069971 + -0.728\nAnswer: 12069970.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 266*d + 1. Let r be v(1). Is (-6)\/(-9)*r\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8, -2*h = -4*k + 2*k. Suppose -h*z + 76 = y, 3*y = -3*z - y + 57. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 419, 1507, 3623, 7109, 12307, 19559, 29207?\nAnswer: 41593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20772325.\nAnswer: 5, 7, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130, -506, -1132, -2014, -3158, -4570, -6256, -8222?\n\"Answer: -t**3 - 119*t**2 - 12*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 2*i + 6, 148*o - 146*o - 14 = -2*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6058 is divided by 1846.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 9*s = -115 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2772.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 252?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9.628581, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:48 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 + 5626216910\nAnswer: 5626216910.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098849 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30291, -60585, -90877, -121167, -151455, -181741?\n\"Answer: p**2 - 30297*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (0 - (-8 + 2)). Suppose -d = 2*l - 35, -3*l - l - 217 = -5*d. Let h = d - 38. Sort -3, h, w in ascending order.\nAnswer: w, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10022102441 + 3?\nAnswer: 10022102444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 7*r**2 - 5*r - 4. Suppose 0 = 5*t + 12 + 8. Let j be m(t). Solve -4*n + 3*h = 7*h + j, -3*n + 3*h + 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**2 + 26*s**2 - 5*s**4 - 58*s**2 - 15*s**4 wrt s.\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -200059*3\nAnswer: -600177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1103 - 4*i**2 - 1103 - i)*(i**3 - 8*i**3 + 3*i**3).\nAnswer: 16*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7229, -14541, -21865, -29207, -36573?\nAnswer: -43969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 29. Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 1. Suppose 12*g + 2*g = -56. What is y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9743424 divided by -26192\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2\/3 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = -4*q + 33, 4*q = 2*i - 12. Let a(x) = -i - 16*x + 10. What are the prime factors of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 1\/1085 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 83 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(132)\/((sqrt(72)*-5)\/sqrt(6)))**2 - -3*sqrt(539)*-2).\nAnswer: -11\/25 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*d + 4*d - 8, 0 = o - 2*d - 2. Let f(r) = 4*r + 2*r**o + 2 - 4*r + 4*r. What is the remainder when f(-5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -384 + 384. Let l be ((-52)\/(-8) - 4)\/((-1)\/(-2)). Solve l*x - 5*z - 20 = v, -5*x + 5*z = -2*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o - 44*o - 2 - 14*o + 2 + 199*o.\nAnswer: 97*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-5)*p*p**(-1\/6)\/p*(p*p*p**1)**(-3\/5) assuming p is positive.\nAnswer: p**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 2. Let k be q(-2). Suppose 4 + 3 = -3*v + 4*l, 4*v + l = 16. Let c(u) = 3 + u**2 + 0 + u**3 + v - 1. What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114*50\/375*-5)\/(2\/1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 59, -0.2, -1 in ascending order.\nAnswer: -1, -0.2, 2\/9, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7272.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let o(i) = -7808539*i. Calculate l(o(x)).\nAnswer: -60973281314521*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.037, -2\/7, 5182 in descending order.\nAnswer: 5182, -0.037, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l - 5. Let b = l + 1. Let n(g) = -5*g + 2. Let m be n(b). What is the highest common divisor of 108 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(4 + 1 - 3) + 0 + 1 + 0 - 2 + 2 + 6)*(-8*f**4 + f - 357 + 357 + 3*f**5).\nAnswer: 27*f**5 - 72*f**4 + 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2726736\/35, -1, 1.\nAnswer: -2726736\/35, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 16 = q + 4, 5*v + 30 = -3*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -742, -1111?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45 equal to 7206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2603.965 + 21.\nAnswer: 2624.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (-1 - 3) + 2. Suppose r = o, -5*q + 3*o + 388 = 155. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-45)\/2)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + v - v)*(0 + v**2 + 0) + 38*v**4 - 22*v**5 - 38*v**4.\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, f: 4, k: 1}. Give prob of picking 1 f and 3 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288 - -274. Let x be 7 - (-7)\/v*-6. Solve -4 + x = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (822224\/(-20904))\/(3\/(18\/4))*1\/1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 101*o + 2912 = 0. What is the greatest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or -88?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -13*i**3\/2 - 59*i**2 - 133*i - 112. Let w(p) be the first derivative of y(p). What is the first derivative of w(v) wrt v?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 2*m**2 - 11*m**2 + 3*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 381 = -1515. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus -0.012?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566095 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57353463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 308*g + 83. Let v(s) = 7*s**2. Calculate d(v(m)).\nAnswer: 2156*m**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4564 and 563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1.1, 2\/129, -1.3 in descending order.\nAnswer: 11, 1.1, 2\/129, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 10. Suppose 3*w = 5*t + 9, -10 = -3*w + 4*t + 2. Let p be s(w). Let n be p\/30 + (-21)\/5. Is n greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a2 (base 12) to base 4\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 15\/12 + (-537109548)\/(-16). Let n = -21269347 + h. What is n rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 28*k**2 + 75*k + 10. Calculate j(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7187.7?\nAnswer: -7187.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 38 + 5 = l, 0 = l + 2*a - 45. Suppose 2*b = -s + 218, -b - 3*s + 80 = -39. Let u = b - l. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/4 + 38*u. Factor l(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by (-27)\/(-9)*(-44)\/(-6) + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 6. Suppose 0 = 2*x - 4*y + 16, -3*y + 2*y + 1 = 0. Let u be r(x). Suppose 245 = -u*n + 5*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645538 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 3. Suppose 4*q - 20 = 4*g, 0 = -q + 3*q + 4*g - 4. Determine v(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2. Suppose -5*j + 5544 = -27*j. Let v = j - -3273\/13. Which is the nearest to k? (a) 0.4 (b) v (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, 4, 46800 in descending order.\nAnswer: 46800, 22, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 6. Let b(i) = 2*i**2 + 3*i + 7. Is b(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1366, -14117, 1 in decreasing order.\nAnswer: 1366, 1, -14117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 2. Let p = 38.7 + -0.7. Let z = p + -38.4. Which is the third smallest value? (a) -13 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 166676 > 166694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express 18*r**3 - 24*r**3 - 89*r**3 + 8*r**3 + 0*r**3 - r**3 + 3*r**3 + (8*r**3 + 4 - 4)*(3 + 0 - 1) in the form m*r**3 + c + f*r**2 + s*r and give m.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t + 5*g - 11, 4*t - g = 11. Suppose -t*o + 12 = 2*f + o, -8 = -4*o. Which is the smallest value? (a) f (b) -0.2 (c) 3 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + (9 - 21) + 18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -4.7 (b) -0.41 (c) -3\/2 (d) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/4 - (7 + -11). Which is the closest to q? (a) -1 (b) 2\/39 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2*5 + 2. Suppose -3*g + 3*c - o = 35, 4*c + 21 = -3*g. Let q = -8 - g. Solve -q*m - 16 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + (-10 - 42\/(-10)). Do d and -58\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnyyyyyyyynyn. Give prob of sequence nyn.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40934018 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 6\/7 in -2, -2\/9, 6\/13, 1\/3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.532303 minus 0.4?\nAnswer: 6.132303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.5147cm to nanometers.\nAnswer: 4475147000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 60*y + 357. Let z be t(78). Is 5037 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b + -27?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801 - 769. Suppose 0 = g - 2*i - 7, -45 + o = -g + 5*i. Solve 0 = -h + 3*l - 5, l + 13 = -g*h + 7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 t when three letters picked without replacement from {f: 3, t: 1, a: 1, g: 1, w: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 36*p - 270. What is the smallest common multiple of z(-21) and 203?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 795613*c. Let i(j) = 146*j. Calculate i(s(p)).\nAnswer: 116159498*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o = -60*o + 700. Solve 0 = 3*i - r - 10, 25*i = 23*i - o*r + 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.2 and 0.01.\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 7 - (-70 + -95 + 27)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-12) + (-207)\/(-2484).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 43 + -29 + 28 + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4222*a**2*b - 1203*a**2 wrt b.\nAnswer: 4222*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -10)*(0 - 1). Is h greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -10539, 0.02, -0.1, -1.\nAnswer: -10539, -1, -0.1, 0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 115. Suppose j*x - 42 = 2. Let t = -1 + 1. What is the closest to 0 in x, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 2. Let i be y(0). Let u(n) = -n**2 - 12*n - 3. Let x be u(-12). Sort 4, x, i in ascending order.\nAnswer: x, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*(s\/(s**(-2\/3)*s))\/s)**(-21) assuming s is positive.\nAnswer: s**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-8))\/((448\/(-896))\/(2\/6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7216\/(-12) - (-12)\/9. Let u = 314 + c. Is u equal to -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1145+-2.93\nAnswer: -1147.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 - 1 = 2*k, -2*h + 5*k = -30. Let t(r) = r**2 + 8*r - 8. Let v be t(-9). What is the remainder when v\/(12\/256) - (-8)\/12 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1175 and 123\/14570.\nAnswer: 72850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 29 = 88. Suppose -2*j = -j - 18. Suppose -j*t = -13*t - 50. Calculate the remainder when i is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:03 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3))*-4 - (2 + sqrt(3)*-3))**2.\nAnswer: 20*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most -6985\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270926518 and 81498?\nAnswer: 812779554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10*x - 24 = 0. Suppose -j = h - 9, 0*j = -2*j - x*h + 23. Calculate the lowest common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-16)\/(-2464)*-7?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 3*n + 0 - n + 0 + (3*n - 2*n + 0*n)*(3 + 1 - 3) - 5*n + 2*n + 4*n)*(33*n**2 + 14*n**2 + 35*n**2).\nAnswer: 164*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1203505133 to the nearest integer?\nAnswer: 34692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102884807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-54)*((-275)\/231 + 1\/3). Sort s, -3\/5, 6\/19, 4 in ascending order.\nAnswer: -3\/5, s, 6\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.249 take away -7?\nAnswer: 13.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + h + 12 = 3*h, 3*s + 12 = 5*h. Let p be (s - 308\/(-72)) + 4\/(-8). What is the biggest value in 3, p, 0.3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 - 23105\/78. What is the common denominator of i and -82\/15?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1088885151 and 1467.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -48*y - 68 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 1. Let k be f(-1). Suppose q = -k*q - g + 46, 98 = 2*q + 4*g. Suppose -3*n - 1 = 4*j - q, -3*j = -4*n + 81. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 8*d**2 + 11*d + 22. What is the remainder when (36\/8)\/9*66 is divided by j(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 2*z + 3. Let x be g(-3). Suppose -2 = -t - x. Solve l = -t*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6000579 (base 10) to base 5.\nAnswer: 3014004304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2360)\/90)\/((-70)\/45) + 24\/21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5042 = -754*w - 43496 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 35807683 and 35807638 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 3*j**2 - 2*j + 6. Let u be y(2). Suppose -u*s + 21*s = -78. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - 16\/(-20). Let b = -16 - -44. Is 13 a factor of b*x - (1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:37 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.9 + 27. What is the nearest to z in 0.02, 5, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 785 + -791. Let u = -0.5 + -2.5. Which is the second biggest value? (a) u (b) -2\/3 (c) n (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = -3. Let h(q) = 3*q - 805558*q**2 - 22*q + 4 + 5*q. Let z be h(a). What is z rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2))**(-27)*((t\/(t**6*t))\/t)\/(t**(-2)*t))**(-43) assuming t is positive.\nAnswer: t**(3999\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261571.\nAnswer: 1261571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -42*y + 2048. Calculate t(72).\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/11024?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -103. Which is the nearest to -0.05? (a) -2\/7 (b) 34 (c) 0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 8*v**2 + v + 10. Let n be z(-8). Solve -7*h + n*h = -15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22689326 and 1570?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 2, p: 2, k: 2, w: 1}. Give prob of picking 2 p and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 554051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 2.86?\nAnswer: -114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290645?\nAnswer: 5, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(5 - (3 - 0)). Suppose -2*x - 3 + 13 = a. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.94? (a) -0.4 (b) 2 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {t: 5, g: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + b - 271, 6*j - j = 5*b - 335. Is (-2 - -1)*(j - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10111111111110101000101010?\nAnswer: -10111111111110101000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/65? (a) -2\/19 (b) -3 (c) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 + f - 4. Let v be q(0). What is the remainder when (196\/(-2))\/(8\/v) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - t**4 - 2*t**4 + (-4 + 4 - 1)*(-2*t**4 - 5*t**3 + 5*t**3) + 0*t**2 + t**4 + 0*t**2 + (-6*t**2 + 2*t**2 + 2*t**2)*(0*t**2 + 3*t**2 - 2*t**2).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 52 = -38. Suppose -4*k + k = -5*i - 1373, 0 = -2*k - o*i + 942. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**2 + 10*d**3 - 15*d**2 - 5*d**3 + 3717*d + 3*d**2 as g*d**2 + s + c*d + w*d**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1004\/48 - 1\/(-4) and (-134)\/(-3)*4\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(3 + 16\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(4 - 0) + (0 - 2). Put 2\/5, -5, y, -4\/3 in descending order.\nAnswer: y, 2\/5, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*o + 195 = -3, 0 = -3*o - 6. Calculate the remainder when 185 is divided by i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882097441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 5*r + 2*r + 3.\nAnswer: -6*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 960\/2184 - (1 - 33\/39)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -3, -2, -4\/153, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) 1 (b) -2\/5 (c) -0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 29217*s - 29234*s + 5 + 0 in the form n*s + v and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3622667\nAnswer: 3\/3622667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 4) to base 5\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 28*w - 85. Give d(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)*(-1 + -1 + 4). Let o be (2\/(-4))\/(0 - i\/40). Which is the second smallest value? (a) o (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42\/19 + 408\/133. Which is the third biggest value? (a) 4 (b) z (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96*(-1150)\/1472 - 194?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1626 + -1769 + -3 + 72.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**3 - 6*d**2 + 6. Let z(l) = -8*l**3 - 5*l**2 + 5. Give -5*a(g) + 6*z(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s**3 + 2*s**2 - 18*s + 109. Does 9 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 + -89. Let s = a + -137.9. Put -4, s, 3\/28, 2\/7 in increasing order.\nAnswer: -4, s, 3\/28, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 48\/11 - 100\/11*z.\nAnswer: 2*(z - 4)*(11*z - 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -241, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11424 divided by 336.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.55248 minus 0.019?\nAnswer: 550.53348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from ateetttaewaaa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q = -6. Suppose 9 = q*v + 3. Suppose v*b - 16 = -12. Sort b, -1, -8 in increasing order.\nAnswer: -8, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1206 (base 8) to base 7\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 632 - 643. Calculate the common denominator of 88\/f - 2145\/(-230) and ((-2)\/(-16))\/(3\/(-9)).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.34 and 103.\nAnswer: 104.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(539) + -4 + sqrt(539) + (sqrt(539) - (-1*sqrt(539) + sqrt(539))))*4)**2 + (5 + (0 + sqrt(539))**2 + -2)*-3)*6.\nAnswer: -13104*sqrt(11) + 456954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-2 - 0) + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/(-12) + (-24)\/18. Suppose 2*c - 4*q - 4 = 24, -s*c - 2*q + 36 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 + 378 = 0. Let f = t - 140. Let c = -507 + 516. What is the common denominator of c and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -1\/60*p**5 - 1\/3*p**3 - p**2 + 0 + 0*p - 5\/24*p**4. What are the prime factors of u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*n**3*s - 2*m*n**3 + 2*m*n**2*s + 2*m*n**2 + 60*m*n*s - 8*n**3*s wrt n?\nAnswer: 6*m*s - 12*m - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 9. What is the nearest to -1 in -0.5, b, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 15) in base 2?\nAnswer: -11110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m + 14*m**2 - 15*m + 44*m - 15*m as s*m + v + x*m**2 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44515 - 142?\nAnswer: 44353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -32.7, -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(475) - (sqrt(475) + sqrt(475) + (sqrt(475) - (2 + sqrt(475))) + -3) - sqrt(475))**2 + 1).\nAnswer: -3852 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 649?\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 = -155. Let p = i + -2. Let r = p - -114. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(2\/13))\/(u\/u**(-6\/19)) assuming u is positive.\nAnswer: u**(454\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466 + 2649*a - 3061*a + 466.\nAnswer: -412*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-25)\/80?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5940.521 kilometers?\nAnswer: 594052100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*b + 5*m, 10*b - 8*b - 22 = m. Calculate the remainder when (4 - 0)\/(4\/32) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1869645396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276098600 is divided by 25624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.4 (c) -1\/4143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -41*u + 40*u - 9 + 24. Let d be i(15). Suppose d = -f - 0*f + 46. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3732019 + 3732019 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 125 = 10*a + 167 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 360*y - 8100 = 0. What is y?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - 1. Let y be u(-1). Solve -5*s + 13 = -2*l, -2*l - s = -y*s + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*d + 15, -4*c + 3 = -5*d - 8. Suppose 0 = -8*f + c*f + 16. Solve -f*k = 0, 2*k - 4 = 4*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + y + 2*y**3 - 4*y**4 + 1 - 6*y**3 - y**2 + 0*y**3 + 11*y**3 to i + u*y**3 + z*y**4 + j*y + o*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(35)\/(sqrt(5)*4))**2 + 4*sqrt(7) + 4 + 1.\nAnswer: 45\/16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.4. Let m = -0.5 + u. Let i be 0 - 2 - (-17)\/9. Which is the closest to -1\/4? (a) i (b) -2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 z, and 1 y when four letters picked without replacement from vyyyzzy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**2 + 3*a - 9. What is b(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 13 + 11*l + 13.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*(-1 + 1 + -6) - (-1044)\/(-116)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 7108*t\/9 + 790.\nAnswer: -2*(t - 1)*(t + 3555)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 10*y**2 + 3. Let s be a(10). Suppose -5 - s = -2*d. Let m(w) be the first derivative of -w**4\/4 + 4*w**3\/3 - 5*w + 658. What is m(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314827802723 less than 2?\nAnswer: 314827802725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/8 of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*t**2 + 3*t**2 - 3*t**2 + (-37*t - 49*t + 16*t)*(-t + 5*t - 2*t).\nAnswer: -166*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8789 - 6094. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 + t + (-689*t + 336*t + 273*t)*(2 - 2 + 2).\nAnswer: -159*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 + -163. Let b = -953 + 2273. Let l be 2\/7 - b\/(-35). Calculate the highest common divisor of n and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 16*a + 4*a**2 + a - 2 + 9*a to the form f + x*a + n*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 - 241.81. Round j to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let w = f + -1. Factor 1\/3*h**w + 2\/3 + h.\nAnswer: (h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 11*m**2\/2 - 2*m + 74. Let z(v) = 2*v - 1. Let w(l) = r(l) - 2*z(l). Let t(b) = 21*b**2. What is w(t(n))?\nAnswer: 147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 19978645.\nAnswer: -1\/19978645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -273*u**3 - 15*u**2 + 15*u. Let k(g) = 68*g**3 + 4*g**2 - 4*g. Determine -15*k(s) - 4*z(s).\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.8 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*n - 1 = 18, -5*g - 10 = 5*n. Let s be g\/(-12)*2*0. Suppose s = -0*z + 2*z, -z = -3*j + 105. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(14) + sqrt(2016))\/((sqrt(7)*-5 - sqrt(7))*3 + sqrt(1008)*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44878\/11 + (-22)\/(-121). Let n = 5 + 0. Suppose n*y - b = 2*y. Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 905*j + 25401. Give d(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -164*(12\/6 - ((-35607)\/(-156))\/83)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201873957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 bigger than 27404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/(1\/36)*(368\/(-400) - -1)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihiimiihmhmdhhmdggg. What is prob of sequence ig?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2425 = -22*t + 1953. Which is smaller: 74 or t?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.64 + -2.46. Let r = 3.22 - 2.22. Sort z, r, -0.2.\nAnswer: z, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5197*u - 3415. What are the prime factors of z(-3)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.191185883111943.\nAnswer: -1.191185883111943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*m = -243*m - 27594. List the prime factors of m.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.07 (c) 2.0684 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = 340. What is the remainder when o is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 0. Suppose d*s - 2*s - 140 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173.6 or 2\/5?\nAnswer: -173.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-657 - 433 + 245)*(3 - 2*o + 14 - 4) to m + k*o and give k.\nAnswer: 1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16042640 is divided by 658.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410584 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445284*o - 890524*o + 445249*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2166525 (base 7) to base 16.\nAnswer: 41a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let p be w(-1). Let v be (p - 10\/(-4))*-2. Let h = v - -4. Which is smaller: h or -1\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 0 + (3 - 3). Let p(v) = v**3 - 5*v**2 + 1. Let k be p(m). What is the remainder when (k + 2)\/3*14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 5. Let j be l(4). Let s = j + -11. Let r(w) = w**2 + 7*w - 6. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - ((-1 - 6) + 11)) + -3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-22) - 70\/22. Let t be (o\/9)\/(3\/(-27)). Let s = -1 + t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 7, -3\/7, 48\/53 in decreasing order.\nAnswer: 7, 48\/53, -1\/3, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -254 + 156. List the prime factors of (-1)\/(3 - c\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 4. Let t(a) = 1. Suppose 83*v = 89*v - 612. Let j be 391\/v - 3\/(-18). Calculate j*t(i) + o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 52484*y + 4397. Is i(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21048 + 1029*p - 21048 to the form s*p + n and give s.\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*u + 3*r, -4*r - 1 = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 3. Let n be x(-3). What is the second derivative of n*v**4 - 49*v - 58*v + 110*v wrt v?\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ssssmdlsmzml.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 352 and -266540?\nAnswer: -93822080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 5. Suppose -q = -m, 3*j - 26 = -5*m + 237. Calculate the remainder when j is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26098 - 26023. What is the greatest common factor of l and 1485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 11) to base 5.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 203129.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:40 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13724 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*q - 742*q - 2582*q.\nAnswer: -4104*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10431, 20870, 31309, 41748?\n\"Answer: 10439*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68.11 * 1\nAnswer: 68.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -11) + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let c = -1.9639 - 0.0361. What is the closest to c in -2\/7, b, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = 5*v - 3, o + 4*v = 9. Let t(f) = f**2 - 10*f - 8. Let c be t(o). Let j = -33 + c. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560737 to the power of 1\/2, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*i - 191*i**2 + 2486*i**2 + 236*i + (3*i - 6*i + i)*(1 - i - 1) - 2*i**2 + 5*i**2 - 4*i**2 to the form d*i + s*i**2 + f and give s.\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 695912299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: bbbc (base 13) to base 14\nAnswer: 9781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114.2 and 2.4592?\nAnswer: 280.84064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*31*(18150\/88)\/(-33). Is -771 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.2 (c) 58 (d) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + 2 + 3. Let y be (x - -2) + (2 - 5). Determine v so that -9*v**2 + 36*v**y + 96*v**4 - 9*v**2 - 6*v**2 - 8 + 64*v**3 - 36*v = 0.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011110010001 (base 2) in base 16?\nAnswer: 16791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 6 = 70 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87\/2 - 46. Which is greater: s or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -175*b**2 - 250*b + 125. Let z(r) = -2*r + 1. What is a(g) - 125*z(g)?\nAnswer: -175*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1877527*o**3 - 156657*o**3 - 139578*o**3.\nAnswer: -2173762*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 14223.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (360 + 0)\/(2\/4889). Suppose -5*u - x = -g, -11 = 4*u + 5. What is g rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3973799 - p**2 + 3973799.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 436.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100395*h**6 - 106280*h**2 wrt h.\nAnswer: -12047400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1. Let v(a) be the second derivative of -a**4\/4 - 3*a**2 + 2*a + 8. Let f be ((-2)\/3)\/((-3)\/(-27)). Give f*n(p) + v(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -117583 take away -77803?\nAnswer: -39780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -331, -482, -625, -760, -887, -1006?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rsrsr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 - 598. Let g = q - -228. Let a = g - -168. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from ngggnggggg?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfhffdndhhf. Give prob of sequence ndf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140317201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1067)\/(-97) - (-182)\/(-13))*(-6)\/(-675)*-1\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/370 and 131\/16449312.\nAnswer: 82246560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5 + 103262*x**4 + 5374638*x**3 + 20362618*x**2 + 25014380*x + 9923136 = 0?\nAnswer: -48, -2, -1, 51683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -190798.89 - -0.015?\nAnswer: -190798.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2554 by 18106.\nAnswer: 1277\/9053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*j + 20 = -j, -3*l + 30 = -3*j. Suppose -2*q + l*q = 12. Calculate the smallest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -2261.\nAnswer: -23\/2261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021022100 (base 3) to base 16.\nAnswer: 61b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 - (5 - 3))) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpwwwpwwwwfww. Give prob of picking 1 w and 2 p.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*q + 75 = 0, 0 - 60 = -3*l + q. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/5 + 27*s**2 - 984*s\/5 + 284 = 0.\nAnswer: -142, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 60278?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 774*n + 197372. Calculate s(-255).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189277.2ml to litres.\nAnswer: 189.2772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 10) to base 14\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.6 + 21.599826. Round j to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254673*k - 254503*k = 340. Determine v so that -16\/5*v - 31\/10*v**k - 3\/10*v**3 + 18\/5 = 0.\nAnswer: -9, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1665, -1754, -1851, -1950, -2045?\n\"Answer: n**3 - 10*n**2 - 66*n - 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4846*n**2 + 508831*n - 111. Calculate w(105).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-32)*(-24)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 c when four letters picked without replacement from {g: 4, c: 3, t: 3, y: 6, n: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*g = 2*x + 7, 5 = -g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 123. Solve -x*o + 1 = i + 4, i - 2 = 3*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-5))\/((-156)\/(-520)). Let t = -1 - -0.8. Which is the closest to q? (a) 2\/9 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 553, 1048, 1413, 1582, 1489?\n\"Answer: -11*o**3 + o**2 + 569*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -232, 7, 606 in descending order.\nAnswer: 606, 7, 4, -12, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10340 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318\/91 + -38\/13. Suppose 5*i = c - 130, -5*c + 130 = -5*i - 2*c. Let m = -26 - i. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - c?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 - 8*u**2 - 29*u**4 - 6*u**3 - 3*u**3 + 25*u**4 = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 9, g: 5}. Give prob of sequence gp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*v**2 + 87*v**2 + 86*v**2 + 1 - 325*v**3 + 85*v**2 as s*v**2 + y + r*v**3 + m*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 4. Suppose -5*q = 3*w + 9, -5*w - 9 = 4*q + 6. Let h be x(w). Let c = h - -8. Let g(t) = -t**3 - 6*t**2 - 5*t - 7. Give g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/10*(5 + -1). Suppose -3*f = k - v, 0 = 8*k - 3*k - 4*f - 29. Suppose 0 = -k*j + 3*j + 18. What is the least common multiple of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -14 - 0. Let h(u) = u**3 + 6*u**2 - 10*u - 9. What is the units digit of h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*((sqrt(500) + 2*sqrt(500))*-2 + -1 - (-1 + 2*sqrt(500) - 1*sqrt(500)*5)))**2.\nAnswer: 300*sqrt(5) + 112501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1423.5507 months?\nAnswer: 11.8629225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 30*z - 170. Let t be c(21). Suppose 156469 = t*g - 13524. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 72261.\nAnswer: 144522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1) + 2 + 3 + -6 + (1 - 20)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -153*i - 282. Let h be o(-9). Let j(v) = -v - 764. Let w be j(0). Let y = w + h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j - 359. Let n be d(-36). Suppose 5*b = b - 548. Let t = b - -683\/5. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**10\/25200 - i**9\/7560 - i**8\/10080 + i**7\/1260 - i**5\/15 + 11*i**2. Let t(o) be the third derivative of d(o). Factor t(a).\nAnswer: 2*a*(a - 1)**2*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/121)\/((-670)\/(-737))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 2)\/((-1)\/(-7 - 1654))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33025, -66041, -99037, -132007, -164945, -197845, -230701, -263507?\n\"Answer: k**3 + 4*k**2 - 33035*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 4, 11 in ascending order.\nAnswer: -6, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 + 4*b + 3. Let i be ((-66)\/18 + 3)\/(2\/(-6)). Let l = i + -4. Let q be m(l). Is 3\/14 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.2. Let a = r - 0.1. Let n be (22\/(-4) + 4)\/(-9). What is the smallest value in a, 1, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-72))\/(14\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 3*n**2 + 8*n + 6. Let l(p) be the first derivative of p**4 - 5*p**3\/3 - 15*p**2\/2 - 11*p + 742. Give 11*k(q) + 6*l(q).\nAnswer: 2*q**3 + 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*t = -51, 3*t + 0 + 16 - 7 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 26*t = -3*j - 26, -4*t + 32 = 4*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -897*g**3 + 1981*g - 533. What is the derivative of w(d) wrt d?\nAnswer: -5382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369 + -1843\/5. Which is the closest to -1\/20? (a) 1\/2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/3 - 33094*c**3 - 794315*c**2\/3 - 165500*c + 4964500\/3 = 0?\nAnswer: -5, 2, 99290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0700105 + -15856190.\nAnswer: -15856190.0700105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/49 + -65\/196. Suppose 2*r = 2*n + 40, -2*n + 0*n + 44 = 2*r. Let t be (-3)\/r*(-4)\/2. Which is the biggest value? (a) t (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33a5a85 (base 11) to base 16\nAnswer: -5ad2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9906 + -9566. Calculate the lowest common multiple of x and 202.\nAnswer: 34340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.013376 times 3\nAnswer: 0.040128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 18 - 1)*(4*f - 5*f + 0*f).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 1, m: 2, a: 2, z: 1, u: 1}. Give prob of picking 1 a, 1 m, and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*m - 383*c**3 + 6*c*m + 3*m**2 wrt m.\nAnswer: -3*c**3 + 6*c + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:26 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11562 - -138613\/12. What is the common denominator of a and (-2 - 309\/(-54))*-1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -3*v**4\/8 + 2837*v**2. Let k(h) = 1 + 2*h - 1. Calculate k(a(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6894 by 2298.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-1.056\nAnswer: -1.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48844009 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 5*x - 5*x)*(3 + 0 - 5) + 0*x + 2*x - 7*x + (0*x + x + x)*(-1 - 4 + 3).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 115.59. Are n and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 14*g**2 + 116*g - 2. Determine m(-7).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/125 (b) -2\/11 (c) -1 (d) 0 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:33 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + s - 1 + (2*s - 2 + 2)*(-1 + 3 - 3) + 2*s + 3*s + 3*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4) + (-8 + -4 - (18 + 92) - -14).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 0.02. Let i = q + -26.72. Round i to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141)\/(-94)*-2*2*26\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113955 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -42, -2\/3, -3\/8 in decreasing order.\nAnswer: 2\/5, 0, -3\/8, -2\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3768 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061776947 to the power of 1\/2, to the nearest integer?\nAnswer: 45407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100958573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 2 - 14 - (1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2 - 2*j + 0*j - 4. Let b be z(-9). Suppose -3*l = 3*f - 5*f + 1, 2*f = -2*l + b. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095156093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 406.3 + -406.1. Sort -8, 388, w in ascending order.\nAnswer: -8, w, 388","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3295, 0, 5, -5?\nAnswer: -3295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 + -15816755.\nAnswer: -15816977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 15) in base 13?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*w - 163 = 0, 2*v + 4*w - 196 = -3*v. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10428 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 18.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let b(n) = -211*n**2 - 5. Let o(c) = -2107*c**2 - 49. Let r(u) = -49*b(u) + 5*o(u). Calculate f(r(z)).\nAnswer: 392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3\/13 (c) -0.1 (d) 108\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:24 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11*d + 12*d - 2745 = 0, 5*d - 2725 = -f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03823481 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + 73 + -230 - (5 + (0 - -3) + -1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.118 - -2.882. Which is the nearest to u? (a) -2 (b) 3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 - 9 = -2*l, -13 = -4*o - l. Solve 0 = j + o*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -243 - -239 - (1 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 928348 divided by 8003?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3))\/(2\/(-78)). Let p = q - -67. Suppose -3*d - p*i + 390 = 3*i, -2*d = -2*i - 276. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9721019993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 10*q = -14*q - 2380 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 381, 582, 817, 1104, 1461?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3080 or 5678?\nAnswer: -3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -0*j - 108812. What are the prime factors of j?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 502090768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**3\/3 + 1. Let l(g) = 5*g - 1. Let r(o) = 87*o - 18. Let v(s) = -18*l(s) + r(s). Determine v(y(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(81)*-4 + (5 + (sqrt(27))**2 - (1 + sqrt(363))).\nAnswer: -37*sqrt(3)\/3 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**6\/21 - 8*x**5\/35 - 2*x**4\/7 + 4*x**3\/21 + 5*x**2\/7 + 4*x\/7 + 129. Solve z(w) = 0 for w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 34 + 39 = -v, v + 108 = 3*c. Calculate the remainder when c is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117932 is divided by 140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.39 + -2.34. What is the nearest to -2 in -10, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 3*m - 18 = -17*b, -5*m + 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s + 8 - 14*s + 3*s + 5*s. Let c be i(5). Let u(d) = d**3 - 3*d**2 - d + 2. Calculate u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2 - n**3 - n + n**3 - n**2 - n**3 + 1. Let o be x(0). Does 14 divide 88\/2 + -2 - o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 87*p**2 + 67*p + 29. What is z(28)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2285*o + 285632. Determine u(-125).