{"text":"Question: Round -795.7989751 to 2 decimal places.\nAnswer: -795.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 822320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, 22, -3, 4, 0 in descending order.\nAnswer: 23, 22, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 772 + -1135. What is the tens digit of (943\/69)\/(-2 - i\/180)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l + 4. Let t(f) = f**3 - 3*f**2 - 4*f + 6. Let q be t(4). Let b be n(q). Suppose -b = -8*i + 6*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 18}. What is prob of picking 1 h and 1 e?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, v: 3, y: 9, x: 2, c: 4}. Give prob of picking 1 y and 1 c.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -194176 divided by 4\nAnswer: -48544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 0 - (-281 - 6 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 3*c - 3*c)*(-1 - 2 + 2)*(-2*c - 4*c + 0*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = b - 34, 0 = -3*b + 5*g - 2*g + 93. Suppose 4*k + b = 5*i, -3*i + 6*k - k = -5. Calculate the least common multiple of i and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, -0.1, 0.3, 13, -656, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**2 - 381*w**4 + 2*w**3 - 1 + 382*w**4 + 2 to s*w**4 + q*w**3 + p + k*w**2 + y*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w + 10 = 0. Let z(q) = -2*q**2 - 16*q - 2. Let l be z(-8). Let k(o) = -4*o - 3. Let y(r) = -9*r - 6. Determine l*y(b) + w*k(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l. Let b(a) = 5*a - 383409. Determine b(j(y)).\nAnswer: -10*y - 383409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/552 and -29\/10.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3576 = -5*f + 2729. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 402 and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(315) - sqrt(315)*-1)*-6)\/(sqrt(40)\/(sqrt(24)\/sqrt(3)*-1)).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 4219 = -7*h + 109*h - 2186 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5*j + 3. Suppose -2*w - w + 60 = 0. Suppose 4*x - a = 17, 3*a - 1 = 4*x - w. Let p(f) = 6 - 2 - 6*f + 0. Calculate x*s(b) - 3*p(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 218299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + b + 147 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005879833934 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1 - 0) + -3 - -2) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 193223 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 70240.\nAnswer: 70240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 4*h + 18, -4*h - 5*h + b + 2172 = 2237 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4504 and 159656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 629 and 222?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45298565*v**3 - 648035*v**2 + 20.\nAnswer: -271791390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 529*i**3\/7 + 138*i**2\/7 + 12*i\/7 - 25. Factor r(l).\nAnswer: 3*(23*l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1007 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 27. Suppose -l - 3*l = -p. What is the biggest value in l, 3, 1, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 110*r - 2537. Let p be l(77). Solve p*j - 24 = 4*o, -5*o + 2*j = 5*j - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 42 = 6. Find the common denominator of r\/(-3) + 9\/12 and 2\/12*402\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 5:42 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2626127*z**3 + 5995*z - 151 wrt z.\nAnswer: 15756762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27726 greater than or equal to 27726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2322 divided by 123.\nAnswer: 774\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xlzllxllxzlxxxlzlxxz. What is prob of picking 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 195918265*f**2 + 199411126*f wrt f?\nAnswer: 391836530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - n = 15. Suppose -3*s + 3 = a, 0 = -a - 3*a + n*s + 12. Let m = a - -2. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 15 - 63699?\nAnswer: -63684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d. Let y(g) = 1. Let f(w) be the third derivative of -w**5\/60 - 3*w**4\/8 - w**3\/2 + 4*w**2. Let n be f(-9). What is n*y(k) - 2*r(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15536669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -3*d - 5 - 0, d + 18 = -3*i. Let c = -6892 - -6897. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9703 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41115387 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**4\/32 - 3*o**3\/2 - 75*o**2\/16 + 283*o. Find u such that j(u) = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1584))**2 - (sqrt(396) + (-3 + sqrt(396))**2).\nAnswer: 6*sqrt(11) + 1180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8449.884 micrograms in grams?\nAnswer: 0.008449884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mbwwwwzzzmrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 q when three letters picked without replacement from {m: 1, q: 1, k: 4, j: 7, b: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1681\/(-17) + 2\/(-17) - 1. Let q = -84 - f. What is the lowest common multiple of (-140)\/(-8) - (-2)\/4 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**7\/420 + u**6\/240 - u**2. Solve o(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-3\/5))\/z*z*z**2*z)\/(z*z**5*z\/(z*z**(1\/3)\/z)*z))\/(((z**(-5)\/z)\/z**3)\/((z**5\/z)\/(z*z*z**6\/z*z))) assuming z is positive.\nAnswer: z**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*f**5 + 5*f**4 - 40*f**3 - 40*f**2 + 80*f + 80 = 0. What is f?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -39923.87 from -5.\nAnswer: 39918.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 at least as big as 1266.9448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -143*p**2 + 216 + 8*p**3 - 9*p**3 - 889 + 2*p**3 wrt p.\nAnswer: 3*p**2 - 286*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 6)*(-2 + 2 - 4)*(2*i**4 + 6*i**4 + 3*i**4).\nAnswer: -220*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -4*c + 18, -4*c - 15 + 27 + 26 = 3*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 594125550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47104426.\nAnswer: 2, 2251, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve q - 5 = 5*k, 5*k + 8*q + 15 = 7*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/71, 3, -4, 15, -5, -1, -447\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -111111101?\nAnswer: 111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*c - 3333 = 21*c. Let z = -229 + c. What is the remainder when 368 is divided by z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 21.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-15)\/(-10) + -3 - (-63225)\/30 and 18.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 738*o**2 - 733*o**2 - 733*o**2 + 2204*o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17923 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*c**3 - 1 + (3*c**2 + c**2 - 3*c**2)*(-8*c + 59 - 59) + 0 + 2*c**3 + 0 + 2 - 2 - c**3 + 3*c**2 - 3*c**2 + c**3 + (4 - 4 - 2*c)*(-c**2 - 1 + 1).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + 2. Let n(l) = 38*l**2 - 5*l + 3*l + 3*l - 1 - 39*l**2 - 2*l. Let r(y) = 2*y**3 + 7*y**2 + 6*y + 5. Give p*n(t) + r(t).\nAnswer: 2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -1 - -11) + (12 + 4 - 17)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.46968373 - -0.592\nAnswer: -5.87768373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m - m + m)*(-1 - m + 5 - 3) - 28*m**2 + 50*m**2 + 99*m**2 in the form a + t*m + w*m**2 and give w.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*n = 35*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6 - (-150)\/24)\/(15\/(-129)) and -71\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o + 2*w + 5, 33*w - 32*w - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 812. Let z(a) = 5*a + 17. Give z(v(t)).\nAnswer: 5*t + 4077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21294 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -13*s - 108 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -21*u**2 + 332*u + 10. Let i(f) = 4*f**2 - 66*f - 2. Determine 11*i(s) + 2*t(s).\nAnswer: 2*s**2 - 62*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -9636*u**2 + 47*u**4 + 4*u**3 + 2 + 9638*u**2 - 3*u**3 + 29*u**4 in the form y*u + z + c*u**3 + a*u**2 + q*u**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**2 - 9*u. Let d = -7 + 4. Let y(x) = -x**2 + 5*x. Suppose -3*l + f - 59 = 0, -l - 2*l - 2*f - 53 = 0. Let m = 14 + l. What is d*c(b) + m*y(b)?\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.16275 - 2.7325646.\nAnswer: -2.5698146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 - 22*h - 82. Determine f(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.5 + -1.4. What is the closest to f in 5, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 33157482 and 33157481 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 765349 divided by -1?\nAnswer: -765349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9992 - -9987. Suppose 10 - 45 = 5*w. Let f = -7 - w. Which is the third smallest value?  (a) m  (b) f  (c) -3  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + p + 7. What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -0*v - 10. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 908100320 to the nearest one hundred thousand.\nAnswer: 908100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7970 + -7967. Put -3\/2, 0, -2, 0.4, w in increasing order.\nAnswer: -2, -3\/2, 0, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*j - 12 + 16, -j + 22 = 5*s. Let d be (60 + -56)\/(4 - (0 + j)). Solve -d*w - 25 = -3*b, w - 4*w - 2*b - 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 8*j**3 + 2*j**2 - 1. Suppose 0 = -k + 4 - 3. Suppose 3*q - 4 = -k. List the prime factors of a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x - 3*x. Let k(b) = 0*b + x*b - 2*b - 2*b. Let a(g) = -3*g**2 + 2*g. Let n(j) = 16*j**2 - 11*j. Let r(w) = -11*a(w) - 2*n(w). What is r(k(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 748582900 rounded to the nearest one million?\nAnswer: 749000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 588*z + 662*z - 6147 = -18647 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1657789\/1293045 - 1\/33155. Find the common denominator of 57\/520 and d.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 10*h**3 - 6*h**2 + 21*h - 9. Let b(f) = 18*f**3 - 11*f**2 + 39*f - 17. Determine -6*b(v) + 11*s(v).\nAnswer: 2*v**3 - 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006875952 to seven decimal places.\nAnswer: 0.0000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7 - -1)*3\/6*-1. Let r(t) = 29*t**3 + 3*t**2 - 2*t + 2. Let w be r(p). What is the units digit of (-2 + 0 - w\/65)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -550*z = 3324 - 2881 - 3191 - 3852 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 - 11. Let d = -1 - -2. Let f be 153\/(d + 2) - 2. What is the greatest common factor of f and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 120945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10167 is divided by 1015?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2211?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 430516+49323\nAnswer: 479839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 836 and 812.\nAnswer: 169708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 9*r + 48. Let s be k(-6). Let j(n) be the second derivative of n**4\/12 + n**3 - 3*n**2 + n. Give j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 266, 1559, 5086, 11969, 23330?\n\"Answer: 187*y**3 - 5*y**2 - y + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -717*g + 712*g + 30, 0 = -3*s + g - 18 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 346\/7, -0.3, -1\/4, -41, -0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -459 - -461. Solve -3*z - 13 + 1 = -f*i, -2*z = 2*i - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.54, -4, 12, -3546?\nAnswer: -3546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -731.5 times 30?\nAnswer: -21945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) 2\/9  (b) 0.5  (c) -3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1268380636 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.5 + -80.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -30653 (base 9) in base 15?\nAnswer: -5ecc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 22, -0.4, 4 in ascending order.\nAnswer: -0.4, 0.2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 3 = -4*o + 3*x, 0 = 2*x - 8. What is the remainder when 15 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/18  (b) 92\/13  (c) 0.040619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-819053)\/5811 - (-42)\/(-819)\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/12*10*2. Solve o = -5*h + 5*z, 3*z + 15 = -3*h + 4*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 998\/279 + 20\/31. Let s = t - 32\/9. Find o such that 4\/3*o + s*o**3 + 2*o**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.065432 months in decades?\nAnswer: 0.1588786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3.94 times 2\nAnswer: 7.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4324*j = -4319*j - 4*h - 9, 8 = 4*j - 4*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**4 + 3*n**2 + 8*n. Let u(y) = -4*y**4 - 5*y**2 - 15*y. Let c(j) = 5*f(j) + 3*u(j). What is the second derivative of c(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 4\/8*4. Sort 4, r, 5 in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 16) in base 4?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33 - -57 - 25) + 1 + -25 + 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 - 1 + 18 + 17)*(m**3 - 3*m + 3*m).\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1018, 2037, 3058, 4081, 5106, 6133?\n\"Answer: a**2 + 1016*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -5*p + 2*y - 12, -p + y = 7. Is 8 a factor of (3 - (p + 1))*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 7*u**2 + 8*u + 7. Let m be s(-8). Suppose -m = -3*c - q - 3, -c + 2*q - 8 = 0. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + z - 4*n + 22 = 0, -47 = -3*z + n. Let p be 234\/z - 4\/(-14). Suppose 15*b - b - 28 = 0. Solve 4*y + 0*c + 16 = b*c, -4*c + p = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158408401?\nAnswer: 283, 559747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of -q**6\/40 - 9*q**5\/80 + q**3\/2 + 7*q. Let p(r) = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -85200*m**2 + 3*m + 15. Let p be i(-5). What is p rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*l - 1 = -21, -4*v + 32 = -4*l. What is the second derivative of 3*f - f - 8*f - f + v*f**2 wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -171, 12\/7, -7 in ascending order.\nAnswer: -171, -7, 12\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 + g**3 + g**3 + (3 - 3 + 2*g**2)*(4 - 2*g - 4) - 14*g**2 + 5*g**3 + 14*g**2 in the form f*g**2 + m*g**3 + i*g + v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**3 - 2. Calculate r(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 31680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 10 - 2*c**2 - 18 + 10 - 3*c - 10 + 14. Let q(y) = 2*y**2 + 3*y - 5. Determine -5*i(s) - 6*q(s).\nAnswer: -2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 12:03 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11446\/27 - 424. Which is the third smallest value?  (a) 0.2  (b) -121  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5*h. Let p(j) be the third derivative of 0*j + 0 + 1\/12*j**4 + 0*j**3 - 88*j**2. Determine q(p(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 430036 divided by -430036\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21259 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q*q**(-9)\/q)\/(q\/q**(10\/9)))**44\/((q*(q\/q**(-1\/2))\/q*q*q)\/q*q\/q**12)**13 assuming q is positive.\nAnswer: q**(-3467\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -177.6676*-0.3\nAnswer: 53.30028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2831 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20550 - 1580 = 1355*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(h*h\/(h*h**1*h)*h)))\/h)**(2\/33)\/(h\/(h*(h*h**(2\/7))\/h*h))**26 assuming h is positive.\nAnswer: h**(7708\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**3 - 16*t**2 + 5*t + 16. Let n(j) = 3*j**3 + 31*j**2 - 10*j - 32. Let h(x) = 5*a(x) + 3*n(x). What are the prime factors of h(12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 12*v**2 - 11*v + 15. Give s(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 + 37. Solve 25 = s + n*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventy-two fifths of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 1:16 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -182, -339, -496, -653, -810, -967?\n\"Answer: -157*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4) - (-3 + 175\/(-10)). Which is bigger: z or 19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 85\/(-10) + 88\/11. Which is the closest to z?  (a) -30\/17  (b) -1  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7 = -2, -3*y = -2*f - 7. Let c(x) be the second derivative of 7*x**4\/12 + x**3\/6 - x**2\/2 + 2*x. Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 3418*x + 30855. What is h(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1573) + -2 + sqrt(65)\/sqrt(5))**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 + 4*x**2. Let l be m(4). Suppose 5*w + 3*a - 77 = 0, w = -l*a - 2*a + 14. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19\/26 + -3\/13. Let q = 24\/5 + -23\/5. Let u be -2*1*(-2)\/(-4). Which is the second smallest value?  (a) u  (b) q  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of v**8\/336 - v**6\/24 - v**5\/12 + 3*v**3 - 28*v. Let q(f) be the second derivative of j(f). Determine g so that q(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 10*m**2 - 288*m + 159. What is b(0)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 8 - 4 - 3*k)*(5 - 5 + 4*k) as g*k + w + u*k**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -69726 divided by 13\nAnswer: -69726\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 393.824587 + -469.82446. Let h = z - -76. Round h to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 - 241 + 2*g + g**3 + 121 + 121 in the form c*g**3 + i + t*g**2 + f*g and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**5\/60 + s**4\/24 - s**3 - 3*s**2 - 7. Let k be u(2). Solve 5*y + k*l - l = -16, l = -y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -181\/44 + 48\/11. Let q = 2 - -3. Let z be (1\/(-2))\/(q\/(-2)). Which is the nearest to t?  (a) 2\/13  (b) -1\/12  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 0 + 2*o - 1 + 0 - 4. What is k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/5)\/((-6)\/40). Let n be (186\/240 + (-6)\/16)*10. Suppose -4*a = 5*u - 7, 0*u + 17 = n*a - 5*u. Solve -9 = 3*s + k, 0 = -5*s - a*k + p*k - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**3*s**3 - g**3*s**2 - 950*g**3*s - 71*g**3 - 424781*g**2*s**3 - g**2*s wrt g.\nAnswer: 6*s**3 - 6*s**2 - 5700*s - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2359002054 to the nearest integer?\nAnswer: 48570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -15*i**2. Let l be w(-1). Let s be -3*(-5)\/(l\/9). Let j(r) = -r**3 - 8*r**2 + 7*r - 13. What is the units digit of j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 12) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 87144727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44 in -0.2, 424, -0.4, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -25*u**2 + 3*u + 8. What is a(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 457*f + 464*f - 1848*f + 463*f + 461*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -50, -49, -38, -11, 38, 115?\n\"Answer: b**3 - b**2 - 3*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50254477 is divided by 1708.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from hhhhmhmhhhhhhhm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 0*s + s + 2 - 3. Let h(v) = 12857*v + 12842*v + 12843*v + 12837*v - 51377*v. Give -2*h(k) + 3*l(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1180*o + 18186 + 1874 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22254 is divided by 15827.\nAnswer: 6427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + p + 635. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -177*z**2. Let o(x) = -16*x**2. What is k(o(m))?\nAnswer: -45312*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17850 by -64.\nAnswer: 8925\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -400*i + 6*i**2 + 73*i + 81*i + 83*i + 65*i + 52*i.\nAnswer: 6*i**2 - 46*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2544 (base 6) to base 8.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305912?\nAnswer: 2, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1026, -1024, -1022, -1020, -1018, -1016?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -287, -214, -99, 52, 233, 438, 661, 896?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1600 and 2840640.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/7 - 7021078*p**2\/7 + 6161938524720*p\/7 + 6161945545800\/7.\nAnswer: 2*(p - 1755270)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 22*q - 4. Let z = -9 - 6. Let d be 14\/3 + (-5)\/z. What is the tens digit of j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 5*y - 5 = 2*a, 3*a - 4*y = -4. Suppose 4 = -4*o - 8, a = 3*w - 4*o - 225. Let n = 2 + 16. Calculate the remainder when w is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 532949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (0 - -3) + -114 + 109.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43041200 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) 111  (c) -0.04  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d**2 + d**2 - 4*d**2 + 9*d**2. Let r(c) = 11*c. Determine r(t(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a factor of 6124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8912 by 4.\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 25*j + 140. Let w be p(-16). What is the fourth biggest value in -6, w, 2\/21, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of -1 - ((-12)\/(-3) - 81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 PM and 5:49 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16489.81 - -16489.31000045. Let j = r - -0.5. Round j to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354 + 64 = 29*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, 88, 630, 1696, 3460, 6096, 9778, 14680?\nAnswer: 20976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-5)\/(-3))\/(1\/3). Suppose 7*a - 35 = -v + 3*a, t*v = -4*a + 127. Let u = v - -8. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 26*d**2 - 763*d - 125. Calculate p(-17).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 5*v**2 + 2*v - 6. Let q be (-250)\/(-30) - 1\/3. Suppose q*b - 4 = 7*b. What is n(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1259 is divided by 249.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 3*x**5\/5 - 10*x**4\/3 - 1954*x**3\/3 - x + 1262. Find the second derivative of p(y) wrt y.\nAnswer: 72*y - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 41 = 4*m, v + 21 = -0*m + 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2 + 86774248*k - 941221264495688 = 0. What is k?\nAnswer: 21693562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*f = -1719806 - 309221. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**4 - 1 - 5*i + i**3 + i**3 + i + 2*i as j*i**3 + c*i + b*i**4 + a + f*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63580208 divided by 31790104.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 0.1, 2\/5, -17870, -1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 11050503455?\nAnswer: 11050503452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009740187 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (40\/24)\/((-10)\/(-203106)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(12) + 3.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1034 - 889. What is the remainder when c is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37744?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02336873 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k**3 - 23*k - 24. Let g(a) = -150*a - 182 - 139*a - 34 + 44*a**3 + 81*a. Let y(i) = -6*g(i) + 52*u(i). Factor y(f).\nAnswer: -4*(f - 4)*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 210*p**2 - 8 - 5 + 127*p**2 - 128*p**2 in the form w + o*p + l*p**2 and give l.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 - h + 1. Let b(x) = -3*x**2 + 2*x - 2. What is -3*b(u) - 6*s(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -68*j**2 - 75*j**2 + 23 - 180*j**2 + 51*j**2 + 3*j wrt j.\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of c**5\/300 + c**4\/4 + 28*c**3\/15 + 42*c**2 - 3*c - 46. Solve v(d) = 0 for d.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.597384 millilitres?\nAnswer: 0.007597384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228 + 220.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.0979196 and -35109.\nAnswer: -35110.0979196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-8)*z*z*z)\/(z**(2\/21)*z))\/(z*z**(-6)*z*z**(-2\/5))*(z**(-2\/17)*z**(-2\/17))**(4\/25) assuming z is positive.\nAnswer: z**(-6541\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111000 + -1010001010100010011?\nAnswer: -1010001010101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0001 + -1.4999. Which is the fifth smallest value?  (a) 5  (b) 2\/3  (c) 1  (d) -3  (e) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9417 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 55061.6.\nAnswer: 55028.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -8. Let w(j) = -j**2 + q*j - 2*j. Let h(l) = 7*l. Let k(g) = -13*g. Let d(n) = 7*h(n) + 4*k(n). Calculate d(w(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010101100 (base 2) to base 15.\nAnswer: -9d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -28, -34\/7, 0.4988?\nAnswer: 0.4988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19525*q + 19523*q - 10 = 5*v, 4*v - 2*q + 26 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -11*d + 60. Let x(v) = 2*v**2 - 4*v - 6. Let n be x(-6). What is the highest common divisor of n and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17007995 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 2053321?\nAnswer: 2053321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 0*z + 1. Calculate the lowest common multiple of (0\/(-3) + 4*3\/(-6))*-3 and z*2\/(4\/(-22)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (-1)\/(18\/63))\/(((-18)\/24)\/3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.9 + 29.5. Let x = 5.4 - q. Let h = -27.988 - x. Round h to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbxdupiu. Give prob of picking 1 x, 1 i, 1 b, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = g + 2*h, -5 = -h + 2*h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4*s + 30. Let n be 16\/6 + s\/30. What is b in 6*b**4 - 3*b**2 - 26*b**3 - 2*b - 3*b**4 - 4*b + 32*b**n = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*k + 4*k. Let i(o) = o**2 - 4*o - 2. Let z be i(k). Solve 0 = z*c + 2*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, a: 1, i: 3, e: 6}. Give prob of sequence ka.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*f**2 + 9*f**2 - 9*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 507005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -4*c - 6. Let o(r) = -11*r**2. Calculate f(o(p)).\nAnswer: 44*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 466.0615l in millilitres?\nAnswer: 466061.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 150*v**2 + 8*v + 5. Let x(a) = -2*a - 1. Calculate l(d) + 4*x(d).\nAnswer: 150*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90, 72, 54, 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -899 + 895. Which is the closest to -0.11?  (a) -0.2  (b) 4  (c) 0.5  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.02 + -0.62. Let p = o + 1. Let t = 0.98 - -0.02. Which is the smallest value?  (a) t  (b) p  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 30. Suppose j + 1 = 3*o. Suppose 4*m = -2*s - 10, -5*s + 9*m + 30 = 8*m. What is the highest common divisor of s and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1369 less than -1240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 553050 is divided by 639?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from ocagjocc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 9:30 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r\/(r\/r**(-1)))))**(-5\/8)\/(r**(-3\/5)\/r**(-3)) assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 5*m + 4. Suppose -6*b + b - 20 = 0. Let s be x(b). Is (2 + s - -7)*2 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k**2 - 4*k**2 + 3*k**2 + (3 - 2 - 15)*(23 - 21 - 49)*(k**2 - k**2 - 4*k**2) in the form t*k**2 + c*k + z and give t.\nAnswer: -2630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c\/c**(-2\/3))))**(-2\/49)\/((c\/c**(-3))\/c*(c\/(c*c*c\/((c\/c**1)\/c)*c))\/c)*(c**(-5\/2)\/(c\/(c\/c**(-4))))\/(c**(-2\/5))**(2\/5) assuming c is positive.\nAnswer: c**(26401\/7350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -v, 0 = 2*n + n - 12. Solve 0 = -0*s - s + i + v, -s + 4 = -3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282*a - 33 = 5*q + 283*a, -4*a - 42 = 5*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14831931 + 14831931 - 1952*d**2.\nAnswer: -1952*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 144?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 4:04 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8, -14, -30, -62, -116, -198?\n\"Answer: -m**3 + m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of w**2\/2 + 21*w + 6. Let u be m(-18). Suppose -u*l = -41 - 103. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from soloclllllulsusclll. Give prob of sequence ocsl.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-2\/85)*u)\/u)\/((u**(-8)\/u)\/u))**18 assuming u is positive.\nAnswer: u**(16794\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*c**4*f - 2488179*c**2*f**2 - 15287083*f**2 with respect to c.\nAnswer: -8*c**3*f - 4976358*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of 0*u**2 + 3*u + 0*u**4 + 1\/20*u**5 + 0 - 5\/6*u**3. Find the second derivative of s(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*w - 66 = -59*w. Suppose -4*y + 38 = -106. Suppose -4*z - 4*u = -60, 5*u = 4*z + 12 - y. Calculate the highest common divisor of w and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7876174 divided by 7876174\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*p + 12 = -2*p, -2*k + 5*p = -15. Suppose 0 = 4*h - k*h + 3. Let d be (3\/h)\/((-2)\/(-10)*1). Solve 2*a - d*a - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 9*i**2 + 117087*i - 351274. Determine b(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 + 7)*(-4*c + 6*c + 9*c) + 2*c + c - 2*c + (2*c + 3*c - 6*c)*(-1 + 4 - 1) as p*c + t and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(-2*n**2 - 2*n**2 + 3*n**2) + 3*n**2 + n**2 + n**2 + (4 + n - 4)*(14*n - 3*n + n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -247 * -195555\nAnswer: 48302085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + ((-864)\/30)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2333, 2\/21, 0.5, -128, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 4 - 4)*(4*q - 2*q - q) + (q + 2 - 2*q + 0)*(2 - 4 + 3)*(2*q - 4 + 4) + 724*q**2 - 2273682*q + 2273682*q.\nAnswer: 723*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -137*q + 32*q + 33*q + 36*q + 32*q. Let r(z) be the first derivative of 1 + 10*z - 10*z - z**2. What is a(r(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9\/2)\/(-3)*-2. Let s = -0.03 - -0.53. Put d, s, 2 in descending order.\nAnswer: d, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -125, -119, -103, -71, -17?\n\"Answer: r**3 - r**2 + 2*r - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*s**4 - s**4 + 0*s**4)*(-1 + 1 + 2) + 0*s**2 + 0*s**2 - s**4 + 2*s**4 - 11*s**4 + 8*s**4)*(-1098*s - 2999 + 2999).\nAnswer: -2196*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + 10*q - 21. Let k be m(6). Suppose -k*h + 12 = -0. Solve 2*o = -0*c + 2*c + 18, h*o - 4 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.5 in -4\/7, -0.15, -0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8803 (base 12) to base 7.\nAnswer: 61446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 62846*f*w*y + 612*f*w + 7*f + 3*w + 14 wrt y?\nAnswer: 62846*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9223113.\nAnswer: 3, 19, 43, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 3\/2  (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1700 + 18*r - 3409 - 19*r + 1692.\nAnswer: -r - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -9. Let g(s) = -2*s**2 + 0*s**2 - 9*s**q - s**2. Let m(c) = -4*c**2. What is g(m(v))?\nAnswer: -192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9402428 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 781?  (a) -4  (b) 0.09  (c) 2\/5  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**2\/8 - 33*t\/8 = 0. Calculate t.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5733)\/(-702) + -1*2\/12. Find the second derivative of -315*d**2 - 34*d**3 + 635*d**2 + 2*d - 320*d**2 + y wrt d.\nAnswer: -204*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 + -2) - 195\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y - y - 4*y**2. Let n(u) be the third derivative of u**5\/30 - 14*u**2. What is n(x(q))?\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 3*(-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -p**5\/45 - 2*p**4\/9 - 8*p**3\/9 - 9*p**2. Suppose j(o) = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2963.\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-7)*6\/8*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 + 6*d**2 + 4*d + 4. Suppose 0 = 2*t + 3*w - 7*w - 12, w + 9 = 2*t. Suppose -8 = h - t. Is 20 a factor of x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/3408 and -31\/852?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**7\/105 - n**3\/2 + 3*n**2\/2 + 1. Let q(i) be the second derivative of a(i). Find the first derivative of q(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = a + 5*y - 5, 3*y = 4*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2525.967 + -2527. Round s to 2 dps.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**4\/24 - 2*b**2 - 43*b. Let a(n) be the first derivative of t(n). Let d = -8 - -3. Calculate a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of b**5\/60 - 7*b**3\/2 + 13*b**2. Calculate the remainder when p(-7) is divided by -1 + 2 + 45\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z + 2*z + 9*z)*(-217 + 160 - 292).\nAnswer: -5235*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from ggngggngnggg?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0331 - -27602927977.\nAnswer: 27602927976.9669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(144)\/sqrt(6) - sqrt(24) - (sqrt(288)*-1)\/sqrt(12))\/(-4*2*sqrt(1200)*6).\nAnswer: sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + 2*a**2 + 5*a - 2. Let y be h(3). Suppose -y*i + 6*i - 20 = 0. Let c = 15 - i. Solve -16 + 6 = -c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147918957.\nAnswer: 3, 23, 2143753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2524 by -4.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1061 divided by -1?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t + 31*t = 91. Let z = 14 + -20. Let p(c) = -4*c - 25. Let x be p(z). Put x, t, 2 in ascending order.\nAnswer: x, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-35))\/((-11)\/(-55)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*w = -890 - 755 + 6825 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222 (base 7) to base 13.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - d - 1 - d + d + d + (-d + 2*d - 2*d)*(-1 + 5 - 2) + 0*d - d - d in the form n + r*d and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of 3*w**2 - 1\/24*w**4 + 0 + 0*w + 2\/3*w**3 - 1\/120*w**6 - 1\/15*w**5. Determine c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - b + 1. Let p(w) = 6*w**3 + 4*w**2 - 3*w + 5. Let i(q) = p(q) - 5*t(q). Let s = -2 + -1. Determine i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5858 divided by -72?\nAnswer: 2929\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 75 = w, -4*o - 3*w + 76 = -5. Suppose c = m - 3*c - 150, 0 = -m + 2*c + 140. Let r = m - 66. Calculate the smallest common multiple of o and r.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -3*d**5\/5 - d**4\/4 - 186*d**3 - 395. Find the third derivative of r(b) wrt b.\nAnswer: -72*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.727372l to millilitres.\nAnswer: 1727.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -d**2\/2 - 9. Let w(k) = 11*k**2 + 11 + 8 - 19. What is h(w(l))?\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*l + 57155 = -17413. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -374 divided by 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8737.\nAnswer: 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16723676797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 12 - 12)\/((42\/132)\/7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r + 6. Let y(p) = 3*p - 18. Let s(l) = -8*x(l) - 3*y(l). Let d be s(7). Calculate the remainder when d\/((-1*3)\/99) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-4)*((r\/(r*r**(-2\/61)*r))\/r*r)\/r*r\/(r*r**(-34))*r\/((r\/((r*r*r*r\/r**34*r)\/r))\/r)*r)**(-42) assuming r is positive.\nAnswer: r**(-84\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + k + 2 + 48 = 0, -4*h + 2*k + 52 = 0. Let t be (-4 - -1)*h\/(-9). Factor 4*o**4 - 6*o**t + 30*o**2 + 2*o - 13*o - 5*o - 12*o**3.\nAnswer: -2*o*(o - 1)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 164 - 338 + 246 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -n**6\/27 - 4*n**5\/45 + n**4\/9 + 16*n**3\/27 + 7*n**2\/9 + 4*n\/9 + 108. Factor d(u).\nAnswer: -2*(u - 2)*(u + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2167 and 12017?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 3*r**2 + r + 2. Let s be l(2). Suppose -d + 2*u + 2 = s, u + 1 = d - 1. Solve 0 = -d*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m - 14. Let k = 16 + m. Suppose 5*s - 2*l = -4, -3*s + 3*l - 4 = k. Which is bigger: s or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66202*a**2*j*q + 49*a**2*q + a**2 - 3*a*j*q - 46*a*q wrt j.\nAnswer: -66202*a**2*q - 3*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192543 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5681\/247 + (2 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1758214 * -41.\nAnswer: -7.2086774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 150586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t. Let i(p) = 39*p. Calculate i(a(d)).\nAnswer: 273*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*a - 24*a - 9. Suppose 3*q - 234 = -3*z, 3*z - 310 = -z - 3*q. Let g = z - 46. Calculate the smallest common multiple of a and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 80. Let i be 4 + -3 + -5 - u. Let j = i + -25. What is the remainder when j is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 13*a**2 + 17*a - 3. Does 25 divide c(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 r, and 1 y when three letters picked without replacement from wrydnnwr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g*l**4 + 17051635*g - 2504410*l**4 with respect to l.\nAnswer: -4*g*l**3 - 10017640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -277509, -624 in ascending order.\nAnswer: -277509, -624, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6218670 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2. Let d be q(0). Let g(o) = -5*o + 8 + 3*o + o. Is 8 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 + 1)\/3 + 8503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2. Suppose 0 = -3*g - i + 3, -6 = 4*g - 5*i - 29. Let n(c) = -c**2 + 5*c. Let j be n(4). Let k(t) = g*t + 3*t - j*t - 4*t. Calculate l(k(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-8) + 618\/(-24). Let m = -27 - q. Which is the third biggest value?  (a) 4  (b) m  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - -9) + 4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from jjjtjjkkjajjjakt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2323\/11 + -211. Suppose -3 - 3 = -3*s. What is the nearest to -3\/4 in t, 1, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.068*84\nAnswer: 5.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/57)\/(a*a*((a\/a**(5\/6))\/a)\/a*a) assuming a is positive.\nAnswer: a**(-43\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v = 61*v - 6840915 - 4686442. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 + 29. Let s(p) = -p**3 + 7*p**2 + 3. Let i be ((-3)\/(-9)*3)\/((-2)\/(-14)). Let m be s(i). Solve -3*w = -m*g - 9, -4*w + 5*w = -4*g - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, e: 3, x: 3}. Give prob of picking 1 e and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3720585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 less than or equal to 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 divided by 231?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*j + 1)*(0*j**4 + j**4 + j**4) + 26*j**5 + 11*j**5 - 26*j**5.\nAnswer: 15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*i - 18. Let o be (3\/i)\/((-10)\/(-8)). Let r be ((-6)\/(-8))\/(1\/(-4)). What is the smallest value in o, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 40355, 44028, 54001, 73424, 105447, 153220, 219893, 308616?\n\"Answer: 525*g**3 - 2*g + 39832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10000101001100 (base 2) to base 9\nAnswer: 12621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.3748962 rounded to one decimal place?\nAnswer: 57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 166*x - 627*x - 1882*x + 282*x to the form d*x + t and give d.\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*c - 3 = 0, -5*m + 17 - 13 = 4*c. Solve 3*q + 16*g - 19*g - 18 = m, 2*g = 5*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, -7, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1080)*1 + sqrt(1080) + sqrt(1080))\/(sqrt(10) + 2*(sqrt(10) - 1*sqrt(10))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - r = -6*p, p + 3*r = -14. Which is the nearest to -1?  (a) p  (b) 3\/8  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 367 = 40*q - 37*q - 2*n, -3*q + 342 = 3*n. Calculate the remainder when q is divided by 84.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 98 + -84. What is the remainder when a is divided by (2 - (-22)\/(-8))\/((-21)\/140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 796217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -102102121 (base 3) in base 5?\nAnswer: -231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 3*k = -5*j + 221, -5*k - 123 = -3*j for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 17. Let s = 19 - a. What are the prime factors of 2\/s + (-298)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m = 47*m - 490140. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90 + r**2 - r**2 + r**2 - 90.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46*f + 53*f + 90*f + 51*f to the form u + l*f and give l.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/395, 0.066, -2\/23 in descending order.\nAnswer: 0.066, -3\/395, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 9 - (0 - 0) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 22*i - 44. Determine v(-21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y**2 - 6*y - 1. Let c(i) be the first derivative of 2*i**3 - 7*i**2\/2 - i - 3. Suppose 0 = 3*f + f + 20. What is f*s(j) + 4*c(j)?\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1536558258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4824\/13 - -371. Which is the second biggest value?  (a) 0.1  (b) -2  (c) -2\/7  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of 111*v**5\/20 - v**4\/4 + 23*v**3 + v**2\/2 + 69*v + 1. What is the second derivative of k(h) wrt h?\nAnswer: 666*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14105\/1209*(-12)\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 1 + -3)*-2 - ((1 + sqrt(72) + sqrt(72))**2 + sqrt(12)\/sqrt(6)*2).\nAnswer: -285 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -7  (c) -231803  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13395 - 5*t + 13395.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1821 = 52*c + 8217. Sort 3, -4, -5, c in ascending order.\nAnswer: c, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6574518 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -35b (base 13) in base 12?\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3425.6 - -2086?\nAnswer: -1339.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 21*x - 2. Let o be b(-21). What is the third smallest value in 4, o, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 3, -2\/3, -4\/19, 1.55, -0.3?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2141.926 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-63) + 4\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**6 - d**5 + 2*d**4 - 1. Let s(p) = -78*p**6 + 2*p**5 - 7*p**4 - 92*p**2 + 2. Let v(o) = -2*l(o) - s(o). What is the third derivative of v(q) wrt q?\nAnswer: 9120*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.499440163 - 2.9?\nAnswer: -4.399440163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 342 (base 7) to base 13.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 87457 - -4143.\nAnswer: 91600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60 - -59.51. Let y = -0.09 - g. What is the nearest to -0.1 in -0.5, y, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b - 87 - 143 + 6 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 7)\/(6\/22 + (-299)\/3289).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1292.52 + -0.3\nAnswer: 1292.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5440332411575\/5712 - -952439143. Let t = 1\/357 - z. What is the common denominator of t and -167\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*2 - (14 - 13). Suppose 1 = -2*v - m*l + 7, -2*l = 2*v - 8. Solve -5*r + 3*g = v, -g + 2 = 2*r - 0*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r - 6*r = r. Put r, 5, 1 in increasing order.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 115280a + 12?\nAnswer: 1152820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 583269*s**3 - 290268*s**3 - 291491*s**3.\nAnswer: 1510*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 37513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d + 376 - 453 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 17918*d - 17921*d + 20, -y + 4 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -10 - -13) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*c + 35820 = -230*c - 285*c - 159*c for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-91603.\nAnswer: -18320.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99576?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.1  (b) -60.4  (c) -0.3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -18, 9, -3.\nAnswer: -18, -5, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t**2 - 6*t - 57. Is q(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 11, 1 in decreasing order.\nAnswer: 11, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + 4*t**2 + 2*t. Suppose 20 = -4*w, -4*w + 1 = -5*y + 6. Let z be h(y). Suppose -5*d + z*d = -10. What is the highest common divisor of d and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {l: 11, s: 8, v: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 109 - 77. Calculate the highest common divisor of 352 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 3\/8  (b) -1  (c) 0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 133296652 to the power of 1\/2, to the nearest integer?\nAnswer: 11545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 15 = -3*j. Let z = -13\/3 - -25\/6. Which is the closest to 14?  (a) z  (b) -0.4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40825 and 22609?\nAnswer: 40130975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -116675 divided by 1795\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 1003*b**2 - 509*b**2 - 336*b**2.\nAnswer: 158*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/4372 and -19\/11045858.\nAnswer: 22091716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 7, l: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 10. Suppose 0 = -4*g - b + 17, -36 = -5*g - 3*b - v. Let p(x) be the second derivative of -x**3 + 3*x**2\/2 + x. Determine p(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 38, 75, 162, 323, 582?\n\"Answer: 4*s**3 + s**2 + 6*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, k: 1}. Give prob of picking 1 k and 3 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.564 - -0.064. Which is the smallest value?  (a) r  (b) 0.1  (c) 2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 8*f - 12*f + 20398, -5*f = -3*r + 30586. Does 93 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000162879969 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.04 + 0.24. Let u = 3.01 + -0.01. Let f = 27 + -22. Which is the closest to -1\/3?  (a) u  (b) f  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 111600520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -160.56 - -654?\nAnswer: 493.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) -1.9  (c) 1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0493 times 0.0226?\nAnswer: 0.00111418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43*n**5 - 4*n**2 - 4*n + 71 wrt n.\nAnswer: 860*n**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*j**3 - 2*j**3 - j**3)*(-29*j - 2 + 5 - 4).\nAnswer: -232*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -558487875 divided by 4467903.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1581807610?\nAnswer: 2, 5, 29, 653, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 98, 357, 866, 1709, 2970?\nAnswer: 4733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hkfxoohhxooxoh. What is prob of picking 1 h, 1 f, and 1 o?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 4) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -5*y**3 + 3*y**2 - 4*y + 3. Let s be l(3). Let i = -606 + 432. Let u = s - i. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k + 20. Let t be z(9). Suppose 7*o - 10 = t*o. Suppose -m = o + 3. What is the smallest value in 0.01, m, -4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2\/4 - 423*m\/4 + 5457\/2.\nAnswer: 3*(m - 107)*(m - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o + 2*o = -30524. Suppose 0 = 3*u - 4*r - 4831, -u - 3*r = -419 - o. List the prime factors of u.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 348, -5, 47 in decreasing order.\nAnswer: 348, 47, 11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003213 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + 20 = 2*f, -o - 4*o - 4*f = 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of w**4 + 3*w**3 - 43361*w**2 - 109684 wrt w.\nAnswer: 4*w**3 + 9*w**2 - 86722*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -712 + 568. Let m = b - -938. What are the prime factors of m?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4*r + 17028 = 0, 4*t + 5*r - 2729 = 14297. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4347687l in millilitres?\nAnswer: 434.7687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78, -70, -62, -54, -46, -38?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence djje when four letters picked without replacement from {d: 2, e: 1, y: 1, p: 1, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/17?  (a) -1  (b) -4  (c) 5  (d) -0.5  (e) 11  (f) 25360\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 215, 1687, 5675, 13433, 26215, 45275, 71867, 107245?\n\"Answer: 209*q**3 + 4*q**2 - 3*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1624 = 4*b + 1784. Let r be 16\/6*b\/(-16). Suppose 4*o - r = 54. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = g + 3*c, -5*g + 4*c + 15 = -3. Solve 3*o = g*d + 16, -5 = 5*o + 4*d - d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 11. Suppose -2*w - 2 = -n. Solve -3*g - 6 = -w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2597.997 seconds in milliseconds?\nAnswer: 2597997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/4902 and 93\/1805570.\nAnswer: 5416710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 23*n - 2. Suppose -6*h = 10*h - 32. Calculate the remainder when 307 is divided by k(h).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/23 in -1, -3, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -u**8\/6720 + 32*u**5\/15 + 148*u**2. Let v(l) be the third derivative of b(l). Let s(n) = -8*n**2. Determine s(v(w)).\nAnswer: -72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 2\/21  (c) -6930  (d) -3\/7  (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x. Let p(t) be the third derivative of t**8\/6720 + t**5\/30 + t**2. Let q(v) be the third derivative of p(v). Determine r(q(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2948220 divided by -45?\nAnswer: -65516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (24\/14)\/(10\/210)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17 and 185842?\nAnswer: 3159314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 11*l - 16. What is the remainder when 16 is divided by s(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*f - 2, f + 2*x = 1 - 2. Which is the biggest value?  (a) -1\/11  (b) f  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 17, -1.\nAnswer: -1, 17, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2938943*f**3 - 68*f**2 + 216*f + 45 wrt f.\nAnswer: -17633658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-15) + 12\/(-18). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = m + 5*l, 3*l = m - 2*l - 22. Let p(z) = -z - 4*z + 2*z - m. Let g be p(-4). Calculate the highest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(((c\/c**(-2\/13))\/c)\/c))\/c*c)\/c)\/(c\/(c**(-3\/8)*c))*c**(-9)*c**(-1\/4) assuming c is positive.\nAnswer: c**(-913\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxkxxxkkxx. What is prob of sequence xxkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 10, t: 10}. Give prob of sequence tee.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2*k + 2 = -0, 5*l = 4*k - 2. Suppose l*a = -0*a - 2. Let t = 109\/30 - 19\/5. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 577, 518, 459, 400?\n\"Answer: -59*w + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/4824 and 97\/537072.\nAnswer: 1611216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8\/167?  (a) 1\/2  (b) 10\/3  (c) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 281055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 26 + 2. Let c be (-2 - (-3 + 1 + -2)) + q. Suppose 0*z - 2*z = -4*g + c, 3*g - 5*z = 22. Is 4\/31 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -4, 15, -1663?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 113 = -67. Suppose 7*w = 2*w - o + 70, 0 = -o - 5. Suppose -w*c + 160 = -5*c. Calculate the remainder when g is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -388 divided by 4?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {w: 14, p: 1, c: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*t + 0*t**2 + 27*t + 5*t**2 to the form l + m*t + c*t**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 7:09 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**5 + 9980*k**4 + 49976*k**3 + 60016*k**2 - 39968*k - 80000 = 0?\nAnswer: -2, 1, 2500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -76073 rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -754834*n - 2*j = -754838*n - 54, -j = -5*n - 75 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*q**3 - 2166 + 1101 - q**2 + 1067 + 10*q to a*q + m*q**2 + z + b*q**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/2)\/(4 + -3). Let o be 38 - 1\/(b\/(-2)). Let j = o + -4. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 29*p - 35. Let g(h) = -9*h + 12. Let w(u) = 7*g(u) + 2*q(u). Let n(f) = -3*f + 7. Determine -11*n(i) + 6*w(i).\nAnswer: 3*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*u + 11. Let d be (-39)\/9 - (-2)\/6. Let f = -286 + 288. Put f, u, d in ascending order.\nAnswer: d, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560 = 87*r + 2469 + 779 + 2358 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -19*y. Let n(p) be the third derivative of p**4\/8 + 155*p**2. Calculate j(n(f)).\nAnswer: -57*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 9:54 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 10 = 3*u, 4*c + 18 = -0*c - 5*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + 21 + -2 - 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 7*m**2 + 5*m - 2. Let n be y(6). Let a = n - -10. Suppose a*t + 1 = 27. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -810.637 rounded to the nearest integer?\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(567) + -5 - -1*(sqrt(567) + 1)) + -5 + -4*((sqrt(567) - (-4 + 2 + sqrt(567))) + -3)**2.\nAnswer: -13 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/35 - (-2)\/35. Let k be (-8)\/(-36) - 46\/(-36). What is the third biggest value in k, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27781 - 9476. Let u be k\/55 + (-2)\/(-11). Suppose 4*j - 894 = -2*v, 2*v - 1235 = 4*j - u. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -6*v**5 + 5*v**4 + 10*v**2 + 5*v. Let q(t) = 6*t**5 - 4*t**4 - 9*t**2 - 4*t. Let m(y) = 4*a(y) + 5*q(y). What is the third derivative of m(j) wrt j?\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-1 + -1) - -4. Suppose 3*m = -z*a - 11, 4*m - 5*a + 30 = -0*a. Put 5, 3, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2822 (base 9) to base 10.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2789\/4 or 1343\/4?\nAnswer: 2789\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 125*k + 1793. Calculate u(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 = 19177*y - 19126*y. Which is the smallest value?  (a) y  (b) -24.7  (c) 0.06  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, y: 8, p: 2, c: 1, z: 5}. What is prob of picking 1 y and 1 c?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -36919, 4, 1\/5, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, 1\/5, -15, -36919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 37*h**3 + h**2 - 1. Let b be f(-1). Let o = b - -112\/3. What is the closest to o in 6\/5, 0.3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 1. Let t(a) = 4*a**2 - 4. Let s(w) = 5*h(w) - t(w). Let m(p) = 11*p**2 + p - 5. Let d(c) = -m(c) + 6*s(c). Let u = -4 + 3. Calculate d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*0.0057\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -683 times 29\nAnswer: -19807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 10*h + 12. Let k be g(9). Let i(u) = -3*u + 1. Let a be i(k). Calculate the common denominator of -33\/7 and a\/12*49\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 606*0.6\nAnswer: 363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6357305 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3213030 - -3?\nAnswer: -3213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.3 * -1988.\nAnswer: 24452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**3 + 18*b**2 - 7*b - 5. Let g(w) = 3*w**3 + 9*w**2 - 4*w - 2. Let a(d) = 9*g(d) - 4*r(d). Is a(8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3.5, -1, -2, -15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 - -4.5. Let m = 7 - k. Let n = -119 + 118. What is the third smallest value in m, n, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*d - 4*d = -263 - 541 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29 - (-28 - 12)) + (-7 - -6) + -84?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11136810.331 + 16172.669. Let t = a - 11153157.99889. Let n = -175 - t. What is n rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18925 - 18925.3. Let y = -1.4 - -33.4. Sort y, 4, c, 0.3.\nAnswer: c, 0.3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-9)*3*-92. Suppose 2*i - 3*k = -100, i + 47 = -k - 8. Let p = i + a. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50115 and 33667.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - g**3 + g**3 - 3*g**3 + 29*g**2.\nAnswer: -2*g**3 + 29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 209891 + b - b**3 - 209891.\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-840)\/(-100) + (-8 - 0). Let b be (-84)\/105 - (-3)\/5. Let x(l) = -l - 6. Let r be x(-8). What is the second smallest value in b, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*m + 27 = 2*g, -2*g + 38 = 3*m. Suppose -8*f = -g*f + 10. Calculate the remainder when (8\/(-4) - -76)\/f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, n: 3, x: 1, o: 3, m: 2, q: 2}. Give prob of sequence xonh.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104051 and 1012556?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 12.5669+5\nAnswer: 17.5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*b - 28*b - 990. Calculate the remainder when b is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98193403 divided by -5.\nAnswer: -98193403\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3929, -8459, -14197, -21743, -31697, -44659, -61229?\nAnswer: -82007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 757560 (base 9) in base 7?\nAnswer: 3560640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {r: 6, y: 1, a: 1, j: 1, m: 2, q: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -8*d + 24. Let v be f(-1). Solve 0 = -4*s + 5*j - 35, 4*s - 2*j = 2*j - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/10 - (-47)\/(-5). Let h(g) = 24*g**3 - 6*g**2 + 9. Let k(q) = -12*q**3 + 3*q**2 - 4. Let o(v) = c*k(v) - 4*h(v). Suppose o(m) = 0. Calculate m.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 5*p**3\/6 - p**2 + 2*p. What is the remainder when u(3) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7999537 * 10\nAnswer: 79995370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 829*p**2 - 43008*p + 43008*p.