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -272?\nAnswer: -26f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15584*a**3 + 15591*a**3 - 31155*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**5 + a**4 + a**3 - a**2 - 1. Let z(s) = -9*s**5 + 39*s**4 - 135*s**3 + 285*s**2 - 288*s + 102. Let r(h) = -6*f(h) + z(h). What is m in r(m) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -53. Let o = 42 - 42.3. Let v(u) = u - 1. Let g be v(3). Which is the nearest to 1? (a) w (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 19. Let p be 2\/q*(-18 + -2). Suppose -p = -2*y + 12. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51\/348365 + -106016875814\/3135285. Let m = g + 33851. Let i = -37 + m. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2569 and -7164?\nAnswer: 1840.4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266555337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -37 + (-5 - -38)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/11 - -125\/22. Calculate the common denominator of v and -9\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7329632 + 1329.8.\nAnswer: 7330961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 122151\/25410 - (-4)\/14. Let k = t + 6\/847. What is the common denominator of k and 109\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(120)*3)\/(sqrt(54)\/(1*sqrt(9))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139300.401 rounded to the nearest one thousand?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - 30 - 31) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 - 9)*(10*b - 13*b - 5*b) to the form g*b + s and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 93, -2, 75, 0 in descending order.\nAnswer: 93, 75, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -26, -28, -10, 34, 110?\n\"Answer: f**3 + f**2 - 26*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102500 and 25830.\nAnswer: 6457500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddax when four letters picked without replacement from xdadesrxa?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.0995634 + -18.1. Round s to 5 dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -8, -0.2, 0, 1.555 in decreasing order.\nAnswer: 5, 1.555, 0, -0.2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6931634 is divided by 2310539.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.129 + 1.119. Let b = 3 + -2. Is b != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 72*t - 71*t - 34)*(6 - 1 - 3) as n*t + r and give r.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-102)\/14 + (-4)\/(-14). Let g(y) = -27*y**2 + 12*y + 3. Let z(n) = -74*n**2 + 35*n + 9. Let u(d) = -11*g(d) + 4*z(d). Give u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -144*o - 1. Let k(j) = 145 - 684*j**2 - 147 + 336*j**2 + 334*j**2. Give g(k(y)).\nAnswer: 2016*y**2 + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = 4. Suppose -x - i - 7 = -6*i, i = 2*x + y. What is the units digit of 2*((-39)\/(-6) - x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24000 is divided by 497?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + (sqrt(288) - (4 + -2*sqrt(288) + sqrt(288)) - sqrt(288)) - (sqrt(120)\/(sqrt(12)\/sqrt(2)))\/(sqrt(90)\/(sqrt(36)\/sqrt(4))))*-6)**2.\nAnswer: -60048 + 28512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658929*b**2 + 327269*b**2 + 331608*b**2.\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2. Suppose 0 = 4*y + 3*g - 0*g + 10, g = -4*y - 6. Determine m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14846471077.8359 - 0.\nAnswer: -14846471077.8359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = 25*f - 2502. Suppose -5*s + f = 4*o, -2 = -o + 3*o. Calculate the lowest common multiple of s and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2 + f. Let u(b) = 3*b. Determine u(a(w)).\nAnswer: 36*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 796.0974 - 796. Round v to three decimal places.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(6*f - 3*f + 0*f)*(-10 - 2 + 2) to the form c + w*f and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -594 divided by -99\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 10. Let z be g(-10). Calculate the highest common factor of 40 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5862 + -5861.9. Sort 2.1, n, 1, -2\/9 in increasing order.\nAnswer: -2\/9, n, 1, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -1\/2, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 + 3733947737 - 3733947737.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447771 is divided by 559?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 - 4*c - 19. Calculate v(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1989.192443 and -0.1.\nAnswer: -1989.292443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 = 3*x, 17 + 8 = 5*x + 3*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 4. Let m be i(12). Let b(d) = -28*d + 82. Let n be b(3). Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1087 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 224\/7937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 352109 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2531*x - 286*x**5 - 1 - 4522*x - 730*x**5 + x**2 - 884*x**5 wrt x.\nAnswer: -38000*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 1:20 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 971 = 4*p, 2*s - s = 2*p - 475. Let d = 338 - p. Calculate the least common multiple of 81 and d.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 102.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -34426443 to the nearest 10000.\nAnswer: -34430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**4 - 2*d**3 - 1052*d**2 + 4939?\nAnswer: 4*d**3 - 6*d**2 - 2104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133627481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 321 - 2890. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140516914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - a**2 - 3*a - 9. Let r(v) = -3*v**3 - 2*v - 10. Let n(h) = 4*q(h) - 3*r(h). Determine n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184.58 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4 (b) -2.6 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483418332.\nAnswer: 2, 11, 33714053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 47345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (103 - 27) + 0 + -9?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9)\/(1\/15). Let r(t) = 4*t**2 - 3*t + 2. Let l(m) = m**2 + 2204*m - 2200*m - 7*m**2 - 3. Determine q*l(y) + 7*r(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 - 26*b**3 + 6*b**2)*(0 - 2 + 1) + 3*b**3 - 2*b**3 - 3*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.4, 2689\/13, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k + 7. Let f be u(-5). Let p = f - -62. Suppose -5*c + p = -46. Solve -i = -4*y - 0*i - 10, 2*y + 4*i + c = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 6923680*z + 2396867237120.\nAnswer: 5*(z + 692368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-4) - (-2)\/(-8). Suppose -5*j + 37 = -m*f + 11, 4*j - 26 = 5*f. Let v = 30 - 29. Sort v, f, -0.5 in descending order.\nAnswer: v, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -28*v + 10. Suppose -5*n + 72 = 4*d + 12, -4*d = 0. Let j be b(n). Let r = 617 + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let h(p) = p**2. Let g(t) = 151*t**2. Let j(s) = 2*g(s) + 10*h(s). What is j(b(u))?\nAnswer: 1248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 + 0.3. Let g = 64 + -65. Which is the third smallest value? (a) 3 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:30 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*i + 11, 0*i = -4*s - 4*i - 28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 588, 880?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3\/3 + 3*p**2\/2 - 4*p - 161. Give l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmfm. What is prob of sequence ffmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/11 + 4*f**4\/11 - 190*f**3\/11 + 8*f**2 + 5120*f\/11 - 12800\/11 = 0. What is f?\nAnswer: -8, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-28 - 24)*(-10)\/(-15)*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74115.16114 + 74114. Let p = -1.16 - h. What is p rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y - 7. Suppose 5*i + 10*c - 535 = 5*c, 3*c = -i + 123. What is the remainder when i is divided by k(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = 983 - 1403 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072.98818us in days?\nAnswer: 0.00000002399291875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*b = -51, -2*q + b + 12 = -3*b. Suppose 0 - 8 = -2*c. Suppose -j = c*j - 150. What is the highest common divisor of q and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-2\/23)*c)\/c)\/c)\/((c\/(c*c**(-3)*c*c)*c)\/c)*(c**(-2\/3)*c)\/c**(-4\/5))**(-3\/41) assuming c is positive.\nAnswer: c**(-16\/4715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 2. Let y(d) = 7*d - 6. Let k(p) = -6*v(p) + 2*y(p). Let m(g) = 297*g. Determine m(k(l)).\nAnswer: 594*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*c**3*m - 1932*a*c**3 - 7*c**3 + 8*c**2*m - 2*c + 2*m wrt a.\nAnswer: -c**3*m - 1932*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n = 5*w - 71, -248*n + 269*n - 24*n = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**2 - 29 + 139*d**2 + 26*d**2 + 31 - 355*d = 0. Calculate d.\nAnswer: 1\/177, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -2\/7 (b) 3 (c) 0.3 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 5) + 10 + -1. Let m(h) = -h**3 + 4*h**2 + 6*h + 1. Let u(s) = s**3 - 4*s**2 - 6*s. Suppose -2*z - 6 = -4*z. Let o(a) = z*m(a) + 4*u(a). Give o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*x - 271 + 133 + 2 + 130 to a + l*x and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.36. Let h = -503 + 502.2. Which is the second smallest value? (a) h (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001579166 to 6 decimal places.\nAnswer: 0.001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 8 - 636\/121476.\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 12. Let k be g(-6). Let l(n) = 5*n**3 - 6*n**2 - 6*n + 3. Let v(d) = 9*d**3 - 11*d**2 - 11*d + 5. Give k*v(b) - 11*l(b).\nAnswer: -b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 17*a - 19781 + 11*a.\nAnswer: 6*a - 19781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 179d - 2?\nAnswer: 179b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -7548?\nAnswer: -7542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) -2\/159 (c) 0.4 (d) -117 (e) -3\/8 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9280147 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: Let r = 14 - 10. Let d be 2128\/(-63) + r\/(-18). Let o = d + 106. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + (-52 - -42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 67, 3, -5, -10.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c + 8. Let d(t) = 3*t + 7. Calculate 6*d(f) - 5*m(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 3469*m**2 - 3.\nAnswer: 3469*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 77*d**2 + 1079*d + 44031. Calculate j(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-30))*(-10)\/(-225).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((30\/(-60))\/((-5)\/(-2))). Put 4, -3, a, -15 in decreasing order.\nAnswer: 4, -3, a, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 19b6535?\nAnswer: 19b6538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2*(-3524)\/(-2))\/(72\/(-144)).\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - g**3 - 3*g**3 + 3*g**3 + 34.\nAnswer: 3*g**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 2\/9, -3, -4\/7, 324?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 + 0 = 0. Suppose u*n + 3*h = 10, -5*n + 0 + 30 = 5*h. Suppose 10 + n = 3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 41*m - 6. Let g be v(10). Suppose 0 = -4*w - g*c + 4, 9 = 5*w + 8*c - 5*c. Solve 3*y = 3 + w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1920 at least 6315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84739 to 2 decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2971511 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 955091 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524.702 - 524. Let z = 0.7 - k. Let m = 0.0019852 + z. Round m to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1755 and 18?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 489. Let r(m) = -2*m**2. What is r(t(j))?\nAnswer: -2*j**2 - 1956*j - 478242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/6? (a) -0.1 (b) -5 (c) 3\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose o*h = -h + 18. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6573720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*m**2 + 580*m**2 - 133*m**2 + 2*m.\nAnswer: 41*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2792 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let r = 0.3 - 0.8. Let b be ((-2 + 0)*-1)\/(8 + -14). Put w, r, b in decreasing order.\nAnswer: w, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17354.5301 to the nearest one hundred.\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1448957531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/96)\/((-15)\/(-60))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let r(d) = 17*d**3 + 3*d**2. Let z = 7 + -10. Let b(m) = z*v(m) - r(m). Let k be b(2). Round k to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*r + 68, -2*n - n + 68 = -5*r. Suppose -n = 5*j - 46. Solve 0 = -j*i + 2*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000061776191 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) -3 (c) -1\/1028 (d) 4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*h - 3*h - 21 = 0, 2*h = -2*b + 18. Solve 2*o = b, -2*w = 2*o - o + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/(-22) + (12 - 7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64649 or -64650?\nAnswer: -64649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, p: 6}. What is prob of picking 4 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 + (144 - -6). Suppose 2*j - 3*j - 146 = -5*h, c = 5*h - 2*j. What is the remainder when 86 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/5 - (-42)\/(-105). Put 0.5, -9, z, -2\/7 in ascending order.\nAnswer: -9, z, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 0*u - 21*u + 261 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i + 2*i + 2*i - 4*i + i**2 + 6.\nAnswer: (i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6743, -13487, -20231?\nAnswer: -26975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 5 = -2*d - 5*q, 0 = -5*d + 3*q + 135. Let i be d\/(-40)*(-2)\/6. Let v = 0 + 1. Which is the smallest value? (a) v (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((5*sqrt(72))**2 + sqrt(72)) - sqrt(72))*4.\nAnswer: -14400 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23985 - 23921. Solve 3*x - s*x - 305 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*c + c**4 - 2*c + 0*c in the form q*c**4 + r*c**2 + v*c**3 + x + a*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g + 3. Let i be p(7). Suppose 13*h = i*h - 892. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 + 246. Let l = -31 + c. Calculate the greatest common factor of l and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - 2\/4. Let d be ((-108)\/(-1152))\/(1\/(-4)). What is the biggest value in x, d, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f + 0 + 3\/4*f**3 + 3*f**2.\nAnswer: 3*f*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/20, -2\/13, 2\/291.\nAnswer: -2\/13, -3\/20, 2\/291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2 - 2 - 1\/3*b**3 + 0*b. Let f = 1 + 2. Calculate n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 817225077 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 3, -5, -1 in increasing order.\nAnswer: -5, -1, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 929114926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -95*s**3 - 62. Let w(f) = 47*f**3 + 31. Let u(c) = -11*w(c) - 6*x(c). Find the first derivative of u(y) wrt y.\nAnswer: 159*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/n**(24\/7) assuming n is positive.\nAnswer: n**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-656)\/(-208) + (-2)\/13. Solve 4*i = 5*i - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531056 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76889, 76867, 76837, 76805, 76777, 76759, 76757?\n\"Answer: k**3 - 10*k**2 + k + 76897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -167*k**2 + 63*k + 5. Let c(m) = -83*m**2 + 31*m + 2. Let s(i) = -9*c(i) + 4*y(i). What is the second derivative of s(r) wrt r?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*k - 1. Let o = -16 + -1. What is the units digit of o\/k - 12\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.042 - -24.693. Round t to one decimal place.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/3350)\/((732\/(-16))\/61*4\/6).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000431 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343431 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255*m - 1250*m - 1256*m + 5014*m - 1258*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from yyyddddnydndndnnnnyn?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1438 = -4*j + 39598, -2*j = 5*y - 19080. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -678, -676, -672, -666, -658, -648?\n\"Answer: r**2 - r - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from hmxjtxhjjmjmjjmmmmjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-48))\/(37\/222)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*i + 5*h, -33*i + 32*i - 2*h = -7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 22 = 2*v + 26, -3*v + 4*q = 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12)\/(sqrt(12)\/sqrt(4)))\/(sqrt(2) - (sqrt(2) - sqrt(8)\/sqrt(4))*-4).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 - (1 + -3 + (-6 - 3 - -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + v + 8 = 60, 0 = 5*t + 4*v + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 21*i - 15. Let b be g(-7). Is -64 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 15*h - 3*h - 6*h to the form r*h + z and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 4.5. Let p be -4*7\/12 - -2. Which is the nearest to p? (a) x (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-772)\/(-10) - (8 + 88\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973229463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u - 13. Let z be n(-8). Let a be z*-1 + 2198\/(-14). Let s = a + 491. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let a be j - 4 - (-46)\/2. Solve 5*s - 2*m + 5 = 0, -5*m = -0*s - s + a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5564, -5483, -5402?\nAnswer: -5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 10. Let l(p) = p**3 - 8*p**2 + 6*p - 8. Let u be l(7). Let s = u + 26. Calculate the smallest common multiple of s and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91740355 and 133350.\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9 - (-16)\/14*175\/(-50)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7476 and 19806416.\nAnswer: 59419248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31885.145 + 187.725. Let b = 32694 - j. Let u = b - 624. Round u to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 6*f - 27*m + 30*m, 0 = 4*f + m + 64 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.507 - 6.507. Which is the biggest value? (a) -0.843 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, t: 3, c: 2}. What is prob of sequence xc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/100 of a litre?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1829504.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2090411*n**2*x**2 + 192*n*x**2 + 31*n*x - 2*n + 7*x**2 wrt n?\nAnswer: -4180822*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.1, -1.4, -5, -1, -2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9*i + 186 = -3*z, 5*z + 2*i + 317 = 0. Which is the third smallest value? (a) 3 (b) -4 (c) -1\/2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.0118, 10\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*i - 2*q, 4*i - 12987 = -5*q - 13127 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 10584*o**3 + 199716*o**2 + 167984*o - 378288 = 0.\nAnswer: -2627, -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = 0, g + 7 + 13 = -5*t. Suppose 0*x + g*x + 3*z = 1, -4*z - 22 = -5*x. What is the second derivative of -5*l**2 + 0*l**x + 3*l + 2*l**2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -133?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*i - 326. Suppose -c + 169 = 3*o, -2*o - 2*c + i = 3*c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 676 - 615. Calculate the highest common divisor of 2257 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -a - 3, -4 = 5*p - 2*a - 10. Suppose p = 4*f + 9 - 25. Suppose 2*w - 3*n = 3*w, -f*n - 4 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27286, 108212, 243092, 431926, 674714, 971456?\n\"Answer: 26977*o**2 - 5*o + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 52 - 84 = 0. Let s = -437\/93 + 1\/31. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24053 - -24057. Solve 57*d - f = 61*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21425, -23194, -24955, -26702, -28429, -30130?\n\"Answer: j**3 - 2*j**2 - 1770*j - 19654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -80. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -56143, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -0.013, -1\/7, -21.6, -4?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -447\/8. What is the fourth smallest value in z, 1, -5\/2, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**5\/5 + 141*n**4\/4 - 2620*n**2 - 4338. Find the second derivative of g(r) wrt r.\nAnswer: 24*r**2 + 846*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 + 903*n + 1013. Give q(114).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*w + 946 + 2*w**3 - 312 - 318 - 2*w**4 - 263*w - 318 + 6*w**2 as a*w**4 + g*w**2 + c*w**3 + o*w + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.12974 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 - 5*s + 4. Let z = 1453 + -1456. Calculate c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 6, s: 1, t: 1, d: 1}. What is prob of sequence vv?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 68. Let s(t) be the first derivative of t**3\/3 - t**2\/2 + 4*t + 6. What is the smallest common multiple of 4 and s(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 5*p - 11. Let d be j(-7). Is (-264405)\/(-120) - d\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose s = -3*u - b - 1, u + 27 = 5*s. Suppose 0 = 3*t - s*k + 4*k - 91, -5*k + 103 = 3*t. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23112, 24054, 24998, 25944, 26892?\nAnswer: 27842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: c6 (base 13) to base 2\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5 + 10. Calculate the remainder when 59 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*p - 4 - 2, 0 = 4*p + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -102288825 to the nearest 10000.\nAnswer: -102290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -5 (c) 0.4599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 2. Let t be c(3). Let q = -18012 + 18032. What is the highest common divisor of q and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 5*q - 8. Let w = -17 + 24. Let t be h(w). Determine i, given that -t*i**2 + 0*i**5 + 6*i**3 + 3 - 6*i**5 - 3*i + 3*i**4 + 3*i**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, u: 3, h: 1, t: 3}. What is prob of sequence thu?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - 25 - (2 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + sqrt(171)*1 + 0 - (-5 + sqrt(171)*2 + -2 + -3))**2.\nAnswer: -66*sqrt(19) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(156) + (sqrt(156) - sqrt(156)*6*6) + sqrt(156))\/sqrt(12).\nAnswer: -33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517.002 micrometers in millimeters?\nAnswer: 3.517002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 4 - 5 - y**2 - 5 - 5*y + 9*y. Suppose 0 = v - 2*h - 16, 5*h + 52 = 4*v + 3. Determine x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4603889 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16282 - 10961. Suppose -7315 = -13*j + k. 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: How many minutes are there between 10:01 PM and 8:28 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -152615440?\nAnswer: 152615435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*u**4 - 8532*u**3 - 65346.\nAnswer: 28*u**3 - 25596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -3 (c) 4972\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23053 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.127 and -9.553.\nAnswer: 1.213231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -5c?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w - 3. Let u be 1*(-5 - 0\/(-1)). Let v be j(u). Let z = -60 + 77. Calculate the highest common factor of z and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2*a**5 + 4*a**4 - 4*a**4) + 35*a**5 - 134*a**4 + 134*a**4.\nAnswer: 39*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = k - 2*n - 134, 0 = 5*k - 4*n - 1351. Let b = 484 + k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(6\/(-15)). Differentiate 3 - 5 + 3*t**2 + r + 2 with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, 2, -3, 469, -1 in ascending order.\nAnswer: -3, -1, -0.5, 0.4, 2, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 31*b + 2. Let y be r(31). Suppose -5*k + 2*k + 4096 = -y*t, 3*t + 4101 = 3*k. List the prime factors of k.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = -48. Let n = -16 + 28. Suppose 0 = 2*t - 3*z + 1, 2*z - 1 + n = 3*t. What is the remainder when l is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 344 - 246)*(d + d**3 - d).\nAnswer: -510*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 + 5. Let o be h(-4). Suppose 2*p - 123 + 25 = -5*v, v = 0. Suppose 5*i - o = p. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**9\/60480 + p**8\/5040 - p**7\/1260 - p**5\/30 - 3*p**2. Let j(w) be the third derivative of z(w). What is j(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g + 3*k, 0*k - 4*k + 92 = -4*g. Let v = g - -58\/3. What is the nearest to -2\/5 in v, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-212)\/(-18) + (-22)\/(-99). Suppose 3*l = k - 3. Suppose -2 = -l*m + 13. Let j(t) = t**3 - 6*t**2 + 5*t - 3. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - -17) + 2649\/6 + 1. Let p = f - 444. Sort p, 15\/8, 0.3 in descending order.\nAnswer: 15\/8, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*r + 156*r + 25*r**3 + 133*r + 134*r - 549*r - 23*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 21*f - 209 = -3*i, 0 = -2*f + 2. Is 9 a factor of 590 - (-1)\/((-10)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3331b2 + 18?\nAnswer: 3331ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 44*c**4 + 7236*c**3\/5 + 65744*c**2\/5 + 205114*c\/5 + 201684\/5 = 0.\nAnswer: -49, -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.57 + -0.22. Let x = l - -0.15. Let j = -3 - -2.6. Which is the biggest value? (a) j (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 1 - 36*v + 0*v**2 + 1\/2*v**4 + 68\/3*v**3. What is the second derivative of u(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 445 = -4*f, 3*f - 339 = 3*x - 0*x. Let c = 116 - f. Put c, -1, -5, 1 in descending order.\nAnswer: c, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let l(b) = 3*b**2 - 2*b - 1. Let d be l(2). Let x(p) = -p**3 + 3*p**2 + 3*p - 2. Let y be x(3). Let t(n) = -d - 5*n + y. Calculate r(t(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -11*g**5\/60 - g**2 + 13*g. Let s(p) = 7*p + 9. Let j(u) = -3*u - 4. Let m(t) = 9*j(t) + 4*s(t). What is m(l(w))?\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3082493 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65853 or -65850?\nAnswer: -65850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927550 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/5 + 364906*r**2\/5 + 4014232*r\/5 - 4379136\/5 = 0.\nAnswer: -12, 1, 182464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 854 + -844. Suppose 3*j - 2*w - 44 = 0, -f*j + 7*j - 2*w + 28 = 0. Suppose 3*k - l = 25, 2*k - k = 2*l. What is the least common multiple of j and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159535?\nAnswer: 5, 31907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -1\/2*a**2 - 9*a - 8. Let d be k(-6). Sort d, -1, -5.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -12.3 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.75933 meters in kilometers?\nAnswer: 0.00675933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 3, 68, 177, 336?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -40*k**3 + 2*k**2 + 90*k - 3. Let p(h) = 41*h**3 - h**2 - 89*h + 2. Let q(i) = 2*g(i) + 3*p(i). Find the second derivative of q(o) wrt o.\nAnswer: 258*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u**2 + 7*u**3 + u - 3*u**2 + 2*u**2 + 1. What is the remainder when 61 is divided by k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384494.\nAnswer: 2, 11, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*j - 69*j + 12. Let b(l) = -65*l + 10. Let p be b(j). What is p rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1036 + 394. Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49166823220 - 49166824100.00000822. Let f = g + 880. What is f rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = -0*a. Let t be -5 + 7 + (-5)\/((-10)\/4). Solve -4*i = -4*f - a, 3*f - 3 = t*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7560404\/33 - 228985. Let i = h + -355\/3. Which is the closest to -1\/2? (a) i (b) -0.2 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19 - 7*a + 10*a**2 + 19 - 45. List the prime factors of u(6).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let r(a) be the third derivative of a**2 - 1\/30*a**5 - 1\/2*a**3 + 0*a + 1\/12*a**4 + 0. Let i be (7\/(-5) - 0) + 14\/35. Give i*d(n) + r(n).\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -494, 34798, -3 in descending order.\nAnswer: 34798, -3, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9400791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q + 1. Let u = 208 + -208. Let s be p(u). Solve -4*y - 7*v = -3*v + 20, -3*v = -4*y + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -844001*g + 5. Let k(i) = -8*i**2 + 21*i - 5. Let j be k(2). Let w be r(j). Round w to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h - 36. Let c(p) = 16*p**2 + 2*p + 1. Calculate the remainder when o(-10) is divided by c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-4 - -1 - 15). Let y be 2\/8 - (-235)\/x. Let p = y - 8. Solve -16 = 2*f - p*k, 3*k - 6 = k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -2. Suppose -3*t - 4*c + 2 = 0, 5*t + 2*c = i*t. Let n = 3 + -2. Sort t, -3, n in decreasing order.\nAnswer: t, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by -163.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, z: 3, q: 4, w: 4, n: 1}. What is prob of sequence cz?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and (28\/10 + -1)\/(9\/60).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*g - 98 = -401*g - 6*b, 2*g + b - 14 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -481076999*m**4 - 607284768 wrt m.\nAnswer: -1924307996*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -5*a**7\/42 + 8*a**6\/3 - 7*a**5\/2 - 20*a**4\/3 + 25*a**3\/2 + 7517*a. Solve k(l) = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - 6\/(-4). Suppose 0 = 2*v - 0*v - 8. What is the second derivative of w - v*w + 4*w + 2*w**m wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 29. Let n be v(5). Let h(i) = i**2 + 23*i - 22. Let j be h(n). What is the third biggest value in j, 1\/2, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/20*-1)\/((-264)\/(-2750)*(-5)\/2).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889222 is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 822, 1645, 2532, 3483?\n\"Answer: 32*l**2 + 727*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*z - 18, -z = -3*f + 13 - 4. Factor -585 + 567 - 2*i**2 + 4*i**f.\nAnswer: 2*(i - 3)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3470 (b) -5 (c) 7\/4 (d) -0.012\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4310\/11, -1, -4\/3.\nAnswer: -4310\/11, -3, -4\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.0044326 minutes in weeks?\nAnswer: 0.00525837625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**3 - 3 - 10*n**3 + n**3 + 2*n. Let v(w) = -4*w**3 + 5*w - 5. What is -5*h(c) + 2*v(c)?\nAnswer: 2*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1413 at least as big as -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16773 - -245052604\nAnswer: 245069377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8740 - 9566*v + 8740 - 331*v - 4724*v.\nAnswer: -14621*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from {v: 2, f: 3, i: 1, p: 3, l: 1, t: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - h - 66 = 0. Sort 1, -103, h in ascending order.\nAnswer: -103, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/(9 - -3)). Suppose 0 = b*o - 4*i - 12, 3*o = 6*o - i - 11. Suppose 4*p = -5*j + 118, o*j - 5*p - 36 = 83. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*k - 202 = -5*g, -184 = -3*g - 4*k. Suppose 4*w - g = -0*w. Suppose h = -m + 99, h - m = 75 + w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -13*p - 3*f + 29, 0 = 5*p + 4*f - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -2619826.\nAnswer: -28\/1309913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14*h**2 + 21*h. Let i(x) = -3*x**2 + 4*x. What is 21*i(m) - 4*j(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9331622 centimeters in kilometers?\nAnswer: 0.000009331622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203388 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 0 - -2) + (-1 - -6). Suppose 75\/4*n**4 + 3 - 105\/2*n**d - 21*n + 207\/4*n**2 = 0. Calculate n.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0048 + -0.022. What is h rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 5*m - 3*m)*(25 + 6*m**4 - 25) + (1 - 1 - 2*m)*(-m**3 + m**3 - 2*m**4) + 1 + m**5 - 1 - 3*m**5 + 5*m**5 - 5*m**5.\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69576568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65016 divided by 9.\nAnswer: 7224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2*o + 0*o - 9*o**2 to the form l + r*o + s*o**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 1. Let n be x(-3). Suppose n + 21 = 5*d. Suppose 0 = 4*w - 47 - 17. What is the highest common divisor of d and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y + 1. Let o be 7*(1 - (-6)\/(-3)). Let x be f(o). Solve 2*s = 5 + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 take away -110?\nAnswer: 110.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*k + 2044 = 0. Suppose -k = -p - 3*p. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63932, -63886, -63806, -63686, -63520, -63302, -63026?\n\"Answer: y**3 + 11*y**2 + 6*y - 63950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4092388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 187.\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1 - 8*j - j - 4 + j + 5*j**2 + j**3. Let g be p(-6). Let t = 3 + g. What is the greatest common factor of 132 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45998383 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11e0cc8 (base 15) in base 4?\nAnswer: -301010003012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1.065\nAnswer: 1.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 15. Suppose 30 - 15 = f*p. Solve 0 = 4*r - p*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46377343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10021192*s**3 - 5*s**2 - 84393697*s.\nAnswer: 60127152*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z - 3*z + 428, 3*z - 1284 = 4*n. Suppose -v + z = 3*v. Differentiate -v*l + 8 + 107*l - 7*l**3 with respect to l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600 + 1291. What are the prime factors of o?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from {d: 1, p: 4, n: 1, v: 5, o: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzctwyhttz. Give prob of picking 1 w, 1 h, and 2 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o + 3, 0 = 3*i - 5*o - 15. Let c = i - -9. Factor c*q**2 - 12*q + 5 + q - 3.\nAnswer: (q - 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 - 18 = 0. What are the prime factors of 1 - f - (-727 + -11 - 4)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26306651 divided by -3?\nAnswer: -26306651\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = a + 42 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 54*m**2. Let c(w) = -w. Give v(c(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/180 - 19*i**4\/6 + 722*i**3 - 659*i**2. Suppose q(h) = 0. Calculate h.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1325, 25.3.\nAnswer: -1325, -2\/11, 25.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 2. Let m(k) = 4*k**3 - 5*k**2 + 2*k. Let b(f) = -2*f**3 + 3*f**2 - f. Determine p*m(d) - 5*b(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 818 - 812. Solve y*g - 13 = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -242, 3, -5 in increasing order.\nAnswer: -242, -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1170637?\nAnswer: 2\/1170637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -42, 130, 20, -1 in ascending order.\nAnswer: -42, -4, -1, 20, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 40 = 26*a. Let n be ((-5)\/(-2))\/(a\/4 - 2). What is the least common multiple of (n - 1) + -2 - -10 - -4 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1592, 832, -10 in increasing order.\nAnswer: -10, 832, 1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 9. Let o be 3720\/(n\/15*3). Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 16) + -50 + 38.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9845 + -1858. Suppose p = 2*g + 5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2335513 times -3.9?\nAnswer: 9108500.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 2*k, -5*u - 2 = 5*k - 7. Solve -b = u*b + 5*o + 17, -b = 3*o + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:23 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135948190?\nAnswer: 2, 5, 7, 83, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 2*y**2 + y**2 - 1 - 23*y**3 + 2*y + 0 as i*y**3 + b*y**2 + v + o*y and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k + 14824. Let y(u) = -13*u. Calculate r(y(a)).\nAnswer: 91*a + 14824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b + 4b1c?\nAnswer: 4a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*g = -18757, 3*h + 2*h = -7*g + 18748. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 + 3 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - v + 5. Let k be i(0). Suppose q + 11 = -k*x - 0, 5*q - 14 = -2*x. Solve -2*h = 3*h + q*z - 28, 0 = -5*h + 4*z + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-33)\/7)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from urvuurruuruvrrr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003877 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85570672, -85570675, -85570678, -85570681, -85570684, -85570687?\n\"Answer: -3*s - 85570669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - -3*1*sqrt(204)) + sqrt(204))\/(1*sqrt(108)))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = u - 5*u. Let j be (-9 - (1 + -14))\/(40\/((-16)\/(-4))). Sort 13, u, j, -3\/4 in decreasing order.\nAnswer: 13, j, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-36) + (-88)\/(-9). Is (2\/(-8))\/(k\/(-31480)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33779.87 to the nearest 10.\nAnswer: -33780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*s = -3*s - 97, -2*s = 4*o - 138. Calculate the smallest common multiple of 2 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51950 by 184.\nAnswer: -25975\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -62. What is the second smallest value in a, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.14*183.78\nAnswer: 1128.4092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/12 + -2 - (-55)\/15. Let k(a) = -a - 32*a**3 + 68*a**b - 18*a**2 - 35*a**3 + 22. Let j be k(18). Solve -3*l - j = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 0.5, -1\/4, -0.5, 526, -0.2, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 14050 divided by -5\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1103060904 and -6?\nAnswer: 1103060898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3 + 2*b + 270*b**2 - 293 - 255 - 5 + 76*b**2 - 12 wrt b.\nAnswer: 42*b + 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 26555 - 1907 = 3*v, -3*v + 22748 = 4*p. Does 94 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 9. Let d = -3 + n. Let w = 3 - d. What is the nearest to w in 2\/9, 1, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24634 to three decimal places.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - (-12)\/4. Let z(h) = 2*h**3 - 10*h + 7. Let y be z(2). Differentiate -3*i**b + 25 + i**y + 0*i**3 - i**3 with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 2 + y**2 - 5*y + y. Let l be q(7). Let j = l - 2. Let i(u) = -u**3 + u**2 - 5. What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052*l**2 - 7*l**3 + 2097*l**2 - 1042*l**2 + 25*l**3 + 16*l**3.\nAnswer: 34*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 326*t - 11106. Determine a(48).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232141 + -2?\nAnswer: 232135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + (-3)\/(-9). Solve v*c = c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*w + 118 - 118 - 22*w**3 wrt w.\nAnswer: -132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4 + 399*v**3 - 19383*v**2 + 18981*v = 0.\nAnswer: -171, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1223 - -17?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 2504 - v**2 - 2504. Let y(c) = c**3 + c**2. Determine 2*h(m) + 3*y(m).\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 - 69. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 544 - 530. Let p(m) = 379*m**2 + m - 1. What is the units digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8 and 17\/380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -25. Suppose 0 = -n*z + 3*z + s + 11, z - 3 = s. Suppose 4*d = 4*b - d - 29, 0 = -4*b - z*d + 56. Calculate the highest common divisor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -2*p**3\/3 - 3*p**2 - 540*p. Determine y(11).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a + 0*a)*(147 - 147 + 29*a**4).