\nAnswer: 829*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20038162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 4*c**2 - 36*c + 3. What is the lowest common multiple of 30 and g(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1554 divided by 37.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32203 + -96613\/3. Let o = 3 - 4. What is the nearest to -3.1 in l, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 101 + (-2 - -3). Let m = 127 + -107. Calculate the greatest common divisor of m and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34473 is divided by 1568?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-897)\/(-7392)*26. Let y = -3\/112 + p. Let v be (2\/4)\/((-2)\/(-4)). Which is the second biggest value?  (a) v  (b) -0.5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2*g + 3)*(-4 - 1 + 2) - 11*g - 14*g + 9*g + (73 + 67 - 130)*(-g - 1 + 1) + (0 + 0 - g)*(2 + 4 - 4) - 3*g + 0*g + g as c*g + z and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2170, -4222, -6274?\n\"Answer: -2052*u - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/21)\/((-3)\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 9.4 and 0.01394.\nAnswer: 9.41394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + (1 + sqrt(98))**2 + ((-3*sqrt(98))**2 - sqrt(98)) + -2 + 2).\nAnswer: -4895 - 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/7)*a)\/a)\/(a*a*a**(-23)*a*a) assuming a is positive.\nAnswer: a**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -12, -4*t - i - 104 = 4*i. Let g be (-3 + 2)*(0 + t). Suppose -l + 4*l = 2*m + 17, -4*m + g = 5*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7958 + 7960. Factor 2*f + v*f**2 + 2\/3 + 2\/3*f**3.\nAnswer: 2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of 194*h + 0*h**2 + 0*h**4 - 110\/3*h**3 - 17\/5*h**5 + 0. Find the second derivative of p(v) wrt v.\nAnswer: -408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 7695 = 4*s - 1680, -5*s - 1203 = -o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, a: 1, g: 1}. Give prob of sequence lg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 969\/5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/4*d**3 + 7\/4*d**2 + 1\/4*d - 7\/4 = 0. Calculate d.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21852 by 21852.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 6. Let d be q(5). Let x be d\/2*(-2 + 0). Let m(s) = s**2 + s. Let b(l) = 264 - 5*l - l**2 - 264. Calculate x*b(n) - 5*m(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -7. Let r(z) = 3 - t*z**2 + z + 2*z**2 + 0*z + z**3. Suppose 2*b = p + 4*b + 6, -p - 12 = 4*b. Give r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 215*t - 49. Let l be v(9). Let p = -1243 + l. What are the prime factors of p?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/1746 and -151\/1398.\nAnswer: 406818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92 - 91. Solve -3*g - 11 = 4*s, g + 3*s = 4*s + o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a006c2 (base 14) to base 11.\nAnswer: 73178a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 19 - -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1914*f**3 + 1896*f**3 - 5656*f**3 + 1842*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -567 - -801. Let o be (390 - 400)*((-81)\/2 - -1). Let w = o - n. What are the prime factors of w?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3*j + 4*s, 182419*j - 182399*j + 125 = -5*s for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*d + 47*d - 83*d + 6*d**2 + 13*d**2.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, o: 4, s: 3, e: 1, p: 2, x: 1}. Give prob of picking 2 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2 = -4*v, -s + 4 = -4*s - 5*v. Suppose -754 = s*x + 4166. What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -13509, -13998, -14821, -15984, -17493, -19354, -21573?\n\"Answer: -j**3 - 161*j**2 + j - 13348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65\/((-1885)\/(-522)))\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62481 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 5*c**2 - 11*c + 23. Let t be w(-7). Solve -15 = 5*o - t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -4*d**5\/25 - d**4 - 8*d**3\/5 - 174. Factor o(p).\nAnswer: -4*p**2*(p + 2)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 5*b**2. Let x be 4\/22 + (-60)\/(-33). Suppose 4*c = -2*i, x*c - 6 = i - 5*i. Suppose -6 = i*d + 4. Give f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-14)\/6)\/7*4)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -14 - (-4 + -3 + 8 + 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 2\/63, 2, -13 in increasing order.\nAnswer: -13, 2\/63, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 18*z - 6. Let w be 78\/21 + (-2)\/(-7). Calculate the remainder when m(w) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 4*f = 2962. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.75 and 0.2396.\nAnswer: -3.5104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12898 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 7) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from zkaffkf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 + -31. Which is the second smallest value?  (a) n  (b) -4\/7  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/220 and 139\/4686.\nAnswer: 46860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -5*i**3\/3 - 7*i**2\/2 + 12*i + 6. Let t be n(4). Let j = -60 - t. Which is greater: 34 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -5*u**3 - 29*u**2 - 23*u + 24. Let c(s) = s**3 + 7*s**2 + 6*s - 6. Let k(p) = 9*c(p) + 2*l(p). What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 161*p + 2. Let m(v) = 2*v**2. Give l(m(d)).\nAnswer: 322*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-77)\/(-7) + (-4)\/2. Let d = 333 - 181. Let l = d - 53. Calculate the greatest common divisor of o and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -138 - 49. Let w = -186.999802 - d. Round w to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -284863, -2278800, -7690915, -18230296, -35606031, -61527208, -97702915?\n\"Answer: -284848*k**3 - k**2 + 2*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7551.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 505013499 is divided by 4150.\nAnswer: 4149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -119*b**4 + 16*b**4 - 281*b**4 + (-2*b**4 + 0*b**2 + 0*b**2)*(-3 + 2 + 2) - 13*b**4 + 17*b**4 - 13*b**4.\nAnswer: -395*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-25 - (11 + -27)) - 7 - 49.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 7*f**3 - 5*f**2 + f - 304. Let w(d) = 3*d**3 - 2*d**2 - 152. Calculate -2*h(q) + 5*w(q).\nAnswer: q**3 - 2*q - 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*o + 3*o + 15. Let n = 356.5 - 487. Let g = n + 130. Which is the second biggest value?  (a) g  (b) 1\/2  (c) -5  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 905.\nAnswer: 3\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(209) - (sqrt(209) + sqrt(209) + 1*sqrt(209) + sqrt(209))))\/(sqrt(704)*-4 - sqrt(704))*4.\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-894 - -885) + (4 + (-4 - -2) - 99)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/3 of a year?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: (159\/106)\/(((-2)\/(-89))\/((-116)\/87))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48619\/44 - -1105. What is the common denominator of w and 67\/500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*((sqrt(300)*-2)\/sqrt(6) + sqrt(800) + sqrt(800)*1 + sqrt(50))*-6)**2.\nAnswer: 1411200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 4*y**6\/21 - 18*y**5\/35 + y**4\/7 + 16*y**3\/21 - 6*y**2\/7 + 2*y\/7 - 26. Suppose u(x) = 0. What is x?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + 376176 - 375969 = -w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -80.1 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.8 - 4362881.\nAnswer: -4362880.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -81510999 and 0.0684.\nAnswer: -81510998.9316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -0*k - 4*k + 3*u, 3*k + 5*u + 1 = 0. Suppose 7 = 2*p - 5. Let r be (-14)\/p - (-2)\/1. Which is the nearest to -1\/2?  (a) k  (b) -0.3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3672)\/(-117))\/4 + (-2)\/(-13). Let b(v) be the first derivative of f + 0*v - 4\/21*v**3 + 2\/7*v**2. Factor b(c).\nAnswer: -4*c*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2903 is divided by 722?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/3 - 109*t + 1660\/3.\nAnswer: -(t - 5)*(t + 332)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -5*r + 131. Let y(t) = t**2 - 7*t - 130. Let m be y(15). What is the remainder when (70 + -59)\/((-2)\/m) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 7680257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 431 a factor of 469045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-1) - (-1 + 1). Suppose z*h + d - 5 - 4 = 0, -5*d + 12 = -h. Let j be (h\/(-2))\/(1\/(-16)). What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 50049255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1228*v**3 - 6 + 6 + 612*v**3 + 594*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 35  (b) 0.091  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -16*v - 194. Let c be i(-13). Suppose -2490 = 9*z - c*z. What are the prime factors of z?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -7*t**6\/360 + 5*t**5\/9 + 119*t**4\/18 - 8*t**3 - 1227*t**2. Suppose o(q) = 0. Calculate q.\nAnswer: -4, 2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**3 + 10 - 10 - 2*y**2 - 2 to the form w + j*y**3 + i*y**2 + z*y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 10, 12*t + 3*k = 212 - 146 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13336 or 16875?\nAnswer: 16875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2. Let p(x) = -1560471*x**2. What is w(p(k))?\nAnswer: 4870139483682*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w - 5 = 13*w. Let f be 10*w*10\/50. Suppose 3*z + 2*z = 0. Solve 0*h - h - f = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-280)\/(-56) - (-1 + 8). What is the remainder when 202 is divided by (-27)\/(-18) - 39\/o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.05  (b) 4\/215  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2.4, 18, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*v + 2*v**2 + 2*v**2 - 4*v**2 + 7*v**2.\nAnswer: 7*v**2 + 90*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 475889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14283\/(-24) - 1\/(-8). Let h = 836 + m. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -26, -80, -186, -362?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k**3 - 2*k**3 + 35*k**3 - 17*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of t**2 + 3. Let d(s) be the third derivative of 0 + 0*s + 1\/6*s**4 + 0*s**3 - 5*s**2. Give d(w(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -13*q + 10. Let w(z) = 14*z - 10. Suppose 264 = 4*y - 120. Suppose -y = -4*p - 80. Let l(g) = p*r(g) + 5*w(g). Differentiate l(i) with respect to i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f - 2. Let m(c) = -c + 2. Let j(l) = -3*m(l) - 2*p(l). Let g be j(-5). Suppose 4*w - g = 5. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - i + 69, -2*i - 8 = -2. Suppose 3*g - r = -0*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 3*n - 2*n. Suppose 3*o - 82 = -4*r - 5, 4*o = -2*r + 106. Let f = n - o. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*z - 96826 + 96776 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 6*i - 29. Let v be c(11). Suppose v = 19*r + 7. Sort 4, r, 3 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5 = v - 2*v, -5*v - 2*t = 2. Suppose v = -c - 5*c - 7260000. Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 - -18. List the prime factors of 8 + d - 9\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 649233.3 nanograms?\nAnswer: 649.2333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/9 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -38. Let f be (m*(-12)\/(-27))\/(6\/342). Suppose -2*g = -3*g + f. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25222 is divided by 1730.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 2\/3*f**3 - 227\/2*f**2 - 244 + 0*f - 121\/4*f**4. What is the second derivative of s(r) wrt r?\nAnswer: -726*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -912, -1699, -3018, -4875, -7276?\n\"Answer: -o**3 - 260*o**2 - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(-1)*6\/6. Let d(x) = -x**2 - 11*x - 12. What is the remainder when d(l) is divided by -6*(3 - 4) - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/15965894 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (1 + 1 - 6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 39\/(-6) - 1\/2. Let t = j + 39. Let h be (-4)\/(-3)*(9 - 6). Calculate the highest common factor of t and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 4*m = -3*t + 14, -m + 5 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of 3*t**5\/5 + 4*t**2 - 9*t. What is the first derivative of i(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 divided by -56.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 259 + (-2 - (2 - 5)). Let o(s) = s**2 - 8*s + 13. Let k be o(7). Suppose -k*b = -b - d. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 171348\/218*3\/(-2). Is -1179 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from jjjjjjjlnn?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15.047 + -15.347. What is the third smallest value in 170, 0.1, -2, 3\/5, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -180032983*x**4 - 317341287*x.\nAnswer: -2160395796*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 213.5584t?\nAnswer: 213558400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*v**4 + 2*v**5 - 4*v**5 + 132*v**3 + 0*v**5 - 180*v**3 + 13*v**4 = 0. What is v?\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 7817*l + 69557. Determine a(-9).\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 0.3. Let v = 245.64 + -243.64. What is the nearest to d in 0, -3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -23*2\/(-6) - 20\/(-60). Suppose -6*c + 4*c + 2 = 0. Let f be 120\/64 + c\/8. Solve f*z + p = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1445*d + 1514*d + 1443*d.\nAnswer: 4402*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3687593 to the nearest integer?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 40805252?\nAnswer: -40805252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-6) + 10\/15. Find p, given that 2\/3*p**2 + 0*p - 5\/3*p**3 - h*p**5 + 0 + 4\/3*p**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(130)\/sqrt(160) - (sqrt(39)\/sqrt(3) + -5)) + -3*(-5 + -3*sqrt(637)).\nAnswer: 21 + 249*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21 - -41. Let o(i) = 0*i - 2*i + 4*i - 9. Let n be o(7). What is the highest common divisor of a and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*g + 5*z = -140, 4*z - 159 + 218 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -11  (b) 0.5  (c) -16  (d) 43\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -561 + 1086. Suppose -4*g = -9*g + y. What is the highest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -5*n**3 - 193*n**2 - 46*n + 2506. What is h(-38)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.5 + 4.36. Let w = -2 + 8.04. Let h = w + x. Round h to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 69.6 * 1.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066 > 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1271907.\nAnswer: 3, 7, 13, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)\/(sqrt(12)\/(sqrt(10)\/sqrt(5) + sqrt(2))) + (sqrt(1053) + -2 - sqrt(117)*-2))**2.\nAnswer: -68*sqrt(13) + 3761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/13 - ((-111)\/962)\/(15594\/15576 - 1).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8568 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 - 3 = 27*t. Suppose t*b - 1088 = -2*j, 2*j + b = 1638 - 554. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101012021 (base 3) in base 4?\nAnswer: 1310020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/42  (b) -0.4  (c) -3  (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3825)\/(-63) + (8\/(-14))\/(-2). What is the first derivative of g*t**4 - 251 - 2*t**2 + 2*t**2 + 306 wrt t?\nAnswer: 244*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.5 - -7. Let p = -0.006 + 0.058. Let c = 2.052 - p. What is the closest to 1 in c, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (-3 + -19 + 14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 222260260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 9 = -3*x. Let n(p) = 4 - 116919*p + 116885*p - x. Let r(l) = 7*l**2. Give r(n(a)).\nAnswer: 8092*a**2 - 476*a + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4728*j + 2024*j + 169*j - 5654*j in the form t*j + d and give t.\nAnswer: -8189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -a**2\/6 - 43*a - 15857\/6 = 0?\nAnswer: -157, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 1 + 4)*(7 + 4 + 0)*(-3*a + 5*a + a) + a - 4*a + a to p + l*a and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8 + 18 - 7 - 9 + 4*i. Let f be -1*2\/6*-15. Let x be h(f). What is the greatest common divisor of 112 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + w**2 + (-4 + 4 + 2*w)*(2 - w - 2) + 0*w + 0*w - w**2)*(-4*w + 1 + 2*w - 10*w) to the form y*w**3 + b + c*w**2 + t*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.2 - -0.8. What is the second smallest value in -3, 5\/16, -3\/10, c, 0.3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7000*j - 7000*j + 17*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 5665575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g**3 - g**3 - 3*g**3 + (-1 + 2 - 3)*(-6*g**3 + 0*g**3 + 4*g**3) + (g**3 - 8*g**3 + 3*g**3)*(4 - 2 + 6).\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 63*t. Let d(h) = 21*h. Determine -14*d(n) + 4*p(n).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -583 + 583 + (2 - (-1 - 33)) - (-3 + 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**3 + w**2 + 3*w + 6. Let b be g(-2). Let m = 33 + b. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + 13. Let b = 45 - a. What is the lowest common multiple of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = 22*m - 17*m. Suppose 8 = 29*l - m*l. Solve -5*t = -t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/184 and -101\/5658.\nAnswer: 22632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 170301544 and 26005.\nAnswer: 5201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4017c (base 15) to base 2\nAnswer: 110001100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 217 - 103. Let r be 2\/(-12) - (-133)\/n. Let k be 2 + -1 - (-15 - -6). What is the greatest common divisor of k and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 80489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17982 is divided by 17963?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-1)**2 + 3 + -2*(sqrt(80))**2.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/425 and -62\/97325.\nAnswer: 97325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2 = -o + 5, 4*y + 21 = -3*o. Which is the smallest value?  (a) 0.3  (b) o  (c) -5  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 6)*(-4*j + j + j) + j - 3 + 3 + (2 - 1 + 0)*(-5*j - 2*j + 3*j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15237?\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -10, -2, 2, -7 in increasing order.\nAnswer: -10, -7, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o**3 + 66*o**2 - 121*o + 19. Calculate v(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*l + 3*q - 6*q, -4*q + 20 = 0. Solve l + 5 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 10*k + 24. List the prime factors of q(13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 745 and 221943\/298 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2303.8 + -2255.177. What is v rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14489 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 0, 0*t + 3*t - 2*q - 1965 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56177171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7109\/406 - -398\/29. Let t = n + 542\/35. What is the common denominator of t and 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 21\/(-84) - 22\/40 - (-322)\/315. Find s, given that a*s**2 + 10\/9*s**4 + 4\/9*s**5 + 8\/9*s**3 + 0*s + 0 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(-7)\/14*(-1)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2\/(-4))\/(625\/(-156) - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(2\/87)))**(-10))**42 assuming o is positive.\nAnswer: o**(-280\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 15*y**2 + y + 19. Let b be q(-15). Solve 3*c - 7 = -2*o, b*c - 3 = -o + 2*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-22)*y*y**6\/y*y)\/(y**(15\/7)*y\/(y*y**(-6)*y)) assuming y is positive.\nAnswer: y**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 11:57 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 509 - 147*q + 513 + 511 - 2036 + 504.\nAnswer: -147*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 + (10 - 1) + 30885\/(-5800) and (-1)\/(40\/(-274)) - 8\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from nmbbnbnnnbf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-430)\/35 + 9\/(252\/8). Let m be h\/2 - 1872\/(-306). What is the closest to -6 in m, 1, 5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*q + 5. Let y(t) = -3*t**2 + 3*t - 1. Give y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3591\/14 - 60\/24 is divided by 246.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 9:38 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2322 - -2332. Let y(r) = 3*r - 6. Let h(l) = l - 1. Determine d*h(m) - 2*y(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*m**3 + 2*m**2 + 283*m - 8432?\nAnswer: 51*m**2 + 4*m + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -11  (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -7, -5\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 5*j**5\/4 + j**2 + j - 29. Differentiate r(s) wrt s.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -540 - -286.1.\nAnswer: -253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**5 + 195*w**4 - 1775*w**3 - 3015*w**2 + 10600*w - 6000 = 0. What is w?\nAnswer: -3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1876 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18138 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r + r + 5*r + (3 + 2 - 3)*(3 - r - 3) to v + u*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 323, 340, 357?\n\"Answer: 17*c + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1120 and 6096160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -37\/2, 54, -2\/9, 0.1 in descending order.\nAnswer: 54, 3, 0.1, -2\/9, -2, -37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 19 = 19*s - 17*s, 51*f - 56*f + 73 = s for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(84) - 2*sqrt(84)*2 - (-2*sqrt(84)*5 - sqrt(84))))\/(sqrt(144)\/sqrt(588) + sqrt(108)\/sqrt(225)).\nAnswer: -140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4052*t - 4053*t + 16199*t - 4049*t - 4050*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + f + 649*f**3 + 13*f**4 - 649*f**3 as l*f + v*f**2 + p*f**4 + k*f**3 + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -6. Suppose 4*v - 7*v + 111 = z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 35997810*h**2 + 40274176?\nAnswer: 71995620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 18*q + 85. What is w(-8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h**2 - 3 + 3)*((h**2 - 1 + 1)*(-2 + 1 + 0) - 47 + 47 + 2*h**2) + 24*h**4 - 13*h**4 - 181*h**4 to i*h**3 + b*h**2 + s*h + c*h**4 + q and give c.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/22 + 28152\/(-506) + 33?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 209629476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kvukukovfxof. Give prob of picking 1 o, 1 u, and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*f - 1. Suppose -f*s - 5*x + 35 = 0, s + 34 = 6*s + 3*x. Suppose 5*m + 1450 = s*r, -4*r - 4*m + 1181 = -m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*j - 5*j = 202720. Let g = j + -2745. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, 797, 0.7, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1*8\/8)\/1. Let g be 132\/48 - (-2)\/(-8)*d. Solve 16 = -2*q - 2*l, l + 3*l = -g*q - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1475100\/32)\/15 + -3. Let q = -3058 + j. What is the common denominator of -5\/218 and q?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - 2\/2 - -2. Let d(z) = 2*z - 27. Let w(t) = 3*t - 41. Let y(p) = -8*d(p) + 5*w(p). Let x be y(11). Solve -v - m = -x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -815\/7 - -117. Which is the closest to 1?  (a) l  (b) 0.5  (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 368, 126, -44 in descending order.\nAnswer: 368, 126, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27312 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 30*g + 281 = 1721. Solve -10*k - 8 = -g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2284 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*k**3 - k + 9*k**3 - 7*k**3 - 2*k**2 - k to the form y + i*k + m*k**3 + n*k**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6296.124l?\nAnswer: 6296124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 1525663.\nAnswer: 1525664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/13)*k*k**(1\/2))\/(k**(-6\/17)\/(k\/((k*k**11)\/k))) assuming k is positive.\nAnswer: k**(-3533\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - ((-3)\/4 + 0). Let f = 11 + -8. Let d = 1 + -2. What is the closest to d in f, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -79276880 take away -4?\nAnswer: -79276876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*c + 92*c + 6 = -5*p, 3*c + 6 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*d + 72 = -16*d + 5*c + 25, 60 = 4*d + 4*c + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 5:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 125 and 6490.\nAnswer: 162250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5981 + -1.4019. What is the closest to -2 in 3\/4, -0.052, 1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-8) + 1\/(-2). Let p be (0 - 1)*2\/(-12). Let v = 7.8 + -8. Which is the closest to v?  (a) 0  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 1\/60*y**5 + 0*y**2 + 0 - 1\/2*y**3 + y - 3\/8*y**4. Let q(r) be the second derivative of g(r). What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*z**3 + 17*z**3 - 36*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5*x - 190 = 0, -5*n = 3*x - 60 - 114. Let f be 1 - (n\/(-3) - -2). Let p = -75 + 79. Solve 1 + f = p*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28 + 0*4\/4. Let h = 42 - k. Suppose -3*j + h = -1. Put 1, -3, j in decreasing order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 291 is divided by 61.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 5. Let l(f) = -f + 10. What is the smallest common multiple of l(0) and v\/(-2) + 165\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10  (b) -2.21  (c) 33  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1125 - -1581. Calculate the remainder when 2496\/7 - i\/798 is divided by 122.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 24 = 4*b, 1956*v - 1 = 1952*v + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1489\/3 + -497. Which is the second biggest value?  (a) m  (b) 0.1  (c) -8  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 26570 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 10:18 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 4*k**2 - 5*k - 3. Let t be v(4). Let g = t + 45. Let z = g + -21. Solve 0*w = -w + z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335 a factor of 898595625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s**3 - s**2 + 8*s. Let r be a(-1). Solve 2 + r = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 take away 2085.68?\nAnswer: -2085.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -15a0 (base 13) in base 9?\nAnswer: -4314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(x*x\/(x\/(x\/x**(-4))*x)*x)\/x*x*x*x**(-2)*x*x*x)**(-2\/35) assuming x is positive.\nAnswer: x**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4*k**2 + 5)*(-11*k + 17*k - 10*k - 2)*(-k + 0*k + 3*k) + 3*k**4 + 0 - 4 + 0.\nAnswer: -29*k**4 - 16*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4400\/(-385) + (-3)\/(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 595139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/(-4) + (-3 - (-6 - 2)). Is 59 a factor of ((-24)\/(-16) - j)*-1072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -4a3a241?\nAnswer: -4a3a239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 98 and 93 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 20*i. Let u(m) = 47*m**2 + 2. Give u(n(j)).\nAnswer: 18800*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - o**2 - 360000. Let q be l(0). Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**2 - 11*q**2 + 2*q - 4*q**2 + q**2 to the form t*q + m*q**2 + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 716728\nAnswer: 3583640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 PM and 5:48 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -340 - -106. Let a = -198 - d. What is the remainder when 59 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 75, 553, 1837, 4329, 8431?\n\"Answer: 67*f**3 + f**2 + 6*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 66*n - 62*n - 340. Let v = n + -84. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56778.\nAnswer: 2, 3, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 677983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2540\/6 - 56\/(-84). Let i = y - 2964\/7. Suppose 12\/7*o**3 - i*o**5 + 0 + 4\/7*o**2 - 8\/7*o - 4\/7*o**4 = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5333153261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2153 + 5048516\nAnswer: 5050669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5316810 is divided by 8426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176790 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77546649.\nAnswer: 3, 1987, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 4*n + 2*n)*((3*n**2 + 0*n**2 - 2*n**2)*(0*n + 2*n + 0*n) + 5*n**3 - 6*n**3 + 8*n**3).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j**2 + 2*j + 2. Let o be l(0). Suppose 5508 = 4*s - 4*f, 266 = -3*s - o*f + 4422. What are the prime factors of s?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -412*n + 1665 + 1343*n - 1665 + 387*n.\nAnswer: 1318*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 492455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/6  (b) 3  (c) -3  (d) 5  (e) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -59.9, 22?\nAnswer: -59.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10727\/11 - 975. Let s = -4.9 - 0.1. Which is the closest to 7?  (a) -1\/6  (b) s  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.663868 + 4.699. Let u = g + -0.035. Round u to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3 - w - 4*w + 7*w + w**2. Let k be c(-4). Solve 6*n - n = -k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y**3 - 7*y**2 - 39*y - 113. Calculate l(-4).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 63 and 1568761.\nAnswer: 98831943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**5 + 2*d**5 + 2*d**5 + (4 - 1 - 2)*(-4*d**5 + 0*d**5 + 2*d**5) - d**3 - d**5 + d**3 + 21*d**5 + 15*d**5 + 25*d**5.\nAnswer: 59*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 61 - 53. Suppose 0 = 5*a + r - 2*r + 26, -5*a - 2*r - w = 0. Let c be (2\/a*0)\/(-1). Solve c*f = -3*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - z = -4, 3*v - 2*v - 3*z = 14. Suppose -v*l = 4*x + 6662 - 25476, -2*x + 18814 = 2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f2 - 3?\nAnswer: -f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1112714 or 1112731?\nAnswer: 1112731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, t: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -302\/305 - -1118417\/1830. Let v = l - 598. Find the common denominator of -97\/4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 71789012 = 5*i, 3*i - i = -4*s + 28715608. Suppose 2*r - 3442198 = i. What is r rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**2 - 3676*c - 1868*c - 1276802 + 4170*c - 1822*c = 0. What is c?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.560762 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19\/618 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67995622 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 181 = -595. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 15 - 3. What is the second derivative of -w + 2*w**3 - 2*w**3 + w**4 + r*w**4 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1848 (base 9) to base 14\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of 4*a**6\/15 - a**4\/4 - 17*a. Find the third derivative of t(i) wrt i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/4 - (-54)\/40. Let u be -3 - (-2 + 3)*-3. Which is the biggest value?  (a) u  (b) 2\/3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jojotjdtoj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 2*y + 2*y)*(-2 - 2 + 3)*(-2 - 1 + 5) + (2*y + 3*y - 4*y)*(1 + 0 + 0).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1839, 7145, 15997, 28401, 44363, 63889?\n\"Answer: q**3 + 1767*q**2 - 2*q + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 - 23. Suppose -2*j + 7 = 5*m, y*m - 5*j + 10 = 42. Let l(c) = -c**3 + 3*c**2 + 1. Let q be l(2). Solve -2*i + q*d + 19 = 0, 3*i + d - m*d = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 25932, -33 in decreasing order.\nAnswer: 25932, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 + -47.96. Let c = k + 0.04. Let v = c - 0.08. What is the nearest to -1 in v, -2\/5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160 + -51260.6306\nAnswer: -51100.6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2002164 divided by -333694?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-27)\/(-117)*(-2)\/4. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 3. Let h = -6 - u. Let w = h - 0. What is the third smallest value in -1, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 + 0. Suppose -2*h = 4*r - 62, 2*h + 3*h = r - i. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -267373 take away 56?\nAnswer: -267429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22*h**3*k**2 + 176*h**3 + 2*k**4 wrt k?\nAnswer: -44*h**3*k + 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g - 16. Let m be s(6). Let n(c) be the first derivative of -c**4\/4 + c**3 - 2*c**2 + 3*c + 2. What is n(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -1 + 1 - q**2 - 1. Let g(p) = 2*p**2 + p + 2. Let d(r) = 6*g(r) + 13*i(r). List the prime factors of d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12562042562 and -0.25.\nAnswer: -12562042562.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29038192?\nAnswer: 2, 37, 181, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 5*f = -93, 2*f - 107 = -5*g + 5*f. Suppose -11*d = 1688 - 5285. Suppose -5*c + 73 + d = 0. Calculate the lowest common multiple of g and c.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 452545699.\nAnswer: 1433, 315803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 58.02 + -63.4. Let i = 5 + a. Let t = 0.38000037 + i. Round t to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 65 - 64.67. Let u = 1.25 + a. Round u to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/(i\/(i**(-12)\/i)))**(-12\/7))**(-2\/3))**(-2\/83))**4 assuming i is positive.\nAnswer: i**(832\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1440 = 186*w - 66*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 521321.56 + -18\nAnswer: 521303.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cylylecw. Give prob of sequence yy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -110031?\nAnswer: -110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 2*z + 14, -a = 34*z - 35*z + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -184, 2, -10, 476, 1\/4 in descending order.\nAnswer: 476, 2, 1\/4, 2\/9, -10, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*h + 1, 3*h - 27 = -2*f - 2*f. Suppose 0 = -4*o + 2*o - f. Is 14 a factor of o\/((6\/80)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -451518 = -51*i - 452283 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1493812 or 1493863?\nAnswer: 1493812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -2, -8 in ascending order.\nAnswer: -8, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/9)\/(-2*(-5)\/(-45)). Suppose 13 - 1 = w*q. Let 20\/3*v**2 + 8\/3*v**3 - 8*v**q + 10\/3*v**5 + 4\/3 - 6*v = 0. What is v?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/24 or -3078?\nAnswer: -3078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.74036 + 1.751. What is u rounded to 4 dps?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (181 - 177) + -142 + (-1 - -36).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -458000, -457913, -457840, -457787, -457760, -457765, -457808?\nAnswer: -457895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 73 - -71. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y - 2*y - 2*y + (-2 + 0 + 5)*(4*y + y - 6*y) + (4631 + 83*y - 4631)*(-5 + 4 + 0)*(1 + 2 - 1).\nAnswer: -171*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/10, -155, -2, 4\/3?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 1:26 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-662)\/1*(-3 - ((-234)\/(-12) - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43 or 1.6?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -111113.1 + 111113. Let f = -6 + 4. Sort -4, j, -1.4, f in decreasing order.\nAnswer: j, -1.4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -487442731 at least -487442732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18516978*i**3 + 18520260*i**3 + 2*i**2 - 2*i**2.\nAnswer: 3282*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -298*p**3 - p. Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*v + v - 4*v + (-5*v - v + 4*v)*(5 + 3 + 4) + ((3 - 3 - 4)*(-2 + 1 + 0) - 4 - 1 + 7)*(0*v - 2*v + v).\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -u**4\/24 - u**3\/2 + 2*u**2. Let x(t) = 1. Let h(y) = -i(y) - 3*x(y). Let d(q) = 0*q**2 + 3*q**2 + 2*q**2. Determine h(d(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 6*x**2 - 6*x - 3. Let u be h(-6). Suppose -u = f - 4*f. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**4 - 32 + 31 - 5*j + j**3 + 2*j**2 + j**4 as u*j**4 + m + l*j**2 + q*j**3 + y*j and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**10*q)\/q*q*(q**(2\/13)\/q)\/q assuming q is positive.\nAnswer: q**(119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 18 - 21 - ((-1 - 0) + -8). Let f(z) = -9*z + 58. Let v be f(y). Solve 4*j + 8 = -v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 2*y - 28. Calculate g(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 11*b**2 + 7. Let o be p(-11). Let n(f) = f**3 - 6*f**2 - 6*f + 4. Determine n(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, h: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b*c**2*j - 10316*b*c**2 - 11*b*c*j + 604230*c**2*j - c**2 wrt b.\nAnswer: 3*c**2*j - 10316*c**2 - 11*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01148 to 4 dps.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, q: 1, u: 1, m: 1}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**4*v**3 + 1173690*i**2*v**3 - 1020*i*v**2 - 2*v**3 + 124*v + 13 wrt i?\nAnswer: 12*i**2*v**3 + 2347380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -422, -418, -414, -410, -406?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1654 = 301*h - 1955*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**3 + i**2 - 3 + 8*i**4 + i**2 - 6*i**4 in the form s*i + z*i**3 + n*i**4 + j + r*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/608 and -7\/4408?\nAnswer: 17632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -6*u. Let o(t) = -311*t. Give o(x(q)).\nAnswer: 1866*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 4*m + 23, -4*m - 28 = -w + m. Let b = -5 + -4. Let z = -7 - b. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(176)*6 + sqrt(176))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 369 - 193. Let j = y - 125. Determine a so that -5*a**2 + j*a - 97*a + 20 + 31*a = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 3*w**2 + 12*w. What is k(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52225\/4406 at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2429767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 52 = 4*z, 8*z - 4*z - 67 = j. What is the remainder when 465\/10 - 2\/4 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*f*q**3*s**3 - 7*f*q**3*s**2 + 3*f*q**2*s**3 - 161*f*q*s wrt q.\nAnswer: 102*f*s**3 - 42*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1142 and 2803713922.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - p + 12, -3 = -t - 2*t + 2*p. Suppose 0 = -5*q - 7*k + t*k - 16, 0 = 3*q - k + 13. Let s = 7 + -4. What is the nearest to s in 2, -1, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*n**4*r - n**4 + 23*n**3*r + 6*n**3 + 2*n**2 + 41*n*r + 7*n - 2*r wrt n?\nAnswer: 72*n*r - 24*n + 138*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 - 98*l**2 + 47*l + 457. What is m(-33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 441937392 to the nearest ten thousand.\nAnswer: 441940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-14))\/((43\/172)\/(-1)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 21. Suppose 38 = -m - 5*w, 2*m + 5*w + 45 + 21 = 0. Let z(n) = -n**2 - 30*n - 56. Let o be z(m). Calculate c(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1047 (base 8) to base 5\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2912315437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2, -3*g - 3*q = -7*q - 10. Suppose 1 = 3*m - g. Let i = -4 + 7. Which is the closest to 0.1?  (a) 0  (b) m  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -53 and -549.\nAnswer: 29097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 23  (b) -1.05  (c) -2  (d) 2\/75  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 3. Let z(u) = u**3 - 4*u + 3. Let c be z(3). Let q = d + c. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 = -4*h + 4*a - 95, -154 = -5*h + a. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/11 or 1.225?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*f + 141 = -489. Are f and -2\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17572 divided by -4393.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -823*u**2 + 1427 - 1429 + 826*u**2 + 50*u.\nAnswer: 3*u**2 + 50*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318776 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/6, -1\/2, 9923 in increasing order.\nAnswer: -5\/6, -1\/2, 9923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 18 = -2*q + 5*q, -28 = -2*q + 4*o. Find the third derivative of q*g**4 - 8*g**4 - g**6 + g**2 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 10*m**2 + m - 1. Let z be g(1). Let t(v) = 2*v - 15. Let r be t(z). Let u(i) = -i + r*i**2 + i + i**3 - 1 - 2*i. Calculate u(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 492 smaller than 9366\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4407, 4741, 5075, 5409, 5743?\n\"Answer: 334*a + 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyooyooy. Give prob of sequence oo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 274359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 14 = 2*h. Suppose -2*d - 4*s = h, -5*s - 10 = d - 0*s. Suppose d*v = 4*v - 260. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13513, -13520, -13527, -13534, -13541, -13548?\nAnswer: -13555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*z**3 + 2 - 58520*z + 58518*z + z**4 - 3*z**4 + 5*z**2 to the form a*z**4 + n*z + y + k*z**3 + f*z**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 z when four letters picked without replacement from zzizrrziiirrrzry?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1805 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 5*z - 7. Give x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1026644858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (256\/(-56))\/8*1127\/(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yvvy when four letters picked without replacement from {y: 2, v: 2, c: 1, m: 1, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2037119?\nAnswer: 7, 233, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u - 4. Let k be l(6). Let q(j) = -5*j**2 - 2*j + 3*j**k + 2*j. Let w(t) = 5*t**2. What is q(w(v))?\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 258*t + 2*t + 23*t to the form r + v*t and give v.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 361 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.4 - -7.4. What is the closest to -2\/13 in -0.4, 2\/13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -167\/6708 and -5\/344?\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/217 and -53\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (31 - 4 - 38) - -33.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.5, -2\/3, -17\/4, -0.2, -0.313, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**3 + 14438*v**2 - 28870*v + 14434 = 0 for v.\nAnswer: 1, 7217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*((-11)\/(-9) - 38\/171). What is the third derivative of -22*s**5 - 20*s**6 + 22*s**5 - m*s**2 + 5*s**6 wrt s?\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c6d + -4?\nAnswer: c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4973 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18759)\/(-1924)*(-2)\/(-66)*-1. Suppose 0 = 2*g - 3*g. Is g greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(52\/65) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 691120.\nAnswer: 2, 5, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -715*g**3 + g**2 + 831?\nAnswer: -2145*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {m: 7, h: 9, t: 2}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -0.3  (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 2 - 2)*(-4 + 4 + 1) - 3 + 5 + 0 + 2 + 1 + 0)*(2 - 1 + 0)*(3*g - 3*g - 2*g**2).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-32)\/(-40))\/((-7)\/70) + 40\/24 + 11.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11324433001 (base 5) in base 6?\nAnswer: -1145143502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/1036 and -83\/177491220?\nAnswer: 1242438540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 728*j + 5053. Let m be r(7). Let k(v) = -6*v**2 + 35*v - 16. Give k(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63, -113, -163, -213, -263?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of 23*s**5\/60 + s**4\/6 - 13*s**3\/6 - 2*s**2 + 1. Calculate the remainder when j(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124 divided by -24?\nAnswer: -281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.02  (b) -5  (c) 3  (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -2.68?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**4 - 5*y**3 - 3*y**2 + 8*y + 4 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k**4\/4 - k**2\/2 + k. Let x be 152\/(-950)*25\/(-2). Give r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2427135 divided by -485427?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224, -232, -240, -248, -256, -264?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from riywz. Give prob of sequence wi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 267269314465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**5*m**2 - 2915*c**3*m**2 + 329*c*m**2 + 44*m**2 wrt c?\nAnswer: 20*c**3*m**2 - 17490*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2940\/40)\/7*(-14)\/21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 812 a factor of 2977604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000392 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1, 2\/3, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-15) - (-616)\/330. Let d(x) be the first derivative of 0*x**4 + x**5 + 0*x - u*x**3 + 0*x**2 + 11. Find the third derivative of d(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 553833?\nAnswer: -55383.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 5\/(-3) + 36\/(-27). Let s be (-1)\/(z\/(-4))*38\/95. Which is the fourth biggest value?  (a) -4  (b) s  (c) -1\/2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = -3*x - 5*l + 394505, 0 = l - 1. Round x to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 308*c**6*p**2 + 76094*c**3*p**3 - 111*c**2*p**2 - 55*c**2*p + 1073*c*p**3 wrt c.\nAnswer: 36960*c**3*p**2 + 456564*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 638 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 8*w + 29. Let c(m) = 23*m + 86. Let i(a) = 6*c(a) - 17*g(a). Let x be i(-9). Solve -j = -x*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 7*l**2 + 4*l**2 - 20 to the form n*l**2 + g*l + u and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 214087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**2 + 14*j**2 - 12*j**2 - 34*j.\nAnswer: -3*j**2 - 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 498 = -186. Let h = s + 81. Let a = h + -105. Which is smaller: -9 or a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f - 2624. Let t(p) = -2*p**2. Give t(y(u)).\nAnswer: -8*u**2 - 20992*u - 13770752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 0 + -2 + 3 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*p + 8*p. Let k = -49 - -66. Suppose -19*y = -k*y - 6. Solve -y*l + 4*x = 9, -p*l - 5*x + 7 = 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1\/3  (b) 2  (c) -0.27  (d) -104  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 564*y**3 - 562*y**3 + 2*y**2 + 2 - 2 + 2. Let x(p) = p**2 - 4*p + 1. Let v be x(3). What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 1:28 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 1\/29, 10670.7 in descending order.\nAnswer: 10670.7, 2\/7, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 38. Let v(u) = -u + 37. Determine -6*s(m) + 5*v(m).\nAnswer: -5*m - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*(k*k**(-1\/4))\/k*k)\/k*k)**6*(k**(-2\/5))**(-1))**(-1\/8))**(-28) assuming k is positive.\nAnswer: k**(763\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18*5\/6*(-36)\/90. Let u be (6\/8)\/(b\/288). Is -35 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*s - 381436 = -69*s. Suppose -3*v = -3*c - 2*v + s, 4*c - v = 46234. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)\/t*t**(-1)\/t)\/((t*t\/(t**(3\/4)\/t))\/t*t**(-9)) assuming t is positive.\nAnswer: t**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*o**5 + 9686*o**4 - 2214694*o**3 - 897118*o**2 + 2214704*o + 887432 = 0. What is o?\nAnswer: -1, -2\/5, 1, 371, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 171155120 divided by 2512?\nAnswer: 68135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 510*f**3 + 10*f + 11. Let t(c) = -c**3 - 1. Let u(g) = -o(g) - 3*t(g). What is the units digit of u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 - 2\/6*-3. List the prime factors of -1*(3 + o)\/1 - -116.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.5, 334, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 66528495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 0.13, 5, 4, -438, -5\/3 in increasing order.\nAnswer: -438, -9, -5\/3, 0.13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in 5.4, 28, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 4*t**2 + 792*t + 1568 = 0?\nAnswer: -196, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3932.393 + -3930. What is a rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13975775 rounded to the nearest ten thousand?\nAnswer: 13980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-10) + (-9)\/6. List the prime factors of ((-1)\/c)\/((-8)\/(-3184)).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 8 - 8)*(-r**3 + 4*r**2 - 4*r**2)*(-1 + 1 + r + (3 - 2 + 1)*(5*r - 4*r - 3*r) + 1 - 1 + r + 3*r - 3*r - 3*r).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 452919, 1811560, 4075919, 7245996, 11321791?\nAnswer: 16303304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 10*v**2 - 13*v - 29. What is the tens digit of i(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1. Let l(d) = -1. Let y(n) = -2*i(n) + l(n). Let s(v) = -2*v**2 + 2*v + 4. Calculate -s(j) + 4*y(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/9 - 340*l\/3 + 51152\/9.\nAnswer: -2*(l - 46)*(l + 556)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.11348 and 5003.11?\nAnswer: 5003.22348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - (-13 + (10 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31827 and 97.\nAnswer: 3087219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 204*m**4*w - 371*m**3*w + 16*m**2*w + 4*m**2 + 11*m*w - 95*w wrt m.\nAnswer: 4896*m*w - 2226*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -452 + 477. Let m be 4 - (u\/5 + -12). Solve -3*j + 4 + m = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(1 + 0) - 8. Let f(t) = 3*t**3 - 7*t**2 + 7*t + 5. Let z(h) = -2*h**3 + 4*h**2 - 4*h - 3. Suppose -28 - 36 = 16*l. Give l*f(u) + x*z(u).\nAnswer: 2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -4, -1, 1 in decreasing order.\nAnswer: 1, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -868 = 35*o - 133 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -2*4\/(-160) + (-3354163)\/(-1940)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwmm. Give prob of picking 2 w.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 9*a + 2. Let h(s) = -1. Let r(c) = c - 5. Let l(o) = -5*h(o) + r(o). Calculate i(l(z)).\nAnswer: 9*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 791405 and 63080?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.7 - 11.7. Which is the nearest to 2\/3?  (a) 4  (b) -0.2  (c) w  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**3\/10 + 178475*o**2\/2 - 1784756*o\/5 + 1784758\/5 = 0.\nAnswer: -892379, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.24*8.75.\nAnswer: 45.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/60 and (-245)\/10*(10\/(-45))\/(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + 43 + -43.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*p**2 + 15*p**2 - 3*p**2)*(3*p + 0*p - 2*p) + (-1 + 7*p + 1)*(4*p**2 + p**2 - 4*p**2) as b + f*p + l*p**2 + x*p**3 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 4\/3*y**3 - 50*y**2 + 1\/90*y**5 + 0*y + 0 - 13\/36*y**4. Factor t(c).\nAnswer: 2*(c - 12)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 135\/36 - (-225)\/(-100)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 832, -7, 3 in decreasing order.\nAnswer: 832, 5, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-204)\/33 - (-2)\/11)*-1. Suppose -44 = -8*x + a*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1074314094 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2010202021202 (base 3) in base 6?\nAnswer: -40210332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 5*s - 486 = 0, -3*a + 4*s + 465 = 2*s. Suppose -a*b = -153*b - 196. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1540701 and 414?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13641301393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -5*o + 4*l, 2*o + 39 + 14 - 3 = 5*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 396 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 17.611 * 1\nAnswer: 17.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*h + 30 = 0. Let x(u) be the third derivative of 0 - 7\/6*u**3 + 32*u**2 + 0*u + 1\/12*u**4 - 1\/10*u**5 + 1\/120*u**6. Give x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 2*q + 3. Suppose -a - a = q*b - 15, -9 = 2*a - 5*b. Let o be 37\/(-2*a\/(-6)). Solve -5*i + 5*v - o + 7 = 0, -19 = 4*i + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 3 + 3 + (h + 0*h + h)*(-2 + 6 - 2))*(25 + 0 + 84).\nAnswer: 654*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(4\/5)*n*n**(-4\/3))\/(n**(3\/5)*n\/(n*n*n**(2\/3)*n)))\/((n\/(n*n*n**(1\/8)*n)*n)\/(n*n\/n**(-1\/5)*n))**(-17) assuming n is positive.\nAnswer: n**(-8399\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h + 12. Calculate d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -310220000 to the nearest one million.\nAnswer: -310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -6. Let i = 2 + r. Let a be -7 + 12 + (-259)\/49. What is the closest to i in -1, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 11846133?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 209 + -207. Put u, 5, -1, 3 in descending order.\nAnswer: 5, 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 5*d**2 - 8*d + 7. Let j be r(6). Let f(a) = -5*a - 7. What are the prime factors of f(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((0 + sqrt(704))**2 + -4).\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, s: 3, q: 7, a: 4, t: 1}. What is prob of picking 2 m and 1 s?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*h + 12773 - 1853 = 0. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*n - n + 2*n)*(1 - 6 + 1) + 16*n + 12*n - 6*n + 1 as x*n + t and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-4))\/((-5)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1714.09 * 0.314\nAnswer: 538.22426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 307*k*x + 276*k wrt x?\nAnswer: 307*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 24304077 - -18397\nAnswer: 24322474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 7 + -9 + -1 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 6. Let a(g) = -g**2 - g + 24. Determine -2*a(h) + 9*f(h).\nAnswer: 2*h**2 + 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 divided by 3763529?\nAnswer: 162\/3763529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j**2 - 24*j - 11. Let l(h) = -h. Let c(r) = 3*l(r) + u(r). Let s(w) be the first derivative of c(w). Find the first derivative of s(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 5121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 46671, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/491163 or -1?\nAnswer: 1\/491163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - q = 40. Let u = q - -12. What is the second derivative of -5*r + 5*r**2 + 5*r**2 - r**2 - 4*r**u wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -6*x**2. Let u(l) = -2*l**2 - 5*l - 5. Let b(g) = 2*g**2 + 6*g + 6. Let p(z) = 5*b(z) + 6*u(z). Determine p(h(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -95.2301455 rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 111 = -726. Suppose 2*c - c - 3*i = 591, c - r = -5*i. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 561  (b) 2\/7  (c) 5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 2) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1 + sqrt(720))*3)**2.\nAnswer: -432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -215 * -27.6122\nAnswer: 5936.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-126))\/((-4)\/(-14))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmzmmmmmmzmv. Give prob of sequence zm.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/10)\/((-420)\/200).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c + 7. Let a(d) = d**2 - 5*d + 10. Let u be a(4). What is v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 526 divided by 2\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 8 = 4*d, 4*d - 22 = 5*i - 3. Let u be (d\/((-2)\/36))\/(-2). Solve -3*o + x = u, 2*o = 3*x + 2*x + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -245 - -246. Solve 5*w + 11 = -4*j, -4*j - 16 = w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6870 and 290?\nAnswer: 199230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -138?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 113822*h**3 + 2*h**2 - 2*h + 1. Let v be g(1). Let m be 184936\/(-6) - 2\/6. Let b = v + m. What is b rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 2*c**2 - c - 4. Let h be g(3). Suppose 29 = 5*q + 4*o, q + 13 = 3*q + 3*o. Suppose -q*p = -h*p - 6. Solve -1 = i + p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5712556 millennia to decades.\nAnswer: 57.12556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16276 - 16510. Is -3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98, -198, -298, -398, -498, -598?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19629393*b + 9814966*b + 9814430*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17555197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -s**5\/5 + 76*s**4\/5 - 681*s**3\/5 - 8290*s**2 + 266084*s\/5 + 6523272\/5 = 0.\nAnswer: -14, 18, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 99.3 and 3.3448?\nAnswer: 332.13864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 12) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2799 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/(-169) - 57\/117\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/64 and -3 + (11 - 5 - 249\/(-18)).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 - 65 = -23*y. Sort 4, y, 2, 5.\nAnswer: y, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -433*s + 427*s = -54. Is (s + -2 - 10) + -2 + 12136 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85*z**6 - 10*z**5 + 3*z**4 + 956*z**2 + 2.\nAnswer: -10200*z**3 - 600*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**3 + z**2 + z - 1. Let g be a(1). Suppose -21 = 4*w - g. Let p(l) = -15*l**2 + 6*l**3 - l**3 + 10*l**2 + 4 - 4*l - 6*l**3. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7249.143 weeks?\nAnswer: 4384281686400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 + 62 + (-27)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -33*b**2. Let x(c) = -15*c**2 + 621*c. What is x(i(t))?\nAnswer: -16335*t**4 - 20493*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and 0.104052.\nAnswer: 1.104052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, f: 2, r: 3}. What is prob of picking 3 r and 1 l?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2 - 1 - 10*z - 1. Let t(h) = 55 + h - 55. What is t(s(m))?