\nAnswer: -116*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6820, 24, -4, 151 in decreasing order.\nAnswer: 6820, 151, 24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385*j**3*p**3 + 6*j**3*p**2 + 2*j**3*p + 21*j**2*p**2 + 6*j*p**3 - 4*j*p**2 - j wrt j.\nAnswer: 2310*p**3 + 36*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 89 = -9. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 22*g - 26. Determine d(18).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 2*m = -247. Suppose 0 - 4 = -s. Suppose b + 219 = s*b. What is the remainder when b is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9907.178 centuries in millennia?\nAnswer: 990.7178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (2 + sqrt(112)*-2 - (-2*sqrt(112) + -3 + sqrt(112))**2 - (sqrt(112) + 4*(sqrt(112) - (-1 + sqrt(112))) - 4*(sqrt(112) + -1 - sqrt(112)))**2).\nAnswer: -290 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-16)\/(-12))\/((-44)\/198) - 51?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 3*o - 11. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145316 is divided by 144889.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.094 or -11867\/4?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6*f - 18. Suppose -118 + 238 = 12*g. Let c be (1\/(-13 + g))\/(2\/(-216)). What is the highest common factor of c and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 0*v + 0*v**3 - 2\/45*v**5 + 0*v**2 - 1\/27*v**6 + 0*v**4 + 21. Determine s, given that t(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:14 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by (180\/(-12))\/((-2)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 727 - 2521. Let j = y - 569. What is the remainder when j is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**2 + n + 22. Let v(s) = -4*s**2 + 8. Let z(o) = -8*v(o) + 3*y(o). Let f(k) = k - 1. Let p be f(6). Suppose -5 = -2*d + p. Give z(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14933*s = -14933*s + 4*t + 28, 0 = -s + 4*t + 28 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doo when three letters picked without replacement from oddooododd.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 + 4)*-4)**2 + (sqrt(50) - sqrt(50)*1) + sqrt(14)\/sqrt(28).\nAnswer: -255*sqrt(2)\/2 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5496 and 5081052.\nAnswer: 10162104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u*u**(-5))\/u*u)*u)\/u))\/u*(u\/(u*u**6))\/u*u*(u\/u**0)**(2\/7) assuming u is positive.\nAnswer: u**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15*((-3375)\/(-90))\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((1122\/(-88))\/(-51))\/(2\/(-76)*1)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -10*k - 56 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 18. Let a be (14 + (1 - 3))\/(21\/14). Let f be b(a). Solve 0 = 3*d - f - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, y: 4}. Give prob of picking 2 y and 1 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzzzkzzqzzzrkzqzkqg. What is prob of sequence kz?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 4*g**3 - 2*g**3)*(13*g - 9*g + 2*g) + (0*g**2 + 0*g**2 - g**3)*(4*g + 5*g - 3*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1422 + -1421.7. Which is the nearest to 0? (a) -2\/11 (b) 16\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -90. Solve 0*s = 3*s + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -5*l**3\/6 - 7*l. Let t(g) = -9*g + 1. Let h(a) = 6*t(a) - 11*z(a). Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 11*m**6\/120 + m**5\/120 + m**4\/4 - 7*m**2. Let b(g) be the second derivative of c(g). Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 16 - 2662 = 0. Is 39 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5776353, -5776322, -5776291, -5776260?\n\"Answer: 31*o - 5776384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 27. Suppose -2*t + 3*c = -3*t + 18, -t + 5*c - 22 = 0. Let o be h(t). Is o >= -15\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*a - 15 = 0, 5*u - 3*a - 20 = 2*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -13*g**6\/40 - g**5\/60 - g**4\/24 + g**3\/6 + 9*g**2. Is 20 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l - 12. Let i(s) = s. What is 6*i(j) - u(j)?\nAnswer: -j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (532\/(-95))\/(16\/40).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 22638?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 8. Let q(r) = -7. Let x(w) = -4*g(w) + 3*q(w). Let m(f) = -5. Let c(i) = -53 - 57 - i + 105. Let k(o) = -2*c(o) + 3*m(o). Give -13*k(n) - 6*x(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**3 + 5. Let l(f) = 7*f**3 + 4. Suppose 2*k - 252 = -5*k. Let b = -31 + k. What is b*l(j) - 4*d(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617298243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 1. Let x(a) = 20*a + 76. Let i be x(-4). Let u(s) = 2*s**2 + 1. Let p(g) = i*u(g) - h(g). Let c(r) = r. Determine c(p(k)).\nAnswer: -4*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -38\/155, -3\/5, 1, -0.05?\nAnswer: -38\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1+-2.174\nAnswer: -3.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, r: 1, l: 1, c: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p**3 + 1. Suppose -8*y = -379 - 349. What is the remainder when y is divided by m(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by (4459\/14)\/(-13)*8\/(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3406)\/(-130) - (-2)\/(-10). What is the highest common factor of a and 4121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2813389 is divided by 562597.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1 + 2*p**2 - 3 + p**3 - p**2 - p. Suppose 0 = w + 3*g + 6, 4*w = -4*g + 8*g + 8. What is r(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 117 = -18*h. What is the remainder when 52 - (-1)\/(-1)*2 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -254*a**5\/15 + 1144*a**3\/3 - 1125*a**2. Find the first derivative of r(k) wrt k.\nAnswer: -2032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 525, 1184, 2107, 3294, 4745, 6460?\nAnswer: 8439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**5\/12 - 65*x**4\/36 + 215*x**3\/9 - 60*x**2 - 182*x. Factor v(k).\nAnswer: -5*(k - 4)*(k - 1)*(k + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3 - 25. Suppose -5*o + a + 2*a = -80, -2*a = -o + 9. Suppose -r*g + o = -16. Solve -3*m + 2 = g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 303 - 293. Let o be j + 20 + 1 + 6. What is the greatest common factor of 259 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (5 + -9)*-1. Suppose -4*j + 2*j + 10 = 0, -5*y + 40 = v*j. Solve -7 = -2*p + z, -y*z + 3 + 2 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c**4 - 31402*c**3 + c**2 - 231159660*c?\nAnswer: 168*c**2 - 188412*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r - 321 = -3*x, -3*x - 15 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 10*t - 810. Let o = -46 + t. Let b = o + 23. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807519687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -24.66. Let g = -0.04 + s. Which is the third biggest value? (a) 1 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -16. Let t = b - -18.1. Let p = -3.2 + t. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864325.\nAnswer: 5, 7, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -23*t - 17\/12*t**4 + 0*t**2 + 11\/3*t**3 + 0. Find the second derivative of v(f) wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (5 - 12) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274050229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/799805666?\nAnswer: -1\/799805666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**8)**49 assuming x is positive.\nAnswer: x**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*j = -5608 + 1027 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 589 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092474663 to 6 dps.\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-2)\/3*-6*-1. Let o(t) = -1. Let d(s) = -s**3 - 5*s**2 - 4*s - 4. Let x(f) = -d(f) + 5*o(f). Give x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*-65*24\/208?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19376 + 10*n - 19376)*(4 - 1 - 1) to g + m*n and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33495.937 - -72.\nAnswer: 33567.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from ooyyyoooooyyyy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h - 153 = -40 - 67. Let m(o) = -o**2 - o. Let c(l) = 25*l**2 + 2*l. Calculate h*c(g) - 4*m(g).\nAnswer: -21*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 129?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*l - 17 = 3*m, 2*m - 4 = -4*l. Suppose -12 = -m*v, -5*g = -4*v - 340 - 93. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17465640?\nAnswer: 2, 3, 5, 145547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 1:05 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 divided by -9?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 + -4 + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2162 or 2168?\nAnswer: 2168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-828)\/161 + (-2)\/(-14). Let t(l) be the first derivative of -29*l**2\/2 + 4*l - 3. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 0, -t + 2*t - 3*x - 5 = 0. Let j = 0 + 0. Let g be j\/(-1 + (t - 2)). Solve g = -0*m - 3*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 25 - 23 - 25)*(-7*f - 3*f + 3*f).\nAnswer: 651*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8359031353 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289874 greater than 1289881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-393)\/(-10480))\/((-24)\/20)*(-2)\/1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5587 divided by 6941.\nAnswer: 5587\/6941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.85261 and 0.2.\nAnswer: -0.65261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77969 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*g - 2*i + 1, g - 2*i - 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxwntoxx. What is prob of picking 1 n, 1 t, and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 1, 2, -39, 7, 69 in descending order.\nAnswer: 69, 7, 2, 1, -38, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 + b**4\/2 - b**3\/3 + b**2\/2 - b. List the prime factors of i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11324.4713 and -0.13946.\nAnswer: 11324.33184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3608 and -16.\nAnswer: 85.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 12*l + 16. Let p be y(-14). Which is smaller: p or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337459 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.11441?\nAnswer: -3.88559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19613176 to the nearest integer?\nAnswer: 4429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2211\/7? (a) 0 (b) -2 (c) -1\/7 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490817*18.\nAnswer: -8834706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 11280828.\nAnswer: 1060397832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 8458949.\nAnswer: 15\/8458949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438882649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 125 + 33?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759697 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245697998 and 11388.\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 43*k**2 + 8*k + 13. Let w(o) = 11*o. What is w(g(y))?\nAnswer: 473*y**2 + 88*y + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 + (-942)\/192 + -3 and 111\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 280 + -277.53. Let m = 0.53 + u. Sort m, -3, 23.\nAnswer: -3, m, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qqqqqqqqwqqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030313 divided by 211.\nAnswer: -4883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255984*m - 2*k - 160 = 255980*m, -3*m = 2*k - 120 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4682)\/(-14))\/(288\/12096)?\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = -2. Suppose c = 2*f - 6*f - 3*z, 0 = -5*f + 4*z + 22. Solve -5*m = 0, -m + 16 = -4*h + f*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 - 11*r - 60. Let g be b(16). Solve -4*i - c + 3*c = -16, -2*i - g*c + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6603, 6630, 6667, 6708, 6747, 6778?\nAnswer: 6795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*f*o**3*u*y - 1554527*f*o**3 - 7*o**3*u*y - 27060*o**2*u + 5*o*u*y wrt f?\nAnswer: -5*o**3*u*y - 1554527*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose 4*u - u - 12 = x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5. Let x(s) = -3 + 11 - 9. Give u(l) + 5*x(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.269555 to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 9. Let k(a) = -2*a**2 - 3925 + 1375 + 2563. Let z = -29 + 21. Calculate z*i(f) - 5*k(f).\nAnswer: 2*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16 and 67\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 340 - 337. Find the second derivative of -5 - 3*i + 90*i**5 - 14*i + 8*i**m - 20*i**3 - i**4 + 12*i**3 wrt i.\nAnswer: 1800*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = n - 2, -f = 3*n - 34. Suppose -3*l - 3*o - 9 = 0, 5*l - l = 2*o - 30. What is the remainder when 1\/(-3) + (-140)\/l is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.091758 + 0.09021932. What is s rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 83 + 3 + 2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9792 = -7*g - 5*g. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*n**2*x**3 - 17325*f**2*n + 3*f**2*x - 7*f*n**2 + 90*f*x**3 - 6*n**2*x**2 wrt f?\nAnswer: -2*n**2*x**3 - 34650*n + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x**2 + x**3 + 32*x + 21*x**2 - 34*x**2 - 31*x - 1 - 19*x**4 in the form h*x**4 + g*x**2 + l + o*x**3 + i*x and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Let u = 7 + c. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 755332\/177261 - 2\/7707. Is l greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from xrd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/4 + 996*l - 3. Let u(w) = -687*w. Determine o(u(z)).\nAnswer: -1415907*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 1355*r**3 - 51530*r**2 + 4428680*r - 37828800 = 0. What is r?\nAnswer: -71, 10, 36, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25 - c**2 + 1789*c - 1803*c + 11. Let x be g(8). Let p = -60 - x. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 5*z**2 - 3*z + 5. What is x(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3212 and 876.\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + 54*r**2 - r - 8. What is a(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + -1 - -5. Let o be 13\/18 - g\/18. Determine z, given that 0 - z - o*z**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12720672 and 191399?\nAnswer: 165368736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 576605?\nAnswer: -576605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - -17. Suppose -4*i = -5*c - 2*i + 185, -4*c + g = 2*i. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*i - 197713 = 0, i - 39539 = 5*o - 6*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15257214 rounded to the nearest ten thousand?\nAnswer: 15260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 75*h**3 + 6 + 2.\nAnswer: 75*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 2*i - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151440.\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1620247 (base 9) to base 3\nAnswer: -1200200021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 2857.\nAnswer: 262844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 940\/7. Let g be ((-8)\/(-60))\/((-10)\/12). Let c = -37\/75 - g. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 114?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/2 + 501*f**2\/2 - 1009*f\/2 - 1509\/2 = 0 for f.\nAnswer: -503, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 194.0415 * -2\nAnswer: -388.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1. Let u = -0.7 - w. Which is the third smallest value? (a) u (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**2 - 6*g**2 + 2*g**3 + 9*g**3 + g**2 wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d8214 (base 15) to base 8.\nAnswer: -21062645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = b - m, -25 = 5*m. Let t be (b\/(-9))\/(7\/210). Find the first derivative of -12 + 1 + t - 13*i + 7 wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (105\/(-10))\/3. What is the nearest to 0.2 in -0.4, v, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = -f, -3241*f + 3242*f - 3*l - 8 = 0. Solve f*c = 16*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 748202, 1496404, 2244606?\n\"Answer: 748202*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*g**2 + 807*g**2 + 807*g**2 + 822*g**2 - 3237*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/659196 and -73\/30103284?\nAnswer: 90309852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -b7ba221?\nAnswer: -b7ba218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**9\/1512 - z**8\/840 + z**7\/420 + z**6\/180 + 11*z**3\/3 - 5. Let v(u) be the third derivative of r(u). Solve v(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 - 3 + 0 + 2 + 1 - 2 - 1 + 2 + 2 - 5 + (-2 + 4 - 4)*(0 - 4 + 5))*(12*g - 129 + 2*g + 188).\nAnswer: -70*g - 295","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**3 + 0*o**2 + (3*o - 2*o + o)*(-3*o**2 + 3*o**2 + o**2) - 6699 + 6699 - 164*o**3)*(2*o + 2*o - o)*(1 - 1 - 1).\nAnswer: 483*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 2. Let d(f) = 736*f + 4. Determine d(m) - 2*w(m).\nAnswer: 734*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-27)\/6 - (-990)\/(-276). Let d = t - 28\/207. What is the common denominator of (-4)\/7*(-14)\/15 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31788 and 2772620?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.7247 plus 11.01?\nAnswer: 439.7347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/((m*m\/((m*m*m\/m**2*m)\/m)*m)\/m))\/(m*m**(-5)*m*(m*m**5)\/m) assuming m is positive.\nAnswer: m**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14078*q**2 + 15*q + 96. Let o(n) = 2011*n**2 + 2*n + 13. What is 22*o(t) - 3*r(t)?\nAnswer: 2008*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 30*y - 111. Let t be w(18). Suppose -k = 4*g - 3*k - 16, 4*k = -4*g - 8. Put g, t, 0.7, 1\/3 in increasing order.\nAnswer: t, 1\/3, 0.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/4)\/((s*s**(-1))\/s))\/(s**(1\/7))**45 assuming s is positive.\nAnswer: s**(-187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-8 - 8) + 7)) + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 18 + 19 + 29 - 9 + 30*u. Is q(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.21 + 0.21. Which is the smallest value? (a) -3 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24948 and 2268.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 2:02 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7300*s + 7311*s + 55 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -91. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 21*u**2 + 35*u - 15. Suppose 143*s - 74 = -1790. Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/726)\/(8\/(40\/(-5)))*2?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*sqrt(363) + -4 + 5 + (sqrt(363)*-3 + sqrt(363))*-4)**2*2.\nAnswer: -1452*sqrt(3) + 87864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238922 is divided by 78712.\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*i - 204 - 2325 = 1777*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c - 0*o - 4*o, o + 32 = -4*c. Let a(f) be the third derivative of -f**5\/60 - 7*f**4\/24 + f**3\/3 + f**2. Determine a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18658549.\nAnswer: 7, 13, 379, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365248116 divided by -121749372.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -11. Let u(k) = -k**3 - 3*k**2 + 9. Let h be u(-2). Solve o = 4*v - 0*v + h*x, -v = -x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = 320*a - 315*a - 2*x, -12 = 2*x. Solve -139*i + a*i + 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u - 13*u + 621. Suppose i - 33 = -i - x, 2*i - u = x. Calculate the remainder when 178 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(189) + 2*sqrt(189) + sqrt(189) + sqrt(189))*3 - sqrt(189))\/sqrt(3))**2.\nAnswer: 12351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7.4. Let r = 0.0367 - 0.0367. Which is the closest to r? (a) y (b) -4\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -37. Put 5, -2, m in decreasing order.\nAnswer: m, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 532 = 5*b. Let s be b\/(-5) - 6\/30. Suppose 3*k = -2*k + s. Solve -k*p + 15 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 166 - 207 = 67 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 419 - 414. Suppose 11*s + w*r - 1773 = 8*s, r + 599 = s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 10*c + 1. Let q be p(16). Let t = 24 - q. What is the greatest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-2)\/(-24)) - 4956480\/(-5). Round u to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktq when three letters picked without replacement from ktfukktkqqtmttkftk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11152 (base 6) to base 13.\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16\/7)\/o*o**27)\/(o**(-10\/9)\/o)**(-17))**(-2\/9) assuming o is positive.\nAnswer: o**(1534\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 197548175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-7\/5)\/l)*l**(3\/11) assuming l is positive.\nAnswer: l**(202\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 2. Suppose -3*m = 2*m + 30. Let i be (-102)\/27 + m\/27. Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300, -25, 0, 4, 1, -31 in decreasing order.\nAnswer: 300, 4, 1, 0, -25, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1334 to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1458 + -1501.92. Let a = 0.08 - k. Let o = a + -42.7. What is the third smallest value in 0.2, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 48. Let f be ((-35760)\/112)\/15 - -21. Which is the third biggest value? (a) 3 (b) -2 (c) y (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 22*d + 3. Let u(j) = 353*j**2. Determine u(o(r)).\nAnswer: 170852*r**2 + 46596*r + 3177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1180*n - 1 + 594*n + 134*n**4 + 590*n to the form d*n**2 + o*n + y*n**4 + k*n**3 + h and give y.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409101.\nAnswer: 1409101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1532421 + 1?\nAnswer: -1532420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*w - 5, -2*w = -x - 0 + 1. Let z(j) be the first derivative of j**3\/3 - 4*j**2 + 9*j + 3. What is z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 1, v: 2, n: 3, j: 3, l: 1}. Give prob of sequence gvnv.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.4 - 68. Let i = -26.5999428 - l. Round i to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.6 + -4.1. Let j = -9 + x. Let n be (1*-4)\/(232\/(-174)). What is the smallest value in j, 22, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2 and 171\/(-12)*2\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201341*a - a**3 - 201341*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4344, -8628, -12854, -17022?\n\"Answer: 29*q**2 - 4371*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -344, -537?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40278 + -40276. What is the remainder when 3148 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.9 - -9. Which is smaller: -0.2 or k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11 and 27\/2608139?\nAnswer: 28689529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.08397?\nAnswer: -0.28397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1777712\/9 - -197763. Suppose -a = 3*a + 956. Let w = a + q. What is the nearest to 1\/4 in w, -0.3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 4, -386 in decreasing order.\nAnswer: 4, 3, -17, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*g**2 + 522\/7 + 519\/7*g = 0 for g.\nAnswer: -1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 21*l - 21. Let t be p(-9). Let o(b) = -8*b + 29 + 5*b - t*b - 8*b. Is o(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81852.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - y - 4*y = -535, 2*r + 5*y - 275 = 0. Let s be 8\/6*(-18)\/(-4). Suppose -s*o + o = -r. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*5\/(160\/28)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2\/(3 + -2). Let r be (69 - 4) + 3\/(-1). Suppose -3*t = 2*d - 24, 7*t - q*d - r = 2*t. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411442.9ug in nanograms?\nAnswer: 411442900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*u - 124*u - 112*u)*(6 - 3 - 1).\nAnswer: -406*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.7933, -821, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/3 - 19738*z**4\/3 = 0.\nAnswer: -19738, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - 75. Suppose 2*s - z = -o, -1 - 8 = -o + 4*s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 52*b**2 - 176*b - 889. What is h(6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 3:20 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21 = 2*f. Suppose j + j = 3*v + f, -3 = -2*j - v. Suppose 3*l - 3*d = j + 1, 0 = -l - 5*d - 5. Let k(i) = i**3 + 3. Determine k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1.8, 1\/5, 2, 11.\nAnswer: 2\/13, 1\/5, 1.8, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6670224 years?\nAnswer: 0.0006670224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812046?\nAnswer: 2, 131, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5005339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*n - 16, 2*u + 8 = 4*u + n. Solve b = 5*v + 9, 4*b - u*b - 9 = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332994767 is divided by 121?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 222887 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(539)*2*-1*5)**2.\nAnswer: -420*sqrt(11) + 53909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -268*l + 532. Let f be q(2). Put 24, f, -2, 5 in ascending order.\nAnswer: f, -2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + 257\/24. Let u be 12*27\/(-3888)*-120. Is u smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21*t + 18. Let v(o) = -36*o - 17. Let n(q) = 3*s(q) + 2*v(q). Determine n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.2637kg to milligrams.\nAnswer: 695263700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*s = 3, -27*s = 2*w - 24*s - 2. Let v be 2\/(-1) + (-12)\/(-10). Let n = 1 + v. What is the nearest to w in n, 2\/7, -4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59166273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*o**2 - 93*o - 2 wrt o?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-3814.\nAnswer: 15256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 1, q: 1, k: 1, z: 1, d: 1}. Give prob of picking 1 k, 1 z, 1 d, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -5*h - 23, -4*s + 3*h = -36. Solve 7*t = -2*t - s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/28)\/(24\/84)*(-6)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 - 129. Suppose 39 = -5*f - i. Suppose 5*b - 39 + 229 = 0. Are f and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331 - 226. Let z(q) = -q**2 + 6*q + 7. Let a be z(6). Let p = a + 8. Calculate the greatest common factor of p and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let r = 33.8 + -30.8. Which is the closest to u? (a) r (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 17, 130 in increasing order.\nAnswer: 17, 92, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1181, -1970, -2315, -2222, -1697, -746?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5427a0 (base 16) in base 5?\nAnswer: -2402441133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129884 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 - 3 - 4 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxi when three letters picked without replacement from {k: 3, e: 1, i: 1, x: 3, c: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*h - 5*x, -213*x = -5*h - 216*x + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13123 - 26103 + 2*v**3 + 12980.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 33100130010?\nAnswer: 33100123122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 314 - 168?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 530, 529, 528, 527?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 635595 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -838, -1150, -1462, -1774?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 112\/35 - 1)*(69\/(-9) + 6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4291 = -3*g + 2*v, -171*v + 175*v - 5720 = 4*g. Is g greater than -1429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from svvsvvv?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 17953*k + 554636. Calculate f(31).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - -249. Calculate the highest common divisor of i and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 28 + 33)*(7*i - 5*i + 7*i)*(-2 + 2 - 2).\nAnswer: -234*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11312 a multiple of 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jowj when four letters picked without replacement from {j: 10, w: 3, k: 3, t: 2, o: 2}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85264936?\nAnswer: 2, 10658117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1257 + -8?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7)*c*c*c**(-6\/11)\/c)\/(c\/c**4*c*((c\/(c\/(c**8\/c)*c))\/c)\/c)*(c*c\/c**(-2\/3))**19*(c**(-4)*c)\/(c*c**(-7)) assuming c is positive.\nAnswer: c**(12139\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -21*l - 143 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2604*y**2 + 85088 - 85088)*(-y - 1 + 1) + 1 - 2 - 4*y**3 + y**2 + 5*y**3.\nAnswer: -2603*y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 1 - (-8 - -3). Suppose -l*b = -1 - 1. Sort b, -5, -1 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1786, 1747, 1672, 1555, 1390, 1171, 892?\n\"Answer: -l**3 - 12*l**2 + 4*l + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*6 + 489629. Let b = f + 290374. Round b to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2 - 62)*4. Sort m, 3\/7, -5 in increasing order.\nAnswer: -5, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3576249 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(-1\/4)*a*a)\/a*a)**(-37) assuming a is positive.\nAnswer: a**(-703\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 3. Let u be a(7). Let w(z) be the third derivative of z**5\/30 + 7*z**4\/24 + z**3 + 48*z**2. Determine w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4833134*b**2. Let y(s) = 2*s. Determine y(o(q)).\nAnswer: 9666268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.1756, 4\/27, 1, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 119*d = -114*d - 2*d - 50, -p + 39 = -2*d for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 10*y**2 + 16*y - 16. Let v be j(-7). Solve 12 = 15*g - v*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 15*z - 40. Let u be x(-15). Let t(p) = 7*p - 1. Let c be t(-4). Let o = c - u. Calculate the remainder when 20 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. Suppose -2*x = -l*x + 354. Suppose 2*m = 3*b - 39, -5*b - 40 = m - x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 18*o. Is ((4 - o) + -3)*141 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 3*z - 4*z)*((3*z - 2*z + 0*z)*(-2 - 3 + 3) + 0*z - 4*z + 3*z + z - z - z)*(95 - 10 + 186) to the form y + i*z**2 + a*z and give i.\nAnswer: 4336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.827 - -3.60513321.\nAnswer: -24.22186679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -4, 13, -5 in increasing order.\nAnswer: -12, -5, -4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46372.11 kilometers in millimeters?\nAnswer: 46372110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70720 divided by 4?\nAnswer: 17680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0656 - -2.0656. Is 0.279 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101022011020 + -11?\nAnswer: -11101022011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o - 4. Let k = 4 - o. Let t be 9\/k - (-5)\/(-10). Solve -9 = 5*f + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2 - sqrt(99))*3)\/(sqrt(9) + -2*(sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f*j - f*r + f - 92*j*r + 171*j + 130*r wrt r?\nAnswer: -f - 92*j + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -15 + (24 - (-11 - -9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 9) in base 5?\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7)*3\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 4, q: 6, h: 3, i: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1615)\/(-19665) - (-2)\/(-18)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1215, 2484, 12291, 31260, 62445, 108900, 173679, 259836?\n\"Answer: 509*r**3 + 136*r - 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - -1*sqrt(3)*-1 - (sqrt(363)*2)**2.\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11874, -23763, -35666, -47589, -59538, -71519, -83538?\n\"Answer: -c**3 - c**2 - 11879*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187171904 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*z**3 - 902*z**3 + 1905*z**3 - 502*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257392801 to the nearest integer?\nAnswer: 16043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d - 68*d + 12 = -12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 12*l - 6. Suppose -2 = -5*n - 7, 2*p + 31 = -5*n. Let h(q) = 15*q**2 + 25*q + 13. Calculate p*z(w) - 6*h(w).\nAnswer: w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 53205*h**3 + 6*h**2 + 2*h - 8. List the prime factors of w(1).\nAnswer: 3, 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(10)*1)*-2)\/(-3*sqrt(18)\/(2*sqrt(6))))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481027526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c + 6. Let o be y(-19). Let a = -54 + o. Calculate the greatest common factor of a and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 20. Let w be -6 + (b + -1)\/(-4). Let r(c) = 0 + 1 + 5*c + 0 - 4*c. Give r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 + 266 + 65*l**2 + 57*l**2 - 51*l**2 - 793 + 263.\nAnswer: 71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2084.66 and -5.\nAnswer: 2079.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-84)*(0\/21)\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(32)\/sqrt(512)))\/(sqrt(112)*1 - sqrt(28)\/sqrt(4)*3) + -3)*-3.\nAnswer: -24*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**2 + 3*f + 1. Let n(c) = -1310*c**3 - 254*c**2 - 15*c - 6. Let x(b) = -2*n(b) - 10*w(b). What is the third derivative of x(o) wrt o?\nAnswer: 15660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15659*7.1.\nAnswer: -1.111789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -1, -12.\nAnswer: -12, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -501.87 times -11929?\nAnswer: 5986807.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 - 3*a**3 - 1 + 3*a**3 + 7*a**2 + 2*a**3 to x*a**3 + w + d*a + q*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + 74. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6932, -13880, -20844, -27830, -34844, -41892, -48980, -56114?\nAnswer: -63300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6*w = w - 11, 3*r - w + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 31441, 1?\nAnswer: 31441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*h - p, -25 = -7*p + 2*p. What is the highest common factor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/12415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050172 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 7*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4643476.\nAnswer: 2, 257, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11110001001011 (base 2) to base 8\nAnswer: -36113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j + j**4 + (4*j**2 + j**2 - j**2)*(-6*j + 6*j + 11*j**2))*(-2 + 4 + 3) to t*j**2 + b*j**3 + o + s*j + r*j**4 and give r.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*o - 25, -35*v + 33*v - 4*o - 18 = 0. Let p(m) = -2*m**2 + m + 14. Let k(t) = -t**2 + t + 9. Determine v*p(l) + 7*k(l).\nAnswer: 3*l**2 + 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Suppose -70 = -h*l - 3*k, 2*l = l + k + 30. Calculate the remainder when 58 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -88078, 0.1 in descending order.\nAnswer: 0.1, -2\/7, -4, -88078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 - 2))*(-3 + (-528)\/(-180)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -29\/3, 14, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4 - 1 + 2 - 13*l + 6. Let g be q(-3). Suppose 0 = 11*x - 94 + 28. What is the highest common factor of x and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - s - 9, -16785 = 2*t - 4*s - 16779 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 11843*y**2\/4 + 141959*y\/4 + 153803\/4.\nAnswer: (y - 11831)*(y - 13)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1 - 21*s + 11*s. Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(272) + 5)*2)**2.\nAnswer: 160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o**2. Let m(j) = -j**2. Let p(k) be the first derivative of k**3\/3 - 11. Let b(i) = 3*m(i) + 4*p(i). What is b(w(y))?\nAnswer: 484*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u + 12*u**2 - 1 + 12*u + (0 + 0 - 2*u)*(0*u + 2*u + 0*u) as x + p*u + f*u**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 393946 times -1\nAnswer: -393946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from ttttpkkptttjtptptjt?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 9. Let d(f) = -f - 17. Let c = -707 + 701. Let w(k) = -k - 15. Let y(o) = c*w(o) + 5*d(o). Calculate 3*p(b) + 5*y(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**8\/560 + j**7\/140 - j**5\/20 + j**4\/8 - j**3\/3 - j**2. Let l(b) be the first derivative of s(b). Factor l(n).\nAnswer: -3*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-2)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/28*(-59)\/354?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.01 + -0.01. Let d = 4 + 3. Let b = 11 - d. What is the closest to -2\/5 in j, 2\/13, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgugfe. Give prob of sequence eu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6934690 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Is 17 a factor of (0 - (0 - h)) + 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*2\/8 + 132\/(-40) and -91\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2138*w**2\/11 - 4280*w\/11 - 8\/11 = 0 for w.\nAnswer: -2, -2\/1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by 58?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -170 + 242 - (18 + 65)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -1.83, -25\/4, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uomu when four letters picked without replacement from mmummmmummummuuuoum?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 16 = 7*i. Find the second derivative of 3*r - 22*r**4 + 53*r**4 - 25*r**i wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 275 = 86*t - 96. What is the greatest common factor of t and 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*a**3*h**3 - 4*a**3*h*o**2 + 4*a**2*h**3*o + h**3*o**2 - h**2*o**2 wrt a.\nAnswer: -90*h**3 - 24*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2. Let f(a) = 3722*a**3 - 21*a**2 + 36*a + 21. Let v(t) = -3*d(t) + f(t). What is the second derivative of v(c) wrt c?\nAnswer: 22350*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17442, -32289, -47136, -61983, -76830?\n\"Answer: -14847*i - 2595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1663*g + 4*o - 14 = -1661*g, -o + 20 = -5*g + 10*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/22 and 87\/254.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.013 in -6\/7, -0.5, -7\/759?\nAnswer: -7\/759","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7621, -61087, -206209, -488815, -954733, -1649791, -2619817, -3910639?\nAnswer: -5568085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + (-2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*q + 2*q + 3*k, 0 = -5*q - 2*k + 29. Sort 2, q, -5 in increasing order.\nAnswer: -5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/9 (b) -11.072 (c) 22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + (-93)\/(-248)*19\/2 and 167\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:28 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 1524 = 17*r - i, 0 = -3*r + 4*i + 2286. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 2. Let d be 3 + (-20)\/6*30\/q. Let p be d + (-11454)\/(-8) + 3\/(-4). What is p rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d - 79*d + 1442 = -27*d. Solve -m - d*a = -9*a + 19, -35 = 5*m + 5*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-95)\/15 + (324\/(-6))\/(-9). What is the nearest to 0 in w, 0, -1, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 12, 5.8, -0.5 in decreasing order.\nAnswer: 12, 5.8, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-54))\/(2\/21). Let h(y) = -y**2 - 7*y + 1. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18408 + 18455. Let a(d) be the third derivative of -2*d**3 + 0*d - b*d**2 - 5\/12*d**4 + 0 - 1\/60*d**5. Calculate a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 2 - 1296\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 527 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -284, -449?\n\"Answer: -165*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d20a36 + 4?\nAnswer: -d20a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + j = -13, 2*j + 22 = 5*y. Suppose 0*s - y*s = 0. What is the second smallest value in -0.4, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhh. What is prob of sequence ghh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, d: 5, x: 1, n: 3, w: 1}. What is prob of sequence xnw?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 6, x: 1, p: 4}. What is prob of picking 1 x and 1 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*z + 5*h, 8107*z + 4*h + 108 = 8127*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13780 = -524*b - 165*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o - 2. Suppose -24 = -3*n, -5*g - 134*n = -132*n + 14. Let r(w) = w. Give g*r(c) - v(c).\nAnswer: -19*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 126\/30)\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -295 + 1479. Is -147 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.363385 and 279826.\nAnswer: 279834.363385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {n: 5, l: 3, j: 1, q: 9}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 9*k**2 - 4*k + 5. Let s be w(-5). Let q(z) be the first derivative of 0*z - 1 + s*z**2 + 16\/3*z**3. Let u(p) = 2*p**2. What is u(q(o))?