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51554.\nAnswer: 2, 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25028 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2 - 115018*d - 690072 = 0. What is d?\nAnswer: -115012, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 14. Let u(p) = -10*p - 1. Let c be u(-2). Suppose -c + 17 = -q. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*w - 7*w. Let m(h) = h**3 - h**2 - h + 1. Let p be m(w). Suppose 0 = -t + p*o + 63, 0*o = t + o - 51. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*i - 11*i = 2*u - 6, -16 = 4*i - 2*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 6881.\nAnswer: 20643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/2184 and 151\/156.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 65959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 30626456 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 1745*t - 1735*t. Are 209\/35 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -7, -2, 0.2, -43, 2 in descending order.\nAnswer: 5, 2, 0.2, -2, -7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 + -3 - 58) + -9.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -28*n - 23*n + n**3 + 47*n + 2 + 5*n**2. Let u(i) = i - 9. Let h be u(5). Is l(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 28*u**2 + 2*u - 47. Let p be j(28). Put 1, -4, p, 0 in descending order.\nAnswer: p, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -1. Let v(j) = -7*j + 10. Let c(y) = -2*a(y) - v(y). Let d(h) = -20*h + 23. Calculate 17*c(f) + 6*d(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {r: 3, k: 2, p: 4, m: 4, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 12) to base 4.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -48438*a**2*c**2 + 1390*a**2*c*n**2 - 2*a**2*c*n + 34*a*c**2*n**3 - a*c**2 + 6*a*c*n**2 + 3*a*n**3 + 12*c*n**3 wrt c?\nAnswer: -96876*a**2 + 68*a*n**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -2. Suppose 3*b + 6 = -4*j + 24, 1 = -4*b + h*j. Suppose 8*k + b = -r + 3*k, 0 = -4*r - k + 11. Solve -d - r*n - 8 = 0, -4*d - 4 = -0*d + 5*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - 10.6. Let o = p + 0.2. Let c = o - 2.54. Round c to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175\/28 + 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1952 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571363?\nAnswer: 13, 43951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -2\/6673, -1086\/7, -0.5?\nAnswer: -2\/6673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -5*w - 3, -4*z + w + 6 + 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 5*u + 45, -5*f + 4*u + 20 = -f. Suppose -5*p + v = -23, 0 = 5*p - 3*v - 7 - 22. What is the remainder when f is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*m - 472*m + 7956 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/7))**24\/((v\/v**(-6))\/v**5) assuming v is positive.\nAnswer: v**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 2*j + 9*j + 13 = -2*a, 5*a = -155*j + 152*j - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 71 + 183 = 0. Suppose 5*r + 4*k - x = -30, k + 67 = 5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-216)*9*-12 - (-17)\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2864824, -2864823, -2864822?\n\"Answer: b - 2864825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 15*v - 274. Let h be p(42). Let n = -353 + h. Which is the third biggest value?  (a) n  (b) -8  (c) 0.1  (d) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*s - 4 = 0, h + s = -s - 1. Suppose i - 3*z = -0*i + 52, 5*i - h*z = 210. Suppose 505 = i*r - 38*r. Round r to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 12*w**2 + w. Let b(i) = 2743*i**2 - 4*i. Calculate b(q) + 4*c(q).\nAnswer: 2791*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, x: 3}. Give prob of picking 3 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 756\/(-20) + (0 - -2). Let n = 36 + w. Let y = -103 + 101. What is the third smallest value in n, y, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yogbbpgbygeg. Give prob of sequence yp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19615829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 0*p + 0*p**3 - 11\/60*p**6 + 0 + 0*p**4 - 23*p**2 + 1\/4*p**5. Find the third derivative of t(b) wrt b.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 + 3*a**2 + a**2 + a - 3*a + a**3.\nAnswer: a*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649873 is divided by 258?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*d = 2*x - 21, -3*x = d + 1. Let q be x - (-1 - (-1 - -3)). Which is the third smallest value?  (a) -2  (b) 5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.32 times 0.0288\nAnswer: -0.354816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*h - 2*h. Suppose 0 = q - h - 2. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4521870796.\nAnswer: 2, 257, 4398707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of 0 + 1\/3*n**3 + 4*n**2 - 1\/24*n**4 + 0*n + 1\/60*n**5. Is z(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(2\/3)*i)\/(i*(((i\/(i\/(((i*i**1\/i)\/i)\/i*i))*i)\/i)\/i)\/i)*i**16\/(i**(-20)*i) assuming i is positive.\nAnswer: i**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*q**4 + 352*q**3 - 2*q - 14330?\nAnswer: 12*q**3 + 1056*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = -2*u - 2*i, 5*u = -5*i + 5. Suppose 3*t + u*t = 12. Let r = 38 + -42. Which is the second biggest value?  (a) r  (b) t  (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 251 - 1\/(-1 - 3\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 10:13 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 710. Let v be j(0). Let o be v\/15 + 6\/9. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 13*a - 9. Let m(c) = -13*c + 10. Suppose 6 = 3*o - 2*d - 14, 0 = 5*o - 3*d - 33. Let s(l) = o*w(l) + 5*m(l). Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gmggmg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/5 - 306*j**2\/5 + 1016*j\/5 + 57984\/5.\nAnswer: (j - 302)*(j - 16)*(j + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2172 is divided by 449?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -31. Suppose -4*j + 2*r - 8 = -2*r, -j + 6 = -5*r. Let t be 9\/j*(-144)\/4. Calculate the highest common divisor of t and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.328 less than 3?\nAnswer: -8.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 0*k - 3*d = -162, 2*k = 2*d + 88. Let h(l) = k - l + 34 - 72. Give h(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-136533672.\nAnswer: 273067344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2768057, -5536116, -8304175, -11072234, -13840293, -16608352?\nAnswer: -19376411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 7*j**2 - j - 5. Let i be u(-7). Let v be (i - 0)*(-4 + 5). Factor 0*m + 0 - 1\/3*m**v.\nAnswer: -m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2327\/2 - -11511\/10. Find the common denominator of b and -97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 2 - (-7 + -6). Suppose -6*r = -8*r + q. Solve r*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 889.17609 + -880.69. Let k = -8.49 + u. 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: Let m = 1 + 2. Suppose q + 3 = 3*o - 5, -m*q + 36 = 3*o. Suppose 2*k - 2 = 12. What is the greatest common divisor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*f + 75*f - 52*f + 13*f + 2268 = 0 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36) + (sqrt(108)*3)\/sqrt(3))\/sqrt(12)*-3 - (-2 + -2*sqrt(363) + 3).\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/1440 and ((-1215)\/(-1650))\/81*178\/32?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 20*t**2 - 129*t + 16. Let j be a(-25). What is the highest common factor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -u - 3*o, -5*u - o + 5 = o. Put -27, u, -1 in descending order.\nAnswer: u, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-4))\/(4\/16). Let r(l) be the third derivative of 0*l + 1\/120*l**6 + 0 - 2*l**2 + 1\/6*l**4 + 1\/2*l**3 - 1\/10*l**5. What is r(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16822 is divided by 16743.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 38  (b) -10  (c) 3\/4  (d) 0.5  (e) -37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 6. Let m(h) be the first derivative of -h**2 - 62. What is q(m(x))?\nAnswer: 4*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/3720 and ((-21)\/4 - (-5)\/4)*(-5)\/(-930)?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.09299957 + 0.093. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(180)*-5)\/(sqrt(576) + 4*1*sqrt(576) + sqrt(576) + sqrt(576)).\nAnswer: 5*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 3*k**5\/5 - 71*k**4\/16 + 133*k**3\/12 - 89*k**2\/8 + 15*k\/4 - 11537. Solve l(v) = 0 for v.\nAnswer: 1\/4, 1, 5\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*k - 35*k + 5. Is 12 a factor of k\/(-5) - (24492\/20)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 600 and 3480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*v**2 + 5*v**2 - 2*v**2)*(-v - 3*v + 3*v) + 20*v**3 + 2*v**2 - v**2 - 3*v**2 to t*v + d*v**2 + y*v**3 + q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**5\/7 - 844664*g**4\/7 + 89181314260*g**3\/7 + 178442872520*g**2\/7 - 8115727674582*g\/7 + 7848104332464\/7 = 0.\nAnswer: -11, 1, 8, 211167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 53 - 54?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2751, -10944, -24583, -43662, -68175, -98116, -133479?\nAnswer: -174258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/6)\/(-2*(-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l**2 + 3*l + 3. What is d(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 62 + -30 + -21 - -40?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -3\/7  (b) -5  (c) -5\/12  (d) 405  (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 6, -3, -16, -33?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/12 + 1)*-3. Suppose 0 = -b*r + 22 - 0. Suppose -r - 73 = -3*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2148 and 9479840?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 746421.2nm?\nAnswer: 0.0007464212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 32\/240 + (-534)\/(-45)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t + 139 + 133 = 0. Calculate the remainder when 28 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**4\/2 - 3*s**3 + 9*s**2\/2 - 2*s - 11. Let q = -2 + 8. Let b be n(q). Calculate the greatest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 7*q + 7. Calculate i(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 5:02 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u + 35 + 33 = 0. Let g(n) = 3*n**2 - 14*n - 2. Let s(p) = -2*p**2 + 12*p + 2. Let b(i) = u*g(i) - 5*s(i). Let b(h) = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -832.3 and 73072293112.\nAnswer: 73072292279.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5196372 and 38076.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1236965.0529491 + -1236965.8. Let h = 1749.253 - 1750. Let p = h - v. Round p to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-33 + 54 - 56)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from {q: 1, s: 2, d: 5, j: 2, g: 1, x: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -8346.1.\nAnswer: -33384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g**0)\/g)**(39\/2)*g*g\/(g*g*g*g**(-1\/4)\/g*g*g)*g**(-1\/5)*((g**(1\/2))**(-2\/39))**(2\/15) assuming g is positive.\nAnswer: g**(41059\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2*(34\/(-12))\/(-17))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17\/89 + 5404\/801. Let x be 1 + 2\/(-352) + -1. Let f = -441\/176 - x. What is the common denominator of r and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttthttxkk. Give prob of picking 1 x, 1 k, and 1 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 12, y: 3, b: 2}. Give prob of sequence mbby.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 211 + -210.179. Let a = z + -0.87. Let s = 0.055 + a. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/813 and 46\/3?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 6*k**2 - 13*k - 8. Does 25 divide d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)\/(v*v**(-1\/2)))\/(v**0*v)**38 assuming v is positive.\nAnswer: v**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -w + 5*m - 19, -5*w - m = 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 - 2*b + 2*b + (3*b + b - 5*b)*(4*b - 3*b - 2*b) - 2*b**2 + 0 + 0 - b + b - 2*b**2)*(2*b**3 - 5*b**3 + b**3).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k**3 + 14*k - 2*k - 27*k**3.\nAnswer: -33*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 - 14*j + 2. List the prime factors of q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39663853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, z: 3, r: 1}. What is prob of picking 1 l and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 681794.\nAnswer: 2, 340897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2743 + 2537 + 174 + 99)*(1 - 2 - 1)*(-2*y + 0 + 0).\nAnswer: 22212*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-30)*t*t*(t*t*t\/t**(-2\/43)*t)\/t*t**2*((t*t\/t**(-15))\/t)\/t assuming t is positive.\nAnswer: t**(-342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -49*l**3\/5 - 54908*l**2 + 313808*l\/5 - 89664\/5 = 0.\nAnswer: -5604, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 25 = 5*v, -110*m + 113*m = 4*v - 15. Let 2*p**4 + 2*p**3 + 2\/3*p**2 + v*p + 2\/3*p**5 + 0 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -7*w**2 - 3*w + 3. Let u be l(1). Let n(x) = -x**3 - x - 3*x**2 + x**2 + 7 - 5*x**2. What are the prime factors of n(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times 0.04?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28496101 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 6:32 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 286 (base 16) to base 11.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 624 and 14184240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {i: 2, x: 4, b: 1, t: 1, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2741793 bigger than -2741811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, s: 2, b: 1, p: 1, o: 4}. What is prob of sequence boo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6428*m**4 - 90?\nAnswer: 25712*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i + 12. Let g(j) = -j**2 - j - 1. Let z(k) = 5*k**2 + 4*k + 4. Let f(m) = 4*g(m) + z(m). What is q(f(l))?\nAnswer: 3*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 3*m**3\/4 - 39195*m**2\/2 + 120822381*m + 95332622358 = 0.\nAnswer: -706, 13418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1150 + 125. Let u = 7673\/6 - v. What is the common denominator of 71\/9 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 215.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 2*j - 6. Suppose -3*r + 2*v + 40 = 0, v - 46 = -6*r + 2*r. Calculate the remainder when 4\/(8\/j*18\/r) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**6 + 31*n + 54*n + 9*n**2 - 11*n**2 + 427*n**5 - 25*n + n**2 wrt n?\nAnswer: 120*n**3 + 25620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 242 + 1766. Suppose -2*i + 3*m + p = 0, 4*i - 2098 + 574 = 3*m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -402, -1028, -1672, -2340, -3038, -3772, -4548?\n\"Answer: -d**3 - 3*d**2 - 610*d + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 241579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34\/1171 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, u: 4, s: 2}. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v + 0*v + 2 + 2*v)*(9142 + 8959 - 17932 - 5*v) as o + s*v + t*v**2 and give o.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 3131 = -1221. Let m = c - 248. Solve 4*j + 2*k = m, 5*k = 2*k + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 + 0.72. Let l = 0.1 + y. Let b = 0.8 - l. What is the nearest to b in -0.2, 1, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/13, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -11 + 3. Suppose t - 10 = -u*t. Solve q = t*r + 3, -4*q + 19 = r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*f**3 - 5*f**3 + 3*f**2 + 7*f**3 + 3*f**3 to the form b*f**2 + r*f + c*f**3 + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2aa805 - -a?\nAnswer: 2aa814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 72057858?\nAnswer: -72057858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 - 32*y**2 - 32*y - 30. Let o be n(-15). Which is the biggest value?  (a) o  (b) -1\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 50643212 or -1?\nAnswer: 50643212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5680 and 12.\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1030.011 + -1041. Let r = u - 0.011. Let y be 2\/((-8)\/(-4) - 0). Which is the third smallest value?  (a) y  (b) r  (c) 2  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 13 = -4*d + 15, d = -5*l + 37. Let b(m) = 29*m - 47. What is the units digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.9 + -0.1. Let t = i - -2.7. Let d = -149\/124 + 14\/31. Which is the third smallest value?  (a) d  (b) t  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 302136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 44 = -n, -2*n - 88515 = -3*a - 88492 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 2*a + 4*a**2)*(-7 + 46 - 96) as s*a + k*a**2 + d and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -67 (base 10) to base 13.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**3 - 28*y**2 - y + 12. Let a be c(14). What are the prime factors of 140 - ((3 - 2) + a + 6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42668 divided by -10667?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*l, -2*j - 1 + 8 = -3*l. Solve 4*i - 6 = w + 2*w, j*i + 8 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 7:08 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 71, 134, 247, 416, 647, 946, 1319, 1772?\n\"Answer: x**3 + 19*x**2 - x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08*0.15.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 4 - 3*d + 0 - 2 - 4. Calculate n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**4\/z*z*z**(6\/7)*z)**(-1\/69))**(20\/9) assuming z is positive.\nAnswer: z**(-820\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**3 + 67*j**2 - 37*j - 142. Let k be q(-34). Which is the nearest to k?  (a) 0  (b) 1\/3  (c) 5  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49216 and 6336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*c + 71 = -117, -2*f - 156 = -5*c. Suppose 4*l = -q - 762, 89 = 2*l + 2*q + 467. Let a = f - l. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -3. Suppose 2*l = 14 - s. Solve -k + 2*v + 2 - l = 0, -v + 20 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -8*y + 6*y**2 + 7 - 11 + 21 + 26. Is n(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5823, -23383, -52655, -93639?\n\"Answer: -5856*n**2 + 8*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {o: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -35. Let i(n) be the first derivative of 2*n**3 + 5*n + 1. Let u(x) = -5*x**2 - 4. Calculate z*i(h) + 5*u(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 7*f - 4. Let i be h(6). Suppose i*g = -0*g + 52. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 9, n: 2}. Give prob of picking 2 m and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 2) + (-7 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/3 - 97*p**3\/3 + 1985*p**2\/3 - 3683*p\/3 + 598.\nAnswer: (p - 69)*(p - 26)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -8614 times -143?\nAnswer: 1231802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*l = 0, 0 = 4*c + 2*l - 27 + 9. Let q be -10 - -16 - 2*c. Solve -18 = q*u - 4*s, -u + 4*u - 4*s = -19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, h: 4, i: 1, l: 4}. Give prob of picking 1 h and 1 v.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 10:56 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5539.5um to centimeters.\nAnswer: 0.55395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1876 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-52)\/6 + ((-299)\/(-39) - 6))\/1. Let f(t) = -9*t. Let u(z) = 19*z. Give j*f(w) - 4*u(w).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 83*h - 82*h + 80, -5*y - 128 - 73 = 2*h for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 6*w + 2*w**4 + 8*w**2 + 9*w**2 - 18*w**2 + 2*w**3 - 1 + 3 to the form s*w**4 + f*w**3 + q + v*w + y*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i = -147 + 42 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 6:22 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of t**4\/12 - 3*t**3\/2 - 14*t**2 - 12356*t. Determine l(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -168, 2\/3, -5, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 116144227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 1)\/((-9)\/9). Suppose -2*u - 2 = -3*m - b*u, 4 = 5*m - 3*u. Let k be m - 2 - (0 - 2). Solve -3*d = -c + 13, k*c + 2*c = -d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -11*w**8\/28 + 2*w**4\/3 - 27*w + 13. Let o(r) be the first derivative of v(r). What is the third derivative of o(l) wrt l?\nAnswer: -2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppvvfvpfpfxffuvv. What is prob of sequence fu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61976, 61978, 61990, 62018, 62068, 62146?\nAnswer: 62258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -u + 2, 4*s = -6*u + 3*u + 11. Let g be 2\/(0 + -2)*-6. Sort g, u, -3.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 - 217 = -6*x. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68 * -0.2.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - -1 - (6 + 0). Let c be (-2)\/t + (-14)\/(-39). Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 0.1  (b) 0.3  (c) -86  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1174128 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 212174, 212278, 212382, 212486, 212590, 212694?\nAnswer: 212798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2253550 to the power of 1\/2, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 60\/101 in -16\/13, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 146286 and 756?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, h: 3, o: 4, j: 1}. Give prob of sequence oj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + 0. Suppose 0 = -5*b + k - 81, -7*k = 3*b - 3*k + 67. Let c = b + h. Sort 1, c, -4 in descending order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 12:44 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7702, -7753, -7804, -7855, -7906, -7957?\n\"Answer: -51*q - 7651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 56\/252 + 428\/18. Suppose -4*r + 8 = x. Sort -1, 2\/9, r in decreasing order.\nAnswer: 2\/9, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -512 - -514. Let z = -50 - -77. Let f = z + -25. Which is the nearest to j?  (a) 2\/7  (b) f  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51926042*w**4 + 7*w**3 + 2*w**2 - 10917*w - 10037 wrt w.\nAnswer: -1246225008*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.62 plus -1240.2?\nAnswer: -1239.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6, i: 1, t: 3, k: 2}. What is prob of picking 1 m and 1 t?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -28, -105, -268, -547, -972?\n\"Answer: -5*u**3 - 13*u**2 - 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 4:37 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((-1)\/(-3))\/(50\/(-125)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1086 + 1045.96. What is p rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from eeeeeseeees?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 111\/6 - 2\/4. What are the prime factors of (42\/s)\/((-1)\/(-6))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -50*c**4\/3 - 25240*c**3\/3 - 15106*c**2 - 24152*c\/3 - 4024\/3 = 0.\nAnswer: -503, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2239561.\nAnswer: 2239561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 3*x. Let v(u) = -u + 6. Calculate v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 11 - 3*m)*((-m - 4 + 4)*(0*m - 2*m + 4*m) - 14*m**2 + m**2 - 15*m**2).\nAnswer: 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/5*r**5 - r**3 - 2\/5*r**2 + 0*r - 4\/5*r**4 + 0 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -155375 by -2.\nAnswer: 155375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 25*j**5\/12 + 25*j**4 + 120*j**3 - j**2 + 136. Suppose n(z) = 0. What is z?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/3)\/(3*3\/54).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/3)\/((-32)\/(-54)*(-213)\/568). Suppose -6*c - l*c**3 + 2 + 1\/2*c**4 + 13\/2*c**2 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720 a factor of 58636800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -1 - 2\/3*v**3 + 0*v**4 - 1\/20*v**5 + 20*v - 145\/2*v**2. Differentiate o(u) with respect to u.\nAnswer: -3*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -99130*a**3 + 364*a**2 + 4*a wrt a?\nAnswer: -594780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*y**2 - 7*y**5 + 15*y**2)*(8 + 7 - 3).\nAnswer: -84*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 147*p**3 + 16740*p**2 + 5*p - 778278879 wrt p?\nAnswer: 441*p**2 + 33480*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**6\/120 - l**5\/60 + l**4\/12 - 146*l**2. Factor g(f).\nAnswer: -f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25162231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((48\/(-9))\/(750\/90))\/((-18)\/(-45))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 - 69824*s**2 + 304711936*s.\nAnswer: 4*s*(s - 8728)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 433  (b) 180  (c) -4  (d) 0.1  (e) 4\/5  (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -484 = -122*i - b, 5*i - 486148 = -4*b - 486144 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000299245361 to six dps.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34*5*(-5544)\/(-12240)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27680.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1317 and -13260.\nAnswer: -14577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*4\/(-14) - (-23)\/((-4830)\/(-5940)). Suppose -2*b - 5*o + 56 = 0, 4*o = -3*b + 105 - 28. Let y = b - d. Let p(s) = s**2 + 5*s. Determine p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11816 is divided by 3658?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**3\/2 + 6098511*y**2\/2 + 42689835*y + 73182636 = 0 for y.\nAnswer: -12, -2, 2032851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from fyyfyyyy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1332473, -1332485, -1332509, -1332551, -1332617, -1332713, -1332845?\n\"Answer: -z**3 - 5*z - 1332467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) 0.1  (b) -0.16  (c) 7  (d) 2\/3  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -15606 (base 7) to base 13\nAnswer: -2019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 233 = -6*q + 287. Suppose 29*x - 38*x + q = 0. What is the lowest common multiple of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 4*p + 14. Let j be a(-3). Suppose -j*i - 3*z = -6*i + 23, -2*i - z = 1. Let n(w) be the first derivative of w**2\/2 + 2*w - 2. Give n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-751194)\/24 + (-2)\/16*2. What is g rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71, 540, 1309, 2378, 3747, 5416?\nAnswer: 7385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2383210 + -5?\nAnswer: 2383205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209*g - 210*g - 69 = 0. Which is the third smallest value?  (a) -2  (b) 2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 5*w = 452, -56 = 2*o - 3*w - 282. List the prime factors of o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of 5\/336*l**8 + 5\/24*l**6 + 0*l**4 + 0*l**3 + 2 - 2\/21*l**7 + 0*l - 1\/6*l**5 - 53*l**2. Determine r so that z(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 2:11 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-4)*((-52)\/(-10) - 4). Sort -4, 19, 2, s.\nAnswer: -4, 2, s, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -379, -1035, -2001?\nAnswer: -3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1329 - -1329. Let c(b) be the third derivative of -b**2 - 1\/300*b**5 - 8\/15*b**3 - 1\/15*b**4 + 0*b + y. Determine n, given that c(n) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20079 + 20080. Let l(q) = q + 1 - 3 + 4 - 3. Let p(w) = -3*w**2 + 12*w - 12. What is c*p(g) - 12*l(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -322*g + 1173 = 2139. Let o(z) be the first derivative of -z**3\/3 + 4*z - 1. Calculate o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-99)\/(-44)*(-16)\/6. Let t = 12 + c. Suppose -2*w = -5*w + t. Are -1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-44)\/(-1) - (-4)\/4. Suppose 2 = 3*w - 1, -3*s = 3*w - m. Let t = s + -11. Solve -7 = -t*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -21, -5, 1496 in decreasing order.\nAnswer: 1496, 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nncceevceenncee. Give prob of sequence cnv.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 3.314?\nAnswer: -1.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 15*y - 40*y + 116 = 0, 0 = y - 13*y + 2*y + 2*y + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.59 + -1.6. Sort 1, -4, j.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 12. Let m be u(0). Calculate the remainder when 4 + -1 + 1 + m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4677?  (a) -3  (b) 0.3  (c) -3\/4  (d) 5  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 14, -7, -1, -3 in increasing order.\nAnswer: -7, -3, -1, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkkkttttttk. Give prob of picking 2 k and 1 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-3\/4)\/(q**(-1\/3)\/q)*(q\/q**0)**34 assuming q is positive.\nAnswer: q**(415\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2858\/50 - 53512\/334450\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -12  (b) 1685  (c) -4  (d) 0.3  (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 935827 or 10294094\/11?\nAnswer: 935827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 799 and 250087?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 238615.5 from -0.0584.\nAnswer: -238615.5584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*d = 2. Let z(q) = -q**3 - 3*q**2 + q + 3. Let a be z(-3). Let n(w) = 0 + d*w + a. Let l(h) = -2*h. Give l(n(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -7\/4  (c) -2\/3288229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14800*s**3 + 14813*s**3 - 5*s - 3*s**2 + 0*s + 13*s + 1 + 13*s to v*s**2 + c*s + w + r*s**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -70298690021851 and -7?\nAnswer: 70298690021844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + 7*j + 7. Let d be b(-6). Let q(y) = -y**2 - 11*y + 21. Let n be q(2). Suppose 4*v = 5*h, -5*h + 10*h + 5 = 5*v. Sort n, 5, h, d.\nAnswer: n, d, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 0.0024.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -5) + -1 - -9 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*s + 75, 15*s - 18*s = -2*h - 20. Solve 5*q + 15 = -f, -s*q = -5*q + 3*f + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 125399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5577707537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7935, 7672, 7175, 6396, 5287, 3800, 1887, -500?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 1\/84465036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5419*t - 1581*t = -1534*t + 236368 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + o - 30. Determine p(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 7*o + 48 = 0, -s - o + 371 - 377 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 162 - 32. Which is greater: -27 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65 and 1243840?\nAnswer: 1243840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 18 and 29154959133599.\nAnswer: 29154959133617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 49027736 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*f + 117*f + 8*f**3 - 42*f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**3 - 3*f**2 + 1. Let m be k(-2). Let s(w) = -w**2 + 7*w + 8. Let z be s(m). Do z and 19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7138 divided by 2\nAnswer: 3569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.9  (b) 32  (c) 3  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1732315 is divided by 302?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 46781\/3, -5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*h + 3. Let k be (-42)\/(-8) - h\/16. Let b(i) = -5*i - 23*i + 26*i + 1. Calculate b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 40 = -2*s, -l - 4 = -0*l - 5*s. Let p = 27 + l. Suppose 5*h - 4 = k - 2*k, -4*k + 85 = -p*h. Which is greater: k or -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n**3 - 4*n**3 - 3*n**3 + (-n**2 - 61*n**2 - 2*n**2)*(2*n + 0*n - 3*n) + 4*n**3 - n**3 - n**3 as q*n**3 + i + s*n + m*n**2 and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -110.03.\nAnswer: 44.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7318 - -4.2682. Which is the closest to 0?  (a) n  (b) -2  (c) 1\/3  (d) -2\/1189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*sqrt(242) - ((1 + sqrt(288) + sqrt(288))**2 - (sqrt(288) + 0)**2) - -1*(4 + sqrt(128) + 1 - (2 + (-1 + sqrt(128) + sqrt(128))**2)).\nAnswer: -1375 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 4648*h - 6*h**3 - 4648*h in the form s*h + t + q*h**3 + l*h**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5478*m + 5478*m + 2*m**2 + 27*m**3 - 199*m**3 - 101*m**3 - 16*m**3.\nAnswer: -289*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + a = 59, -2*s + 5*a = -3*s + 1. Suppose -5*g = 5*m + 85, g = 6*m - 10*m - 29. Let l = g - s. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 0)\/((-4)\/352). Let t = 617\/7 - v. Let o = -3\/227 - -487\/2497. Which is the smallest value?  (a) -5  (b) o  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -72\/31, 1\/4, -7, 3\/2 in decreasing order.\nAnswer: 3\/2, 1\/4, -72\/31, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 177583 and 46326.\nAnswer: 1065498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1472)\/10 + (-44)\/55. Let d = 907 - k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.24, -0.2, -1607 in ascending order.\nAnswer: -1607, -0.24, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 54.9627 centuries?\nAnswer: 5.49627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - 5 - (-2 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7380715.\nAnswer: 5, 149, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -160, -451, -936, -1615?\n\"Answer: -97*c**2 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -5*s - 10, 2*t + 8*s + 4 = -24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 708*s**2 + 39675*s + 216450.\nAnswer: 3*(s - 130)*(s - 111)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19918 = 55*n + 47*n + 4256. Let h = -1153 - -805. Let g = n - h. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 842*s**3 + 2*s**2 + 1768*s - 1 wrt s?\nAnswer: 5052*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.57 - 1.43. Let r = 0.3 - 0.4. What is the nearest to r in -5\/4, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5520*y**2. Let f(j) = -238*j - 11. Let i(u) = -65*u - 3. Let a(q) = -3*f(q) + 11*i(q). Determine z(a(w)).\nAnswer: 5520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1164 and 1212.\nAnswer: 1410768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -87791490*a**4 - 48835879 wrt a?\nAnswer: -351165960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 8. Let a be u(-6). Let i(c) = -4*c + 2. Let g be i(0). Suppose 0*l + 365 = t - a*l, 2*t - g*l = 736. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -105*r**4 + 36*r**3 - 2591*r - 117*r**4 - 837*r**3 + 221*r**4 wrt r?\nAnswer: -12*r**2 - 4806*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 0.052, 0.5, -0.3 in decreasing order.\nAnswer: 14, 0.5, 0.052, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2 - 36*k - 35. Let i(y) = -231*y + 4606. Let s be i(20). Determine t(s).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (-28)\/(-1))*(-1)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/14 - 4\/(-14). Let v = 3 + y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (81928\/6 - 3) + (-161)\/(-69).\nAnswer: 2, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 - 5. Suppose -4*l = f + 1 + 3, 5*f + 4*l + b = 0. Let q(i) = -2*i - 12. Let o be q(f). Solve 2*m + 0*d = -2*d - 12, o*m - 21 = 5*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -939 + 936.415. Let y = 1.672 + q. Let d = y - 0.067. What is d rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -114  (c) -4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 170156 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d - 1. Determine z(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c - 3. Let r(w) = 3*w - 22. Let p(i) = 3*h(i) - r(i). Let o = 12 - 6. Is 15 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(-4*y + 3*y + 3*y)*(28 - 22 + 7).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*z - 32*z + 9*z + 126 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i. Let d(k) = 3*k. Let h(x) = 5*c(x) + 8*d(x). Let r(l) = l. Give r(h(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((3 - -2) + -3)\/((-28)\/(-8358)). Let q(p) = -6*p + p - 590 + d + 6*p**2 + 0*p**2 - p**3. Determine q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -6 - 6. Let n(v) = 2*v**2 - 4*v + 4. Let a be n(x). Solve 0 = -5*u - 0*u - a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 - -119 - 51 - (0 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s**2 + 5*s - 5. Let p(m) = m**2 + m - 1. Determine 2*i(n) - 9*p(n).\nAnswer: -3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2911 or -2917?\nAnswer: -2917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 512 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*v**4 - 116*v**3 - 66*v**2 - 3756*v + 24?\nAnswer: -132*v**2 - 696*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30030*a**3*g*h - a**3 - 73*a**2*g*h - 3*a*g*h - 512*a*g - 16*a*h + 21*a wrt a.\nAnswer: 180180*a*g*h - 6*a - 146*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-33)\/2 + 20\/40. Let z(u) = -u**3 - 18*u**2 - 34*u - 19. Determine z(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j**4 + 492*j**3 - 244*j**2 = 0. What is j?\nAnswer: 0, 1\/2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4752)\/25920*40\/165*-1?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b - 6. Let v be ((-5)\/(-15))\/(1\/(-12)). Give y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 47*c**2 + 661*c + 39. Determine y(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1251)\/(-3315) + 8\/(-20). Let k = h + -4616\/1105. Which is smaller: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (60*j**2 + 7*j**2 + 5*j**2)*(9*j + 5*j + 12*j).\nAnswer: 1872*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -851 = -121*a + 722. Solve -68*n - a = -55*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -1206*z**2 - 34. Let i(o) = -158*o. Determine i(h(j)).\nAnswer: 190548*j**2 + 5372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z. Let w(p) be the third derivative of -p**8\/20160 - 3*p**5\/20 - 3*p**2. Let r(f) be the third derivative of w(f). Calculate q(r(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence io when two letters picked without replacement from iiiioooiiibiiibiobii?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 5*s**4\/24 + 3*s**3 - 4*s**2. Let a be f(10). Let m = a - 70. Does m = 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/1371 + 5003\/32904. Let p = -32255\/5676 - -650\/129. Calculate the common denominator of p and b.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -59*v**3\/6 + 6*v - 1. Let l(t) = t**2. What is l(z(o))?\nAnswer: 3481*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3989*i*q**4 + 124*i*q**3 - 34845*i*q**2 - 17*i + 8*q**4 + 8*q**2 wrt q.\nAnswer: -95736*i*q + 744*i + 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.011495042*-0.1.\nAnswer: -0.0011495042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 23592.748 and 70639.3.\nAnswer: 94232.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1342, -1426, -1510, -1594, -1678, -1762?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 13814, 13815, 13816, 13817, 13818?\n\"Answer: n + 13813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -5820 less than -5818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.6315596 less than -0.6?\nAnswer: 24.0315596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/224*-8*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(8\/(-1492) + 0). Suppose -32 + p = g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19337 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5 + 16*g**4 - 10*g**3 - 76*g**2 - 48*g = 0. Calculate g.\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4349 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 16 = -j - j, 5*j - 25 = 0. Solve -30 = -5*o - a*r, 5*r = 3*o + 4*r - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*s + 6*s - 88. Sort s, 5, 1, -4 in descending order.\nAnswer: 5, s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162946 and 13494?\nAnswer: 1099396662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**2 + 2*v - 3. Let x(c) = -c**2 + 2*c - 3. Let b be x(2). Let d be f(b). Let t(m) = -5 - 8*m**2 + 4 + d*m**2 - m. What is t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13*f*k**2 - 2*f*v**2 - 188*f*v - 8*f + 10*k**2*v**2 - k**2*v wrt k?\nAnswer: -26*f*k + 20*k*v**2 - 2*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c*o**3*p - 134870*c*o**3 + 4*c*o**2*p + 245088*c*o - 2*c*p + o**3 + 2*o**2 + o*p - 3*p wrt o?\nAnswer: 12*c*p - 809220*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81557 = 54*d - 82421 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5524429, 11048858, 16573287, 22097716, 27622145?\n\"Answer: 5524429*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1212*j**3 + 261*j**2 - 261*j**2.\nAnswer: -1212*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 13 + 2 = -3*h, -5*g + h = 15. Let z = -4.318 - -0.318. Let t = 69 + -68. Which is the smallest value?  (a) g  (b) z  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(88) - 2*sqrt(88)*-2 - sqrt(88)) + (2*sqrt(88)*2 - sqrt(88)))\/((sqrt(8) - -1*sqrt(512)) + sqrt(8)*-1*4))**2.\nAnswer: 539\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4886, -4776, -4680, -4598?\nAnswer: -4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of 253*k**6\/24 + 233*k**3\/6 + 35*k**2 + 8*k. What is the derivative of b(o) wrt o?\nAnswer: 3795*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/(-2) + (-1 - 2) + 1. Suppose -l = -10 + g. Suppose 57 = q + l*f, 0*q = -3*q - f + 185. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47251316495346961\/21489 + 2198860649819. Let o = g - 15\/14326. Let a = -400 + o. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -35, -43, -53?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11\/((-1265)\/(-10)) - 10990\/(-46) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6*(-1 - 2). Let m be v\/5 - 1\/(-5). Let a(c) = -c**3 + c**2 + 5. Calculate a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -3*l**2\/2 + 5*l - 20. Let d be s(1). Calculate the common denominator of d\/3*-3*222\/48 and -47\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 11, y: 2, b: 2, e: 5}. What is prob of sequence ze?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 3*k - 2. Let v be d(3). Let a be 1 + 9\/(-6)*v. Factor 11*h + a*h**3 - 3*h**3 - 12*h.\nAnswer: h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 9 + -33 + 16 + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 3469 - 829 = 0. Calculate the lowest common multiple of 30 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31125 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**4 - q**4 + 2*q**4 + (0 + q**3 + 0)*(0*q + 0*q + q) + 2*q**4 + 0*q**4 - 7*q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 3*u + 86. Let t(c) = c**2. Determine r(t(s)).\nAnswer: 3*s**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8286*h + 8287*h = -6*f - 177, 10*h - 150 = 4*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 154 + -151. Let u = 305 + q. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8091.666 hours in days?\nAnswer: 337.15275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*(sqrt(3645) + 0 + sqrt(3645) + -2))**2.\nAnswer: -48600*sqrt(5) + 3281400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*z**2 + 24*z**2 + 15*z**2 + 21*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1 - 0.1. Let s = 186 + -182. Let x be (0 - (-10)\/(-40))*1. What is the closest to -1 in s, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*4*(-2)\/2. Calculate the remainder when 21 is divided by 24\/(-15)*30\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -725952 divided by 32.\nAnswer: -22686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 2*d + 2*s, -3*d + 3*s - 1 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/165138679 or 0?\nAnswer: -1\/165138679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*t + 2)*(68*t + 25*t**3 - 68*t)*(-1 - 1 + 0 + (-5 + 2 + 1)*(-3 - 3 + 5) + 0 + 2 - 1).\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*i - 4 = 0, -4*j = -3*j - 5*i + 1. Let s = 699 - 694. What is the nearest to j in 25, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 4*x + 1, -117 + 17 = 5*r + 5*x for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zk when two letters picked without replacement from zkc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18496113 to the nearest integer?\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 - 17. Suppose 4*j + 50 = -j. Let o = -6 - j. Solve o*s + c = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121221212 - 121020021?\nAnswer: -1020012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*r - 83*r - 166*r)*(-5*r**3 + 5*r**3 - 3*r**3) as h*r + f*r**3 + g*r**2 + b + d*r**4 and give d.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25, -9, 19, 59, 111, 175, 251?\n\"Answer: 6*s**2 - 2*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v - 5*v - 5 - 3*v**4 + 11*v + 3 in the form w*v**3 + h + z*v + l*v**2 + j*v**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 11:42 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1 - 9 = 0. What are the prime factors of (1\/o)\/(15\/1020)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 22. Suppose -f = -2*v - 1. Factor 0*n + 2\/5*n**2 + 0 + 2\/5*n**v.\nAnswer: 2*n**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 35537?\nAnswer: 5\/35537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 - 39 + l + 5*l**4 - l**2 + 92 - 105*l**3 - 21 to n*l**3 + q*l**2 + p + j*l + c*l**4 and give n.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 336364, 672721, 1009078, 1345435?\nAnswer: 1681792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {r: 6, e: 1, h: 1, j: 5, k: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4690409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((660\/25)\/(-22))\/((-1)\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 + p - p - 10*p**2 - p**3.\nAnswer: -3*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 36*q - 17*q - 20*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 400, 799, 1196, 1591, 1984?\n\"Answer: -i**2 + 402*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 - 13 - 11*d - 19*d + d**2 + 93*d - 63*d.\nAnswer: d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -14*s - s**2 + 8*s + 12 - 5. Let v be n(-5). Let k(d) = d**2 + 8*d + 7. Let i be k(-8). Solve -3*f + v = -2*r - r, -f - 2*r = -i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7914.425 - 631.963. Let n = -7270 + a. Let o = 0.138 + n. Round o to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -25, -358, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-140 + 347 - 239) + (1 - ((0 - -2) + 1))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20390*((-3056)\/(-160) + -19) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 105.999999833 - 106. What is z rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 48\/(-14)*6\/(42\/(-49))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3744, 4105, 4466, 4827?\n\"Answer: 361*w + 3383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 5*q - 15 = 0, 24 = 5*a - 0*q + q. Suppose 2*n - a*s + 21 = n, -17 = -3*n - s. Solve 5*r + 14 = n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46215\/(-395))\/(9\/(-1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/11, -9\/4, -2, 11, -2715 in descending order.\nAnswer: 11, 1\/11, -2, -9\/4, -2715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000068144 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -4, 5 in descending order.\nAnswer: 12, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3\/8)\/l)\/(l*l\/l**(3\/7)))**(-19) assuming l is positive.\nAnswer: l**(3135\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2458*n + 8658 = -2125*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 237*y**2 + 543*y - 520. Calculate n(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**3 - 15213 - 3*m**3 + 15213.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10110 * -0.05634\nAnswer: -569.5974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - -2)\/((-210)\/35 + 20 + -15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0037265 to five dps.\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d + 29. Let p(t) = 2*t - 59. Calculate -9*m(g) - 4*p(g).\nAnswer: g - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10 = -4*v, -3*v - v = 3*n - 15. Suppose v*t = -3*b - 0*t + 96, -4*t + 8 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of 1262*o**3\/3 + 2294. Let h(m) = 2*m**2. Give x(h(c)).\nAnswer: 5048*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 517 = t. Suppose -8*b = -t - 560. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(3\/13)*o*o**(-38)*o)\/(o**(-18)\/(o*o\/o**(1\/53))) assuming o is positive.\nAnswer: o**(-10878\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 217\/2 - 105. Let m = j - 3. Suppose 1\/4*q**2 + m*q + 1\/4 = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005718236 to 7 decimal places.\nAnswer: 0.0000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -3*t - 678. Suppose 28*g - t = -1. Solve 5*q - g*q - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.3 - -4.3. Suppose 5*h - 54 = -2*w, -h - 33 = -3*h + 3*w. Let u = h + -7. Which is the third biggest value?  (a) p  (b) 0.3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 660531 equal to 660528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1012 (base 3) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uh when two letters picked without replacement from rgruggggrhrgh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-4) + 77\/(-28). Let j(n) = -16*n**2 + 668*n + 167. Let u be j(42). Which is the closest to 2?  (a) -0.3  (b) u  (c) 1\/4  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-36)\/21)\/((-2)\/7))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8a + -5?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1508 and 16?\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m + 48. Let k be t(0). Let v = k + -32. Suppose 4*n = -4*h + v, 0 - 22 = -4*n - 2*h. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of -14\/3*j**3 + 36 + 0*j + 0*j**4 + 0*j**2 - 6*j**5. Find the third derivative of q(x) wrt x.\nAnswer: -720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -41, -68, -95, -122, -149?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.07, -855, -0.2, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49.7 + -49.7. Let v be (-1)\/((-5)\/(-2) + -1). Sort q, 6, v.\nAnswer: v, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84 + -24. Let p be l\/(-21) - (2 + 3). Which is the nearest to -13?  (a) 0.3  (b) -0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 472715*v**2 + 51 - 102 + 128792*v**2 + 51.\nAnswer: 601507*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 9*j**2 + j - 11. Determine r(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 8*a**4 + 9450*a**3 - 38798892*a**2 + 21493679962*a - 16098439584 = 0.\nAnswer: -3056, 3\/4, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 393693163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6))**(-2\/21)\/(l**(-5)*l)**(-3\/31) assuming l is positive.\nAnswer: l**(40\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1460046924 to the power of 1\/3, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 7*f**2 - 1. Let g be o(-6). What is the highest common factor of 40 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -5*r + r + 22, 5*r = -3*z. Suppose -2*t - 41 = -r*t. Suppose -40 = -t*y + 36*y. What is the least common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h. Let s(k) be the third derivative of 0*k**4 + 0*k**3 - 1\/20*k**5 - 3*k**2 + 0 + 16*k. Calculate p(s(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9139 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (16\/21)\/(-2)*(-15)\/(-20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**9\/126 + d**5\/15 - 2*d**2. Find the third derivative of t(j) wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -2*c**4\/3 + 17*c**3\/6 + 2*c**2 - 2. Let t(n) be the second derivative of v(n). Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4405986944 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15.6 - 12.6. What is the second biggest value in 1\/5, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d37 + -bb9?\nAnswer: 117e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 10 + 3 = 0. Let a = -5 + s. Let i(m) be the third derivative of m**4\/24 - m**3\/6 - 19*m**2 + 3. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((6 - -159)\/(-11)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -3*i - 0*i + 102, -8*p + 2*i = -77051 + 76615 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.77 - 0.23. Which is the closest to -3?  (a) 1  (b) v  (c) -2\/9  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 5*w - 9. Calculate j(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3469011 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2848745 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 6096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 399 - 31. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1806197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((l + 3*l - 3*l)*(5 - 5 + 2*l) + 2 + 2*l**2 - 2)*(11*l + 15*l - 6 - 28*l) to the form k*l**2 + d*l + h + f*l**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -9*j + 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0044048 rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315678 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000780159553 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2*t + 93 = 35, 2*v + 3*t = 21. Let m be v\/(-20)*(-6 - -1). Suppose 6 = b + 2. Solve 5 = m*w - b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k - 129 = 417. What is the second derivative of 0*d**3 - d + 5*d + 25*d**3 + 40 - k wrt d?\nAnswer: 150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*h + 197*h = -51. Suppose h = -3*i + 75. Let q = 13 + -5. Is q >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2303.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17.65 + 0.65. Let f = -17.59 - i. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.4 - 7.399797. Round k to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -i - 8, 0 = 2*i + i. Let h(c) be the first derivative of 0*c + c**2 - 1 - 4\/5*c**5 - 1\/3*c**6 + 0*c**t + 4\/3*c**3. Factor h(s).\nAnswer: -2*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 - -3.00705\nAnswer: 3.13705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 821.2515 millilitres in litres?\nAnswer: 0.8212515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29425681795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 11:58 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t + 9. Let a(m) be the third derivative of -5*m**4\/24 + 13*m**3\/6 - 34*m**2. Determine 5*a(y) - 7*u(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b - 36. Let y be z(-24). Is (-3)\/(-2)*(-2 - 11104\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-10)*f\/(((f\/(((f*f**(-2\/21)*f)\/f)\/f))\/f)\/f) assuming f is positive.\nAnswer: f**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11093 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: Let z = -6 + 8. Calculate the lowest common multiple of 0\/(4\/4) - (1 + -12) and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*((1 - -3) + -3). Let k be (-8000)\/(2\/(-2675) - b). What is k rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 3\/20  (c) -19  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 6. Let f be l(7). Suppose 0 = 12*m - 1440 - 60. Let o = f + m. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -1\/70*t**7 - 1\/112*t**8 + 0*t**4 + 0*t + 1\/40*t**6 + 0*t**3 + 1\/20*t**5 + 0 + t**2. Factor n(o).\nAnswer: -3*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*l = 170*l - 3078 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 643929*p - 1 - 643924*p + 1.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 4. Let v(z) = 59*z**3 - z**2 - 2*z + 2. Let a be v(d). Let t = a + -36. What is the greatest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -72 + 72 + 33*u**3 - 2*u**3 + 3*u**3 + 0*u**3 + (u**2 - u**2 + 2*u**2)*(-4*u + 4*u + 4*u) + 2*u + 2*u**3 - 2*u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -0.082309.\nAnswer: 0.0246927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 6:45 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 207*f + 1247. Let u be a(-6). Solve -32 = -u*r + r - 4*o, 0 = -3*r - 5*o + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4 - 5 - q - 3*q + 3*q. Let w be u(-3). Suppose -w*l = -2 - 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40.97209252 - 0.02464748. Let l = c + 41. What is l rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1281717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 (base 9) in base 8?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13791593 to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-five thirds of a week in hours?\nAnswer: 3640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18.01 + -52.04. Let k = -34 - c. Is -0.1 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 20*a - 12. Let q be u(1). Solve -6*j = -q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 38, 58, 70, 74?\n\"Answer: -4*u**2 + 32*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 1, k: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -14*i + 240. Let r be g(17). Is 2\/r - 2 - -1188 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -181*j**3 + 44*j**3 + 44*j**3 + 243*j**2 - 2*j + 48*j**3 + 44*j**3 in the form u*j**3 + q*j**2 + x*j + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1430 or 1431?\nAnswer: 1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-138)\/8)\/((-24637)\/(-197096))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1180.104 to 0 decimal places.\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -127*p - 177. Let r(f) = 921*f**2. Give h(r(z)).\nAnswer: -116967*z**2 - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 690 and 2898.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-3)*0 + 2. Let y(d) be the first derivative of -1\/4*d**4 + 1\/3*d**3 + 0*d**h + 0*d + 2. Find the third derivative of y(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vmc when three letters picked without replacement from {m: 5, h: 3, c: 1, v: 4}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**7\/3150 - w**4\/3 + 8*w. Let t(z) be the third derivative of o(z). Factor t(c).\nAnswer: -4*c**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 130 + -129.5. What is the second biggest value in 7, 3, 1, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61628.28 centimeters in meters?\nAnswer: 616.2828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i**2 - 4*i + 4. Suppose 8 = 3*w - 1. Does 11 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o + 3. Let p(f) = -10*f**2 + 10*f + 15. Let r(k) = p(k) - 5*s(k). Let x(d) = 31*d**2. Calculate x(r(m)).\nAnswer: 3100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18\/2808*242\/1. Let q = w + -2\/39. Which is the third smallest value?  (a) 3  (b) -1  (c) 8  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 6:38 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p + 127. Let m(z) = z**2 + 37*z - 71*z + 34*z + z**2. Calculate m(a(d)).\nAnswer: 8*d**2 - 1016*d + 32258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8886 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: Solve -2*r - 3*y - 15 = -8*y, -5 = 3*r - 4*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -5*z**2 - 64*z - 1383. Let w(f) = -4*f**2 - 51*f - 1106. Calculate -11*h(a) + 14*w(a).\nAnswer: -a**2 - 10*a - 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 541.3 - 499. Let h = i + -42. Put 2, h, 0.03 in ascending order.\nAnswer: 0.03, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/80 and 37\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(52) + -3)*3.\nAnswer: -9 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**5\/660 + 7*h**4\/132 + 49*h**3\/66 + 35*h**2. Factor s(a).\nAnswer: (a + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 - 25. Let g = f + -6. Suppose c = -3*c - 5*r + 4, 0 = -r. Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - 8*q**2 + 14*q + 48. Let i be h(-9). Let m be i\/((85\/(-210))\/(-17)). What is the highest common divisor of 54 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*a + 177*a - 360*a + o + 6 = 0, 8*o - 7*o + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 42*b**2 + 684*b - 1712. Give l(-55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l = 5*t - 3*l + 103, -3*l - 199 = -t - 210 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3009088 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1020 and 3655?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 148*v**2 + 140*v - 37. What is r(-149)?\nAnswer: 1304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1220, 2844, 4960, 7568, 10668, 14260?