\nAnswer: 512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 289*m - 3567. What is p(14)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4147*w**4 - 11*w**3*y**2 + 2*w**2*y**2 - 46*w**2*y + 2*w*y**2 + 369 wrt w.\nAnswer: 99528*w - 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -26.52. Let l = -0.02 + f. Sort 3, -5\/7, 1\/4, l.\nAnswer: -5\/7, l, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -944 + 74577\/79. Is v > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1042, -4195, -9456, -16831, -26326, -37947?\n\"Answer: -l**3 - 1048*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1\/(-4))\/(-1))\/(7\/56). Suppose -k - 4*d = -d - 3, -v*d + 4 = 0. Let i(u) = -3*u**2 - u + 3. Let o(m) = -m**3 + 4*m**2 + 2*m - 4. Give k*o(y) - 4*i(y).\nAnswer: 3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-7 + -5)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 7908, 6, 10 in decreasing order.\nAnswer: 7908, 10, 6, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6221 + -25490.\nAnswer: -25487.3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 6, 0.01, 2390, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10043*y - 6209*y + 6966*y + 11293*y in the form n + f*y and give f.\nAnswer: 22093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4781 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: Let c(i) = -11*i**2 + 3*i + 12. Let t(s) = 2*s**2 - 1. Let f(m) = -c(m) - 5*t(m). Let r = 24 - 14. Suppose 6*b - r = -h + b, 3*h + b - 16 = 0. Determine f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313562\/585 + 536. Is 0 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, -4, -49 in increasing order.\nAnswer: -49, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12)\/((-2)\/(1*4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1.41, 17\/96, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 2*u**3 - 3*u + 5*u + 2*u**2 - 18 to l*u**3 + n + o*u + x*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 2*a**4 - 2*a**4)*(a + 5*a - 2*a + 4).\nAnswer: -12*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 15 = 8*z. Suppose 0 = -4*k + 7 + 9. Let w(q) = 2*q**2 + 3*q + 2. Let y(i) = 3*i**2 + 2*i + 3. Let v(j) = k*w(j) + z*y(j). Calculate v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 82. Calculate the greatest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1530 + -1529.9. Let z = 29 - 27.7. Let n = z - 0.3. Which is the second biggest value? (a) n (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-1998)\/(-84) - (-48)\/24) + 6\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 300\/(-45)*72\/20. Let x be ((-15)\/(-18))\/((-4)\/c). Let a(t) = t**3 - 5*t**2 - 5*t - 6. Let m be a(6). Solve -j + x*j = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55886 at most as big as -950040\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -47*f**2 - 4*f - 7. Give c(-2).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 68*u - 1. Let z be r(3). What is the greatest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 672 - 636.9. Let s = 35.0837 - f. Round s to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2114, -1896, -1678, -1460, -1242?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -388*t**3 + 18*t**2 + 28*t + 30. Let x be j(15). Round x to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = 2*u + 961196, 1922404 = 2*o + 2*u. What is o rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6)*-2)\/(-12*(-6)\/24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6907*s**3 + 2523*s**3 + 2 - 2.\nAnswer: 9430*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 15 = 0, -3*n - 10 = 765*v - 760*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6027 and 8118.\nAnswer: 397782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 18962.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8*x**5\/11 - 2824*x**4\/11 - 571190*x**3\/11 - 11041880*x**2\/11 + 11471682*x\/11 - 2903796\/11 = 0.\nAnswer: -126, -23, 1\/2, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715791\/140 + -5113. Let f = -6765 + 757695\/112. Find the common denominator of l and f.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 9) to base 15\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2322 divided by -1302\nAnswer: 387\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, k: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3)*-3 + (sqrt(90)\/sqrt(6))\/sqrt(5) + 5 - (-4 + (5 + 4 + 0 + sqrt(192))**2).\nAnswer: -264 - 131*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6294586 rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 15 = 5*i - 7, -2*p + 26 = 4*i. Suppose p*w - 12 = 6. Factor w*c + 3*c**2 + 0*c - 6*c**2.\nAnswer: -3*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:23 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(175) - ((sqrt(175) - (sqrt(175) + 0)) + sqrt(175))) + -2 + sqrt(847)*-1)**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)\/o)**(-2\/25) assuming o is positive.\nAnswer: o**(7\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015889 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and 1751?\nAnswer: 124321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 651 by -149.\nAnswer: -651\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -35. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 1. Suppose 5*i + 2*a + 28 = -0*a, -2*i + 8 = -4*a. Calculate the remainder when 23 is divided by g(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975126359?\nAnswer: 31, 773, 40693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 193, 298, 495, 814?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*-3)\/sqrt(5).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217009184 to the nearest integer?\nAnswer: 14731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19 - 5*v**2 - 18 + 5*v - 4*v**2. Determine s(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 5, 10018, -10 in increasing order.\nAnswer: -10, 1, 5, 8, 10018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:44 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 10*i = -18. What is the smallest common multiple of 4\/(-5)*(-165)\/6 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673827.\nAnswer: 3, 7, 11, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2844 + 2?\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 139 = -839. Let x = -427 - w. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 1, l: 7, d: 4, j: 1, a: 3}. What is prob of picking 1 n, 1 l, and 2 a?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*a + 0*a = 3, 0 = 4*h - 4*a. Is (h - 26307\/(-6))\/(25\/50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14 + 5*i - 4 - 7*i. Let o be t(7). Let b(x) = x - 4. Let n be b(5). What is the nearest to 1 in -1, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12653, -12652, -12651?\n\"Answer: o - 12654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + 170*q - 722. Calculate a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/33725 and 97\/570.\nAnswer: 202350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1261540 - -5?\nAnswer: 1261545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/114855 and 68\/465?\nAnswer: 114855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 173305720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 98 = 2*a. Suppose -5*o + 5*z + 27 + 8 = a, -2*o - 3*z = 1. Is 12 a factor of 9\/((-36)\/(-208)) - o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 2*(-1)\/(-2). Let f be 6\/(-8) + 689\/156. Is f > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 2 t when four letters picked without replacement from mmtttmmmmmwtmmttz.\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 10. Suppose -105 = -k*m - 5*b + 35, -3*b = m - 32. Let w = 46 - m. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 182 = 9*a. Let u be ((-40)\/a)\/(32\/112). Let p = 38 + u. What is the remainder when p is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, p: 3, a: 7}. What is prob of sequence papp?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + (-1)\/1)*1. Suppose z*p - 4*p = -877. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.64 + -1.62. Let r = -1045 + 1052. Let v = g - r. Which is the nearest to v? (a) -5 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -40*j + 31*j - 59, 0 = 13*a - j + 86 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*l**4 + 213*l**3 - 4*l**2 + 8891544*l wrt l?\nAnswer: 1944*l**2 + 1278*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + a08391?\nAnswer: a08423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 189, 442, 809, 1296, 1909, 2654, 3537?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/29)*g)\/g*g)\/(g*(g\/(g**7\/g))\/g)*(g*(g\/(g\/(g\/g**(-5\/2))))\/g)\/(g*g**(-8\/7)) assuming g is positive.\nAnswer: g**(3929\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-1)\/((-1)\/2). Let g = 9 + x. Let s = g + 1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mbuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10550596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 + -205. What is the remainder when j is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 67. Let o be (-27)\/(-12) - 1\/4. Let q = o - 2. Solve w - 1 + q = f, -2*w - 1 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*-1*sqrt(245)*5)**2 + sqrt(5) + (0 + sqrt(320) - sqrt(320))**2 + (sqrt(5) - (sqrt(5) + -1)) + -2).\nAnswer: 5*sqrt(5) + 30620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 16 + 3 = k + 7 - 4, 2*c - 205 = 23*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 g when four letters picked without replacement from {k: 17, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 + 0.6. Let w = 8 - -4. Suppose 3*y - w = -y. Which is the biggest value? (a) q (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*s + 20*s - 1 as c*s + j and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/6 + k**3 - 6*k**2 + 19*k. Let h be n(4). Which is smaller: h or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -321. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95\/147 + -1\/49. Is -21 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/634006?\nAnswer: -1\/634006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*i = -88*i - 1620 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = t + 6357, 0*t = t + 2. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v = 1609 - 5782. Sort v, -3, -4, 4 in ascending order.\nAnswer: v, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1 + (((-12)\/10)\/3 - -6). Sort w, 2\/17, -86, 8\/7 in decreasing order.\nAnswer: 8\/7, 2\/17, w, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-120)*10*(-3)\/(-2). Solve 2*w + 12 = -5*q, -i*w + 0*w = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1980)\/44)\/2520*-8\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 3522, 8566, 15826?\nAnswer: 25302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18164221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 878.5826 centuries?\nAnswer: 1054299.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*j + 3. Let a(h) = 19*h + 4. Is 16 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 18*l**2 + 18*l + 19. Let m be d(-17). Let o be m + 0 - (-11628)\/(-5406). Is -1 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 263*d - 19199. What is v(73)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57 + 202*g**2 + 376 + 87*g**2 wrt g?\nAnswer: 578*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*v + 2*v. Let z(t) = -t**3 - 3*t**2 + 2*t - 4. Let s be z(v). Factor r + r**2 - 3*r**2 + 2*r**3 - s*r**3 + 3*r**3.\nAnswer: r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 - 6744*n - 13476 = 0. What is n?\nAnswer: -2246, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(1*6\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 95. Let a = s - 18. Suppose -4*k = -0*k - 72. Calculate the smallest common multiple of k and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2. Let x be l(7). Suppose 6 + 4 = x*i. Let s(q) = 3*q + 1. Calculate s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 357295?\nAnswer: -44661875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 256 = -13*d - 134, 4*h + h - 10*d = 300 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*g - 1. Suppose g*i - i - 10 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + 112*p**2 - 71*p + 141. Determine k(-38).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**7\/840 - n**6\/90 + n**4\/24 + 2*n**3\/3 + 2. Let d(c) be the third derivative of i(c). Give d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 16298.\nAnswer: 9778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/86 and -79\/348.\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1. Let i(b) = -b + 3. Suppose -10 - 2 = 4*g. Let p(d) be the first derivative of d**2\/2 + 8*d + 5. Let x be p(-9). Determine g*o(f) + x*i(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 10. Let k be w(7). Suppose k = -0*r + r. Let f = 0.11 - 4.11. Which is the closest to 0? (a) r (b) -1\/10 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/197002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 47. Let m = 0.1 + -0.3. Let h = -0.6 + 0.9. Which is the nearest to z? (a) m (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 692342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22*a**2 + 3*a. Let h(d) = -21*d**2 + 4*d + 1. Give 3*f(k) - 2*h(k).\nAnswer: -24*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 96. Calculate the greatest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.03 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 18 = 3*b. Suppose d + 11 = -0*q - 4*q, -b*d + 2*q = -8. What is the second biggest value in 0.3, d, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from sssxssxxsssbsxsssx.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 1750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 448 - 1484 - 2717)*(0*g + g + 0*g)*(-13*g - g + g) to the form m*g + i*g**2 + r and give i.\nAnswer: 49088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -201630 (base 14) in base 9?\nAnswer: -2024846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/12 - 1 - (-26)\/(-39). Let i(v) = 0 + 0 + v**2. Calculate the smallest common multiple of i(w) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/38)\/i)**(-3\/22)*((i\/i**(2\/27))\/i)**(-2\/47) assuming i is positive.\nAnswer: i**(151817\/1060884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*q**3*t**3 + 4*a**2*q**2 - 32*a*q**3*t**3 + 2*a*q**3*t**2 - 2*a*q**3 - 10*a*q**2*t**2 wrt t?\nAnswer: -18*a**2*q**3 - 192*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005099.7 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -486 - -12?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3688, -3420, -2974, -2350, -1548, -568, 590?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**3 - 3*n**2 + n. Let x be h(2). Suppose 50 = 4*m - x. Suppose 5*t - 4 - 26 = 0. Calculate the lowest common multiple of t and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/261188 and 59\/1782892.\nAnswer: 41006516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1661 divided by -1330.\nAnswer: -1661\/1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g**2 - 283*g - 107. Determine j(-8).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 131269.\nAnswer: 0, 19, 131269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 2*z + 3. What is o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 2, y: 2, n: 2, c: 3, e: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 8. Let o be u(6). Let d(b) = -b**2 + 9*b - 4. What is the remainder when (-696)\/(-27) + o\/(-18) is divided by d(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -316\/7, -0.203, 4 in ascending order.\nAnswer: -316\/7, -0.203, -1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/30 - 29*p**4\/24 - p**3\/3 + 49*p**2 + 2*p. Differentiate m(v) wrt v.\nAnswer: 4*v - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 3*n)*(2 - 5 + 5)*(-4*n**2 - 7*n**2 - 2*n**2).\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177)\/21 + 20\/(-14)*(-774)\/(-1935)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3) - 4\/(-6). Let v(y) = -y**2 - y + 1. Let r(o) = -2*o + 3. Let b(h) = x*v(h) - r(h). Differentiate b(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from pqctptccgttvt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4719)\/sqrt(3)*-1 - (sqrt(13) + sqrt(117)\/sqrt(9) + -2 + 2).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 59 - -26) + 18 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**2 + 1289*v + 4274. Determine c(-104).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -566 - -856. Suppose 8*d - x = 1470. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaqq when four letters picked without replacement from czazzcqcgzcacczqczaa?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -35. Suppose -4*y + 20 = -4*v, -5*v + 5 - d = y. Let c(a) = -a - 4. What is c(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 605 - 2074577?\nAnswer: -2073772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -684, -1026, -1368, -1710?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -42) + (-23 - -2) + 22?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229516034 to the power of 1\/2, to the nearest integer?\nAnswer: 35064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(20\/(-45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35992 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20367 is divided by 3389.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -10*u + 5*u - 34 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l**4*l)**(2\/75)*(l**(-4)*l\/((l**(-1\/11)\/l)\/l))\/((l**(-4\/3)*l)\/l*l**(-1\/10)) assuming l is positive.\nAnswer: l**(1129\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69776160 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 2*o**2 - 2*o + 2. Let x(n) be the second derivative of -9*n**5\/20 + 5*n**4\/12 + 5*n**3\/6 - 3*n**2\/2 + 2*n + 11. Give -5*t(a) - 2*x(a).\nAnswer: -2*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from oyyoyoyoyyooyoooooo?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909397.\nAnswer: 163, 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 31, 74, 135, 214, 311?\n\"Answer: 9*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(-2*sqrt(4)))\/(sqrt(16)\/sqrt(16)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/11)\/(j\/(j*j*j**(3\/28)))*j**(-1\/9)\/j**(3\/22) assuming j is positive.\nAnswer: j**(2887\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 + j - 3. Suppose -35 = -5*x + i, 2*x = -5*i - 6 - 7. Let y be b(x). Solve l + y = -4*r, -5*l + 8 = -3*r - 0*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z - 5. Suppose 8*i + 36 = 4*i. Let d be x(i). Suppose -j + 5*u = -d*j + 18, 3*u = 0. What is the highest common factor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - 5)*(76 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -1\/8 (b) 0.3 (c) 16 (d) -361 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose d*g - 8 = 1. Suppose 282 = -0*k + g*k. What is k rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*j + 337*j + 258*j.\nAnswer: 952*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7549680848756 and 0.\nAnswer: 7549680848756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30587 and 0.3.\nAnswer: 9176.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 + -1 + 0)*(-2)\/1 and (-48)\/(-9) - (-4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55107720 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-50)*-1*1)\/((-60)\/240)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5264.296 days to microseconds.\nAnswer: 454835174400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2*-1*2*-2 + 5)**2.\nAnswer: -480*sqrt(5) + 11545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*(-16848)\/486.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, p: 3, l: 5, y: 3, d: 1}. Give prob of picking 2 p, 1 c, and 1 d.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.79047m in kilometers?\nAnswer: 0.05779047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -657*s**4 - 662?\nAnswer: -2628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 40*k**2 - 10*k + 33. Let v be s(40). Let q = 363 + v. Let i = 3 + -1. What is the biggest value in 1.2, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 7*k - 80. Put -2, k, -5, 3 in descending order.\nAnswer: k, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(2*g + 0*g + 0*g + (-50 - 119 - 58)*(0 + 5 - 3)*(-g + 0*g - g + (0 + 0 + 2*g)*(0 + 0 + 2))).\nAnswer: 906*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.39875ug?\nAnswer: 0.00639875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28543*r**2 - 91920*r**2 + 2*r - 2*r.\nAnswer: -120463*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 23607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-10) + 117\/(-45). Let g be (-3)\/14*k + 0. Let m be (-7)\/4 - 0 - -2. Which is the closest to m? (a) -2\/3 (b) 4\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.5 + -8.5. Let v = -18 + r. Let t = v - 18.7. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*q**2*v**3 + 8387*q**2*v + q**2 + 2*q*v**2 + 5*q*v - 2*q + 4*v**3 - 2*v**2 - 25371 wrt q?\nAnswer: 212*v**3 + 16774*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37600 (base 13) to base 10.\nAnswer: -102076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23036058 by 4894.\nAnswer: 4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 4*g - 1. Let j be 7\/(-7) + (0 - -4). Let m be w(j). What is the tens digit of ((-46)\/3)\/(m\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {k: 1, x: 1, v: 2, m: 1, a: 4, i: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 924 + -924.3. Which is the fourth smallest value? (a) -0.4 (b) u (c) -1.41 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3920 and 5390.\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000242764 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5560409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.82349 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 40*p + 2107. Determine f(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 2) + (-7)\/(-56)*0)*-7. Sort 0, 1, j in increasing order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457684.\nAnswer: 2, 31, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2130489.\nAnswer: 639146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 128.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -722 + w**2 - 81 - 37 to the form d + j*w + t*w**2 and give d.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15066)\/(-1890) + (-5 - 1) + (-8)\/14\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124752386.4 to the nearest one thousand.\nAnswer: 124752000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2625 + -6?\nAnswer: -2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-5))\/3 - 10592\/26680. Let d = k + 3251\/28014. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-350)\/(-6) - 8\/24. Suppose z - 178 = -5*c. What is the remainder when 45 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38885306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 - 9*o**2 + 590*o**3.\nAnswer: 590*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p - 9. Let v(d) = -d**2 - 5*d - 9. Let c(r) = 6*v(r) - 5*x(r). Let g be c(-1). Factor 0*h + g - 2\/3*h**2 + 1\/3*h**4 + 1\/3*h**3.\nAnswer: h**2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 11*j**2 - j + 13. Let b = -21 + 10. What is the tens digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.96, -0.4, -0.3, -0.2.\nAnswer: -0.4, -0.3, -0.2, 0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - 6.28. Let b = -6.3999836 - s. Round b to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 74. Suppose -3*h = -h - f. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, w: 2, s: 1, u: 1, q: 1}. Give prob of picking 1 q and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31840*f = -31735*f + 63347*f - 8664 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 56*k + 8. Let a be r(8). Suppose -2*s + a = -5*o, -5*o = -s - 4*s + 450. Does 12 divide (1*15\/(-10))\/(1\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 124650 = 30*d - 75*d. What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 196, 388, 658?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48 + -2 + 12\/(-4) and -5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 960 = 0. Suppose 8*i - 10*i + k = 0. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25684558345 plus 5?\nAnswer: 25684558350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.345 + 6.345. Let d be ((-5)\/(-3))\/((-1)\/3). Which is the third smallest value? (a) -3\/4 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*q**3\/3 + 97*q**2\/9 + 2*q\/3.\nAnswer: -q*(q - 3)*(33*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j. Let m(v) = v**2 - 5. Let o(h) = 1. Let k(a) = m(a) + 5*o(a). Calculate k(q(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42675989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**3 - 2*h - 9*h**3 + 25*h**3 + 2*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1639165 and 4833?\nAnswer: 1634332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 3*f + 451, 0 = -2*f + 5*r - 279. Let i = -62 - f. Suppose 4*s - i = -14. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**6\/40 + 3*j**5\/20 - 27*j**2\/2 + 29. Let z(s) be the second derivative of h(s). Determine w, given that z(w) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.58010966+-4\nAnswer: -33.58010966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*r = -s + 16, 0 = s + 3*r - 18. What is the remainder when 70 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 998.9222 kilograms?\nAnswer: 998922200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 60. Let x(k) = k**3 + 2*k**2 + k - 2. Let m be x(w). Let b(g) = -g - 1. Let s(c) = 6*c - 4. What is m*b(d) - s(d)?\nAnswer: -8*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 45*r + 18. Let x(h) = h**2 - h - 7. Let p be x(4). Let i(j) = -13*j - 5. Let s(z) = p*y(z) + 18*i(z). Is s(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.222 (b) 4 (c) 0.3 (d) 16 (e) -0.07 (f) 5 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -27 - 17\/2*a**2 - 17*a + 23\/3*a**3. Let b(q) = -4*q**2 + 3*q + 3. What is -34*b(r) - 6*h(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138, -276, -410, -540, -666?\n\"Answer: 2*n**2 - 144*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 608*a**2 + 35*a + 170. Is f(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3040 divided by -42\nAnswer: 1520\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 392320.\nAnswer: 12946560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n**2 - 13994*n + 13995*n + 16 + 1.\nAnswer: 52*n**2 + n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4016126, -8032259, -12048400, -16064549?\nAnswer: -20080706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9729546 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*u**3*v + 34965*u**3 - 83*u**2*v + 9*u**2 + 4*u*v + 2*u - 4*v wrt u?\nAnswer: 228*v + 209790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4941163115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 760 + 755 = -5*c, k - 9*c - 23 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + 2)*(-y + 4*y + y) + (1 + 3 - 5)*(0*y + 0*y - 2*y))*(-3 - 1 - 1) to r*y + c and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 66151 = 42797. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -979.5085 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0791 + -0.00996839.\nAnswer: -0.08906839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - 0*d. What is the common denominator of (-716)\/(-140) - d\/(-10) and 41\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208))**2*1.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*19*3\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u, -5*u = -w + 4 + 12. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5163038, -20652094, -46467164, -82608230, -129075274, -185868278?\nAnswer: -252987224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 57674749?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-5 - 1 - 2)*(-96*w - 76*w - 68*w).\nAnswer: -3840*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 4) in base 2?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (566\/566)\/((3\/30)\/(6\/15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, l: 1, w: 3, x: 4, q: 1}. Give prob of picking 1 l and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547.18t in kilograms?\nAnswer: 8547180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44239, 355113, 1199241, 2843251, 5553771?\n\"Answer: 44438*x**3 - x**2 - 189*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 + 9*s - 10. Calculate the remainder when 31 is divided by o(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211738327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmj when three letters picked without replacement from {j: 1, n: 5, z: 5, m: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Let s be ((-28)\/(-42))\/(2\/l). Let n be s*(-5)\/(10\/(-6)). Solve t = n - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -26069*p + 4655. Is n(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 245791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:07 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from {p: 2, j: 1, s: 1, g: 2, i: 4, n: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -76273 (base 13) to base 3\nAnswer: -101211220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*f = 157*f + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1885? (a) -5 (b) -1\/6 (c) 0 (d) -5\/4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**15\/(a*a\/a**(-8)) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -190182100 to the nearest one hundred thousand.\nAnswer: -190200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412419 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -119*v**2 + 3*v + 74. Let b(g) = 337*g**2 - 12*g - 221. Let u(t) = -6*b(t) - 17*o(t). Calculate u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4236461 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Suppose y - 6*y = 0. Suppose -4*n + y*n = 0. Let p(o) = -3*o + n*o + 4*o. What is t(p(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from prcsycpg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*r - 27*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.3, 3, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247682 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 19344.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wawaaaaaaww?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308740 divided by 61748?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 52*w - 2391. Does 55 divide d(61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b + 126*b**2 - 72*b**2 - 61*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/14 - (-318 + 314)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/399, 10, 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 9 + 0 + 0 + j**2 - 3. Let g(l) = 42*l + 90. Let q be g(-2). Let p(k) = -2*k**2 - 8*k - 13. Calculate q*p(m) + 13*z(m).\nAnswer: m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 615*g - 18111. What is v(-584)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -613, -530, -413, -256?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18195 + -18194.7. Let d(h) = -h**3 - h**2 - 1. Let l be d(-2). Sort -0.14, m, -3\/7, l in increasing order.\nAnswer: -3\/7, -0.14, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2. Let u = 6 + -7. Let w(q) = -1. Let k(l) = u*d(l) - w(l). Let v = 763 + -765. Let b(c) = -3*c. What is v*k(g) - b(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (124846\/3)\/(72080\/28). Let j = k + 4\/4505. What is the common denominator of (85 + 2)*(-1)\/2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(208) + (0 + sqrt(208) + -3)**2)*-4 + -4)*-6.\nAnswer: -1440*sqrt(13) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84457 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 11015 - 2330 = -3*s, 4*s - 17824 = -w. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.4*-1.\nAnswer: -81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -1 + 64 - 57\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r = -45*r + 3*q + 24, -3*r + 25 = -4*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 21*o - 3*o - 19*o + 13*o.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 1 - 5*f - 4*f + 4*f - f**3. Is v(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {m: 8, e: 5, h: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1939137*o - 3354*o**2 - 1939137*o in the form g*o + c*o**2 + v and give c.\nAnswer: -3354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 58. Suppose -4*g + 3*o + z = -0*o, -5*g - 2*o = -19. Put g, -2, 3 in ascending order.\nAnswer: -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s, -i - s = 2*i + 30. Let y be (42\/9)\/((-1)\/i). Let u = y - 29. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + (-16 - -17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1244 - 1241. Which is the third biggest value? (a) -1\/3 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -1) + (1057 - 1040).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzwgzazgqqqqqqagqw. Give prob of picking 2 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150 in -0.0412, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:51 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 - 154. Let m be 0 + (-24)\/14 - -1. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 81*l + 73 = 16*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 392*r - 388*r - 90087, 0 = 4*d + 4*r - 360408. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11283 at most as big as 11283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -262. Which is the closest to -2? (a) q (b) 4\/5 (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-48))\/((-2)\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/15 + (-3)\/15 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than 550\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661346?\nAnswer: 2, 3, 92297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*120\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 4 = 22*k. Suppose 4*c + 16254 = k*h, h - 5*c + 2*c - 8122 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 - 7*i**3\/3 - 49*i**2\/6 - 6*i.\nAnswer: -i*(i + 1)*(i + 4)*(i + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 + 1 + 1 + 3*v**3 - 4*v**3. Let p be n(8). Suppose 4*m = -5*t + p*t + 53, 3*m - 51 = -3*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2970 divided by 574\nAnswer: 1485\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 - 4*m + 4. Let d be s(-4). Suppose -4*h - 32 = -d*r - h, h - 4 = 0. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12520429 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 72 + 1021\/15*v**5 + v**2 - 279\/2*v**4 - 21\/10*v**6 + 2\/105*v**7 - 3844\/3*v**3. Suppose p(f) = 0. What is f?\nAnswer: -1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 12, i: 1, k: 1}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 16 + 11)*(1 + 7*j - 1) + (0 - 3 + 1)*(3*j - 4*j + 4*j).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 135238\/2 + 1. Let s = 751 + -34372. Let p = s + r. What is p rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.6, -3, -1\/7, -36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -29 + 32 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 - -138. Suppose 0 = 3*r - 5*r + 10. What is the closest to -4 in u, 0, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*l - 2947*l + 1238 + 1232 - 2470 in the form a*l + n and give a.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/3 - 258*g**4 - 141829*g**3\/3 + 1024260*g**2 - 15760900*g\/3.\nAnswer: -g*(g - 10)**2*(g + 397)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*p + 4 + 19*p - 7 + 3 - 19 as t*p + x and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 99.3. Put -3, t, 0.06, 1\/3 in decreasing order.\nAnswer: 1\/3, t, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/65 (b) 1 (c) -18\/49 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8013023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 650*v**3.\nAnswer: 650*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d - 11. Let k be u(7). Suppose 18 = k*w - 0*w. Solve w*m + 6 = 8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(-2 + sqrt(1872)) + (sqrt(1872) + sqrt(1872) + sqrt(1872) + (sqrt(1872) - (sqrt(1872) - (2 + sqrt(1872)))) + sqrt(1872))*5))**2*5.\nAnswer: 483840*sqrt(13) + 264179520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 7*h. Let t(i) = 0*i**2 + 11*i + i**2 - 2*i - 10*i. Give -l(j) + 4*t(j).\nAnswer: -2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542524785*i**2*r**2 + 86*i*r**2 - 166083*i*r wrt i?\nAnswer: 1085049570*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*w)*(-4 + 4 + 2) + (6 - 15 - 2)*(19*w + 19*w - 5*w) to a*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.2. Suppose 5*m + 44 = -s + 48, m + s = 0. Sort x, m, -1.\nAnswer: -1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 8 = 12*z. Let j(n) = -4*n**3 + 5*n**2 + 2*n + 1. Is j(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 125.9213 micrograms?\nAnswer: 0.0000000001259213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*j + 23, j + 130 + 14 = 4*p. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - 30?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/39)*f*f**(6\/11))\/((f**(-1)\/f)\/(f\/f**(1\/9))))**(24\/11) assuming f is positive.\nAnswer: f**(55424\/4719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 3173\/133)*-91?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o*o**(-1\/29))\/o))\/o)\/o)\/(o*o**13*o) assuming o is positive.\nAnswer: o**(-492\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/15 - -2\/5. Let s = 1.03 + -0.83. What is the second biggest value in s, -4, -3\/4, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 24. Let x(c) = 766*c + 82. Calculate x(l(h)).\nAnswer: -766*h**2 - 18302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(-49)\/(f*f**(-1\/2)\/f)**44)**(-9\/8) assuming f is positive.\nAnswer: f**(-345\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*11098.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(1088) + 0 - sqrt(1088)) + -2 - (-4*sqrt(1088)*2 + 2)))**2.\nAnswer: -384*sqrt(17) + 69641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.744865um?\nAnswer: 4744.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06395566833 - 86.\nAnswer: -86.06395566833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-30)\/9) + 8\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/5)\/u*u)\/u**(-2\/7))**38*(u**0*u\/u**(1\/3))\/(((u**(3\/5)*u)\/u)\/(u**(-3)*u)) assuming u is positive.\nAnswer: u**(4129\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(((t*t**(-2\/7))\/t)\/t))\/t)\/t)**(-2\/3))**(1\/49))**10 assuming t is positive.\nAnswer: t**(-40\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -5 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 0, 0.1, -150, -1\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by 123?\nAnswer: 107\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1643\/(-13144)*((-174)\/(-4))\/(12\/16)\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11919, 23782, 35645?\n\"Answer: 11863*b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -84, -11, 0 in descending order.\nAnswer: 2, 1, 0, -11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202754 is divided by 50608?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3\/2)*2. Let c = t + 8. Suppose p + 25 = 6*p - n, 3*p - c*n - 15 = 0. Solve 5*j - p + 25 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11657, -3\/5, 680\/101 in decreasing order.\nAnswer: 11657, 680\/101, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17238 is divided by 569.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -63.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2095\/84 - 174\/7. Let r(n) be the third derivative of 0 + j*n**5 + 5*n**2 - 1\/6*n**4 - 1\/120*n**6 + 1\/2*n**3 + 0*n. What is r(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 13*l**2 + 4*l - 4*l - 11*l**2 + 27*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*j*m**4 + j*m - 6111*j + 130*m**4 - 4 wrt m.\nAnswer: 196*j*m**3 + j + 520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 2. Let q be a(2). Let h = q + -7. Let v be (-2)\/(-4) + (-2)\/4. Solve -h*z + 7 = -k - v, 3*z = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(228)*-4*5)\/(sqrt(1452) - sqrt(1452)*3*-6).\nAnswer: -40*sqrt(19)\/209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*i**2 + 260*i - 2 + 7 - 2 - 231*i to p*i**2 + f*i + r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 79076446 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -134, -130, -124, -116?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1252732.\nAnswer: 5010928","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnw when three letters picked without replacement from wbnnwwwbbbw.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (6 + (15 - (-21 + 12)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 1. Let t(q) = 3*q + 2. Let k = 29189 - 29193. What is k*t(c) + 7*s(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8964 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -23*h**2 - 373*h - 244. Give r(-15).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - r - 18 + 2, -4*m + 16 = -5*r. Suppose 0 = -3*p + 2*p + 6. Solve -p*j = -m*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g = 25. Let q(f) = 3*f + 13. Let n be q(g). What is the second smallest value in 0, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 17.2 (c) -0.04 (d) 850 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3609 - 3540. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/(-264) + (2\/(-3) - -2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -574 + 591. What is the greatest common divisor of 119 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:02 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*u**6 - 318612*u**4 + 3*u**3 + 123707621*u**2.\nAnswer: 1920*u**3 - 7646688*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24355639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, -76, 1659 in increasing order.\nAnswer: -76, 3, 14, 1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 171154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 + 3*g**2 - 5*g - 2. Factor q(i).\nAnswer: -(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*f = -58*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3725, 3730, 3731, 3722, 3697, 3650, 3575, 3466?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1082*n + 2612*n + 1043*n)*((13 + 1 + 10)*(1 - 1 + 1) + 4 - 3 - 2 + 2 - 2 - 1 + (5 - 4 + 1)*(-1 + 2 - 3)) in the form o*n + c and give o.\nAnswer: 46314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5 - n + 17. Differentiate a(x) wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, -0.2, -1, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - -0.46. Let a = -387.1 - -387. What is the nearest to a in 2\/21, u, -0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*g**3 + 11416 + 2*g**2 - 2*g**2 - 5707 - 118*g**3 - 5709.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8329, -16903, -25479, -34057, -42637, -51219, -59803?\n\"Answer: -x**2 - 8571*x + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t + 204 = -2*o, -2*t - 2*o = -76. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4006 divided by 104\nAnswer: 2003\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1775 = -5*d, -675 = 4*a - 3*d - 2095. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k + 8990 = 0. Suppose 237 = -7*g + k. What is the second derivative of -5*n**2 + g - 8*n - 223 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3. Let t(p) = 3*p**2 - 18*p + 39. Let a be 19\/38*(-3)\/(12\/8). Let x(h) = a*t(h) - 5*o(h). Find l, given that x(l) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 2*j + 3. Let x be u(2). Suppose -s - 4*s + 171 = x*z, 0 = -z - 3*s + 57. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, 3, -320.\nAnswer: -320, -2, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/44)\/((-8181)\/239976)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 70 + 74 = 0. Suppose 2*i - 1427 = -3*o, -o + 2*i + 2389 = u*o. What is the highest common divisor of 53 and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36935, 36677, 36421, 36167, 35915?\n\"Answer: a**2 - 261*a + 37195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/479 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away -86.85839?\nAnswer: 64.85839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 115.\nAnswer: 9430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 23*q + 2. Let c(j) = 21*j - 5540. Calculate p(c(v)).\nAnswer: 483*v - 127418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131137724 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - (-74)\/14. Suppose -o*j - 3*v + 13 = -7*j, 0 = -3*j + 3*v - 15. What are the prime factors of 13\/5 + j\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*y**2 - 22 + 82 - 30 - 31 to the form q*y + v + i*y**2 and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.45 + -27.45. Which is smaller: -73 or r?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058392.\nAnswer: 2, 132299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/((-75)\/4564050) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:38 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let v = -4.1 + z. Let r = 17.5 + -17. Which is the biggest value? (a) v (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*1*(-145)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -30*n + 21*n - 2674. Suppose -6*g = -3*g - 144. What is the remainder when n is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 56087056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Let v = 14 + -85\/6. Let y(w) = 10*w**2 - 24*w + 3. Let a be y(2). What is the closest to 1\/7 in a, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-1)\/(-2))\/(22\/11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/7))\/p**(-6\/13))**(22\/3) assuming p is positive.\nAnswer: p**(2068\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210220021 (base 3) in base 16?\nAnswer: -8b3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8 - 12. Suppose -3*l + 3 = g, s*l + 4 = -0*l - 4*g. Solve 3*c + l*j + 3 = 5*j, -9 = 5*c - 3*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 1 = -9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*21\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1384 - 68?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, 193, -1, -4, 31 in decreasing order.\nAnswer: 193, 31, 6, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1 + 4. Suppose -a - 12 = 4*b + 23, 3*b + 30 = -2*a. Let y = z - b. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 28. Let a = d - -84. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112957*h - 2*g + 14 = -112954*h, -10*g = 2*h - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140.99 - 73.99. Which is the smallest value? (a) 3\/5 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852704454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 + s + 1. Let d(n) = -6*n**3 + n**2 + n + 1. Give -d(k) + g(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 48, 60, 78?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16657693 to the power of 1\/2, to the nearest integer?\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 7. Let x be n(7). Let o = 4 - x. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17133284171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 9*r + 12. Let g be j(10). Suppose k = 3*l - 0*k - 11, 4*k - 36 = -4*l. Suppose 0 = g*h - 6, 41 - 14 = l*i - h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - ((sqrt(75)*4)**2 + 1))*-1.\nAnswer: -5*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 72*l**2 - 1209*l - 69. What is d(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 74283.4 to the nearest one hundred.\nAnswer: 74300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108875 and 61250.\nAnswer: 53348750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489 + -34. What are the prime factors of w?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 490524 (b) -3\/8 (c) 5 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 61. Let r(z) = z - 21. Let n = -126 - -130. Let m(t) = n*s(t) - 11*r(t). Give m(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -21829\/413?\nAnswer: -21829\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z**4 + 0 - 1\/80*z**5 + 0*z**7 + 0*z**3 + 3\/320*z**6 + 0*z - 1\/896*z**8 + 22*z**2. What is d in w(d) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02045614 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(4 - 1) - (-16050)\/5?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -3*(26 - 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4945, -6056, -7167, -8278, -9389?\nAnswer: -10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -75, -37, 25, 117, 245, 415, 633?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36, 8 in descending order.\nAnswer: 36, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*k = -515 + 9285 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d**3 - 10*d**3 + 4*d**3)*(649*d + 584*d - 549*d).\nAnswer: 9576*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 389507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 20291 + 35394 + 16*j**3 - 15103.\nAnswer: 16*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 - 2*c**2 + (0*c + 0*c + c**2)*(-3 - 2 + 4) + 153*c**2 - 371*c**2 - 3*c - 383*c**2.\nAnswer: -604*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 74 + (-1 - -2) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:09 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13825 divided by 2547?\nAnswer: -13825\/2547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*y, -4*z + 4*y = -92 - 216. Let f = 73 - z. Solve f = 5*v - q - 14, -5*v + 10 + 16 = -4*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272224 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150966939 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13183 and 10.\nAnswer: 131830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 305853 * -10.3.\nAnswer: -3150285.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 270 = -4*m - 3*l, 0 = 5*l - 15. Let d = m - -102. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4684, -4\/7, 0.065, -0.5?\nAnswer: -4684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32109 (base 10) in base 15?\nAnswer: -97a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*-1)\/sqrt(6) + -1 - (sqrt(1368)*-2)\/(sqrt(2) + (sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 466013 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1771 - 1797. Let r = -0.03 + 5.03. What is the third smallest value in 1\/7, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 3\/7, -3\/2, 24, -1, -1\/16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {h: 1, l: 10, s: 2, c: 2, u: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342 + 5?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316\/27 - 7135\/432. Find the common denominator of ((-5)\/((-390)\/(-321)))\/1 and h.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -932809501191196701\/86380 - -10798906010670. Let l = b + -1\/17276. Let u = -123 + l. Find the common denominator of 29\/7 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**4 + 747*w**3 + 1297*w**2.\nAnswer: -24*w + 4482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6f6a (base 16) to base 6\nAnswer: -340014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617306.3 centuries to months.\nAnswer: 740767560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 d when three letters picked without replacement from roddrrdr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.926 + 3.9131772. What is h rounded to four decimal places?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 + 1. Let k = 79 - -41. Let s be 1\/(-5 - k\/(-25)). Calculate h(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7. Put y, 5, -4 in ascending order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 + 57*q + 175. Give v(-10).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -81035438 and 22751.2.\nAnswer: -81012686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -152, -326, -614, -1076, -1772, -2762, -4106?\n\"Answer: -10*w**3 + 3*w**2 - 113*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*q + 21, 4*q - 6*p + 4 = -2*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132\/199 - -2\/597. Suppose -1\/3*t**2 - t - r = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 127 (b) -3 (c) 12.81 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:13 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)*(-1 + 3). Let h(m) = 6*m**2 - m. What is the tens digit of h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-77 - -109) - (109 - -1)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 50.042. Let x = h - 0.492. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -2256.1?\nAnswer: -2247.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*f**3*n + 9*c*f**3*n + 15*c*f*n - 15*f**3 - 32*f*n with respect to c.\nAnswer: 2*c*f**3*n + 9*f**3*n + 15*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 20*o**2 - 5*o + 30. What is the units digit of s(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47212337\/2660 - 17749. Is 1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 70. Let w = 79 + i. Let z be (1 - 7)\/((-330)\/w). Which is the nearest to -0.1? (a) z (b) -0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 2\/3 (b) 6.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11437264 (base 8) to base 6.\nAnswer: -125415444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -6) + (1 - -1) - 30\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, b: 2, o: 2, c: 1, q: 6}. Give prob of picking 2 n and 1 b.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 7, s: 1, x: 6}. What is prob of sequence xos?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 843389 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 20*p - 34. Let j(m) = m**2 + 99*m + 792. Let s be j(-90). What is a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241791 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/3 - 110*l**3\/3 + 3616*l**2\/3 - 9728*l - 24576 = 0. What is l?\nAnswer: -2, 16, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12)*-2)\/((-25)\/(-10))*-35.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrrr when four letters picked without replacement from pnsnrasrsapss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, q: 2, r: 1, m: 4}. Give prob of picking 1 r and 1 m.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2812 - -2749 - 870\/(-14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -81056 (base 11) to base 8\nAnswer: -347370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042 times 0.5?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408480.\nAnswer: 2, 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + o - 9 = -2*c, -2*o = -3*c + 4. Let d(p) = -3*p + c*p + p - 4 + p. Suppose -s = 3*s - 20. Give d(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a + a**2 - 4*a)*(6070 - 6070 - 170*a) as w*a**2 + c + d*a + q*a**3 and give q.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*c**3*h + 813*c**2*h + 6*c*h - 600*c - 6*h wrt c.\nAnswer: 144*c*h + 1626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 113?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*q**3 + 4205*q**2 - 8260*q + 4105.\nAnswer: -5*(q - 1)**2*(10*q - 821)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7956, -7965, -7980, -8001, -8028?\nAnswer: -8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -11. Let z(a) = -a**3 - 4*a**2 - 2*a - 4. Let s be z(q). Solve -y = s*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30 and 45\/26?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 102 = -16*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 - (-1956)\/(-11). Let p = -51 - j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284 - -287. Let f = -0.04 + 0.24. Sort -0.5, i, f in descending order.\nAnswer: i, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834444775 to the nearest integer?\nAnswer: 28887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14*190\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.834, 1493, 3\/5 in descending order.\nAnswer: 1493, 3\/5, -1.834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*y + 198 = 186*y. Calculate the remainder when y is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 21. Let x = 1127 - 1130. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -29?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 94.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + 3*2. Let r be y\/15 + (-23)\/(-5). Suppose r*i = i + 460. What is i rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*n + 99, n - 3*n = 2*t - 96. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -567 - -801. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27129 is divided by 13501.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:57 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (0 - (-15 + 11 + -2) - -36)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213530 + 3133?\nAnswer: 221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 14*v - 28. Suppose -u + 4*y + 28 = 0, 6*u + 4*y - 68 = u. Calculate r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1080, 2148, 3214, 4278, 5340, 6400?\n\"Answer: -b**2 + 1071*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/101 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-23 + (5 - -36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -31. Let n = 23 - t. Suppose -n*b = -h + 1, -4*h + 25 = b - 15. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1178, 2, 6509 in decreasing order.\nAnswer: 6509, 2, -5, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1945224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26334 is divided by 753.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 194730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 172\/3*k - 280 + 16*k**2 - 4\/3*k**3 = 0. Calculate k.\nAnswer: -5, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/30)\/(10\/(-50)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117, 196, 297, 432, 613, 852, 1161, 1552?\n\"Answer: 2*p**3 - p**2 + 68*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-5)\/360*3)\/((-17)\/51).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 4*t + 4*z + 80 - 110, -10*t + 98 = -5*z + 28 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1564*r + 347211. Let d be x(222). Let -7\/6*s**2 - 1\/6*s**d - 8\/3*s - 2 = 0. Calculate s.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*u - 2 - 749*u + 2.\nAnswer: -215*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 470*n**2 - 1055*n**2 - 888*n**2.\nAnswer: -1473*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 598.\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -4 + 6 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.034, -3, -161, 4?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 65 + 7*t - 17*t.\nAnswer: 4*t - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 6. Suppose x*f + 10 = 4*i - 2, -2*f = -5*i + 13. Sort 0, -1, f in descending order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 872128 and 56?\nAnswer: 6104896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v - 4. Let p be (-6)\/v*14\/(-105). Which is the third smallest value? (a) 1\/3 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.55, 3, 1\/8, 358, -12, 3\/5, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 45*x + 17. Let k(t) = 721*t + 273. Let g(m) = -3*k(m) + 49*q(m). Does 7 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 + 13 = -2*d, -5*t + 25 = -5*d. Let h be -1 + (-12)\/d + -5. Does 6 divide (5 - (-27)\/(-6)) + (-23)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10026 + -12485?\nAnswer: -2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -46.7. Let y = -0.3 - m. Let w be -5*(-15)\/(-350)*(-12)\/9. Which is the third biggest value? (a) w (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 11 - 6 + 31 + 50 to q*c + g and give g.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.2, 2, -6\/7, 0.41, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 5*u**2 + u - 3*u + 9*u**3 to the form t*u + c + h*u**3 + p*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + m - 1. Let y(v) = 20*v**3 + 24*v**2 - 24*v + 24. What is -24*j(u) - y(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 17*k - 40. Suppose 3*j = -4*h + 9, -2*j = k*j + 4*h - 12. Solve -f + f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2. Let g(d) = 28106986*d. What is x(g(u))?\nAnswer: -2370007986012588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, f: 4, m: 2, t: 3}. Give prob of picking 1 t and 2 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 2. Let s(k) = -k. Let r(a) = 2*a**2 + 38*a + 1. Let u be r(-19). Calculate u*l(t) - 3*s(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311245 is divided by 76?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6804 + 6804 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - j - 2*j + (2 - 4 + 4)*(-2*j + 5*j - j) + (-3*j + 3*j + 2*j)*(1 - 4 + 5) to u + d*j and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33249, 133774, 301315, 535872?\n\"Answer: 33508*f**2 + f - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24416 and 36163584?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*x, -4*b + 32 = 3*x - 7*x. Suppose 28*v + 187 = 47. Sort b, 2, v, 40.\nAnswer: v, 2, b, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {x: 1, d: 3, t: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149700 and 900.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -956, -6, 2\/11, 1\/157.\nAnswer: -956, -6, 1\/157, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10060245 divided by -346905.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1611*g + 325 = -3210*g + 1624*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*r + 161542, 3772*p = 3776*p - 32. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:53 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 18638*a - 1459920.\nAnswer: -2*(a + 79)*(a + 9240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*j + 8853 = 7*w, -5*w - 3*j = -8857. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1192091 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 973740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.5 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/7 + 3 + 2\/7. Suppose -7*c - 312 + 3175 = a. List the prime factors of c.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*n**3 - 155*n**3 + 753*n**3 + 370*n**3.\nAnswer: 1262*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-48)\/(-20). Solve -z*l + l = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 = -26*l - 524. What is the remainder when l is divided by (16\/(-8))\/(2\/(-31))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2024\/9 or -2\/11?\nAnswer: 2024\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Let c(k) = 12*k - 24. Let p be c(2). Solve 2*u + v = -p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -87, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-24010)\/(-1610) + ((-234)\/(-46) - 30\/6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6)\/(24\/6 + -1). Sort v, -1\/2, 1, 2 in increasing order.\nAnswer: v, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-275 - 340 + 112)*(-4 + 0 + 3)*(-8*s - 8 + 8) as p*s + t and give p.\nAnswer: -4024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z**3 + 15*z**2 - 12*z + 20. Let j(c) = 5*c**3 + 5*c**2 - 4*c + 7. Let w(r) = -7*j(r) + 2*x(r). Let l = -7991 - -7986. Is 13 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 2615430*c.\nAnswer: 5*c*(c + 523086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2. Let o(c) = 6*c - 13*c + c**2 + 0*c + 6*c. Let g(p) = 4*p**2 - 2*p. Let a(f) = -g(f) + 2*o(f). Calculate r(a(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/6*6 - -3. What is the third derivative of i**2 + q*i**2 - 6*i**2 - i + 18*i + 117*i**6 wrt i?\nAnswer: 14040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(4\/3)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (4 - 41\/5)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1413509 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -83. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654019?\nAnswer: 1654019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4163 = -2*b + 4369, 5*b = -4*v + 21316. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsb when three letters picked without replacement from bsb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q - 251*q - 249*q + 3*t - 28 = -743*q, 0 = 308*q + 5*t + 1535 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11506.95 meters?\nAnswer: 11506950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 15\/(-12)*-4. Solve 2*p + 10 = -0*w - 4*w, -p + i*w + 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, i: 3}. What is prob of picking 1 e and 1 i?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-84)\/35 + 3). What is the third derivative of -3*b**n + b - 8*b**3 + b**5 + 90*b**2 - 92*b**2 wrt b?\nAnswer: -120*b**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 943\/6 in -4, 2, 0, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101362 divided by -50681.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2300203233032?\nAnswer: 2300203233033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147777796.\nAnswer: 2, 3137, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 6)*(8*b**3 - 2*b**4 - 8*b**3 - b**2)*(125 - 63 - 15) as m*b**4 + a*b**2 + f + p*b + q*b**3 and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39102 and 6384?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 162, 311, 460?\n\"Answer: 149*g - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*m - 290*m + 52*m + 320. Solve 1 + 11\/3*j**m - 6*j**3 + 5\/3*j**5 + 13\/3*j - 14\/3*j**2 = 0 for j.\nAnswer: -3, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 37 = -2*l, 0 = 4*l + 5*g - 1 - 48. What are the prime factors of ((-3)\/(-12)*l)\/((-3)\/(-404))?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:10 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 3660 - 3870 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13084980 and 690?\nAnswer: 300954540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -43*r**4 - 2*r**2 + 2*r + 32. Let q(i) = -43*i**4 - 3*i**2 + 3*i + 33. Let x(b) = -3*d(b) + 2*q(b). Differentiate x(l) with respect to l.\nAnswer: 172*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 17*z + 4. Let c(x) be the third derivative of x**5\/60 - x**4\/6 + x**3\/6 - 5*x**2. What is 9*c(b) - 2*u(b)?\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 - 38*h**2 + 12*h**2 + 19*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48286.\nAnswer: 2, 7, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 2*h**2 + 8*h - 4. What are the prime factors of r(9)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.6 + 8.4. Which is the second smallest value? (a) r (b) -0.7 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1258*-1760\nAnswer: 2214080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48d0 (base 16) in base 3?\nAnswer: 221120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4359*a**4 + 2254*a**4 + 2216*a**4)*(2 - 5 + 1).\nAnswer: -222*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:41 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8993.\nAnswer: 1\/8993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8302481706.\nAnswer: 2, 3, 1383746951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4517 + 4521. Solve -3*w + r*v = 5 + 6, 2*w = -5*v + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/((-1)\/6*-3). Let g = -29 + 40. Let h = g - i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11121*b**3 + 0 + 11118*b**3 + 0 - 22253*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 45. Suppose -l = 4*q - 19. Suppose 0 = z - 4*v - 8 + 1, 2*v - 35 = -q*z. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*q - 10, 118*l - 121*l - 4*q = -6. Sort 24, -3, -4, l, -5.\nAnswer: -5, -4, -3, l, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.98752ml in litres?\nAnswer: 0.02598752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 - 5*g + 4. List the prime factors of n(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1305 divide 140356665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.15, -0.2, 4, 11, -12\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -29*p + 1488. Let h be i(45). Suppose l - 2 = 1. Suppose -5*j = 7*x - 2*x - 220, 4*x - l*j = h. What is the remainder when 88 is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1 + (-4 - 1 + 3)*(6 - 3 - 1))*(0 + 10 + 1)*(-5 - 4 + 6)*(-5*j - j + 4*j)*(-3*j**2 + 3*j**2 + j**2) as d + a*j + w*j**3 + y*j**2 and give w.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0467 * 67.\nAnswer: 3.1289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1570 - -866. Let g = c + 709. Let o = -2.92 - 0.08. What is the nearest to 4\/5 in g, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - d**2)*(-6 + 1 + 2)*(1 + 0 - 3).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**7\/2520 + l**6\/90 + 3*l**5\/40 + 23*l**4\/12 - 23*l. Let n(b) be the third derivative of a(b). Calculate n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 2. Let n be g(-4). Let j be (-180001)\/n + (-6)\/12. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2772)\/154*3\/(-12)*-6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 22*y + 708. Determine w(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9744166481 rounded to three dps?\nAnswer: 0.974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2667248 and 32.\nAnswer: 5334496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 40. Suppose -2*h = -5*w - 15, -9 = -0*h + 3*h + t*w. Is 2\/11 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 - 2*r**2 + ((2 + 0 - 3)*(1 - 1 + 1) + 4 - 4 - 2)*(-2*r + 2*r - 20*r**2).\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -3)\/1 - 4\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:24 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65332275 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3241 - 3238. Solve -13 = 8*s + o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 3. Suppose -4*f + 4*m + 48 = 0, 23 = f + f - 3*m. Let x(j) = f - 5 + 3*j**3 - 9 - 2*j**3. Let r be (6\/9)\/((-2)\/6). What is r*h(u) - 6*x(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1236 - 1234. Which is the third biggest value? (a) 0.03 (b) w (c) 6\/13 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 2. Let n be j(-8). Suppose 7*g - n*g = 78. Suppose -2*p + g = h + 2*h, -26 = -h - 4*p. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - 2) + -5)*(-15 - -8). Let l be ((-36)\/a)\/(1\/(-7)). Solve -6*f + s = -3*f - l, 2*f + 5*s = -13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:32 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 74?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 38 = 18. Let b be 56*(1 + 3 + t). Let g = b - -55. Do -1\/48 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -1463.2319709.\nAnswer: -1461.2319709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2408906*y**4 - 2*y**3 - 3*y**2 + 12274*y - 19 wrt y?\nAnswer: -28906872*y**2 - 12*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:04 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*q + 285*q + 385*q)*(q**2 + 0*q + 0*q) + q**3 - 2*q + 2*q + (3*q + 0*q - 2*q)*(3*q**2 + 0*q**2 - 2*q**2).\nAnswer: 513*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 13*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3065918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 5. Let k be g(-9). Let b(w) = -5*w**2 + 4*w + 4. Let i(m) = -6*m**2 + 5*m + 5. Let o(x) = k*i(x) - 5*b(x). Find f, given that o(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 + 2\/3. Let y be (-1)\/(-2) + (-3)\/2. Is y equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/36 - 54\/8. Let v(b) = -15*b + 4. Is v(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmdrfffffddddmrfdd. What is prob of sequence mfm?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1454 + -4?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*t - 8, -26*t - 6154 = -3*m - 6166 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1642 or 0.1?\nAnswer: -1\/1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -o + 3, 0*o + 5*o + 2*q = 15. Let n(x) = 5*x - 5 + o + x**2 + 6. Does 7 divide n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164543 + 329087\/2. What is n in o*n**2 + 2*n - 1\/2*n**3 - 2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -28, -59, -114, -199, -320, -483?\n\"Answer: -a**3 - 3*a**2 + 3*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l + 5*l - 4*l. Let i(o) = -2*o**2. Calculate p(i(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(4 + (-45)\/10). What is the fourth smallest value in z, -0.5, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56\/36)\/7)\/((-10362)\/(-16956)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f + 4. Let k(h) = -6*h + 2. Let w(i) = 13*k(i) - 6*q(i). Does 13 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 75.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9022325*g**4 - 3*g**3*y**2 - 3236026*y**2 - 3 with respect to g.\nAnswer: -36089300*g**3 - 9*g**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/5)\/((-208)\/(-520)). Let t be (p\/(-12))\/(115\/(-25530)). Solve 0*q + 5*q - 17 = -2*n, -3*n + 5*q - t = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/16)\/((-66)\/55*(-10)\/(-8)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231189983 to the power of 1\/2, to the nearest integer?\nAnswer: 15205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - 30245\/(-1578) - 20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 130. Let n = m - -86. Let c = n + 8. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 966 by 2.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {e: 1, k: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10681*u + 4911*u + 19*u**3 + 5770*u.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-24)\/(-2))*45\/10. Let u(k) be the second derivative of m*k**2 + 0 - 1\/8*k**4 + 0*k**3 - 4*k. Factor u(b).\nAnswer: -3*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 3*i)*(4*i - i - 2*i) + 7*i - 8*i**2 - 7*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 38640126.\nAnswer: 38640131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 less than -232430?\nAnswer: -231646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21038.97 kilograms to grams.\nAnswer: 21038970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -8*o**2 - 7\/24*o**4 - 7\/6*o**3 + 0*o + 0 + 1\/30*o**5. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*w**5 - 23856*w**2 + 22846*w**2 + 14*w**3 - 3*w**5 wrt w.\nAnswer: 4440*w**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11737 - 166?\nAnswer: 11561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*q = 386*q + g + 5, -24 = -5*q - 4*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 38. Let c be d(15). Suppose 0 = -4*p - 3*t + 1892, -5*p + c*p - 1419 = -3*t. What are the prime factors of p?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84978556\/19 or 4472555?\nAnswer: 4472555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11348 and 984.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198 - (7 - 6 - 2). Let z = 36 + y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 4*x + 2. Let s be t(-6). Which is bigger: -0.3 or s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6 + 1 + 6*z - 3. Suppose 2*f = -4*i + 4*f + 30, 4*i = 4*f + 32. Calculate the remainder when t(i) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1433 divide 135071714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 2*s**3 + 11 + 2*s - 3*s**3 - 4*s. Calculate the remainder when a(-7) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.16 (b) -15\/14 (c) 4\/7 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31733627956.00000023 + 31733628174. Let q = i - 218. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*u - w + 8 = 0, -4*u = 4*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 855 - 0.07\nAnswer: 854.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9419, 37678, 84775, 150710?\n\"Answer: 9419*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*v**2 - 6*v - 69*v**2 + 9*v - 66*v**2 + 201*v**2.\nAnswer: 6*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**3\/13 + 110*c**2\/13 + 27584*c\/13 - 36960\/13 = 0.\nAnswer: -60, 4\/3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5 = -8*s, 3*s + 2*n = 9 - 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3387, -3382, -3373, -3360, -3343?\nAnswer: -3322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 999.4931 + 0.9069. Round k to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7789 is divided by 80.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:31 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 14*o - 9 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 52*d**3 + d**2 - d + 1. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 6*b - 6. Suppose 0 = -6*q + 3*q + 6. Suppose 4*y + 18 = -c, -q*c - b = y - 0. Solve c*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*a**3\/7 + 344*a**2\/7 - 974*a\/7 - 444\/7 = 0. What is a?\nAnswer: -37, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3645*f = 3582*f + 1008 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -62 (c) -3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/11 - 12*r\/11 - 18\/11 = 0. Calculate r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91628, 365856, 822902, 1462766?\n\"Answer: 91409*c**2 + c + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 490224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 78*h**2 - 52*h**2 + 55*h**2 + 10*h - 3.\nAnswer: 81*h**2 + 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(637)*1 + 5 - (1*(sqrt(637) - (sqrt(637) - -2*sqrt(637)))**2 - sqrt(637)) - ((sqrt(637) - (-1*sqrt(637) + 0)**2) + 1*sqrt(637) + 3))*1.\nAnswer: -1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9994 (base 11) to base 16\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -30 in increasing order.\nAnswer: -30, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + -18 + 6)\/(6\/3). What is the nearest to x in 7, -3\/7, -0.32?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404907 divided by -4.\nAnswer: 404907\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 - 77778*k**4 + 233283*k**3 + 622188*k**2 - 933180*k - 1244304 = 0.\nAnswer: -2, -1, 2, 4, 25923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*n**2 + 1498*n**2 + 799*n**2.\nAnswer: 1587*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-69)\/2829)\/(1\/11). Let m = -606490518\/205 + 2958482. Let x = m + d. What is the common denominator of x and 19\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26.7668 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 13263 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-42))\/((-5)\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -60 - 30. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1459773)\/24534*(4*-2)\/((-9)\/((-27)\/14)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238601 + -238630. Let g be (-1)\/((2 - 1)\/(-3)). Sort -5, n, g in increasing order.\nAnswer: n, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(2\/3))**(-1\/5)\/((v*v**(-2\/5)\/v)\/v**(1\/15)) assuming v is positive.\nAnswer: v**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46235667, -46235660, -46235639, -46235598, -46235531, -46235432, -46235295, -46235114?\n\"Answer: q**3 + q**2 - 3*q - 46235666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/7*m - 2\/7*m**2 + 0 = 0. What is m?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2820, 5647, 8474, 11301?\nAnswer: 14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.184392 - 12673\nAnswer: -12673.184392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose 1 + o = -q, 2*f - 60 = 2*q. Suppose 3*z = 4*m - 505, -m - 5*z + 4*z = -135. What is the greatest common factor of f and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26346*c**6 - 10*c**3*q**3 + 11*c**2*q**3 - 13*c**2*q - 226*c**2 wrt c?\nAnswer: 3161520*c**3 - 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3844 divided by -108?\nAnswer: 961\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 5)*6\/4. Put 5, w, 2 in ascending order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 115, 108, 99, 82, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 + 6 = 0. Suppose 17 = i - 2*o - 17, -3*o = w*i - 33. Let -35*p + 13*p**3 - 477*p - 21*p**3 - 192*p**2 - 2*p**4 - 512 - i*p**3 = 0. Calculate p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -32*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402.511 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264b56 (base 12) in base 5?\nAnswer: 1411213001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -4*(sqrt(270) + sqrt(30)) + sqrt(150)\/(sqrt(5)*-1))\/(5*(sqrt(1210) - (sqrt(1210) + sqrt(1210)*2 + sqrt(1210) - sqrt(1210)) - sqrt(1210))).\nAnswer: 16*sqrt(3)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5)*(59 - -1). Suppose -3*a - 55 = 2*b + 23, b + 5*a = -39. Let y = 57 - b. What is the greatest common factor of c and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27527*b - 3660 = 27283*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 5. Let b be t(-13). Suppose -7*d + b*d - 4 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7424*i + 133637. What is b(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/3)*o**(-2\/7) assuming o is positive.\nAnswer: o**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 4, c: 2}. Give prob of picking 1 c and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 - 4*g**2 + 1. Let s be (-9)\/2 - 1\/(-2). Let k(o) = -o**3 - o**2. Give s*k(v) + r(v).\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5.6 (b) -0.3 (c) -1 (d) -1\/10 (e) 0.18 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752 + 10*l**2 - 756 + 0*l**2.\nAnswer: 10*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2835463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1101979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:09 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**2 + 0*s**2)*(4*s**3 + 0*s**3 - 2*s**3) - 3*s**5 - 2*s**2 + 2*s**2 - 2*s**5 + 4*s**5 - 9*s**5.\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 1:00 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = 0, 4*o - 3*c - 161 = -13. Factor -5*f**3 + o*f**2 + 34*f + 35 - 60*f + 5*f**2 - 49*f.\nAnswer: -5*(f - 7)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*s**3\/8 + 2667*s**2\/8 + 10653*s\/8 - 13467\/8.\nAnswer: 3*(s - 1)*(7*s + 67)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 2:34 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/1 + (-11 + 95 - -4). Let k(r) = -p*r**2 + 187*r**2 + 2 + r - 89*r**2. What is k(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 6*p - 5\/3*p**3 - 5\/2*p**2 - 5\/12*p**4 + 0. Factor i(f).\nAnswer: -5*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 4)*(-8)\/6. Suppose 4*n - 8 - k = 0. What is the third smallest value in n, 0.1, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429289 is divided by 4656?\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 1:30 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 40 + (5 - (145 + -9))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12013.2 or 767?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -27.88.\nAnswer: -34.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odddddooddddddd. What is prob of sequence odoo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 + 90*m - 1040 = 0.\nAnswer: -26, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 697561688 a multiple of 4741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 52. Suppose 3*g = -5*q + 4*g - 6, g = -q - 6. Let v be ((-9)\/(4 + 5))\/(q\/16). Let s be d(v). What is the greatest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 553*j**6\/120 - j**5\/60 + 9*j**4\/4 + j**3\/2 + 1245*j**2. What is the second derivative of g(x) wrt x?\nAnswer: 3318*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116*(-3 + (-95)\/(-20)). Let c = 204 - u. Solve -7 = 3*j - c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -13 + -20 - -14 - (16 + -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 18*r**2 - 16*r - 13. Is l(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77 times -3?\nAnswer: -8.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g = -15350 + 15650. Let w(q) = q**2 - 2. Let v(k) = k + 3. Let l(z) = 2*v(z) + 3*w(z). Let r(f) = -f**3 - 17*f**2 - 11*f. Give g*r(y) + 34*l(y).\nAnswer: -6*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let f(i) = -6168*i - 4676. Calculate f(o(l)).\nAnswer: 6168*l**2 - 4676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 - 83*k**3 + 29*k**3.\nAnswer: -71*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 54 = 29*t. Suppose -9*b - 18 = -t*b. Let w(o) = 1 - 7*o + 5*o**2 + o**3 - 1 - 3. Give w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m - 3. Let r be j(2). Suppose -z = r, 2*z + 145 = 5*q - 2*z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 37?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1369123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:16 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27041 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.241 and 3315300325.\nAnswer: 3315300325.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/9 and 0 + ((-243)\/6)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054 = -395*h - 47*h - 7358 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 at most as big as 697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f + f**3 - 15*f + 2*f**2 - 2*f**2 to g + b*f**3 + l*f**2 + c*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/34938 and 79\/30.\nAnswer: 174690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 11*n**3 - 46 - 24 + 99.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -531 + 530.96. Sort -2\/13, p, -1\/2 in decreasing order.\nAnswer: p, -2\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*l - 408. Let t = l - 201. Solve -2*a + k - t = -12, 3*a + 5*k - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2711, 5413, 8115, 10817?\nAnswer: 13519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472\/(-12708)*(-9)\/(-62)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - 6*c - 218. What is f(-11)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/84*-6)\/((-114)\/399)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-64))\/((-3)\/(-1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048*f + 174*f + 399*f = 1045*f + 2705*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 15*c = -96. Suppose p + 4*u + u - c = 0, -18 = -4*p + 3*u. What is the smallest common multiple of p and 0 - (1 + -4) - -24?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 40*c**4 + 240*c**3 - 51 + 0*c**2 + 2*c + 1\/6*c**6 - 11\/2*c**5. Find z, given that s(z) = 0.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 11 + p + 6101*p**2 + 6109*p**2 + 6*p**4 - 12209*p**2 to s*p**4 + i*p**2 + c + j*p**3 + r*p and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -1.03. What is the second biggest value in -0.8, 3, z?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4633049?\nAnswer: 4\/4633049","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4005*s**2 + 11*s + 8. What is the tens digit of w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2386 - 2385. Solve -7 + z = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94945659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:11 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52747\/4 or 13186?\nAnswer: 52747\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -21 + (-82 - (36 - 221)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/170 - 2*a**4\/51 + a**3\/17 + 19*a - 1. Factor i(y).\nAnswer: 2*y*(y - 3)*(y - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 0 = 3*i - 5 + h. Let x = -661 - -669. Calculate the least common multiple of i and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13409 by 352.\nAnswer: 1219\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-1008)*52\/1092.\nAnswer: 1\/196","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Suppose 5*i = -5*u + 3*i + x, 3*i = -2*u + 1. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227399.\nAnswer: 227399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwttwttwtwwtww. Give prob of sequence wt.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 77 + 4 = x, -5*x = 9*j - 179. Solve 22*w + 4*f + j = 20*w, -w = 4*f + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/9 + 26578*o\/9 + 1929536\/9 = 0 for o.\nAnswer: -13216, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1105 and 2.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1794\/(-195))\/(2\/(-10)). Which is bigger: 43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 812\/(-98) + (-4)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0757 + 0.9243. Are 2.6 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(-3)*0. Let a = -130 + 135. Suppose -a*n + 65 + 115 = m. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 14. Let z be w(0). Let m(q) = 2*q + 5. Suppose -9*u + 108 = -3*u. What is the lowest common multiple of m(z) and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 s when four letters picked without replacement from wwswwswwsw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 8*s - 10. What is the third smallest value in 3, -2\/5, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44242 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 216730661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/2 + -21\/4. Let v = 0 + 0. Let h*a**2 + v*a + 0 = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**2\/2 - 182. Let d(p) = 18*p + 2. What is d(s(y))?\nAnswer: 18*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2060968414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234 + 182. Let j be ((-12)\/(-3) - 1)*r\/3822. Let i = 4 + -3. Is i at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680966 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3944\/(-174)*21\/(-238).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t. Let d(j) be the second derivative of 25*j**3\/3 - 8*j + 45. Determine i(d(k)).\nAnswer: -1150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 14) + 13 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 2*z. Let v be (-21)\/(-14)*(-20)\/(-6). Suppose 0 = 3*w + 2*w + v. Sort w, 0, z in descending order.\nAnswer: 0, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15cb + -6?\nAnswer: 15c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27745*y**3 - 27612*y**3 + 55345*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16266, 16235, 16204, 16173?\n\"Answer: -31*v + 16297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7\/3)\/z)\/z)**(-20) assuming z is positive.\nAnswer: z**(260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -59*g**7\/14 - 209*g**3\/2 - g**2\/2 - 5*g - 191. What is the second derivative of d(a) wrt a?\nAnswer: -3540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1434809181 + -7\nAnswer: -1434809188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 398171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhcm when four letters picked without replacement from {s: 2, h: 2, m: 1, u: 1, k: 1, c: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from cchhhh?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 + 240 = 510*r - 1717 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5389\/1460 + 3\/73. What is the common denominator of k and -17\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - 2*v + 1. Let x be g(-3). Let w = -77.9 - -78. Let u = -10.72 + 10.52. Which is the third biggest value? (a) u (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/6 - 7*b**3\/6 - 23*b**2\/2 - 39*b\/2 = 0.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 2646772.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21318 and 816.\nAnswer: 170544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 62 and 190\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/24 + x**3\/3 - x**2. Let s(v) = v**3 - 9*v**2 - 28*v + 61. Let m be s(11). Give t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/35 - ((-48)\/30 - -7)) + 1554. Which is greater: a or 1547?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 683*i - 360604. What is y(528)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/1)\/(9\/9). Let y(i) be the second derivative of i**3 + 2*i**2 + i. What is the tens digit of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 14 = 0. Let l = 15 + y. Let r = -321 + 335. What is the remainder when r is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*t + 4768 - 306. Put t, -4, 2 in descending order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 5)\/(2\/30). Suppose 2 = -x*i + 16*i. Suppose i*d + 15 = 5*d. Solve 5*p + 5 = a, 3*a + 4 + 1 = d*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427 divided by 7\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-3\/23)*(n\/n**8)\/n**(-6) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.08837182 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = b, 214*y = 5*b + 215*y + 24. Let u(z) = -1 - z**2 + 0 + 1 + 3*z + 1. Let g be u(2). Sort g, b, 7, -1 in decreasing order.\nAnswer: 7, g, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4235023 + -4?\nAnswer: 4235015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2 + 6 - z**2 + 8 + 0 + 2*z. Calculate the remainder when f(5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*(g\/g**(-4\/3)*g)\/g*g*g*g**5*g*(g\/(g*g**15\/g*g*g*g)*g)\/(g\/(g*(g*g*g**3*g)\/g)) assuming g is positive.\nAnswer: g**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 960799\/1879240 + 2\/21355. Find the common denominator of k and -57\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 14*b**2 + 11. Let s be r(-7). Suppose -c - 5*i + 10 = -s, -3*i + 56 = 2*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + 3*u**2 - u**2)*(1 + 0 + 1)*(1550*u + 6 - 1615*u - 3) as i*u**2 + m*u + k + n*u**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 42. Let f be m(7). Which is the nearest to 0? (a) f (b) -0.3 (c) 0.088\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/sqrt(275))\/sqrt(11).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**5 - o + 1. Let z(u) = 10*u**5 + 10*u - 5. Let k(t) = 5*q(t) + z(t). What is the second derivative of k(y) wrt y?\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = -2*c, 0 = -5*c - x - 7 - 19. Let n(t) = -11*t - 9. Calculate the remainder when n(c) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 17*o - 1420. Suppose 5*n - 1459 = -2*a, a + o = n + 4*a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - -2) + 0)\/(-1). Let y be (o\/(-1) + -15)*1\/1. Suppose -9*p + 14*p = -5*v - 40, 2*v = -5*p - 25. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by -10 + 6 + -1 + 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -57*w**3 + 2*w**2 + 9*w + 1. Let q(l) = 60*l**3 - 3*l**2 - 13*l. Calculate 4*q(g) + 6*y(g).\nAnswer: -102*g**3 + 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 25 = 38. Let f(y) = y - 26. Let w be f(13). Let v = w - k. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 34353803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.09440449.\nAnswer: 0.009440449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.032 + -5.068. Let t = h + 5. Is t less than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/(-84))\/(10\/(-135)). Put -1, 2, l, 1 in decreasing order.\nAnswer: 2, 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -20.2?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)*h\/(h**(-40)\/h))\/(h\/(h**(-7)\/h)*h\/(h*h**(1\/29)\/h*h)) assuming h is positive.\nAnswer: h**(494\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1339 + 4022\/3. Let g(n) be the second derivative of -7*n - 7\/2*n**2 - c*n**3 + 0. Differentiate g(p) with respect to p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.9972 - 36. What is n rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 12:10 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z. Let m be k(-2). Let n(q) = -q + 2. Let i be n(m). Suppose -i*l = -3*l - 1055. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 105. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 34*m - 63*m + 30*m)*(2*m - 2*m**2 - 2*m) as g*m**2 + r*m + z + t*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*j + 1 - 1)*(-11*j + 10*j - 12*j) - 3*j**2 + 75 - 155 + 83)*(5*j + 0*j - 3*j) to t*j + x*j**2 + u + p*j**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8127 = -x - 3*x - 3*q, 4*q = x - 2008. Let d be (-598)\/x - (-1)\/3. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 7\/3)\/((-53)\/283497). Suppose 3*v + i = 13606. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v**(-6)*(v**(-2\/11)*v)\/v**5)\/((v**(-2\/5))**27*(v\/(v**1\/v*v*v))**(-4)) assuming v is positive.\nAnswer: v**(-516\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13965\/(-1820) - (-270)\/40?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -371 - -292 - (-35 + 4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2275*v. Let m(n) = -1299027*n. Calculate 4*m(r) + 2283*y(r).\nAnswer: -2283*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 9518394\nAnswer: -19\/4759197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 41. Give t(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 11*w**4\/2 + 81*w**2 + 106*w + 115. Let d(h) be the first derivative of v(h). Differentiate d(q) with respect to q.\nAnswer: 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 434*q. Let w(a) = -88*a**2 - 138*a + 2. What is w(y(u))?\nAnswer: -16575328*u**2 - 59892*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (-256)\/44 - 24\/231. Which is the nearest to 2? (a) f (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3274 + 3272 - 6546 - 2877*w.\nAnswer: -2877*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.2 (b) 9\/8 (c) -1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 + 4*t + 5. Let j(a) = a**2 + a. Let h(z) = -5*j(z) + l(z). Let q be h(4). Calculate the highest common divisor of q and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d - 1. Let i = -1 - d. Let l(x) = -x + 7. Let k(f) = 2*f - 6. Let v(u) = -6*k(u) - 5*l(u). Calculate v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 12*h + 13. Let g be w(-13). Suppose 3*v + 5*t - 25 = g, -2*v + 14 + 11 = 5*t. Solve v*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395777580 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 7. Let k be c(6). Let y = -13 + k. Suppose -3*v - y*h = -1, h - 21 = -5*v + 4*h. Solve 3*g - v = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 1, f: 5, a: 3, n: 1}. What is prob of picking 1 y, 2 b, and 1 n?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -9\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 - q. Let h be x(1). Suppose 4*b = -5*j + h, 5*j + 26 = 3*b + b. Suppose -z - 32 = -3*f, 2*z + b - 3 = -f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*i = -1 + 14, 5*i = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 28206256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**3 + 3*h**2 + 3*h. Determine p(-2).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 108 = 4*r, 4*n - 3*r + 52 = 253. What is the lowest common multiple of n and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-84)\/(-8)))\/((-12)\/28)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -77\/2. Let t = -0.1 + -0.1. Let s = t + -0.8. Which is the closest to 1\/3? (a) s (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -37. Let a be (-6 + 1 + 4 - -6)*5. Let p = a - o. Calculate the remainder when 15 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 + 6 = 2*r, 5*r + 2*l + 9 = 0. Let t(g) = -10*g + 3. What is the remainder when t(r) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*m + 134 = 150*m + 44 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 11*p - 301. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.86056 to 2 decimal places.\nAnswer: -65.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 102?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from {z: 10, g: 3, y: 2, l: 4}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1617206 + -626206. What is j rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2007955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 10*h - 10. Let g be a(-5). Let z be (0 + 4)\/(1\/4). Suppose -2*n + 116 = 5*c + z, n = c + 64. Calculate the greatest common factor of n and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose -4*k = v - 7 - 8, -4*v + 2*k - 30 = 0. Let p = b - v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27619, 27607, 27587, 27559, 27523?\nAnswer: 27479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tit when three letters picked without replacement from {t: 2, o: 6, k: 3, n: 5, i: 2, e: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.3, -2\/3, 0?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3 - 20 - 30 - g.\nAnswer: -g - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.04 (b) -2\/1517 (c) -0.01 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4244 + 502 + 176 = 214*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/5 + 1167434*p\/5 - 1167432\/5 = 0. What is p?\nAnswer: 1, 583716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 35*h**3 + 8*h**2 - 6*h + 3. What is the tens digit of f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 1350*n - 704. Determine p(-113).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4512 and 15.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.1 - 31. Let x = -19435 + 19297.83. Let z = -138 - x. Do z and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7244*v**3 + 39*v**2 - 988*v + 40. Let l(r) = -r**3 - 8*r**2 - 8. Let i(t) = 5*l(t) + w(t). What is the third derivative of i(z) wrt z?\nAnswer: -43494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from tttttrrttttttr.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by 2\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5 - -12)\/49)\/((-2)\/59) and -145\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -685, -683, -681, -679?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7467 - -2.8767. What is the second smallest value in -27, 0, 1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3580 or -3578?\nAnswer: -3580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:29 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1464548*f**4 - 2*f**2 + 3546844 wrt f.\nAnswer: 35149152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 1. Let i be j(-1). Let k = 9 + i. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(152)\/(sqrt(8) + sqrt(32)\/sqrt(4)*-3) + -1 + ((sqrt(76) - 1*sqrt(76))*-6)\/(-4*sqrt(4)*-2 + sqrt(4))).\nAnswer: 3 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k + 30*k = -79 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 4 - (sqrt(2) + sqrt(72)\/sqrt(4) - sqrt(2) - sqrt(2)))*-5.\nAnswer: -15*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (4*(sqrt(66) + sqrt(66) + sqrt(66)*-1) + sqrt(66))) + -1*sqrt(66)*-5)\/(-5*(2*(sqrt(6) + sqrt(36)\/sqrt(6)) + sqrt(6))).\nAnswer: -sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -z + 5, -590*z + 591*z - 2*r = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 6. Let h(d) = d**2 + 8*d - 9 + d**2 - p*d - d**2. What is h(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/120*w**6 + 0 - 5\/12*w**4 + w**3 + 0*w - 5*w**2 + 11\/60*w**5. Let h be a(10). Is h less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 20, -115*a + 112*a + 5*j = -40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d - 5*d)*(d**2 + 3*d**2 - 2*d**2) + (-2*d + 1 - 1)*(-2*d**2 + 4*d - 4*d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13231 (base 4) in base 16?\nAnswer: -1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.2 and -1.1?\nAnswer: 16.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(68)\/sqrt(100) - -5*sqrt(85)\/sqrt(5)*-1.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 36*c - 1366. Give u(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 215, -5, -1 in ascending order.\nAnswer: -5, -2, -1, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.83363 meters to kilometers.\nAnswer: 0.02883363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1587 divide 217346317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -58*(-5*1 + (-150)\/(-20)). Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8*z)\/z**(-7))**34 assuming z is positive.\nAnswer: z**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3622086 (base 9) in base 8?\nAnswer: -7372413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 4:33 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 108520\/(-8)*12\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 4*s + 7, -2*s + 4*m - 2 = 0. Which is the third smallest value? (a) 1 (b) s (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6414140 and 426.\nAnswer: 19242420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 5\/3*x**3 + 8*x - 15\/2*x**2 + 0. What is the first derivative of j(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15129, -60483, -136073, -241899?\n\"Answer: -15118*h**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + (-11)\/(-3). Let u(r) = -9*r - 456. Let l be u(-51). Suppose -3*h = c - 26, -l*c + c - t*h = -44. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l**2. Let p(k) = k**2 - 11. Determine m(p(g)).\nAnswer: 33*g**4 - 726*g**2 + 3993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/2520 + 23*w**5\/60 + 3*w**4\/8 + w**2. Let g(l) be the second derivative of b(l). What are the prime factors of g(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 10*i + 9. Let w(h) = -h**2 + 12*h - 9. Let k(a) = 4*j(a) + 3*w(a). What is k(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - (5 + 0))*2\/8. Suppose 0*j - 1 = -j. Let b be 0 + (0 - j\/(-30)). Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2 - -8) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-250)\/(-1700)*16\/(-140)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:21 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82753?\nAnswer: 11, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.5062 != 441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-9)\/15 + 0 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, -29, 11, -14 in decreasing order.\nAnswer: 26, 11, 1, -14, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 14*x + 11*x - 8*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*107\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, 0, 0.4, 0.02, -72, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606 is divided by 206.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (sqrt(245)*-4 - sqrt(245)) + 1 - sqrt(245))**2 + sqrt(245))*3.\nAnswer: -189*sqrt(5) + 18378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 4, -4, -5.\nAnswer: -5, -4, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83159 divided by -1.\nAnswer: -83159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251214, 502295, 753364, 1004415, 1255442, 1506439, 1757400?\n\"Answer: -q**3 + 251088*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**2. Let w(t) = -5*t. Calculate w(z(u)).\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 4, -1\/4, 22880, 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4883889*f**5 - 2*f**3 - 46417749*f.\nAnswer: 97677780*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*z**3 - 19*z**2 - 10*z + 4 wrt z?\nAnswer: -72*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - 303.8?\nAnswer: -302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 10*i - 265 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49575, 99151, 148727?\nAnswer: 198303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 118075058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-14 - (-1955)\/140)*7. Let l(z) be the third derivative of -z**4\/12 - z**2. What is l(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-511)\/(-365) + (-22106)\/(-10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -765, -5914, -14497, -26514, -41965, -60850?\nAnswer: -83169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-24)\/18 + 2\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 160?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 1\/120*q**6 + 8*q**2 + 1\/2*q**3 + 1\/60*q**5 + q + 0 - 5\/24*q**4. Factor f(o).\nAnswer: (o - 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 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: What is the first derivative of -763*d**4 - d**3 - 10*d**2 - 148193 wrt d?\nAnswer: -3052*d**3 - 3*d**2 - 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27253 - -28904. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -33\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02559795 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhhkclchkckcchhb. What is prob of sequence bl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**3 + 2*s**2 + 7*s - 11. Let o(q) = -13*q**3 - 3*q**2 - 10*q + 16. Give -7*l(b) - 5*o(b).\nAnswer: 2*b**3 + b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-428)\/6. Calculate the highest common divisor of b and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/1574 + 322329\/3935. Let f = r - 82. Suppose 0 = h - 2*h. Do h and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46996179 is divided by 23498074.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 643, 1285, 1929, 2575, 3223?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*z - 4 - 8, -18 = 3*z + h. Let x(s) = -2*s - 14. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w, -4*n + 1534 = -3*w + 2*w. List the prime factors of n.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 107. Suppose 104 = 8*i + 16. Let q(p) = 2*p**2 - 19*p - 6. What is the remainder when r(0) is divided by q(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*4\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (408\/476)\/((-3)\/(-66570)). Calculate the greatest common factor of l and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(252)\/sqrt(6))\/sqrt(6) - (2 + sqrt(567) + 2)).\nAnswer: 20 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 4.06. Let u = -8 + d. Which is the nearest to u? (a) 0.3 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79143321 at most 79143321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4416 and 5?\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:21 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:11 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*d + 7, 3*d - 35 = -5*i - 2*d. Suppose i*c = 2*c + 55. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -79*z + 10940. What is k(140)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:02 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/765 and -32\/183?\nAnswer: 46665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.72 - 1. Let t = 362 - 362.69. Let j = x + t. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31732\/6)\/((-146)\/(-219)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -17*v**2 - 924*v - 331. Give c(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Let o be 6\/12 + (-9)\/(-2). Suppose q + 4*v = -24, -5*q - o*v - 37 = -2*q. Let s(h) = 7*h + 4*h - 1 - 13*h + 0 + h. Give q*x(u) + 6*s(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168*4.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, h: 1, k: 11, o: 1}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457 - -46. Suppose -4*h + i = -3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, m: 2, g: 5}. What is prob of picking 2 h and 2 g?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, 11031, 1, 5 in descending order.\nAnswer: 11031, 5, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 + 7*f**3\/3 + 5*f**2\/2 + 2*f + 1. Let s(r) = -r**2 - 7*r + 20. Let i be s(5). Let c = 34 + i. Determine q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17714*p. Let b(s) = 6*s. Give b(m(g)).\nAnswer: -106284*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*g = 5*a + 132, 2*g - 116 = -42*a + 49*a + 118 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -k - 70. Let z(m) = 23*m**3 - 4*m**2 + m + 1. Let p be z(k). Let v = -406 - p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337770347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 2*t - 3*t + 6 + 3*t. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131775150+0.2\nAnswer: -1131775149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1080*z + 16185. Give g(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133594 is divided by 44523.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2904, -7422, -11940, -16458, -20976?\n\"Answer: -4518*n + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 + 1 = 0. Let j = 7 + r. Suppose j*a - 12 - 3 = -l, a + 5*l = 21. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p)\/(p\/(p*(p\/p**(1\/8))\/p*p)))**32*p**7\/((p**7\/p)\/p*p)*p\/(p\/p**(1\/9))*p*p*p\/p**4*p assuming p is positive.\nAnswer: p**(-890\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -29123.\nAnswer: -5824.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8.412 + 131309002\nAnswer: 131309010.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3 + (-7)\/(-15 - -8). Let a(c) = -8*c + 36. Let v be a(r). Suppose -2*l + 2*n = -32, -2*n + 20 = 3*l + 2*n. Solve -l = -4*m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y + 4*y)*(-y + 3*y - 4*y) + y**2 + y - 4*y**2 - 5*y**2 as n*y**2 + k + g*y and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11129753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let p be (-19)\/l*(-485)\/10. Let z = -443 + p. Find the common denominator of z and 45\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -3 - (-13)\/(-13)) + (0 - -3630)?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13662 or -14604?\nAnswer: -13662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 - 76791*u**3\/2 - 115185*u**2 - 230369*u\/2 - 153579\/4.\nAnswer: -(u + 1)**3*(u + 153579)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/2 - 28257*p**2\/2 + 3608391*p\/2 + 3636645\/2 = 0.\nAnswer: -9545, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -572301557 to the nearest 1000000.\nAnswer: -572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*c + 33, 84 = 3*q - 0*c + 4*c. Suppose -i - q = -5*i. Suppose -d + 10 + i = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19535509 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -976*h**2 + 2*h + 20. Let r(i) = -2928*i**2 + 5*i + 53. Give 8*k(v) - 3*r(v).\nAnswer: 976*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000384 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 510271647 to the power of 1\/3, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c. Let u be f(-1). Sort u, -4, 1 in descending order.\nAnswer: u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 47*i**2 + 84*i - 31. What is the tens digit of p(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 20. Suppose 0 = -5*f - 22 - 3, r*d - 5*f = 35. Suppose d*z = 52 - 18. Calculate the remainder when 82 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 3441?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 47. Let t(w) = -5*w + 16. What is the remainder when t(s) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7927 - -7927. Which is greater: q or 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 93. Suppose 21 = 3*i + x*i. Solve r - 3*b - 17 = 0, 4*b + 15 = 5*r + i*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x - 5. Let r be f(7). Let h(p) = -3*p**2 - 2*p**2 + 3 - 10*p**3 + 4*p + 11*p**3 - p**r. Determine h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -261 + 7?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 948.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nss when three letters picked without replacement from {n: 3, s: 11}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175344896.\nAnswer: 2, 67, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - -2*sqrt(396)*-6) + sqrt(396) + sqrt(396).\nAnswer: -54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 1\/2, 2, 1\/3, 0.2 in increasing order.\nAnswer: -76, 0.2, 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30053521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, c: 2, m: 1, w: 2}. Give prob of picking 1 m and 2 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 6*y - 7. Let z(m) = -m**2 + 3*m - 3. What is 4*l(s) - 9*z(s)?\nAnswer: s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12. Suppose 5*i - 7*i + t = 0. Solve 0*o + i = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12670997.35*0.3\nAnswer: 3801299.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 114*n**3 + 1371*n**2 + 5472*n + 6912.\nAnswer: 3*(n + 3)**2*(n + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (-95 - -83)) + -141\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/117692218?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 15. What is the units digit of 8\/(-2)*v\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 6\/325 (c) 1275 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:24 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzp when four letters picked without replacement from {z: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4666?\nAnswer: 5\/4666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4628770479 + 3*w - 2*w - 4628770479 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, -3*f - 42 = 3*w - 8*f. Let u be ((13\/w)\/(-13))\/(4\/14). What is the nearest to u in -122, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20319 is divided by 6769?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2\/3, 2159, -0.4, -5 in descending order.\nAnswer: 2159, -1\/3, -0.4, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa94 + 1?\nAnswer: -aa93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*o - 72 = 2*o, 2*k + 4*o - 72 = 0. Let d = -27 + k. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211612?\nAnswer: 2, 3, 13, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 77, 186, 339?\n\"Answer: 22*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-835)\/36 - -2) + 6. Let l = j + 130\/9. Which is the nearest to 3? (a) 0.1 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1051\/1908 + 1\/212. Sort 3, t, -5, 2 in descending order.\nAnswer: 3, 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 6*t + 3*t + 5*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.999996. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let v(a) be the first derivative of 6*a**2 - 3*a + 555. Calculate p(v(z)).\nAnswer: 24*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 17701*b - 313325401\/2.\nAnswer: -(b - 17701)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -38, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2. Let c(v) be the third derivative of 19*v**5\/60 - v**4\/12 - 42*v**2 + v. Give c(z(a)).\nAnswer: 171*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4*s + 6. Let a be u(5). Let w(z) = -z**3 - 5*z**2 - 6*z - 6. Let f be w(-4). Let g(t) = -2*t + 8 + 6*t**3 - 5 + 0 - f. Calculate g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2240 = 13*f + 121. Suppose 158*u = f*u - 1045. What is the remainder when u is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6842*o + 6897*o + 2761*o.\nAnswer: 16500*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -2\/19, 525179.58, -3\/2, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3083853 by -149.\nAnswer: 20697","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express -527*n + 264*n + 167*n as b + f*n and give f.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from ajjkkbabjkjjjkajmba?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:31 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2485 and 4063115.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 3. Let u be r(2). Let w(t) = 6*t**2 - 274*t + 170. Let g be w(45). Put g, -2, u in decreasing order.\nAnswer: -2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-770)\/1485)\/(8\/(-72)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*b = -2*b - 15, 0 = -3*d + 4*b + 12. Suppose 4*o - m - 600 = -43, d = 3*m - 9. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-7 + -4 - 4)) + -3 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.58 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/13, 950, -4 in decreasing order.\nAnswer: 950, 2\/13, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 20, 24, 28?\n\"Answer: 4*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 1. Let d be (-16)\/7 + (-4)\/(-14). Let c be g(d). Suppose 5*x - 5 = -v, -v = 3*x - 2*x - c. Put -4, x, 3 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2)\/((-108)\/(-4) - 25). Let h(l) be the third derivative of 0*l**3 + 0 + 32*l**2 + 0*l - 13\/60*l**5 + m*l**4. Let b(c) = 2*c. Give h(b(u)).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca + -c0?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 839309*v. Let r(j) = 27*j**2. Give r(d(x)).\nAnswer: 19019869131987*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-9\/2)*i\/((((i**(-5)*i*i)\/i*i)\/i)\/i) assuming i is positive.\nAnswer: i**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-16 - -17) + 2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b - 31. Let g be n(3). Solve 5*x - 4 = -4*v + 21, g*x = v - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201 or -35546\/3?\nAnswer: -35546\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*2 + -3*sqrt(99)*-3)\/(-1*(sqrt(9) - sqrt(225))*-5).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 188?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 142\/(-140) + (-14)\/28*(-6)\/10\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 65*d - 20. Does 12 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -332 or -6?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4)*(-3*q + 3 - 3) + 43 + q + 0 - 23.\nAnswer: 16*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169117688, 338235373, 507353058, 676470743, 845588428, 1014706113?\nAnswer: 1183823798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47899 + -47891. Let c(s) be the third derivative of s**6\/120 - 3*s**5\/20 + 11*s**4\/24 - 23*s**3\/6 + 4*s**2. Calculate c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(sqrt(5) + ((1*(sqrt(5) + -1 + sqrt(5)) - sqrt(5)) + sqrt(5) - sqrt(5))).\nAnswer: -15 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*x - 28 = 1138*x, -6*o + 50 = -4*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2 + 3*c**3 + 9 - 3*c**3 + c**3. Suppose -o = -3*o + 52. What is the remainder when o is divided by m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 4. Let d be f(0). Let b = 201421\/4 - 50355. Sort d, -7, -8\/3, b in ascending order.\nAnswer: -7, d, -8\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q**2 - 14*q - 12. What is the remainder when 889 is divided by n(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 113 = 5*j, -5*c - 3*j = -7*j + 233. Calculate the common denominator of c and -73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*a - 20 = 0, 14 = f - 4*a - 1. Let w(z) = -z**3 - z**2 - 4*z - 4. Let j be w(f). Solve 5*x - 21 = v, j*x + 10 = 2*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -102, -103, -104, -105, -106?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/983 - -1025\/41286. What is the second biggest value in 5, l, 4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9075, -17663, -26117, -34371, -42359?\nAnswer: -50015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 3*i**2 + 514*i**3 + 5*i**2.\nAnswer: 514*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49, 0.4, 3\/11?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*c = -5, 7 = -4*c - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-24)*((-243)\/15)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(-810)\/(-216)*(-16)\/6. Solve n*c = -10*c - 75 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 76. What is the smallest value in -1, -0.1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1870*h = 921*h + 1363*h - 32706 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (23 + (-38 - -8) - (-2 - 2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - l - 4. Let h = -227 + 224. Give c(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 15*j**3 - 2910*j**2 + 5825*j**2 - 2915*j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i**5 + 1910*i**4 + 415*i**3 - 1910*i**2 - 424*i = 0 for i.\nAnswer: -212, -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-7) - 69750\/(-210)) + 0 is divided by 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-6)*(189\/(-294))\/(12\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1422432 divided by 4.\nAnswer: -355608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 5. Let s be (-66)\/(-429) + (-141)\/(-13). What is m(s)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -25 + 737. Suppose -4*r = 5*u - 174, 4*u + 38 = -3*r + z. Suppose 42*s = u*s. Solve 3*h = -s*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 320*n - 319*n. Put n, -12, 0, 6 in ascending order.\nAnswer: -12, 0, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.394 + 8956.1.\nAnswer: 8930.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 + 4*v**2 - 11*v - 13. Let m be q(-4). Let d = -104 - m. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.1 - 35. Let y = x + -0.5. Suppose 0 = 4*q - 3*m + 32, 2*q + 2*m + 2 = -0. What is the second smallest value in 0, y, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from jjjjbbjjjjjjbjjjjjjb.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let o(w) = -2*w. Let j(i) = 4*o(i) - 7*r(i). Let d(u) = 2010*u**2. What is d(j(c))?\nAnswer: 2010*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**2 + 99*k + 549. Let p be d(-5). Does -145 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + (-7 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.74 + -1.4. Let z = 1.61 + y. Let v = 0.05 + z. What is the nearest to v in 2\/7, 4\/5, -2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -415720 and -3.\nAnswer: -415723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1301 - -6?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**2*t**2 - 2*a**2*t + 2*a**2 - 600430*a*t**2 + 274*a*t + 2*a - 2*t - 150 wrt t?\nAnswer: 18*a**2 - 1200860*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -200, 450, 2818, 7762, 16140?\n\"Answer: 143*n**3 + n**2 - 354*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**2*z - 135*i*z - 407*z wrt i.\nAnswer: -6*i*z - 135*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-6) + 4\/(-6). Let g = -0.64 + 0.24. Which is the closest to 1\/4? (a) 4 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.098 - -2.438. Let i = -114.66 - o. Let g = -116.898 - i. Round g to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3223 - 3216.2. Which is the second biggest value? (a) -0.9 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/7)*z*z**13\/z)**(6\/7) assuming z is positive.\nAnswer: z**(594\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:32 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(17) + sqrt(68) + -4 + (-3*-1*sqrt(17) - (1 + sqrt(17))*2) + 2.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 969.4809 millilitres?\nAnswer: 0.9694809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - 1. Suppose -4*z - 3*y + 28 = z, -2*z - 5*y = 4. Calculate the remainder when c(z) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*s - 0*s - 43, -4*s + r = -32. Let i(p) be the second derivative of -p**5\/20 + p**4\/2 + 7*p**3\/6 + 7*p**2\/2 + 3*p + 10. Determine i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 4\/(-64) - (-1356)\/192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let f = -26251 + 26247. Which is the closest to 1? (a) -1 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-75)\/(-36)))\/((-1)\/(-70)*(-1281)\/122)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 90 = -73*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 2\/(-7) - 681\/(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*j)*(4 - 5 - 12) + 1 + j - 1 in the form w*j + o and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 5*g - g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18374190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4.3 (b) 0.2 (c) 1.2 (d) -1\/3 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 - 15*i**2 + i - 31. What is the lowest common multiple of 4 and b(-8)?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 - -223. Let o(z) = -8*z**3 + 6*z**2 + 13*z + 1. Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 34*i + 40. Let m(d) = -3*d**2 + 42*d - 40. Give -5*c(g) - 4*m(g).\nAnswer: -8*g**2 + 2*g - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4212 + 4.5788. Sort -0.2, u, -1.1, 98.\nAnswer: -1.1, -0.2, u, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**3 + o**5 - o + 7*o**3 - o**3 + (-3*o - 4*o + 26*o)*(10*o + 17*o**4 - 10*o).\nAnswer: 324*o**5 + o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30\/4944601 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + 14*m**3\/3 + 2*m**2 - 60*m + 701. Give l(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-700)\/(-4004)*26\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m - 15. Let a be g(12). Suppose -74*n = -25*n - 3871. Let l = a - n. Solve 3 - l = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -0.041548?\nAnswer: -5.041548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 6. Let t be o(8). What is the second derivative of z**5 + 14 + 12*z**4 + t*z**4 + 13 + z wrt z?\nAnswer: 20*z**3 + 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:32 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (1 + 0) - (12 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75.78 - -157.08. Let g = x + -25.06. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/6 - (-3)\/(-6). Which is the third smallest value? (a) -8 (b) -5 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -106. Sort 1\/4, p, 1 in ascending order.\nAnswer: 1\/4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28 = -0*s + 4*q, -3*q = 2*s + 11. Suppose 0 = -4*h - 2*a + 14, 2*h - a = -3*a + 12. Let b be 1 + (3 - 2) + h. Solve 1 = s*u - b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(425) + -1 + sqrt(425) + 4 + ((sqrt(425) - -1*sqrt(425)) + -1 + sqrt(425)*-2*-2)**2.\nAnswer: -50*sqrt(17) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 18, u: 2}. Give prob of sequence ubu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2140*z + 2140*z - 2*z**3 + 3*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - (4 - 11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -376, -357, -320, -259?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*d + 3, -4*c + 6 = d - 5. Suppose 3*w - 2*g - 7 = 0, -30*g = -w - 39*g - 17. What is the closest to w in c, -0.05, -3\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 25. Let r = 9 + -9. Suppose r = n*w - 7 - 13. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*o - 30, -187*y - 17*o + 9704 = 255*y + 15*o - 37*o + 10*o for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/16)\/(924\/1232). Which is the closest to -1\/2? (a) 25 (b) -1 (c) s (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + -6.8. Which is the biggest value? (a) 0 (b) -2\/3 (c) w (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 6 - 11 + 1339*f.\nAnswer: 1339*f - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 247. Which is bigger: 15.8 or s?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174, -185, -212, -261, -338, -449, -600, -797?\n\"Answer: -p**3 - 2*p**2 + 2*p - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -183097?\nAnswer: -5\/183097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19653 or -19652?\nAnswer: -19653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.501 * 0.021.\nAnswer: -0.031521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 less than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4115 = 2*i - 5*p - 4119, 4 = -i + p for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/3*(-6)\/4. Suppose 6*f - r*d = f - 30, 4*f + 2*d = 0. Let t be 54\/21 + (-728)\/1274. Put t, f, 4 in increasing order.\nAnswer: f, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -568, -773, -1070, -1477?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 15*g - 250, 3*t - 54 = -959*g + 962*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21615 - -21614.8. Let s = 2 + 4. Let j = s + -6. Which is the closest to -1\/4? (a) -3 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2*h**3 - 10*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1691?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 0*h)*(4*h - 5*h + 3*h) + (-h + 0*h + 2*h)*(6*h + 5*h + h) + 3*h**2 - 5*h**2 + 4*h**2 - 5*h**2 - 12*h**2 - 5*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6511997.\nAnswer: 6511997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 655181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 14*g**2 - 4*g**2 + 4*g**2 + g**3 + 4. Let v be k(-13). Let s = 19 + v. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*u = -b + 63, 4*b - 3*u - 207 = 0. Let k be 96\/b + 2\/9. Sort k, 0, -4 in decreasing order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -273 + 292. Suppose 7*x - w = 23. Solve 4 = 2*j - x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36164205 take away 0.4?\nAnswer: -0.76164205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 8 = 0. Let f(d) = -d**3 + 7*d**2 - 5*d - 3. Suppose -23 = -4*b - v, -19 = -4*b - v - 4*v. Let m be f(b). Solve m*i = 16 - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 7*y - 7. Give o(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, a: 3}. Give prob of picking 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 - 6*c - 4. Let p be (192\/112)\/((-3)\/((-21)\/2)). Let x(i) = -8*i**2 + 7*i + 5. What is p*x(q) + 7*v(q)?\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/268 and 77\/20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-924)\/88)\/(3\/(-2)) - -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 111101011?\nAnswer: 1000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10723361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 275623, 275615, 275605, 275593, 275579, 275563?\n\"Answer: -p**2 - 5*p + 275629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4104 or 4260?\nAnswer: 4260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -120. Let v be (-3 + 13\/r)*90. Let n = v - -43. What is the lowest common multiple of n and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3057, 2449, 1437, 21?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.7193301024 - 38.7?\nAnswer: -37.9806698976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 + 0.46. Let u = 9001.8 - 9002. What is the third smallest value in 25, z, u?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyyqaqqyqaqyqaqqqqq. Give prob of picking 1 q, 1 y, and 2 a.\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17 (b) -4\/3 (c) 439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1069, 8, -10\/13?\nAnswer: 1069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -19. Suppose 0 = -4*i + 20 - 8. Suppose y = i*n + 3*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 83*d - 5. Let m be (-8)\/4 + 4 + 0 + 9. What is the units digit of h(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*k - 53*k**2 - 2*k**4 + 67*k**2 + 1 + 3*k as v*k**4 + h*k + q*k**2 + m + u*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 21, 2 in decreasing order.\nAnswer: 21, 3, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + x**4\/24 - x**3\/3 + 11*x**2. What is m(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 0*t + t**2 + 0*t + t)*(2 - 4 + 1).\nAnswer: 3*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 26656*t - 8885.\nAnswer: -(t - 8885)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/83 and 39\/10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -2\/7 (c) 4\/7 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14269 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Let x(b) = -109543401*b**2. Calculate x(y(i)).\nAnswer: -109543401*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, a: 5, g: 2}. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 97638*k + 96*k**2 + 97638*k in the form x*k**2 + y*k + n and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106723.4 litres in millilitres?\nAnswer: 106723400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*t - 3. Let w = 13 + t. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.1. Suppose 2*b - 9 - 11 = 4*o, -o = -4*b - 2. Let y = o - -7. Sort y, -5, w in descending order.\nAnswer: y, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s - 4. Let t be a(-2). Let y = t + -12. What is the smallest common multiple of 1 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46490, -46516, -46568, -46652, -46774, -46940, -47156?\nAnswer: -47428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -11.7. Let i = 1.1 - -3.9. Which is the nearest to -1? (a) i (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 461\/9. What is the smallest value in r, -18, 2\/15?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q + 62. Let z be d(4). Let w(r) = -43*r**2 + 20*r**2 - z*r + 37 - 40 + 16*r**2. Let y(p) = -8*p**2 - 7*p - 3. Give 7*w(k) - 6*y(k).\nAnswer: -k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 - 8291*y = 0.\nAnswer: -8291, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 562373563 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 43739.21457 to the nearest integer.\nAnswer: 43739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 - 0?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -23. Let z = 6 + n. Let w be 30\/z - (-6)\/8. Let q(v) = -3*v + 4. Determine q(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-204) + ((-6)\/(-18))\/((-4)\/6)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(4\/24*3)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7 - 6*c + 13*c - 8*c + 7. Let w be f(0). Solve -k = 3*k + y - w, y = k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9 + 5. Let i = 0.10024 - b. Round i to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-630)*-7)\/((-1540)\/28875).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 3*a**2 + 2*a + 2. Let r be 1*-6*(-1)\/2. List the prime factors of s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*t + 4*t + 4*b, -22 = -3*t + 2*b. Suppose 3*k = t*k - g, 5*k - 35 = -2*g. Solve 2*n + 2 = -c - 0*c, 0 = 4*n - k*c + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -5\/4*d**3 + 2*d**2 + 2 - d. Factor k(g).\nAnswer: -(3*g - 2)*(5*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12820852.6 rounded to the nearest one hundred thousand?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058779 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 6, 5\/2, -1\/6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 71235 = -s. Is s 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 byxgg. Give prob of sequence yg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395635 times 4?\nAnswer: 0.158254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -16*o + 17*o - 8, -2*k + 5*o = 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5071685043.\nAnswer: 3, 131, 1093, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r - 3. Let y be g(2). Let w(z) = 2*z + 6. Let i be w(y). Let a be i\/(-2)*1\/(-4). Solve 0 = a*m - 9, -4*o - 3*m + m = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*q**3 + 108*q**3 + 41*q**4)*(q + 0*q + 2*q).\nAnswer: 123*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1792 + 1789. Sort -2\/55, 2, 0.1, z, 0.5.\nAnswer: z, -2\/55, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 140*r**2 + 21 - 64 in the form q + k*r**2 + l*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 1409*m - 1413*m = 29, x = -3*m + 1 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*o + 2. Let w be (0\/1)\/(1 + 1). Let x be (0 - 0\/2)\/(292 - 295). Solve o*y + x*y + 8 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 462\/121 - (-2)\/11. Let s(y) = -2*y + 5. Let l(k) = -k - 9. Let d(h) = 6 + 1 + h + 10. Let w(z) = 3*d(z) + 5*l(z). Calculate f*s(m) - 3*w(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5925*i**3 - 31071*i**2 + 26568*i - 1836 = 0.\nAnswer: -6, 6\/79, 17\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + -4 + -2*sqrt(6)\/sqrt(2) + -5)*-2)**2 - 3*(sqrt(12) - (sqrt(12) - sqrt(48)*3))\/(sqrt(8)\/(-2*sqrt(2))).\nAnswer: 108*sqrt(3) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from unnn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/15 - w**4\/24 + 2*w**3\/3 - w**2. Let j be u(3). Is (-14 - j)\/(2\/(-13)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 6. Let u be (-4)\/(2\/(0 - -2)). Let m be j(u). Let c be (-3)\/(-9)*m\/(-4). Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**5))\/(a**(2\/7)\/a*a))\/(a**(-1\/2))**2 assuming a is positive.\nAnswer: a**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, 17, -7, -6 in ascending order.\nAnswer: -7, -6, -4, 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 9.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 69*d**3\/2 + 171*d**2 + 1114*d + 1260.\nAnswer: (d - 63)*(d - 10)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -314, -703, -1238, -1913?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3730186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s - 4. Let w be t(-4). Let g = -2 + w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 2*l**5 + (3*l**2 - l**2 - 5*l**2)*(2*l**3 + 0*l**3 - 4*l**3).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2177 - -2087 - (-3 - 34).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, -940, -4435, -11554, -23503, -41488, -66715, -100390?\nAnswer: -143719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stwllket. What is prob of sequence tk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (-32)\/(-4)) + 0\/5. Let v be 4\/((-16)\/28)*-3. Let r be 29\/3 - (-7)\/v. Calculate the highest common factor of z and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/2)*c**12 assuming c is positive.\nAnswer: c**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.459 - -1.859. What is the second biggest value in 0.5, -38, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196688, -26, -9 in descending order.\nAnswer: 196688, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/9 (b) -1 (c) -1\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.7991 milligrams in grams?\nAnswer: 0.4907991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqggdqbgdq. Give prob of picking 1 d, 1 b, and 2 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 11. Let l be z(12). Put 7, 39, l in descending order.\nAnswer: 39, 7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75573\/12620 + 102\/631. What is the common denominator of -57\/2780 and y?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 5, 6, -2, 0, -783 in ascending order.\nAnswer: -783, -16, -2, 0, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 10. Let c = j + -19. Let n = c + 13. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12184, 24358, 36532, 48706, 60880, 73054?\nAnswer: 85228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 360, -10, -4 in increasing order.\nAnswer: -10, -4, 3, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**5\/10 + l**4\/6 + 8*l - 9. Let p(y) be the first derivative of v(y). Factor p(s).\nAnswer: -2*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2603, -5275, 1.\nAnswer: -5275, -2603, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -13*l**6\/15 - 29*l**3\/6 + 16*l - 27. Let j(o) be the first derivative of r(o). Find the second derivative of j(y) wrt y.\nAnswer: -312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**7\/2 + q**6\/2 + 3*q**5\/10 - 15*q. Factor f(w).\nAnswer: -3*w**3*(w - 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(18\/108*2)\/(46\/3).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 4*y**2 - 1\/330*y**5 + 0 - 1\/66*y**4 + 1\/11*y**3 + 0*y. Factor a(h).\nAnswer: -2*(h - 1)*(h + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*(5 + 1). Let d = u + 7. Is d + -1 - (-475)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -20.4 (c) 2\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1992 and 50547.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 725*t**4\/4 + 1102*t + 1389. What is the derivative of l(k) wrt k?\nAnswer: 2175*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187019681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r + 26. Let x be w(-4). What is the first derivative of 15 + 27*b**x - 9*b**2 + 12 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76032109.\nAnswer: 17, 4472477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a69357 - -a?\nAnswer: 3a69365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 3.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y - 33 = -63*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 3982aa6?\nAnswer: -3982aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 125708?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7129624 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*z, 2*a + 30 = -4*z - 0*z. Let o(y) = 10*y + 12*y + 6*y - 27*y. Determine o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1303 - 384. Suppose -d + 2*d = -5*l + 224, 3*l + p = 4*d. Suppose 0 = h - d + 15. List the prime factors of h.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/74 and (-94)\/(-12)*(-282)\/(-40326).\nAnswer: 31746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 4 + 6 - 4*b**2 + 16*b**2.\nAnswer: 14*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 917683821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**7\/840 + w**6\/360 - w**5\/60 - 7*w**3\/3 + 5*w**2. Let t(f) be the first derivative of x(f). What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9590932, 9590933, 9590934, 9590935, 9590936?\n\"Answer: w + 9590931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 790 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + -111100202210100?\nAnswer: -111100202202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 + 2. Let p be f(-3). Suppose 3*l - p = -l. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 35237.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 7, w: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128504 + 128508. Suppose 0 = -2*t + k + 32, k = -3*t + 2*k + 50. Solve -h*b - 2 + t = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 2414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76356, -152698, -229040, -305382?\n\"Answer: -76342*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -29877.8.\nAnswer: -29877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 6*d - 2. Let g be v(5). Let h = 36 - g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-24))\/((-3)\/((-18)\/(-4))). Let n(g) = -g**2 + 38*g + 37. Let z(f) = f**2 + f - 1. Let l(h) = t*z(h) - n(h). Factor l(j).\nAnswer: 3*(j - 13)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 924 or 931?\nAnswer: 924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(1\/7)*z)\/z)\/z)\/z**(-5))\/(z\/z**(-2\/3)*z)**(-2\/27))**(2\/17) assuming z is positive.\nAnswer: z**(6056\/9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:49 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Let c(g) = 2 + 7 - 7*g - m + 6. What is the tens digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**6\/540 - t**5\/90 + t**4\/36 - t**3\/6 - 3*t. Let b(i) be the second derivative of n(i). Factor b(j).\nAnswer: 2*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2056015266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/9 + 392*t\/9 + 19208\/9 = 0 for t.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnpyiyppyncnycycnn. What is prob of picking 1 n and 1 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1)*2 - sqrt(180)) + -4 + -5 + (sqrt(180) - (3*2*sqrt(180) + sqrt(180) - sqrt(180)))**2.\nAnswer: 6*sqrt(5) + 4489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639 or -640?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.983 take away -153119902.5?\nAnswer: 153119865.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**7\/420 - 7*w**6\/180 + 35*w**3\/6 - 69*w**2. Let f(q) be the first derivative of z(q). Factor f(r).\nAnswer: 2*r**2*(r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 1. Let c(w) = 3*w**2 + 2*w + 3. Let v(y) = -y**2 - y + 1. Let i(p) = -c(p) - v(p). What is i(f) + 4*k(f)?\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (9 + 3 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/(b*b**(-7\/9)*b*b))\/(b*b**(-2\/33)*b*(b**6*b)\/b) assuming b is positive.\nAnswer: b**(-3184\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 1, s: 3}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4850020 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 1 v when three letters picked without replacement from vzvzzgyyz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171.8 - -171.9. What is the second smallest value in -1.29, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -t, -t - 4*t + 10 = -b. Solve -j + c + 6 = b, 0 = 2*c + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005935*l - 2011830*l + 1005921*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 9*t = -2*v, 2*v = 3*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/5 + 471458*a\/5 - 47146 = 0.\nAnswer: -117865, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.862 - -0.662. Which is the closest to -2\/3? (a) -4 (b) -1\/6 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*l = 496*l - 4*k - 96, -25 = 2*l + k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 127?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(500)*1)*6 + -3.\nAnswer: 5 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 13 = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w**2. Let z(t) = 3*t**2. Let s = 20 + -9. Let d(k) = s*z(k) - 2*j(k). Let g(m) = -14*m. Calculate d(g(i)).\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 26 = 4*x + 3*c, -5*x = -3*c - 46. Let v = 5 - x. Is v\/3 + 3 + 37 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 27, 69, 139, 243?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5649\/1614*(4248\/(-42))\/6?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4044?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 18 - (-1 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6810390 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/46691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = -4*a, a - 1 = 3. Let h be -3 - (y - (1 - -1)). Suppose 5*g + 107 = 2*s, -117 = -2*s + 3*g - h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 10*p**7\/7 - p**6\/3 - 3*p**3 - p - 38. Find the third derivative of f(z) wrt z.\nAnswer: 1200*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13003 + -22142?\nAnswer: -5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3424322244144 - 3?\nAnswer: 3424322244141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61498 + 10085715\/164. What is the common denominator of s and -11\/8?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10 and -47\/1012375705.\nAnswer: 2024751410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9508 + 9527. Let p = 2 - 1. Calculate the greatest common factor of p and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*c**2 + 6 + 18*c**3 - 44*c**2 + 0*c + 14*c - 16*c**3.\nAnswer: 2*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3 - 10*w**2 - w - w**3 - 9*w - 10. Let b(t) = 3*t + 6. Let z be b(-5). Let s be m(z). Solve 5 = -s*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/81529 and -41\/1385993?\nAnswer: 1385993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/829, -1\/3, 0.1, -45?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25053274 rounded to the nearest one hundred thousand?\nAnswer: 25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*y**3 - 735*y**2 + 419*y**2 + 295*y**2 to the form t*y + n + w*y**3 + m*y**2 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(-1 - 1). Let l = -144.904 - -0.204. Let d = 145 + l. Which is the third smallest value? (a) 0 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 746 + -309. Let z = p - 294. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.066 (b) 1\/3 (c) -9\/11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/4, -13765974, -4, -2 in descending order.\nAnswer: 1\/4, -2, -4, -5, -13765974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 395*p. Let z(t) = 2*t. What is n(z(r))?\nAnswer: 790*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49658 divided by -667?\nAnswer: -49658\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-2) + 6\/(-12)*4. Suppose -3*q = -3*u - 16500009, 17*q + 16500012 = 20*q - s*u. Round q to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 3717*k**4 - 3718*k**4 - 3 + 13 - 6*k to the form j*k**2 + h + b*k + r*k**4 + y*k**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.044\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542189 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -75 in increasing order.\nAnswer: -75, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 1161 - 1133 = -0*l. What is w in -8*w**3 + 0 - 44\/5*w**l - 4\/5*w = 0?\nAnswer: -1, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1422 and 4\/2325069.\nAnswer: 367360902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 362*h + 8 + 20*h**4 + 548*h**2 - 2*h**5 - 372*h**3 + 52 + 72*h**4 + 6*h**4.\nAnswer: -2*(h - 45)*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766226 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5364815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19*(-135)\/(-513))\/(4\/(-20)*-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + t + 18 = 23, 3*o - 3 = 5*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 4. Suppose -6*o = -2*o + 12. What is d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let f(t) = -7*t + 2. Suppose 6*m = -4 + 22. Let y = -110 - -109. What is m*j(u) + y*f(u)?\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/15 - (-14)\/6. Suppose 0 = -t*x + 18 + 40. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30571 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - i + 1. Let g be p(1). Let z = 2657 + -2657.5. What is the nearest to 2\/3 in z, g, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -36*p**3 - 2*p**2 - 2*p - 1. Calculate j(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/60*f**5 + 1\/6*f**3 + 0*f - 1\/12*f**4 + 2*f**2 + 0. Factor p(u).\nAnswer: (u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 + 4*h - 3. What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236466454 - -5?\nAnswer: -236466446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-10)\/y*y**(-2\/21)*((y\/y**0)\/y)**(-35) assuming y is positive.\nAnswer: y**(-212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times -23.64003\nAnswer: 101.652129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 h, and 1 q when four letters picked without replacement from hhxhhkhxqkxhkhqhhkkh.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 174623363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (153\/85)\/(2\/20). Suppose -14*g = -w*g + 1384. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 6:11 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165930377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 3, l: 9}. What is prob of sequence pp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 11*n**2 - 11*n - 9. Let r be u(12). Suppose m - 169 = -r*p + 2*m, 3*p - 5*m = 161. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57258 is divided by 27831.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6992 = 5*s, 6*z + 11640 = 11*z + 5*s. Calculate the highest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021373112 minus 14?\nAnswer: -14.021373112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -37. Let k = f - 17. What is the biggest value in 4, k, -0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 + -0.02. What is the closest to -4 in 3\/2, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 200633 = 7*n - 3*b, -4*b + 501572 = -5*n. Is n\/(-72) + 4 - (-2)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1001?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -646, -1301, -1962, -2629?\nAnswer: -3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39895 and 19118?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -1879233851.\nAnswer: -1879233859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 24*u**2 + 16*u + 9. Suppose -3*z = 3*i + 14 + 70, -3*i + 2*z = 69. List the prime factors of f(i).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 38*z - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1\/2 (c) -2.9 (d) -0.1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/1458*(-459)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g - 5. Let b(t) = -11*t - 2. Let a(k) = 5*b(k) - 2*w(k). Let d(x) = -2*x. Give d(a(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 bigger than 380853\/346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:19 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.08, -0.2, 2\/9.\nAnswer: -0.2, 2\/9, 2.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:39 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 16*o**4\/27 - 514*o**3\/27 + 32*o**2\/9 - 1294*o. Let k(t) = 0. Calculate t.\nAnswer: 1\/16, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 - 0.04. Which is the smallest value? (a) -6 (b) 6\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(107 + 0 + 7). Let i = 431 - z. List the prime factors of i.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15 - 5*g - 15. Let s be y(-1). Suppose -4*q - 40 + 6 = -3*z, 26 = s*z + q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79779960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 42 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2740 by -548.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l + 48 = 88*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:32 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 133 = -v. Let a be 0\/v - 1\/2*2. Calculate the remainder when (-17 - a)*(-20 + 18) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58491 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11*o + 15*o + 4308 = 0, 5*x - 2*o + 5364 = 0. Let j = x + 89141\/83. What is the third smallest value in -5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -545505863.5+0.94\nAnswer: -545505862.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -888083, -888084, -888087, -888092, -888099, -888108?\n\"Answer: -m**2 + 2*m - 888084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84846261*f**2*s**2 + 715713*f**2 + 2*f*s**2 - 2*f*s + 49*f + 2*s**2 + s wrt s?\nAnswer: -169692522*f**2 + 4*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -7124.\nAnswer: -7124, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -37, -55, -73?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -28*o + 32*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11132 and -15443.\nAnswer: -171911476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 11571 = -3*f - 2*f, 0 = 2*p - 2*f - 2574. What is the greatest common divisor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 9*v - 1. Suppose -y + 13 = 2*a - 1, -5*y + 3*a = -44. Let m be u(y). Calculate the greatest common divisor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*i - 819856 = 0, 3*v - 5*v + 327931 = -5*i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*d + 52 - 52)*(4*d + 0*d + 3*d) + d**2 - 5*d**2 - 1 + 6*d**2.\nAnswer: -894*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 13 + 12. What is the closest to -2 in 0.2, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 423*j + 6841 + 10563 = 0 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12.5, -472\/1093, 0, -5 in increasing order.\nAnswer: -12.5, -5, -1, -472\/1093, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-134*i + 172*i + 105*i)*(-4 - 10 + 3)*(2*i - 5*i + 2*i) to h*i**2 + b*i + g and give h.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3da + 18?\nAnswer: -3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5142313 - 0.3.\nAnswer: -5142313.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48129925 is divided by 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3, -7, -0.0351, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3879365 divided by 2.\nAnswer: 3879365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -965?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let u(x) = x**3 - x**2 - 2*x + 1. Let d be u(p). Suppose 5*j = c - 28, 0 = j - 0 + 5. Sort 1, c, d in increasing order.\nAnswer: d, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + 2*sqrt(240))*-6*6*1)\/((sqrt(500)*2 + sqrt(500) - sqrt(500))*1 - -4*(sqrt(45)*1 - sqrt(45))).\nAnswer: -108*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let n(s) = -6*s - 3. Let l(v) = 5*i(v) - n(v). Let g(k) = 4*k + 13. Let b(q) = -6*g(q) + 26*l(q). Let o(y) = -26*y. Determine b(o(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:01 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(350)*2 + sqrt(350))*1)\/((sqrt(28) + sqrt(28)*-4)\/sqrt(4) - 1*sqrt(21)\/sqrt(3)))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 304*a**2 + 27*a + 279. What is b(76)?\nAnswer: 2331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*v - 233*v = 21. Factor 2\/7*n**5 + 0 + 0*n**2 + 2\/7*n**v + 0*n + 4\/7*n**4.\nAnswer: 2*n**3*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -9*y**5\/4 - 381*y**4\/2 - 18477*y**3\/4 - 24933*y**2 - 42003*y - 18252 = 0.\nAnswer: -39, -4, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*g - 2928 - 1434 = 6 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from qjqjhslsjjqljkhqhj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*n + 260 = 0, -4*u = -2*n - 288 + 56. Suppose -o - 4*x = -u, -3*x = 4*o - 67 - 105. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153287, 306564, 459841, 613118, 766395?\nAnswer: 919672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -382, -357, -312, -247?\n\"Answer: 10*x**2 - 5*x - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 + 12*c - 2. Let a be w(8). Suppose -f - 4*f - 3*h = -a, -4*h + 7 = 3*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/2*(-40)\/(-32).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wklwcdawalld. What is prob of sequence ck?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(5) + -5)*3.\nAnswer: -30 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4803651 - -3?\nAnswer: -4803647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 1 + 5)*(1 - 1 + o) as m*o + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.85 (b) -1 (c) -83 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -295934 + 7*l**2 + l**2 + 295934. Let z(t) = 4*t**2 - 1. Calculate n(z(y)).\nAnswer: 128*y**4 - 64*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*r - 4. Let t(k) = -11*k**3 + 4*k - 3. Let b(p) = -23*p**3 + 7*p - 7. Let w(h) = r*b(h) + 7*t(h). Differentiate w(o) with respect to o.\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -15 - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2914321.792 rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55900, 111806, 167714, 223624, 279536, 335450?\nAnswer: 391366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**2 + 7*h + 5. Let l be y(-4). Suppose 101*g = 96*g + 3*q - 409, 5*g = 5*q - 405. Let t = g - l. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6, h + x - 50 = -2*h. Suppose h = 10*l - 2*l. Find the third derivative of 3*y**6 + 29*y**l - 15*y**6 - 3*y**2 wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(1\/10)\/((t\/t**4*t)\/(t\/(t\/(t*t**(-2))))) assuming t is positive.\nAnswer: t**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -98631759 divided by -3?\nAnswer: 32877253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 295 = -5*v, 3*v - 260 = 7*v + 4*f. Let a = -60 - v. Suppose -a*t = t - 282. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -182, 49.\nAnswer: -182, -1, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37827 is divided by 29959.\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Suppose 4*h - l = -0*l, y*h = -l. What is the units digit of h\/(-5) + 1*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66895*a**4 - 8566308 + 8566308 + (-a**2 + 2*a**2 - 2*a**2)*(-2*a**2 + a - a) in the form u + t*a**3 + k*a**4 + x*a + z*a**2 and give k.\nAnswer: -66893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 + 12*z**2)*(-4*z + 4*z - 3*z) + 3*z**3 - 12*z**2 + 12*z**2 - 3*z + 3*z + 2*z**3 + (2 - 2 + 2)*(-2*z**3 - 4*z**3 + 4*z**3).\nAnswer: -35*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 1000000000111111011101?\nAnswer: 1000000000111111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 69 + 79 = 0. Suppose y*u = 4*u + 126. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106567463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - ((-2)\/(-1))\/1. Let t(j) = -51*j - 30. Let x be t(2). Let d = 212 + x. Calculate the highest common divisor of d and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1776 or 1775?\nAnswer: 1775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 plus 0.004774?\nAnswer: -0.355226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.816 - 1.616. Which is the nearest to 45\/7? (a) p (b) 8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 - 47*x - 154 + 294.\nAnswer: -47*x - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/577 + 13181\/8655. Let l(p) = -23*p**2 + 2*p - 1. Let y be l(1). Find the common denominator of 12\/10*y\/33 - -2 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(448) - (1 + sqrt(448) + sqrt(448))))*3)**2 + -3 + -6*(sqrt(168)\/sqrt(54))\/(sqrt(4)*1*3).\nAnswer: -1298*sqrt(7)\/3 + 4110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34103 + -2?\nAnswer: 34101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212.0087662 + 212.01. What is h rounded to five decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -311478\/5?\nAnswer: -311478\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 14\/(-56)) + 9507\/52. Let a = t - 128611\/702. What is the common denominator of -52\/9 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfqxc. What is prob of sequence xxc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(2*(2 + sqrt(684)*-1 + -5) + -1)*1)**2.\nAnswer: 168*sqrt(19) + 2780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((30\/(-36))\/(-5)). Suppose -2*f - 3*t = 1104015, -2*t - 527838 = u*f + 1128172. Round f to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2 + 10*l. Is 13 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a1 - -3?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let o = 1 - n. Suppose 4*d = 5*v + 41, -4*v + 2 = d + 18. What is the second biggest value in v, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-7) - (4 + (-12)\/(-4))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than or equal to 156045.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 5*x = 131, 31*n - 6*n - x - 1 = 21*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2100 - 506. Suppose -3*i - s = -d, 3*i - 241 + 3432 = 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -7 + 13. Suppose -x = -5*a + q, -x - 4*x - 4*a + 14 = 0. Solve -n = x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1469 divide 14791361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 3658*f**4 - 7328*f**3 + 29262*f**2 + 65871*f + 32940 = 0.\nAnswer: -3, -1, 3, 3660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6 + 4 + 1 + 9*y**2. Let d be u(-2). What are the prime factors of 1953\/d - (-4)\/(-5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 42 = 4*m - 11, w = m - 13. Suppose 138 = m*b - 114. What is the greatest common factor of b and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183611721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 12:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-493)\/(-348) - 3\/4. What is the closest to -1 in 3, -0.1, l, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6228, 6212, 6186, 6156, 6128, 6108?\nAnswer: 6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**3 + 7*x**2 - 14*x + 1. Let b(w) = -12*w**3 - 15*w**2 + 27*w - 3. Let l(m) = -3*b(m) - 5*c(m). Determine l(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 2*b - 137 = 0, -2*b + 96 = 2*g + 128 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -10031?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 + -66 - (14 - 9)) + 28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153268 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 7. Suppose -4*c + 2*c = -68. Calculate the remainder when c is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 126. Let l(m) = -12*m + 11. What is the units digit of l(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 168*x - 1339. What is w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-39))\/((-2)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 1937147?\nAnswer: 1937115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87, -833 in decreasing order.\nAnswer: 87, -5, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 34742*r - 3318540.\nAnswer: 2*(r - 95)*(r + 17466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 21662979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k. Let h(p) = p. Let n(x) = -8*h(x) - r(x). Let a be n(-1). Suppose j + 3 = 4*j + o, 5*j + a = -4*o. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n = 31*n + 33780. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 279546229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yypiqylvqyvqvvyy. What is prob of picking 3 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.5 rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 + 98. Calculate the common denominator of 32 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.2 - 4.2. Let j = b - -121. Let d = j - 146.127. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*-8*(-17)\/11560.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 993253.53 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 246?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5 (b) 7\/170 (c) -0.08958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 - j - 7. Let s(f) be the second derivative of -f**4\/4 - 13*f**3\/3 - 5*f**2 + 2*f. Let o be s(-8). Does 4 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150\/199 + 131989\/597. Let a = d + -219. Let r be -2 + (-3)\/(27\/(-20)). What is the closest to 1 in a, r, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*i**2 + 67*i**2 - 55*i**3 - 15*i**2.\nAnswer: -55*i**3 + 87*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 6. Let h = 78 + -75. Suppose -71 = -h*i - 80. Calculate x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.24442872 to 3 dps.\nAnswer: 6.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 3870 + 2*t + 3061 + 3*t to the form n*t + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -80. Let j(x) be the second derivative of 0 + 0*x**3 - 1\/12*x**4 - 1\/10*x**6 + 0*x**5 - s*x + 0*x**2. What is the third derivative of j(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*b - 2653 - 2290 + 5215 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 19*c + 87. Let s be l(6). Let a(f) = f**3 - 15*f**2 + 58*f - 31. Let r be a(s). Solve -5*z = -x + 7, -x - 8 = -r*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1116, -1511 in decreasing order.\nAnswer: 19, -1116, -1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.241 + 0.747. Let h = n - 0.336. Suppose 2*u + 4*j + 12 = -0*j, 0 = 4*u - 4*j - 12. Sort u, h, 3, -0.2 in descending order.\nAnswer: 3, h, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -67, -112, -165?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.433391 and 0.0283?\nAnswer: -0.0405649653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2336*a - 322*a - 1485*a in the form w*a + g and give w.\nAnswer: -4143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times -0.8\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 292\/5. Suppose u - 2*u + 3*l = 84, -2*u = l + 140. Let k = u - -938\/13. What is the second biggest value in 5, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-4))\/(-4 + (-11)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 60*k - 180.\nAnswer: -5*(k - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Let b(s) = s**3 + 27*s**2 + 5*s + 5. Calculate -b(o) - 5*m(o).\nAnswer: -o**3 - 27*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3910*m + 3963. Let s(w) = -1956*w + 1982. Let g(i) = 3*h(i) - 5*s(i). What is the first derivative of g(y) wrt y?\nAnswer: -1950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b**2 - 8*b + 21. Suppose -1047 = 3*y + 2*m - 1049, 4*y - 18 = 5*m. Calculate a(y).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1193, -2\/23, 3, 70.\nAnswer: -1193, -2\/23, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 42*w**2 - w + 16. Give z(42).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 - 8 - 2*f**2 + 9 - 2*f**3 + 3*f**3. Let s be p(1). Find the third derivative of 910*z**5 - 894*z**5 + 15*z**2 + z**s - z**4 wrt z.\nAnswer: 960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:42 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250 - -269. Calculate the remainder when 70 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43374, 43428, 43510, 43614, 43734, 43864, 43998?\n\"Answer: -u**3 + 20*u**2 + u + 43354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 760, -2\/15, -42, 0.2, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from kkaaakkkaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:04 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 = 3*a. Suppose -97*x + 4*l = -93*x - 8, 5*x - 2*l = 16. Calculate the greatest common divisor of a and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2951 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10168 or -10169?\nAnswer: -10168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*n*r + 2886*n + 163*r**3 - 1 wrt r?\nAnswer: -6*n + 489*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, -0.4, 75\/4, -1, -2\/7, 534\/55?\nAnswer: 534\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 431 = 5*a, -6*q + 63 = -a - q. Let s = a + 116. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491580 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-1067)\/(-66) - 16)*1521\/(-390)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*b - b. List the prime factors of 35*b*(-14)\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -9 + (16 - -11) + 1 + -4\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/2, -2\/25, 3\/16 in descending order.