\nAnswer: 18344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4613*l + 43. Let t be p(-5). Suppose 0 = n + 3*n - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 y, and 2 r when four letters picked without replacement from yrzyrz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 7 = -3*h, 0 = -5*p + 311*h - 308*h - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 36*t**2 + 10*t + 96. Let k be q(-6). Calculate the highest common divisor of k and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13278 divided by 19.\nAnswer: 13278\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555 = -6*f + 82*t - 85*t, 4*t = 3*f + 6*t - 4*t - 274 for f.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaaek. What is prob of picking 1 e and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 5*s - 175, -4*x - 51 + 279 = 4*s. Let p = 52 - x. Let a be (195\/25 + p)*1. Which is bigger: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 56 + -53. Suppose 0 = 4*o - x*i + 8*i + 6245, -3 = 3*i. Round o to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 310814253.\nAnswer: 3, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1946 and 44023413?\nAnswer: 44021467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = 51*b - 24*b. What is the second smallest value in -0.2, 1, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-two fifths of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 116e67 (base 16) to base 9\nAnswer: 2131035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 - a + 3. Let m be p(-2). Let q = m + -19. Solve 2*x - 2 = -q*r + x, 4*r - 16 = -5*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*y + 3 - 17 = 0, 0 = -2*v + 5*y + 24. Suppose v*o + 9 = 5*o. Let q(l) = l + 4 + 12*l**o + 5*l**2 - 7*l**3 - 6*l**3. Give q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0.5, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + -1 + (-2)\/(-2). Suppose -4*x + h = 6 - 24, -q*x + 4 = 4*h. Solve v = -x*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**3 + 20*x**2 + 13*x + 12. Let w(t) = 4*t**3 - 19*t**2 - 13*t - 10. Let f(z) = -3*u(z) - 2*w(z). What is the units digit of f(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -53, 2, -1, -3, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2050 = 7748 + 2797. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1648*y**3 + 1668*y**3 - 3320*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -5*u**4 - 64070*u**3 - 1151940*u**2 - 3837800*u + 12796000 = 0.\nAnswer: -12796, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(12\/((-12)\/(-3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-48)\/(-264) - 295799\/(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3549*q**3 - 20 + 20.\nAnswer: -3549*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/330)\/((14472\/67)\/108)?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 2 = -60262*q + 60264*q, 2*q = -3*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53, 201, 447, 791, 1233?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-588244)\/(-53332) + (33\/(-6)*2)\/1\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 22977880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1064.1708 + 15.2348. Let p = 1041 + t. Let u = p + -0.064. What is the nearest to 2 in -5, u, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 720, 11 in ascending order.\nAnswer: 11, 17, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5545960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 6*v**2 + 6*v - 4. Let j be z(5). Suppose j - 49 = 4*o. Is o\/30 + 52\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 49*j + 302. Let a be w(8). Let b = -73 + 154. Let d = b + a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**3 - 6*q**3 - 8*q**3 - 7*q**3 - 81 + 22*q**3 to z*q**3 + f*q + g + i*q**2 and give g.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 65 + 0 = -4*c, 0 = 3*d - c - 39. Let a = 1 + 3. Suppose -7*o + a*o + 312 = 0. Calculate the greatest common divisor of o and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**6\/6 + 8*a**5\/15 - a**4\/6 - 4*a**3\/3 + 21*a**2. Factor n(c).\nAnswer: -4*(c - 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -418487*y**2 - 5*y + 2523997 wrt y?\nAnswer: -836974*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 80 - 28. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-29))\/(a*a**21\/a))\/(((a\/(((a*a**(-2\/37))\/a)\/a)*a*a)\/a*a)\/a**(-16\/3)) assuming a is positive.\nAnswer: a**(-43\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 308030 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*k**4 + 3*k**3 + 24*k**4 + 0*k**3)*(k + 3*k - 2*k).\nAnswer: 4*k**5 + 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8010325 to the nearest integer?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145792 = -1772*z - 404*z for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/6 - (-30)\/9. Suppose -348 = -k - 2*h, g*k - 1024 = -3*h + 7*h. Suppose -4*b + k = -2*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -z. Let x be 6\/(-21) + z\/(-14). What is the closest to 1 in -0.1, -2, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15160?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-3\/5)*o)\/o**(2\/21)*(o\/(((o\/(o**(-3\/2)\/o))\/o)\/o))**(-38\/5) assuming o is positive.\nAnswer: o**(536\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/159 and 73\/72?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -315 - -324. Calculate the smallest common multiple of 15 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 - 16. Let c = t + 36. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 196*p**3 - 5*p + 5*p - p**2 + p**2 - 2*p**3 + (0 + 2 + 0)*(p**2 - 2*p**3 - p**2) + p - p**3 - p.\nAnswer: 189*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.24887203 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**2*x*y**3 - 5*c**2*x*y + c**2*y**2 + 36*c*x*y**3 - 17*c*x*y wrt y.\nAnswer: 12*c**2*x + 216*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 143523183, 143523188, 143523195, 143523204, 143523215?\n\"Answer: l**2 + 2*l + 143523180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 2*i - 28 - 10, w + i - 5 = 0. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 24*n + 65. Calculate v(5).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-66)\/12 + 13\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/15 in 4\/7, -1\/3, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.8, -0.3, 1\/4, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/4)\/b)**19*b\/b**6*b**(-5)*((b**(3\/8)\/b)\/(b*b**(-3)*b))**(-5\/4) assuming b is positive.\nAnswer: b**(-1095\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7632 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2635, 10584, 23861, 42490, 66495, 95900, 130729, 171006?\nAnswer: 216755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, u: 1, j: 6, q: 2, l: 1}. Give prob of picking 1 j and 2 q.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**2*q))\/q*q**(-6))\/(q\/((q**(-1)*q)\/q*q)*q)**46 assuming q is positive.\nAnswer: q**(-101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 224788543 and -5?\nAnswer: -1123942715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -41*z**2. Let o(x) = -10*x**2. Determine m(o(a)).\nAnswer: -4100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d + 4. Give n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o - 2*f = 6, -1730 + 1639 = 46*o - 44*o - 9*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112782 = 3721*a - 34797 - 12424 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**12*b*(b**(1\/7)\/b)\/b*b\/(b**7\/b*b)*b\/((b*b\/b**(-6\/13))\/b) assuming b is positive.\nAnswer: b**(426\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = s + 2*m, 2*s - 6*s - 8 = 4*m. Suppose s = -4*k + 5 + 239. Suppose -5*p - 1 + k = 0. Calculate the least common multiple of 22 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 12 + (9 - 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -53262*f**2 + 99*f + 693. Let z(g) = -2663*g**2 + 5*g + 35. Let w(j) = -5*r(j) + 99*z(j). Let y(o) = -2*o**2. Give y(w(b)).\nAnswer: -14289858*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-110*(-13)\/(-572))\/((-10)\/(-72))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 313892693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/4*434\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -1391192*p**3 - 3*p**2 - 3*p + 5. Let h be q(2). Let u = h - -15999549. What is u rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/r**9)))\/(r\/(r*(r\/r**(-2\/9))\/r)))\/(r**(1\/2)\/r**8) assuming r is positive.\nAnswer: r**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/7)\/k)\/(k**(3\/8)\/k))\/(k**1\/k**(2\/11)) assuming k is positive.\nAnswer: k**(-559\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 2*p + 3. Let t be h(-3). Suppose 0 = t*n - 7*n. Let u(d) = -d + 16. Give u(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - a**2 - 17*a + 31. Let u be y(2). Put u, -3\/8, -0.4 in increasing order.\nAnswer: -0.4, -3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 531, 1142, 1783, 2460, 3179, 3946?\nAnswer: 4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 2*g + 100. What is the highest common factor of 40 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 32602930 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/6493 - -344162\/214269. Calculate the common denominator of x and -43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1\/6, 3, 11 in ascending order.\nAnswer: -0.3, -1\/6, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 41*z + 35. Let g(k) = -657*k - 561. Let n(p) = -99*c(p) - 6*g(p). Differentiate n(v) with respect to v.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/21, 12\/55, 10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2384258 is divided by 297?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 5*n = 7, l + 2*l = 3*n + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2725*r**2 - 2718*r**2 - 7 + 5431*r**2.\nAnswer: -12*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/1848 and -101\/813792.\nAnswer: 8951712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.09 - -0.2. Let s = h - -3.89. Let a be 4\/(-1 - (-3)\/1). What is the nearest to 0 in s, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from htrff. Give prob of picking 1 h and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - 4*b + 2*b - 2)*(12 + 2 - 4)*(3 - 3 - b).\nAnswer: 50*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*n = 476 - 126. What is the highest common divisor of 215 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b - 3. Let l be v(-7). Suppose -33 + 13 = -l*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101953466 is divided by 33984485?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178255062.\nAnswer: 2, 3, 9903059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f**5\/7 + 306*f**4\/7 + 2052*f**3\/7 = 0. Calculate f.\nAnswer: -6, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-21))\/(13\/4*618\/140595).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -5. Let u = 564 - 2829\/5. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 859.5048ng?\nAnswer: 0.8595048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13220 * -1.9\nAnswer: 25118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**(-2)\/q*q)\/q)\/(q\/(q\/q**(-2\/9)))*q\/(q\/(q\/(q*q**4\/q)))*q\/(q\/(q*q\/q**(5\/2)*q*q)))**(-7\/6) assuming q is positive.\nAnswer: q**(413\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2745 and 32391?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7191247, 14382426, 21573607, 28764790, 35955975, 43147162, 50338351?\n\"Answer: w**2 + 7191176*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -5*z - 5. Let s be r(-5). Find the common denominator of 59\/20 and ((-146)\/s)\/((-336)\/105).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 62 - 38 = -5*c + r - 42, 0 = 5*c + r - 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*i - 37*i - 36*i + 106*i + 5*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*y - 18 = 0, m - 2*y - 3 - 7 = 0. Suppose 4 = m*i - 0*i. Let d(x) = 4*x. Let v be d(i). What is the highest common factor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3375767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = p + p + 60, -p = 0. Let w be (-3)\/(-5) - 6\/f. Which is the closest to -0.1?  (a) w  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 3:05 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - -1)\/(8\/(-136)). Let o = u - -428\/5. Which is the third smallest value?  (a) 2\/21  (b) o  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120 + -2 + 0 + (-186 - (-125 - 65)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3009, 23755, 80059, 189699, 370453, 640099, 1016415, 1517179?\nAnswer: 2160169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, -2, 0.3, -76?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 1. Let c = 3 + 11. Suppose -2*l + c = -4*w, -5*w + i - 25 = -4*l. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**5\/3 + 241702*w**4 + 43814650899*w**3 - 262892981156*w**2\/3 - 131445402916*w = 0. Calculate w.\nAnswer: -362554, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*x = -35*x + 11184 - 47038. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2 + 4*(-1*sqrt(2299)*1 + (4 + sqrt(2299))*-3)*1))**2.\nAnswer: 259072*sqrt(19) + 9450560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3428.7 + 3429. Which is the smallest value?  (a) -215  (b) -1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3411272*o**3 - 23884128*o**2 - 36570*o - 14.\nAnswer: -2*(o + 7)*(1306*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - b + 78 = 79, 37 = 4*w + 5*b. Let f(m) be the second derivative of 0*m**2 + 1\/22*m**w + 0 + 1\/132*m**4 - m. Determine t so that f(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 27, -5.76, 5, -3, 0.1?\nAnswer: -5.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (4*7\/(-224))\/((-7)\/(-364))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j - 181. Let o be x(-36). Sort -74, o, 5, 3 in ascending order.\nAnswer: -74, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19598 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from iiikiiiiki.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -1219*a**2. Let r(i) = -62*i**2 - 3*i. What is r(s(t))?\nAnswer: -92129582*t**4 + 3657*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 71 - 73. Does 14 divide ((-26)\/39)\/(c\/282 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 766 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 36\/19, 0.5, -3\/2, 556?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.31 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 200 = 7*t. What is the least common multiple of 28 and t?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 15\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 0 - 1\/840*q**7 + 0*q + 1\/1344*q**8 + 1\/120*q**5 - 1\/240*q**6 + 9*q**2 + 1\/96*q**4 - 1\/24*q**3. Factor x(o).\nAnswer: (o - 1)**3*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l**2 + l**2 - 3*l**2)*(-19*l**2 - 146*l - 2*l**2 - 2*l**2 - 206*l) to the form p + r*l**4 + v*l**3 + d*l**2 + y*l and give v.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*f - 29 = 0, -2*m - 3*f + 17 = -1. Let u**3 - 1 + 0 - 3*u + u**4 + u + u**m = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47103784 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - -7. Let i = l + 6. Let u be 15\/28 - 4\/14. Which is the closest to 1?  (a) u  (b) -5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57924923?\nAnswer: 7, 41, 201829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 5349*y - 224709. What is h(42)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16576222 by 4.\nAnswer: 8288111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7554 + 7899. What is the remainder when 350 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**3 - x**2 - 7*x + 5. Let r be w(-3). Let k(v) = -85 - r - v + 170. Let l = -8 - -2. Give k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 + 2*b**2 + 3*b + 1. Suppose x = -x - 4. Calculate n(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 14 + -9 + 6 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 217\/45 - 47\/9. Are r and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 7*n + 40. Let x be s(-11). Let t(b) = -b**3 - 37*b**2 - 9*b + 28. What are the prime factors of t(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 700231.\nAnswer: 7, 167, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9 - (-1 - -149)*-1. Solve v*q = 132*q - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 131031?\nAnswer: 131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 325609656020 and 0.2.\nAnswer: 325609656020.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 188544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 440 - 492. Calculate the remainder when 122 is divided by ((-66)\/(-8))\/(2 - x\/(-32)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 9.7. Let s = -0.6 - g. Which is the third biggest value?  (a) -4  (b) s  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21453 is divided by 20499?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 4*m**2 - m - 2. Let h be p(-3). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 464475, 928936, 1393397?\n\"Answer: 464461*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 364 = 6*f - 2*f. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 203\/72 + -73\/24. Which is the closest to 1?  (a) -81  (b) l  (c) 2  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f*f**15)\/f*f**(-3\/20))\/(f\/(f*f\/(f**(-4)*f)*f*f)*f*f)**(-29))**(-2\/75) assuming f is positive.\nAnswer: f**(2003\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/306 and 55\/94158?\nAnswer: 1600686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 10:13 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 - -26. Let f = t - -101. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -129 - 58. Let r = v + 134. Let z = r - -66. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p - p**3 + 2*p**2 - p**3 + 7*p = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 128439 and 17?\nAnswer: 2183463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 5 - 8 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/20)\/((-2)\/20). Suppose -t + 179 = 5*u. Let v = u - 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 2 = p, 4*b = 3*p + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 991300985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2359d9 (base 14) in base 10?\nAnswer: 1206571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 9 + 4 = 0. Which is smaller: -2\/21 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*x - 2 = 0, 4*w + 4*x = -0*w. Let r = w + 17. Let l = r - 13. Solve 5*g - 32 = -3*b, -g - 8 = -l*b - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14575\/34 + -25610077\/59738. What is the common denominator of 68\/753 and q?\nAnswer: 5271","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 303 divide 43652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**2*o**3*t - 2*d**2*t**2*z + d*o**3*t*z**2 + 1319*o**3*t**2*z**3 - o**3*z - 722*o**2*t*z**3 wrt t?\nAnswer: -4*d**2*z + 2638*o**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8867160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 5 = -1. Is 1\/4 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-2))\/(1041\/347)*1\/(-12)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28110 < 527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*f + 39*f - 2*f**3 + 80*f**2.\nAnswer: -2*f**3 + 80*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (11\/((-3)\/3))\/(-2222 + 2213). Suppose 0 = -7*o + 3*o + 16. Suppose -5*u = -6 - o. Does u = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 + (-35 - -146) + -52?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1)**(-20\/9)\/((f\/f**(1\/7))\/(f\/(f*f*f\/f**3))) assuming f is positive.\nAnswer: f**(-131\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182 - 3*t**3 + 181 - 356.\nAnswer: -3*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 13*v**2 - 27*v - 18. Let w(d) = 6*d**2 - 13*d - 9. Let m(f) = 2*b(f) - 5*w(f). Let a(u) = -2*u**2 + 5*u + 4. Calculate 9*a(r) - 4*m(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 6*o + 9 + 5*o - o**2 + 3. Let y be s(0). Solve -32 = -4*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1837*b**2*n + 5022875*b**2 - 67*b*n - 33*n + 29 with respect to n.\nAnswer: 1837*b**2 - 67*b - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lekk when four letters picked without replacement from kekkkjjejkjljke.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11411239348 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5974 divided by -206\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (682\/154)\/(-31)*7\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 71*s**5 - 2*s**3\/3 - 1796*s - 533. What is the derivative of z(w) wrt w?\nAnswer: 1420*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 divided by 5?\nAnswer: -136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2206 is divided by 438?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -47857 to the nearest one hundred.\nAnswer: -47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 - 53. What is the tens digit of 21\/a*-4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/24 and 103\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -22. Let z be -3 + 14\/4 + (-6)\/m. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 + 24. Let m(j) = -j**2 + 15*j - 10. Let c be m(a). Suppose d - 91 = c. What is the greatest common divisor of d and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/16 + (-9)\/(-4). Suppose 0 = 5*i - h*f - 68, -5*i - 3*f = -4 - 44. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*j + 22 = 0, -15 - 17 = -4*w - 4*j. Let t = -15 + w. What is the remainder when 18 is divided by 12\/t*(-60)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 60*b - 139*b + 46*b + (-3 + 0 - 2)*(-1 - b + 1).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 8462842 + 8462842.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 6*j**2 + 8*j + 3. Let r be w(-4). Let b be -11 + 3 - (3\/r + -4). What is the biggest value in -0.4, 4\/5, b, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 868 = -1134. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1027916 rounded to the nearest 10000?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, l: 6, b: 4}. What is prob of picking 3 c?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**3\/3 - 7. Let r(k) = -2*k**2. Calculate q(r(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from njjjjn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -2  (c) -3\/4  (d) 1  (e) 3  (f) -38  (g) -2\/51\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = 7*w - 24. Calculate the remainder when 177 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2. Let b(y) = -106*y + 24430. Give b(g(o)).\nAnswer: -106*o**2 + 24430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q + 5*c - 2, 9*q - 10 = 4*q - 2*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516 is divided by 180.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 2*o**3 + o**2)*(-15665 + 15668 + 2*o**2 + 205*o - o**2).\nAnswer: 2*o**5 + 410*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/20*4\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*o - 11 = 0, 5*f + 15 = o - 0. Is ((-12)\/6)\/(f\/782) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -142946*m**2 - 430114*m - 3828.\nAnswer: -2*(m + 3)*(71473*m + 638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**0\/o)\/(o*o*o**4))\/((((o\/(o**(-1\/6)\/o))\/o)\/o)\/o*o\/(o**(-1\/7)*o)*o*o))\/((o**1)**18\/(o**1\/o)**(-34)) assuming o is positive.\nAnswer: o**(-1063\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*h - 609 = -333*h - 491*h + 671. Let 36*k**h + 6\/5*k**3 + 0*k + 0 = 0. Calculate k.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + 5*f**2. Let n be v(-5). Suppose -3*t + n = -3. Does 3 divide ((-1)\/(-3))\/(t\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**41*f\/(f*f\/(f\/(f*f**(-35)))*f)*f*f)\/(f\/(f*f**(-1\/24)))**17 assuming f is positive.\nAnswer: f**(1831\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(-1560)*26*90.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6608433 by 17529.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ycyykckdykqykyy. What is prob of sequence yqk?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27\/34 + -1491\/272. Calculate the common denominator of (-182)\/(-16)*2\/19 and s.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 342 = 5*k, -4*k + 0*k = -2*r - 276. Let z = k + -31. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/37, 0.19, 2\/5, 9\/19, 0.03?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 13) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(500)*1 - sqrt(500).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, b: 1, u: 1, v: 1, p: 2}. What is prob of sequence po?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 16074*r**2 - 658*r - 2303. Let s(b) = -98*b**2 + 4*b + 14. Let w(j) = -2*a(j) - 329*s(j). Let g(v) = -12*v**2. Give w(g(k)).\nAnswer: 13536*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0. Let n = 4.05 - 0.05. Let f = n - k. What is the smallest value in -3, f, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*l + 77338 - 19812 = 0. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2) - (sqrt(6)\/sqrt(3) + 2)) - -4*sqrt(8)*-3) + 5.\nAnswer: -24*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16894 (base 14) to base 9.\nAnswer: 85544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-44275)\/(-69)*(4 - 1).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(((-132)\/8)\/11). Solve -2 = 4*b - l + s, 5*b + 4*l = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1739154 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6413 and 10495484?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.9 + -4.8. Let i = 4 - 12. Which is the closest to p?  (a) -1  (b) -2\/9  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 7*l = 8*l - 18, 5*w - 2*l - 24 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 (base 6) in base 12?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-20169)\/(-415))\/(136\/85). Find m such that 3\/8*m**3 - 9\/8*m**2 - 135\/8*m - v = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 891 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2 = 0, 0*p + 2*p = h + 23. Let g be (4\/p)\/(2\/12). Solve g*a + 10 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 1. What is the first derivative of 2*v - 2*v**4 - 2*v**4 - 1 - a*v wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b*p**3*u + 4*b*p + 857*b*u + 334*p*u + 4*u wrt p.\nAnswer: 9*b*p**2*u + 4*b + 334*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -72*p**3 + 2*p**2 - 3*p - 4. Let k = 7 + 1. Suppose -6*v = -k*v - 4. Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/2112 and -143\/408.\nAnswer: 35904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(931) + sqrt(931) + -3)**2 - (5 + -3*(sqrt(19) + 4)).\nAnswer: -81*sqrt(19) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 1242*l + 1236*l + 36 = 0, 30 = c - l for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 450431 divided by 4\nAnswer: 450431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10313373 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.021927 and -0.4.\nAnswer: 0.0087708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 69 = -4*n. Suppose 4*t - 21 = n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 10*y - 7. Let k be 5*(4\/22 + 89\/55). Let a be q(k). Suppose -4*h = -3*h - 20. What is the highest common divisor of h and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.03 and -34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 256 + -253. Find the third derivative of 282*j**3 - 18*j**2 - 144*j**3 - 64*j**5 - 138*j**c wrt j.\nAnswer: -3840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2237 + 51421\/23. Calculate the common denominator of 61\/46 and r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1004a (base 14) to base 7\nAnswer: 220123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820 is divided by 820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 491142?\nAnswer: 2, 3, 23, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/30 and 145\/246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -r**4\/3 - 17*r. Let d(w) = -4*w**2. Give d(l(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 3\/5, -41, 2, -1\/2, -1320?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - (-18)\/1) + -3. Factor 5 - o*h - 5*h**2 - 5*h**2 + 10*h**3 + 2*h + 5*h**2.\nAnswer: 5*(h - 1)*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 6\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iririiirriiriiirrii. What is prob of picking 2 r?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - 4034341?\nAnswer: -4034340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -13*i + 3*i**2 + 30*i - 31*i**3 - 4 + 1 - 14*i. What is the hundreds digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10d - 30?\nAnswer: -13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 - 12*l**2 - 3. Let b be x(12). Let g be (-24)\/(-28)*b\/6. Let y(w) = w**2 - 2*w - 2. Let i be y(3). Which is greater: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -2, 1\/3, 3\/5, -1703 in increasing order.\nAnswer: -1703, -115, -2, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 6*n - 2. Let s be o(7). Calculate the remainder when 19 is divided by (-30)\/(-4)*(-6)\/s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20879202.\nAnswer: 2, 3, 61, 57047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12666, -17, 0, -10 in ascending order.\nAnswer: -12666, -17, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 54, 64, 74?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n**2. Let x(t) = 7*t**2 - 2. Calculate x(i(h)).\nAnswer: 63*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, r: 2, t: 1, x: 4, z: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 17. Suppose -3*t - t + 3*h = -15, 0 = 5*t - 5*h - 25. Let x be s(t). Solve -5*p = 4*u + x, 3*p + 13 = -0*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 345 divide 167161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, g: 1, p: 1, f: 1, x: 2}. Give prob of sequence fp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) -1  (c) 0.5  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) 1\/4  (b) -1\/8  (c) -1.2  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15390.82 litres?\nAnswer: 15390820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 5*b**2 + 3*b + 1. Suppose 2*g = -a + 9, 3*g = 8*g + 2*a - 22. Let j be d(g). List the prime factors of (-2)\/j + (-140)\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (5 + (28 - 8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -133254?\nAnswer: -133252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kt when two letters picked without replacement from azkthts?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 6*y**4 - 3 - y**2 + 0*y**4 - 5*y**4 as b + o*y**3 + q*y**2 + t*y + z*y**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*942\/27*(-333)\/6. Let p = 162 - m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k. Suppose 36*t + 5 = 35*t. Let q(s) = -s**2 - 6*s - 2. Let z be q(t). Suppose c + 5*p - 9 = 0, -c + z*p = -p + 9. What is n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/4)\/(145\/696)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.201 in -3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a - 5*a + a + (-1 + 6 - 3)*(2*a + 3*a - 6*a))*(13*a - 19*a - 22*a + (4 - 3 - 3)*(a - a + 2*a))*(-3 + 6 + 4) in the form c*a**2 + n*a + b and give c.