\nAnswer: 4, 1\/2, 3\/16, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 174*a**2 - 5. What is u(1)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*x - 5 = -2*v - 100*x, 0 = 4*v - 3*x - 25. Solve 0 = -o - 0 - v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**3 - 32*a**3 - 5 + 166*a**3 + 4.\nAnswer: 168*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from rooooooooooqooo?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.59 rounded to 1 dp?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/4)\/((-10)\/80). Let a be (d\/25)\/((-6)\/(-165)). What is the derivative of 7 + 0 - 12*b - a wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, m: 15}. What is prob of picking 3 m?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 2 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -5 (c) -1\/3 (d) -4 (e) -136555\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -9a2ef?\nAnswer: -9a2ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 + 9 - 6 - 4. Let n be i(1). What is the units digit of 57*1 - n\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7934 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7422076768 to the nearest integer?\nAnswer: 86151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*a + 96, -4651*x + 4*a - 66 = -4653*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35061872.\nAnswer: 2, 181, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1 - -3 - 1 - 5) + -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**4 - 1565*g**2 + 8727 with respect to g.\nAnswer: -12*g**3 - 3130*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -5*1\/1. Put -1, 1, -4, z in decreasing order.\nAnswer: z, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let l = -0.034 - -0.134. What is the closest to w in l, 5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51428?\nAnswer: 2, 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58291 divided by -821\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071740152 rounded to six decimal places?\nAnswer: 0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60281423?\nAnswer: 60281423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-9))**19)**(-18))**(-4\/3) assuming s is positive.\nAnswer: s**(-4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-14)*(-5 + (-174)\/(-30)). Solve -1 - 20 = 3*r - k*v, -3*v + 14 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a. Let l be (-8)\/(-4)*2\/1. Solve 5*h - 3*x + 34 = 0, a = -l*h - x - 0*x - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 584770800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ea (base 15) to base 9.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 22\/15, 1\/6, 1\/5?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 7*n - 2. Let o be c(5). Suppose -5*m + o*m = 0. Which is bigger: 4\/13 or m?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 + 700*q - 24500 = 0. Calculate q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1733599621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**1*o)\/o))\/o)**(-23)*(o**(-2))**(2\/15) assuming o is positive.\nAnswer: o**(341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45461 and 4.7.\nAnswer: 213666.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017480.\nAnswer: 2, 5, 31, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 6 - (-77 - (3 - 61)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -301832851*j**3 + 297031747?\nAnswer: -905498553*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52405, -50847, -49283, -47713, -46137, -44555?\nAnswer: -42967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6213 = -33*r + 50697. What is the remainder when r is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131948, -132117, -132414, -132845, -133416?\nAnswer: -134133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11991382 and -0.3?\nAnswer: -0.035974146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/32 in -0.5, 0.617, 1, -9, 8\/5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8455649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -a239856 (base 11) in base 12?\nAnswer: -608752b","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Sort 2, -1524, 8, 0.187 in ascending order.\nAnswer: -1524, 0.187, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220885391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -48 + 58 - (-67 + -1). Calculate the greatest common factor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = -4*l, -1 = l - h - 0*h. Let c = 2133\/110 + -183\/10. Is l < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*z + 3*z, -4*k = 5*z + 24. Let i be 0*(-1)\/(-1) - k. Find the first derivative of y - i + y + y wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (-1 - -4) - -5. Suppose 0 = -m*q + 19*q - 98. Solve 3*u + 4*u + q = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**3 + 0*x**4 + 0 + 0*x - 1\/60*x**5 - 131*x**2. Let f(a) = -73*a. What is f(l(k))?\nAnswer: 73*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - -3 - (-1 - -4). Find the third derivative of d*j**6 - j**2 - 2 + 2 + 0 wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2303320302 (base 4) to base 16\nAnswer: b3e32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22912518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. What is the tens digit of -3 + 2 - (p - 40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-132)*(-160)\/(-140)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10478, -22087, -35774, -52577, -73534, -99683, -132062, -171709?\nAnswer: -219662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.184936 - 10.3?\nAnswer: 7.884936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79102078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3\/13 - 258*b**2\/13 - 272*b\/13 + 120 = 0.\nAnswer: -3, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.029 + -0.929. Put -3, 0.5, a in increasing order.\nAnswer: -3, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**3 - 3*t + t**3 + t - 2*t**3 to the form g*t + d*t**3 + b*t**2 + r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 10:58 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3494174.\nAnswer: 2, 1747087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 + 0.5. Let d = -1 - i. Let g = 0.04 - 0.54. What is the closest to d in 1\/6, g, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 1820*w + 165620.\nAnswer: 5*(w + 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44\/3 - 299\/21. Let n = -0.03 - 6.97. Let l = 9 + n. Which is the closest to l? (a) -0.9 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2002 - -9948\/5. Let v = 69\/5 + d. Let x = 1249\/2970 + 94\/55. What is the common denominator of x and v?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (72 - 70 - (1 - -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 1, 49, 131, 253, 421, 641?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -308642.819?\nAnswer: -308651.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 + 4. Let a = 0.3872 + -3.3872. What is the biggest value in a, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4480)\/(-175) - 26)\/((-2)\/25). Solve 4*a - 2 = 2*p, -4*a = 3*p + i - 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 806*s - 17398. Calculate z(245).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41221 - -2531?\nAnswer: -34250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4056 + -47. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -9, -22, -51, -102, -181, -294, -447?\n\"Answer: -z**3 + z**2 + z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14066, 4, -1, 1, -5, -4, -12 in increasing order.\nAnswer: -14066, -12, -5, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15000 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/7 (b) 0 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by -83.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 0 (b) -3\/49 (c) 3 (d) 1\/6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose -l - 2 = -8. Solve j*r + 2*f - 4 = l, -20 = 3*r - 4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -5 (c) -6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 - 12 = 0. Let l(c) = -c - 1. Let w be l(a). Suppose v - 70 = -w*v. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.173, 10, 2, -12308 in descending order.\nAnswer: 10, 2, 0.173, -12308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -137, -418, -957, -1838, -3145, -4962, -7373?\n\"Answer: -14*g**3 - 3*g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3332, 2622, 1416, -292, -2508?\nAnswer: -5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 4*h. Let x be y(3). Suppose -i + 5 = 3*p, 1 = 2*p - 0*p + x*i. What is the second derivative of 5*f - f - 3*f - 2*f**p wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3349*q - 3321*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {l: 6, z: 3, a: 6, g: 4}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.5.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 391, 399, 417, 451, 507?\n\"Answer: a**3 - a**2 + 4*a + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 5*y - 12. What is the lowest common multiple of o(6) and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343308 by 49044.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*-8 + (-292411)\/(-7). Let c = x + -24601. Suppose -4*v - 4*d = -c, -5*d = -0 - 15. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptwd when four letters picked without replacement from {p: 1, h: 1, w: 2, t: 2, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzjjvvvvvfvfvz. What is prob of picking 1 f, 2 j, and 1 z?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 9*a + 22. Let u(l) = l**3 + 8*l**2 - 20*l + 3. Let n be u(-10). Let b be d(n). Solve 0 = -2*x - 2 + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -1 (c) -5 (d) -1\/3 (e) 7 (f) -3.469\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -2 - 1) + (-14 - (-19 - -4))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 321, 865, -24 in ascending order.\nAnswer: -24, -3, 5, 321, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5075837 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586.2 - -586. Which is the nearest to 0? (a) -3 (b) 5 (c) v (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*l**3*u**4 + 92*l**3 + 7*l - 3*u**4 wrt u.\nAnswer: -436*l**3*u**3 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y. Let k be o(5). Let c be (-12*1)\/(6\/k). Let n = 3 - -12. Solve -5*q = c - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 46505.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 12. Let d = u + 169. Solve d = -4*v + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.6557 - -75.8. Let v = u - 0.0443. Let o = 2 + -6. Which is the third biggest value? (a) 0 (b) -0.3 (c) v (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -40184 (b) -5\/6 (c) 5 (d) 2\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9767*z**3 + 20*z**2 + 20*z - 5. Let v(w) = 12272236*w**3 - 25128*w**2 - 25128*w + 6282. What is 10*v(u) + 12564*y(u)?\nAnswer: 9772*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - ((-6 - -9) + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -679 (base 12) to base 10.\nAnswer: -957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Let q(t) = t**2 - 7*t - 25. Let o be q(-3). Factor 4*p**s - 2*p**4 - 5*p**4 - 2*p**o + 5*p**4.\nAnswer: -2*p**3*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(65) + sqrt(65))\/(sqrt(80)*2) - (-4 + -5*sqrt(325)*1).\nAnswer: 4 + 189*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19965 and 4191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:15 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2. Let w(s) = -3*s - 23. Let v be w(-12). Let z(m) = -7*m - 11*m + v*m. Calculate q(z(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p - p + (5 - 2 - 1)*(2*p - 2*p + 4*p) - 4 + 4 - 3*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 68 = 4*p - 116, -2*p = -5*s - 39. Let n(w) = -6*w**2 - 5*w + 6. Let x(y) = -11*y**2 - 9*y + 11. What is s*n(z) + 3*x(z)?\nAnswer: -3*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 + 5. Let f be r(0). Suppose 90 = -2*j + 7*j. Suppose -7 = -2*p - 1, -j = -f*l - p. Solve -l*x + 9 = m, 0 = -2*m + 5*x - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {a: 2, v: 1, k: 2, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f + f, 2*v + 8 = 2*f. Calculate the remainder when v + 1 + 16\/2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 13*h - 2. Let q be p(0). What is the remainder when q\/(-1)*(-1185)\/(-30) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(0 + 0 + 1)*(-1983*t + 3136 - 3136 + (2 - 2 + 2*t)*(-1 + 4 - 1)).\nAnswer: 3958*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 22 - 0) + (0 - (-10 + -1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 9, 29, 53, 81, 113?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -c. Suppose -3*l - 8 = -t, l + 8 = -l - 2*t. Suppose 22*o = 23*o - 2. What is the second smallest value in l, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 70513\nAnswer: -70511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.23, -0.12, -1, -13, 1\/2, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2401705 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 24\/(-9). Suppose 4*z + 24157 = -l*m - 50811, -2*m + 4*z = 74944. Let p = 67478 + m. What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40096, -40200, -40302, -40402, -40500?\nAnswer: -40596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12031132 - 7?\nAnswer: -12031139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597433?\nAnswer: 597433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brbb when four letters picked without replacement from rlrlbbbllrl?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or 141?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggasszasga. Give prob of picking 1 g, 1 a, and 1 s.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 6, h: 4, e: 1, r: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 + 93.76. Let s = 125.7 - h. Round s to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/20160 - c**7\/5040 + c**5\/30 + c**2. Let z(b) be the third derivative of h(b). Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(16) - -3*sqrt(144))\/sqrt(8) + -4)**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 30, 3*o + 364*w - 368*w = -45. Let d(i) = -13*i - 296. Give d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 360 + -1460. What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1)\/n*n)**(-1\/34))**19 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21068\/36 + 6\/(-27). Suppose -11*z = -16*z + i. Calculate the highest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 - 249*f**4 - 910*f**3 + 38496*f**2 + 78624*f = 0.\nAnswer: -13, -2, 0, 12, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 107960195*y + y**2 - 110 + 107960195*y.\nAnswer: y**2 - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -7. What is the units digit of 64\/6*9\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.52663 - 1.12663. Let s = -0.7 + 0.2. Which is the third biggest value? (a) u (b) s (c) 2\/19 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0304 and -0.0548.\nAnswer: -0.0852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17479\/(-6) + 6\/36. Round i to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7bec (base 15) to base 6.\nAnswer: -321510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/12 + 71*d**2\/12 + 99*d\/4 + 75\/4.\nAnswer: -(d - 75)*(d + 1)*(d + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5080, -5070, -5062, -5056?\nAnswer: -5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2\/9 + 1084*q\/9 + 728\/3 = 0. Calculate q.\nAnswer: -2, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -1932, -4280, -7558, -11760, -16880, -22912?\nAnswer: -29850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*k + 19, 0 = 5*k - 37*q + 32*q - 60. Let s = 4.933 - -0.067. Which is the biggest value? (a) s (b) -0.4 (c) -2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36208 is divided by 3672.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 184. What is the greatest common divisor of 44 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.3, 0, 3\/4 in increasing order.\nAnswer: -1, 0, 3\/4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5127 is divided by 857?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*h*t**2 + h*t + 56211*h - 35964087*t**2 wrt h.\nAnswer: -98*t**2 + t + 56211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:38 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 37*z - 29603 = -5*t, -t + 5927 = 3*z. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpwkiec. Give prob of picking 2 c and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d0e8 + -2?\nAnswer: -5d0ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130994519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 12*a + 2. Give g(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {k: 2, a: 2, u: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.008? (a) 2\/11 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7.17484*-4\nAnswer: 28.69936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u**2 + 21*u + 115. Determine t(8).\nAnswer: 1563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/180726 and 4\/271089?\nAnswer: 542178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, o: 7}. What is prob of picking 3 o and 1 h?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b - 2. Let g(p) = -34*p + 7. Calculate -2*g(n) - 7*o(n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61.12 and -71?\nAnswer: -4339.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5 + 118*d - 58*d - 4 - 61*d. Let x(l) = 1. Let k(y) = y + 9. Let n be k(-10). Determine n*x(r) + 3*g(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**2*m**3 + 7*a**2 - a*m**2 - 338*m**4 + 13211*m**3 - 31*m**2 + 516834*m - 1 wrt m.\nAnswer: -60*a**2 - 8112*m + 79266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2, 2, 4, 17, -25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frsflfwsfwrfffffiisf. Give prob of sequence sr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -416*h - 69881. Determine u(-168).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17224 + 10135. Is (-13)\/208 + f\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m + 3. Let g(w) = -4*w + 2. Let l(k) = 5*g(k) - 3*r(k). Let o = -689 + 696. Suppose -90 = -o*i - 111. Give l(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20225224 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + (1 - 1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -229 (b) -1\/6 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q - 107*q + 222*q**2 + 221*q**2 + 52*q - 442*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847272 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 8 + -5 + -49?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(6655))\/sqrt(5) + 2.\nAnswer: -11*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 42*i + 0 - 41*i + 1. Let q(n) = 3*n - 6. Let g be q(5). Suppose l - g = 4*l. Give p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -105 - -3 - (0 - -2). Let x = c + 1770\/17. What is the biggest value in -5\/4, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.666 and 1.\nAnswer: 7.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3083 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*b - 2)*(1 - 15 + 8)*(0 - 5 + 3).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2 + u**2 - 3*u + 0 - 4 - 4*u. What is m(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.1, 0, -3.362?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81299973, 162599946, 243899919?\n\"Answer: 81299973*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**3 - 2000*y**2 + 205*y + 1889. Give a(111).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*o - 6*o - 14, 5*p = -o. Let l(t) = -4*t - 4. Let q(z) = -4*z - 5. Let c(i) = o*q(i) + 6*l(i). Let k = 72 + -70. What is c(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r. Let w = 556 - 553. Let x(g) = -2*g - 3. Let s(t) = 12*t + 20. Let l(v) = w*s(v) + 20*x(v). Determine c(l(i)).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:44 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 192\/14 + 6\/21. Suppose -4*q = p - 66. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12095 + -6886. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1134 and 45880?\nAnswer: 26013960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, 1 x, and 1 w when four letters picked without replacement from {e: 1, x: 4, f: 2, w: 2, m: 4, g: 2}.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 - 109.53. Let g = j + 109.00000067. Round g to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 371495*o - 371624. What is g(1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbbb when four letters picked without replacement from bbbq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyrlylyly. Give prob of picking 2 r and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 10) to base 13\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/88*(-22880)\/312.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*p + t - 42, 5*p + 5*t - 135 = 0. Let g = 31 - p. Is ((-452)\/g)\/(2\/(-3)) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669524 a multiple of 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -968 + 3869\/4. Let h(k) = -k**3 + 5*k**2 + 7*k - 2. Let n be h(6). What is the closest to 0 in 0, n, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13743221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 345669346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170808 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138012897 to the power of 1\/2, to the nearest integer?\nAnswer: 11748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333330 (base 4) to base 11.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6249300 divided by 1249860?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -322.9466. Let k = 1.9466 + d. What is the nearest to 2\/7 in 5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Let v(n) be the third derivative of 3*n**5\/10 - n**4\/8 + 7*n**3\/6 - 1579*n**2. Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958 a factor of 91491466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26691 is divided by 8226?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (711 + 472 + a - 1870)*(3 - 4 + 2)*(-3 + 4 + 0) to the form g*a + q and give q.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2714503719\/702280 + 201\/87785. Let t = 3863 - s. What is the common denominator of t and -38\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l - 5 = 0, 22*t - 20*t - 4*l = 8. Let q(i) = 1. Let a(v) = -8*v**2 - 2. Calculate t*q(b) + a(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2828 + 2819. Let m(z) = -z**3 - 10*z**2 - 12*z - 33. Calculate m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/4 - -11)\/(14\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*y - 161 = 163, y = 2*z - 162. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 - 529167*s**2\/2 - 529161*s.\nAnswer: -3*s*(s + 2)*(s + 176387)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)*q*q\/(q*(q*q**(3\/2))\/q))\/((q**2*q)\/(q\/((q\/q**3)\/q))))\/((q**0\/q)\/q*q\/((q*q\/(q*q**(-1\/4))*q)\/q)*q**(4\/5)*q**(-2\/3)*q) assuming q is positive.\nAnswer: q**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 11*i**2 - 20*i - 13. Let o be b(9). Let z = o - -47. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -4536. What is the least common multiple of t and 2?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043*x**3 - 1037*x**3 + 2081*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -8. Find the first derivative of -g**4 + 3*g - 2 + 3*g - w*g wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 4*x**3\/5 - 6*x**2\/5.\nAnswer: 2*x**2*(x - 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(1107\/(-328))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5001659.\nAnswer: 13, 29, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605 by 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1922 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*(-1092)\/(-637).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 7. Let c(q) = -5*q + 27. Let d(r) = 2*c(r) - 9*u(r). Differentiate d(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -4)\/(-3) + 2. Suppose -3*f - 3 = -2*z, b*f - 5*f = -2. Suppose 5*k = -3*t + 8, 7*t - 3*k - 30 = z*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46879, -46889, -46913, -46957, -47027, -47129, -47269, -47453?\n\"Answer: -z**3 - z**2 - 46877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h + 25*h + 6 - 7*h - 2*h**2 - 8*h. Let f(s) = s + 1. What is 2*f(n) - g(n)?\nAnswer: 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i + 0*i - i)*(3*i - 4*i - 6*i) - 2*i**2 + 2*i - 2*i)*(4*i - 3*i + i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {z: 1, b: 4, h: 10, i: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2079)\/462*(-4)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1065162 and 89\/5275088?\nAnswer: 110776848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 3, 0.02, -0.2, 5\/6 in descending order.\nAnswer: 73, 3, 5\/6, 0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 9*s + 90. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2736) - sqrt(2736)*-2)*2 - ((sqrt(2736) - -6*sqrt(2736)*-1) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 5))**2.\nAnswer: -1920*sqrt(19) + 175204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*u - 22, 3*c = 3*u + 2 + 4. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6187494 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 29*j**2\/2 - 16*j - 9. Let m(u) = 10*u - 5. Let g(q) = 11*m(q) - 4*v(q). Find the first derivative of g(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204652 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - 2*m**2 - 5*m + m)*(-9 - 20 + 5) + 1 - 1 - 2*m**2 as j*m + p + k*m**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 814 = -b, -2*i - 5*b + 1649 = 0. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 2*u**2 - 7*u**4 - 11 - 2*u**3 + 9 - 5*u + 3*u**4 to r*u**4 + h*u**3 + q*u**2 + v*u + i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58\/43? (a) -0.5 (b) 1\/3 (c) 2\/1777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 40*a**2 - 128*a**2 + 48*a**2 + 39*a**2. Let q(r) = -5*r**2. Give q(j(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 5, m: 1, f: 4, i: 1}. Give prob of picking 1 f, 2 u, and 1 a.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 - -665 - (-13 - (-4 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w. Let t = -465 + 5593\/12. Let c = -5\/6 + t. Is c at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 5. Let p be k(-6). Let a = p + -25. Suppose x + 5*x - 510 = a. What is the remainder when x is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 384*b - 5 - b**2 + 386*b - 747*b + (-b + 0*b + 6*b)*(-b + 5*b + b).\nAnswer: 24*b**2 + 23*b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 178*v + 4. Let x(l) = 188*l + 5. Give 6*d(j) - 5*x(j).\nAnswer: 128*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110010111001 (base 2) in base 14?\nAnswer: b8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/(-6) - 6\/36. Suppose v + n = 4*v. What is the remainder when v is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-77574)\/(-462) + (-2)\/(-22) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1847 = 4*j + f, 5*j - 2279 = -82*f + 85*f. What is the lowest common multiple of 207 and j?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3957 = -3*k + 3543. Round k to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 5, z: 5}. What is prob of picking 1 z and 1 b?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-8)*-8)\/(-6). Which is the second biggest value? (a) 0.3 (b) 27 (c) -0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 66*t**2 + 143*t + 988. What is the units digit of x(67)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 29. Suppose -156 = -d + 3*s, -l*s + 123 + 9 = d. Suppose 4*m - d = 116. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15256*p - 15332*p + 3.\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(-3*v - 2*v + 3*v) + 2*v + v - 6*v)*(58*v - 80*v - 390*v).\nAnswer: 2060*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6293287t in grams?\nAnswer: 629328.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 (base 9) in base 12?\nAnswer: 108a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751739131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26111462*x**2 + 2712*x + 548?\nAnswer: -52222924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35414341 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4041 (base 13) in base 16?\nAnswer: -2289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -411, -924, -1643?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 5254261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 2640772*w + 211287360.\nAnswer: -4*(w - 660273)*(w + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*h**3*l**2 - 184*h**3*l - 2*h*l wrt l.\nAnswer: -338*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, -1 in descending order.\nAnswer: -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 27*d**2 - 13*d - 946. What is the remainder when 195 is divided by s(-26)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159798112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvasvs. What is prob of sequence av?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 3 + -1*(-6*sqrt(11) + sqrt(11)) - -5*((sqrt(11) - sqrt(297)\/sqrt(3)) + sqrt(22)\/sqrt(2) + 0).\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 338 + 2102 = 0. List the prime factors of u.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 22 = -3*p + 7*r - 26*r, -4*r = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25676\/(-2142) - -12)\/(6\/9)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 8*m**2 - 4 - 2*m**3 + 32*m**2 - 2*m**4 + 4 - m**2 to the form r*m**4 + n*m**3 + i*m + f + y*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let w = -3 - -5. Suppose c - 3*k - 7 = w*c, -k + 2 = -4*c. Let o(p) = -4 + 55*p + 52*p + 49*p - 150*p. Calculate c*o(n) - 3*u(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51150\/7 - 542154\/77. Let h = -266 + o. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from uaawubhwwwuhwawuvw.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727864241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/33 + (-463956)\/487531.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1222650 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/3137 - 10104\/1916707. Let k = m - 65337\/6110. What is the common denominator of k and 25\/37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -313, -2618, -0.4?\nAnswer: -2618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0354 - 4306192.\nAnswer: -4306192.0354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 616*y**3 - 55. Suppose 10*d - 4453 = -50*d - 1153. Let x(q) = -44*q**3 + 4. Give d*x(o) + 4*u(o).\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/241 or 1?\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*x - 93*x**4 - 5037 + 5037 wrt x?\nAnswer: -1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1920 and -41\/12?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*x + 13 = 0, 4*o - 2 + 0 = 2*x. Suppose 3*a - 45 = -o*r, -1 - 24 = -2*r + a. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 70421?\nAnswer: 352105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -11. Suppose 0 = 2*u + 3*h - 4, 0 = -4*u - 2*h + t. Determine a, given that -a**u + 5*a**3 - 5*a + 101 - 91 - 9*a**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 + 217. Suppose l = 3*n - 6, u + 8 = -0*u + 5*n. Solve 0 = -4*p - u - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 11, 1\/3, -1, 3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5064606 and 1224.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from wlllwlllwllwllwlwl?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 9 = 0. Suppose -m*w + 120 = -6*w. What is the lowest common multiple of 22 and 12*(w\/(-12))\/5?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411750274?\nAnswer: 2, 13, 15836549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*h - 8, 23 = 2*x + h - 6*h. Let j(q) be the third derivative of -2*q**2 + 0*q**x + 0 - 1\/120*q**5 + 0*q**3 + 0*q. Factor j(l).\nAnswer: -l**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 + 12008*l\/7 + 2288.\nAnswer: -(l - 4004)*(3*l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 - 9*c**2 + 5*c**2 + 26*c**2 as f*c + h*c**2 + j and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 6) to base 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*s - 5*s - 11, 3*n + 2*s = -12. Let q = 4 - n. Let d(x) = x**3 - 4*x - 1. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 619*z**4 - 3*z**3 + 1806*z + 19361463 wrt z?\nAnswer: 2476*z**3 - 9*z**2 + 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -7. Let u = v - 14. Suppose 0 = l + 2, 0 = -6*p + 4*p + l + u. Solve 7 = p*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 2, -1381013 in ascending order.\nAnswer: -1381013, -59, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2102121212 (base 3) to base 9\nAnswer: 72555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(-1\/33))*y)\/y**(-4\/15) assuming y is positive.\nAnswer: y**(379\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 + 9. Let f be b(-8). Let t be 4\/6*(-6)\/4. Let m be t + -1 + 4 + 7. What is the greatest common divisor of f and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210432084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7407.626 nanometers to centimeters.\nAnswer: 0.0007407626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 + 497 + -8 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1366.\nAnswer: 136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20761 is divided by 20759.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -21006 (b) 3 (c) 2\/7 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + -1 + 1 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 - k**2 + 4*k + 17. Let j be c(-3). Suppose 5*m + 3 = 23. Suppose 7*w - 39 = m*w. What is the greatest common divisor of w and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*x + 29*x + 280 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812701 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/2 - 435*f**2\/2 + 207887*f = 0.\nAnswer: -898, 0, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22024980 is divided by 271?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26994 = -3*w + 21*k + 27027, 76 = 4*w + 4*k for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59494862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 44690*n - 312861. Calculate g(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68) + (sqrt(68) - (sqrt(68) + 3*sqrt(68)*-3)) + sqrt(68) + (sqrt(68)*4 - sqrt(68) - sqrt(68))*-4)*-5)**2.\nAnswer: -30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10210 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -5. Let n = 0.2 - -0.3. Let w = 230 - 227. Which is the closest to n? (a) f (b) 1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 60 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 37934783754.\nAnswer: -37934783751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4015*u - 1080 = -3943*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4757.\nAnswer: 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 7:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 7. Let z(j) be the first derivative of j - 919. Give -a(y) + 6*z(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/5 - (-8 + 5 + 2). What is the nearest to 6 in 3, j, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -1, 431?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((((g\/((g\/g**(-5\/4))\/g*g))\/g)\/g)\/g))\/(g*g**(-7)))\/(g**(-1\/38)\/g**2))**(-3) assuming g is positive.\nAnswer: g**(-3027\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 - 4*m**2 - 1438 - 3435*m + 3434*m + m**2.\nAnswer: -3*m**2 - m - 1716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*o + 14 = w, 0 = -3*w + 3*o - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n**4\/7 + 86*n**3\/7 + 36*n**2\/7 = 0 for n.\nAnswer: -2\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1da7d (base 16) to base 13\nAnswer: -4339a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 4*c - 11671*c**2 + 12108*c**2.\nAnswer: 437*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 5*k**2 + 47*k + 163. Determine h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3b676 (base 14) to base 6\nAnswer: 3051120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + 2022021?\nAnswer: 2021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*k - k = 16, -4*y + 4*k + 40 = 0. Suppose y*a + 12 = -28. Is (-1172)\/10*a\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/6080)\/(120\/190)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21417.46514992 and -0.4.\nAnswer: -21417.86514992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1087.\nAnswer: -543.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3668 divided by -524\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3818502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2086975 + -4214975. What is c rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8072693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 140145?\nAnswer: 140203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 19*r - 696. Let k = -54 - r. Solve k*j = 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266163 is divided by 813.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198744 divided by -6.\nAnswer: -33124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -163, -269, -381?\n\"Answer: -3*l**2 - 91*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1581664 divided by -32?\nAnswer: 49427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057240441 rounded to 5 decimal places?\nAnswer: -0.00572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = 20. Solve 5*n - n = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u = 64*u - 18*t + 54, 3*u - t = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*sqrt(11))**2 + sqrt(11) + sqrt(1331) + -1.\nAnswer: 4*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 5*i**2 + i**2 - 1)*(20 - 1 + 63) in the form r*i**2 + f + b*i and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 2*r - 18*r**2 - 2*r**3 + 16*r**2 - 4*r**3 + 8*r**3 as a*r + c*r**4 + w*r**3 + p + q*r**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/5, 0.34, 26, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -4. Let x = -22 - u. What is the closest to -1 in 4, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**3 - 518*x**2 + 38*x + 4090. What is c(-47)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = -69*j + 910712. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 90. Let u be q(-3). Which is bigger: u or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 8*b + 10. Let p be t(7). Solve p*r + 25 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*i - 846 = 708 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 65, 0, -1380 in descending order.\nAnswer: 65, 2, 0, -2, -1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1903000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.2 + 57.4. What is the smallest value in 35, 2\/3, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d. Let l(h) be the third derivative of 1\/24*h**4 + 0 + 0*h + 0*h**3 - h**2. Give l(x(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + y**3\/3 + 133*y - 5. Let p(u) = u**3 + 2*u**2 - 2*u + 3. Let s be p(-3). Is v(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 + 2. Suppose -20 = u + 3*u. Let o be m(u). Suppose 0 = o*l + 2 + 8. Let y(j) = -j**2 - 4*j + 7. What is y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 670, 875, 1078, 1279?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.34847 months in millennia?\nAnswer: 0.0013623725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23720 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0.5, 50, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 + 55176*x + 165510 = 0.\nAnswer: -27585, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 14966907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 644*a**5 + 3*a**3 + 53*a**2 + 4. Let m(d) = 644*d**5 + 2*d**3 + 55*d**2 + 2. Let l(h) = 3*m(h) - 2*r(h). What is the third derivative of l(v) wrt v?\nAnswer: 38640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/4 + 7*c - 9. Let a(j) = -2*j + 7. Calculate a(m(z)).\nAnswer: 6*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 9*j**2 + 10*j. Let m be p(-10). Let n(v) = v**3 - v + 7. Let f be n(m). Let d = 1.35 + -1.25. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-2)*(-1 - -3). Let l be (-30)\/m*36\/10. Suppose 5 = o, -2*s = -5*o + 21 + l. Which is smaller: s or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6634 - -6760. Calculate the lowest common multiple of 60 and w.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5628*t**2 - 2124*t**2 + 607*t**2 + 5432*t**2 to n*t + j + i*t**2 and give i.\nAnswer: 9543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 110 = 3*o, -3*c + 5*o = -c - 63. Suppose -13 = 2*w - c. Calculate the greatest common divisor of w and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -16 + 3 + 0 - u + 14*u. Let v(f) = -7*f + 7. Give -6*s(r) - 11*v(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -10*h**4\/9 + 74*h**3\/9 - 56*h**2\/3 + 136*h\/9 - 32\/9 = 0.\nAnswer: 2\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-1)\/(-4*sqrt(144)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17855.22ml to litres.\nAnswer: 17.85522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 28. Suppose -f = -8*f + 21. Suppose -5*v + 130 = 3*d, d - 8 = -f*v + 38. What is the remainder when d is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1078 - -1078.05. Which is the closest to -1? (a) 2 (b) 0.4 (c) n (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 5*z + 5 + 5*z**2 + 1 + 0*z**3. Let p be (-2)\/6*4*3. Let h be v(p). Solve 5*r = -4*t - 2, -3*r - 2*r = h*t + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q**2 + 12*q**2 + 120*q + 6*q**2 to the form r*q + w*q**2 + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4 - 3. Let s = m - -3. Solve -3*v = 3*z - 0*v, 4*v = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031839 - 0.1653058827.\nAnswer: -0.1334668827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 35262444.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5211, 3, 2, 14, -1 in decreasing order.\nAnswer: 5211, 14, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1600416048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**0*y*y)\/y*y)**(-3)\/(y**(-1))**30)**50)**29 assuming y is positive.\nAnswer: y**34800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*y - 258, -y + 3*t + 2*t = -86. Calculate the highest common factor of y and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 46. Suppose 0*d + 72 = -2*d - c, p*c + 80 = -2*d. Let q = -31 - d. Solve -q*w + 6*w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -583, -899, -1235, -1597?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errrrreeerer. What is prob of sequence re?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/78363 and 38\/78363.\nAnswer: 78363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-232)\/(-40))\/(18\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -0.4, 23.\nAnswer: -5, -0.4, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}