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -14269, -14707, -15151, -15601, -16057, -16519?\n\"Answer: -3*t**2 - 429*t - 13837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**5\/7 - 22*t**4\/7 + 54*t**3\/7 - 50*t**2\/7 + 16*t\/7 = 0. What is t?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 746 divided by 11925?\nAnswer: 746\/11925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25529581018242 - -0.3.\nAnswer: 25529581018242.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/(n\/(n**(4\/7)\/n*n)))**(21\/2))**(3\/10) assuming n is positive.\nAnswer: n**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 4 = -q, -4*m = -2*q + 10 - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 9*g - 7. Let l(h) = -5*h + 4. Let c(f) = 7*l(f) + 4*r(f). Let x(n) = 24*n**2 - n. What is x(c(j))?\nAnswer: 24*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 13974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 22 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -70634378, -141268756, -211903134?\n\"Answer: -70634378*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*j**5 + 16*j - 36*j**2 + 16 + 4*j**4 - 4*j**3 - 23*j**5 - 40*j**3.\nAnswer: 4*(j - 2)*(j + 1)**3*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 0. Suppose 9*v = 7*v - 4. Put 2, v, f in descending order.\nAnswer: 2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 11*f + 11. Determine q(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + y - 60372, 7*k - 5*y - 40231 = 9*k. Let l = -8963 - k. Round l to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4474 or 4476?\nAnswer: 4476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b - 3*b - 8*b - 6*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (24\/(-72))\/(2*(-3)\/36). What is the third smallest value in 5, 1\/5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-2))\/(3\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.086 + -0.486. What is the nearest to -0.1 in q, 5, 0.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46103161 (base 7) in base 16?\nAnswer: -3d4f4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**5\/9 - 1334998*p**4\/9 + 33005946450*p**3 - 22037706094169138*p**2\/9 + 837003959548203028*p\/9.\nAnswer: 2*p*(p - 222487)**3*(p - 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 + 15*n + 16. Let g(f) = -206*f + 611. Let u be g(3). Determine b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k - 1. Let v be y(0). Let m be ((-2)\/(-4))\/(v\/(-92)). Is 23 a factor of 1*-3*m\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 3 - (-11 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**2 + v**2 + 1 - 4*v + 3*v + 3*v in the form x + s*v**2 + h*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-2\/21))**(-32) assuming i is positive.\nAnswer: i**(-736\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 9*j. Let n(k) = -2*k**2 - 12*k. Let a(y) = -3*n(y) + 4*t(y). Let i(w) be the first derivative of -w**3 + 1. What is a(i(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3652, 7553, 11902, 16921, 22832, 29857, 38218, 48137?\n\"Answer: 37*y**3 + 2*y**2 + 3636*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -1, -4, 1219, 94, -19 in ascending order.\nAnswer: -19, -5, -4, -1, 1, 94, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2200103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2634 divided by 5?\nAnswer: -2634\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -32 + 27 - 2*g + 6*g + 3*g. Let q(a) = -11*a + 6. Let l(d) = 5*p(d) + 4*q(d). Give l(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1201131 + 1033?\nAnswer: 1202230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -6555*i**2. Let s(h) = -6*h**2. Give z(s(r)).\nAnswer: -235980*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -7*i**3 + 379*i**2 - 55*i + 27. Determine d(54).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 5*j - 11 - 5, 3*s = 5*j + 28. Suppose -2*k = 3*c - 47 + 19, -c + s = 4*k. Let n(b) = b**3 - 6*b**2 - 7*b + 7. Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = k + 8*k. Solve -2*q = s - 6*s + 2, -q - 1 = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*k**3 - 2252*k**2 - 2*k**3 + 2252*k**2.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*p + 8, -6*p + p = j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4\/9 + 88*t**3\/9 - 280*t**2\/3.\nAnswer: -2*t**2*(t - 30)*(t - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 9. Let x = s - 1. Factor 0 + 1\/3*y**3 + 0*y**x - 1\/3*y.\nAnswer: y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 5 = 11 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -3) + 31 + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 7*g**2 + 10*g - 7. Let p be q(8). Suppose 16*x - 15*x - 225 = 5*l, -3*x + 3*l = -675. What is the highest common factor of p and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 324*z - 245 with respect to z.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -325*a**4 + 3130*a**3 - 2071*a**2 + 14*a + 14 wrt a?\nAnswer: -7800*a + 18780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2174\/7 - 312. Let m = 57462.1 - 57462. Is m at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1.89  (b) -2  (c) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 868*p - 3. Let c(v) = -2616*v + 11. What is -7*b(u) - 2*c(u)?\nAnswer: -844*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 54*i. Is 9 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zpzzzppzzzpzzzzzpz. What is prob of picking 4 p?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000302624 rounded to 7 dps?\nAnswer: -0.0003026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -98419*c**2 + 2. Let o(h) = -11*h. Determine o(r(w)).\nAnswer: 1082609*w**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 191847575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*h. Let c(r) = -5*r. Let f(d) = -2*d - 1. Let u(p) = -c(p) + 3*f(p). Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2880) - 3*(sqrt(2880)*1 + sqrt(2880)))\/(sqrt(784)*-1).\nAnswer: 30*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*i + 57*i + 47*i + 44*i + 253*i - 443*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -28*u**2 - 96*u + 2510. Give q(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -14. Let n be 9\/3*(-3 - s). Suppose -7*u - 20 = -n*u. Is u at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 6:55 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.7 and -713581?\nAnswer: 713581.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y + 635 - 125 = 0. Let i be 18\/4 + (-2)\/(-4). Suppose 3*w + i*m = y, -2*m = w - m - 8. Solve 0 = -3*f + 2*h - 6, -2*f + 3*h + 6 = -w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2477836*g**3 + 8352*g**2 - 2*g + 108.\nAnswer: 14867016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + (-36 + 16 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkqkkqkq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*r = -86*r - 7408 - 509 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvq. Give prob of sequence ql.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-7) + 1122\/21. Suppose -f + 4*f = t. Let g = f + -11. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/4 - (-52)\/(-48)) + (-148)\/(-102)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -29\/30*f**6 + 0*f - 22\/15*f**5 + 0 + 0*f**3 + 0*f**4 - 95*f**2. What is the third derivative of o(z) wrt z?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 61703 and 4.\nAnswer: 246812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 194775 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: Solve 33 = -3*h + 2*c + 25, -13*h - 24 = 2*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 - (59 + -22 - 18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 22 = 31. Suppose 6*a = 5*a + i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44391 - -4528777\/102. Let o = r + -186\/17. Find the common denominator of o and -29\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2\/(-2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/6*(5187\/76 + 6) and -21\/1808?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4289*r - 4*z - 4 = 4292*r, 0 = 2*r + 4*z + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (0 + -1 + -2 + 6 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3186*o**2 + 3*o - 3*o + 1068*o**2 + 26*o**3 + 1048*o**2 + 1070*o**2.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*q + 96*q = 221*q - 1040 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -17*d. Let n(i) = 68*i**2 - i - 1. Let p(s) = 349*s**2 - 5*s - 37. Let x(v) = -5*n(v) + p(v). What is z(x(f))?\nAnswer: -153*f**2 + 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) 1  (c) -3\/2  (d) -0.4  (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/35)*n)\/(n*(n*n**(2\/57))\/n)*(n\/(n**(-20)\/n))\/n*n*n**(-30)\/n)**(-6\/11) assuming n is positive.\nAnswer: n**(35822\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12257 is divided by 421.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11722 is divided by 1151?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/55 and 1416\/(-612)*((-2)\/100)\/((-28)\/210)?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 176*h**2 + 564*h + 525. Is s(118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 641, 639, 635, 629, 621, 611, 599?\n\"Answer: -h**2 + h + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1358159351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -98.3 + 98.5. What is the smallest value in t, 1.6, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -3) + 5 - (-3 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.28, -0.4, -0.01, -1\/4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 2)*(-131*q - 75*q + 29*q - 121*q).\nAnswer: 1192*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*r + 6 - 6 + 2*r - r + 0*r + (2*r - 2*r + 2*r)*(0 - 1 + 3).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115993269, -115993267, -115993265?\nAnswer: -115993263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**4\/24 - 2*v**2 - 26. Let g be (1 + (-14)\/10)*-10. Let u(p) = -g*p**2 - p + p. Give u(k(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12277 + 6144 + 124*k**2 + 15*k**3 - 124*k**2 + 6139.\nAnswer: 15*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/2)*t\/(t**(2\/9)*t*t))**(-18)*((t*t**(-3\/4)\/t)\/t**5)\/(t**(1\/9)\/t**(1\/6)) assuming t is positive.\nAnswer: t**(1559\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r**3 + 3*r**2 + 8*r + 3. Let x(y) = -2*y**3 + y**2 + 4*y + 1. Suppose -3*q = -h + 8, 4 = -4*q - 0. Let m(z) = h*x(z) - 3*g(z). Determine m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.452 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/8  (b) 5  (c) -6.4  (d) -3  (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4\/4 - 174585*h**3\/2 + 2536235511*h**2 + 218793818058*h - 915749453880 = 0 for h.\nAnswer: -90, 4, 58238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -123*h - 16. Let g(s) = 4061*s + 524. Let q(z) = -131*c(z) - 4*g(z). Let f(k) = -3*k. What is f(q(j))?\nAnswer: 393*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccvm when four letters picked without replacement from {c: 2, m: 2, d: 5, v: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -430535 divided by 7?\nAnswer: -61505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001095 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**10\/o))\/o**(-3\/8))\/((o*o**(-13)\/o*o)\/((o\/(o**5\/o))\/o)) assuming o is positive.\nAnswer: o**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -12688 divided by -104\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(3267) + 0)*-2)**2 - (-3*sqrt(72) + sqrt(72))\/(3*sqrt(600) - sqrt(600)).\nAnswer: sqrt(3)\/5 + 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -30253729?\nAnswer: -4\/30253729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 5786636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3222030 + -2?\nAnswer: 3222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -2, -1\/16, 0.5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002062780017 rounded to 7 dps?\nAnswer: 0.0020628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 + 25 + 21 + 36)*(0*l - 2*l - 2*l - 4 + 4 + 2*l - l + 0*l - l - 3*l + 6*l - 2*l + (3 + 1 - 2)*(-l + 3*l + 0*l)).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 13*n - 9. Calculate b(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89958473.\nAnswer: 11, 8178043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j + 21*j**2 + j - 23*j**2 + 2*j**2 - 26324*j**3.\nAnswer: -26324*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -49 + 17 - 3*d**2 - d + d in the form j + n*d**2 + k*d and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 4*n**3 - 6*n**2 + 23*n + 3. Let u(a) = a**3 + a**2 + a + 1. Let g(y) = 3*u(y) - w(y). Let g(d) = 0. Calculate d.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3229339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-84))\/(24\/(-16) - -2). Sort 0.1, -2\/5, b, 3, 8.\nAnswer: -2\/5, b, 0.1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-2\/3)*d*d)\/(d*d*d\/d**3*d))\/((d*(d**(2\/7)\/d)\/d)\/d**(1\/11)) assuming d is positive.\nAnswer: d**(494\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*v - 62*v - 13*v = -1312049. Is v <= 9579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - c = -28, 1444*c - 1440*c - 52 = -5*n. Let -11\/2*w - 2*w**3 - 21\/4*w**2 - 1\/4*w**n - 2 = 0. What is w?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/20 + 2\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, -5, 0.6, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, 0.6, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.743264 to two dps.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4119 - -4353. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 3*m**2 + 3*m. Let t be i(2). Suppose -u + w - 3*w + t = 0, -9 = -3*u - 3*w. Is (-6)\/u + (-355)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -130*m + 102353 - 107813 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s**2 + 4*s. Let h(n) = 3*n**2 - 3*n. Let k(a) = 4*h(a) + 3*t(a). Let g(z) be the first derivative of 15\/2*z**2 + 1 + 0*z. Determine g(k(x)).\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -45*j - 583. Let m(q) = -6*q + 1. Let i(n) = 12*n - 2. Give j*m(y) - 6*i(y).\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2027188171 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -26*f + 2. Determine v(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 15) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19072457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l - 5*l**2 + 6*l**2 + 2*l + 4*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.7 and 17.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2180*k*r**3 + 20*k*r**2 - 59694*k + 2*r**3 - 35 wrt r.\nAnswer: -6540*k*r**2 + 40*k*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 18484 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*z + 6*z**4 - 1233*z**2 + 1233*z**2 as w*z**4 + v*z**3 + h*z + n + t*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -77*o + 80*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 12:49 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233582717?\nAnswer: 233582717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 833016?\nAnswer: 2, 3, 61, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*n**2\/8 + 285*n\/2 + 63\/2 = 0.\nAnswer: -42, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37053 + -37049. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451997 is divided by 833.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28653342 and 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 25 = -c + 347, 4*j + 1304 = 4*c. Let s = -172 + c. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f**2 + 2*f - 5. Let n(u) be the second derivative of u**4\/12 - u**3\/6 + u**2\/2 - 1146*u. What is 4*n(c) + 2*q(c)?\nAnswer: -2*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from fiiiiifi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*1*10\/15. Let d(y) = 5*y**2 + 3*y - 28. Let p be d(3). Put 5, q, p in descending order.\nAnswer: p, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -289 divided by -10?\nAnswer: 289\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, z: 2, y: 6, c: 1, x: 9}. Give prob of sequence xxyz.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-12) + (-217018)\/(-6). Suppose a = 50*s - 14431. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/2 and 91\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w - 30*w - w. Let m(g) = -3*g - 22. Let n(p) = -4*p - 33. Let c(v) = -3*m(v) + 2*n(v). Calculate c(o(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 5 = 4*b - b, -b + 15 = 4*k. Solve 3*i + 4 = -k*m, 0 = -m - i + 1 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-10)\/(x*x\/(x*x\/x**12)))**(-1\/4)*(x\/((((x*x**9)\/x)\/x)\/x))\/(x*x*x**7*x)*(x**(2\/7))**(-33) assuming x is positive.\nAnswer: x**(-279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000023709 rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9994261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -204\/11  (b) -2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**2 + 13*v - 34. Give q(-4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -j**7\/105 + 4*j**6\/75 - 2*j**5\/25 + 8*j. Factor x(k).\nAnswer: -2*k**3*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 1657607118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(7\/5))**(-12)*y**13*y*(y*y*y\/(y\/(y\/(y*(y**20*y*y*y*y*y*y*y)\/y)))*y)\/y assuming y is positive.\nAnswer: y**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from rprrprr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/6 - ((-3185)\/30)\/13. Suppose i*u = -25 + 1. Let h = u - -18. Solve -h = -3*w, a - 5*w + 20 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g = 2*g - 25, l - 2*g - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 452 - 426. Suppose 4*h - f = 58. What is the highest common divisor of 357 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1664 + 1606. Sort g, -3, -2, -6 in increasing order.\nAnswer: g, -6, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4 + ((sqrt(432) - (0 + 1*sqrt(432)))**2 - sqrt(432)).\nAnswer: -12*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111013 (base 4) to base 5.\nAnswer: -20401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24375 (base 10) to base 15.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19365 + 19392. Calculate the remainder when 4531 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1536 = -a - g - 368, 0 = -a + 5*g + 1180. Does 39 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 10:55 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 555161, 3\/7, -3 in decreasing order.\nAnswer: 555161, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -c - 2. Suppose 0*t = 2*t - c. Find s, given that 15*s**t - 2 - 3*s**5 + 16*s**3 - 7*s**3 - 3*s**4 + 2 + 6*s = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -77*m**3*u + 5*m**2*u - m*u + 151*m - 2*u + 1 wrt m.\nAnswer: -462*m*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -62 + 61 + 6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/6*(-5 - -2). Let q be 0\/(-2)*i\/(-4). Suppose -z - 3*l - 2*l - 13 = q, -3*l = 2*z + 5. Solve -z - 18 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 + 54 = 83*x + 7. Let d = 44 + -26. What is the third derivative of 23*r**6 - 4*r**x + d*r**2 + 21*r**2 wrt r?\nAnswer: 2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**4\/24 - 4*v**3\/3 + 5*v**2. What is the units digit of b(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 14 = w, w = -4*k - k + 41. Let m = k + -7. Find the first derivative of -6*r**2 + 0 - m*r**2 + 5 wrt r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 376\/9 or 42?\nAnswer: 376\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -885*v - 6268. Calculate s(-6).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 80\/47 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1082 is divided by 182.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3233082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, 5, -4 in decreasing order.\nAnswer: 5, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 577052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -24.46168, -0.2 in increasing order.\nAnswer: -24.46168, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -4\/11, -246, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from eeeeeeppeeeeeecpe?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 36 - 0. Let t be (6 - 3)*20\/z. Find the second derivative of -b + 3*b - 6 + 6 + b**t wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 2:04 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1480 divide 537365800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**5 + 2*q - 2*q)*(-6341 + 1148 - 636).\nAnswer: -5829*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3682109987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*t + 1824 = 0, y + 456 = -0*y - 2*t. List the prime factors of y\/(-33) + (-10)\/(-55).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 6. Let d(a) = a**3 + 2*a - 40. Let p be d(0). What are the prime factors of ((-12)\/8)\/w*p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - 17\/(68\/(-2112)). Let m = -293 + b. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2223*w**2 + 10. Let f(u) = 1521*u. Give t(f(p)).\nAnswer: 5142779343*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19872 is divided by 473.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -526 and -1470.\nAnswer: -1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yxxxxxyxxxxxyx. Give prob of sequence xy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3716 - 0.2716. Which is the third biggest value?  (a) -5  (b) 2\/7  (c) 3  (d) w  (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*h - 105*h + 14 - 14.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 + 0.7. Let k = -0.1 + -0.85. Let p = k + -0.05. Which is the nearest to p?  (a) -5  (b) u  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.341256 millilitres in litres?\nAnswer: 0.003341256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4434 + 4432. What is the biggest value in 0.4, 6\/275, -1, p, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 895242551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 288*q - 31051. What is c(108)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, v: 1, q: 1, m: 1, n: 1}. What is prob of picking 1 q, 1 v, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 5010332202?\nAnswer: 5010332201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -363*r**3 + 486717*r**2 - 163877376*r + 487261476.\nAnswer: -3*(r - 3)*(11*r - 7358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c - 781 = 1979. What is the remainder when c is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdu when three letters picked without replacement from lulolrltldouldlldl?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 2*u - 6*u + 723, 3*u = 4*q - 964. Suppose -315 = -4*j + 265. Let t = q - j. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99 + -6 - (1320\/(-30) + 40)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -342, -1115, -2368, -4107, -6338, -9067?\nAnswer: -12300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y + 1. Let d(x) = -3*x. Let s(t) = 2*d(t) - 14*v(t). Calculate the remainder when s(9) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.6 - 5.5. Let s = 4 - k. Put 0.08, s, 3 in increasing order.\nAnswer: s, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -38*k + 46. Sort -2, -4, 0, k in increasing order.\nAnswer: -4, -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 190253, 190491, 190733, 190979, 191229, 191483, 191741?\n\"Answer: 2*f**2 + 232*f + 190019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 0  (b) -0.2  (c) 0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 38*u + 203. Let i be g(-22). Let a = i + 1305. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 - 5*q**2 - 3*q + 18. Let g = -17158 + 17161. Determine k(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -264 + 283. Suppose f*t - 49 = 27. Which is the nearest to 8?  (a) 0  (b) -1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*1 - (-6 - -5). Let z = 5 - h. Suppose 3*s + 10 = z*s. Solve 0*t = s*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by 31.\nAnswer: -56\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29)\/(-493) + (-137)\/17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 0*h - 12. Suppose 62 + 38 = 4*x. Suppose o + x = h*o. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 793312030 a multiple of 7166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 4*x - 10 = 0, y - 6*y - 2*x = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -303, -298, -281, -246, -187, -98?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/22 and 59\/632468?\nAnswer: 6957148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-3 + 2*(sqrt(2700) + 1) + (sqrt(2700) - (sqrt(2700) + -1*sqrt(2700) + 3)) + -2)*-2)**2.\nAnswer: -4320*sqrt(3) + 97342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/8*5\/(-15)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -13*x**2 - 7*x - 37. Let j(k) = -6*k**2 - 3*k - 18. Calculate 9*j(o) - 4*n(o).\nAnswer: -2*o**2 + o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 6430000 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*v = 25*v + 2*r + 4, 22*r = -44 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 259\/1125 - 1\/125. Suppose u + 391 = 4*k + 38, 478 = 5*k + 4*u. What is the smallest value in k, 0.3, w, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2 = -3*y + 5*y, 4*k + 4*y - 20 = 0. Suppose k*s - s = -2*s. Suppose -3*l - 3*g + 3 = s, -3*l + 1 = 3*g + 2*g. Solve l*f - 7 + 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 6*d**2 - 6*d. Let x be k(-5). Suppose -10 = x*o - 20. Solve 2*w - o = 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1224030 (base 5) in base 3?\nAnswer: 1012102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 6:28 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -1. Let b(q) = -5*q + 6. Let p(n) = b(n) + 2*f(n). Let j be p(-2). Let k = 75 + -68. Calculate the greatest common factor of k and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 179 = 80. Let d = 147 + -147.4. Which is the second smallest value?  (a) p  (b) 4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-15)\/k*k*k*k)\/k)\/(k*k**(-2\/59)\/k))**16 assuming k is positive.\nAnswer: k**(-12240\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018703636163 rounded to six decimal places?\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -14, 2110 in decreasing order.\nAnswer: 2110, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34983467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -12  (b) 3\/7  (c) 13  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 4671.54878?\nAnswer: 4671.54878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*t**2 + 9*t - 3*t**2 - t**4 - 1 - t**3 - 11*t to the form v*t + o*t**4 + g*t**2 + j + n*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 12, 0 = -3*n + 3*o + 85 + 11. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 5*s**3 - 13088291*s**2 + 78529719*s\/5 - 23558913\/5 = 0.\nAnswer: 3\/5, 2617657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*x + 19*x**4 - 1 + 25*x**4 - 5*x - 13*x**4 + 4*x to k + j*x**4 + n*x**2 + b*x + t*x**3 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 0, 3, 4, -192388, -3.\nAnswer: -192388, -5, -3, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 + 1. Let u be (-10)\/(-21) + 8\/(-56). Let v = -2 - 2. Which is the nearest to t?  (a) v  (b) u  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 158001627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -976, -1202, -1428?\nAnswer: -1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t - 6. Let c(x) = -2*x + 5. Let r(s) = 3*a(s) + 4*c(s). Let q = -3 + 0. Calculate r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.01 + 0.01. Are o and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 2*k**3\/3 - k**2 + k + 1. Suppose -p = u + 4*u - 13, 2*p = -4*u + 14. What is m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 500?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -17*u**3\/6 + 35*u**2\/2 - 5*u - 5. Let k be g(0). Let s = 569 - 254. What is the greatest common factor of k and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85238 divided by -28\nAnswer: 42619\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**3\/13 + 132*r**2\/13 - 138*r\/13 - 268\/13 = 0.\nAnswer: -67, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -1323?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2. Let p(k) = -841*k**2 + 59*k. Calculate p(g(z)).\nAnswer: -841*z**4 - 59*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1445.3 less than -24271.3?\nAnswer: -22826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 10:53 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -660993.732 rounded to the nearest 1000?\nAnswer: -661000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4620573567 to the power of 1\/2, to the nearest integer?\nAnswer: 67975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - 5274*c**2 - 265779*c + 271050.\nAnswer: 3*(c - 1807)*(c - 1)*(c + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 289 and 4?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102444, -205590, -308740, -411894?\nAnswer: -515052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*d - 341, -434 = -4*d - 3*h - 2. Suppose 4*o + 5 + d = 0. Let s = -11 - o. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -2*j - 24 - 12, i = -2*j - 16. Let m = 27 - j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, c: 2, m: 3, h: 1, t: 1, i: 3}. What is prob of sequence ghm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**3)**(-42)*(n**(-3\/2))**(10\/7))**(1\/65) assuming n is positive.\nAnswer: n**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from oifofsdddf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -5*m + 3, -3*l = -5*m + 9*m - 10. Suppose -l*h + 14*h = 180. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 15 = -s + 3*c, -2*s - 10 = -4*c. Suppose -m - 2 = -2*m. What is the greatest common factor of m and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32202 and 423993?\nAnswer: 2543958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -388*n = -383*n - 755. List the prime factors of n.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4391 + -0.1409. Sort 1, c, 0.5 in ascending order.\nAnswer: c, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 - -14. Let n = u + 31. Solve 4*d + 4 + n = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 166 and 1668676654.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 2*h + 5*a + 87, -90 = 2*h + 4*a. Let u be (-8)\/h*69\/(-92). Put u, 3, -4, -1\/5 in decreasing order.\nAnswer: 3, u, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10\/4)\/(3\/6). Suppose k - 6 = -2*l + 2*k, -w*l - 4*k = -28. Solve -m = l*n + n - 5, 3 = -n - m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-168)\/(-237)) - (-16488)\/(-14656)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + j + 1. Let z(o) = 2 - 22*o**3 - 26*o**3 - 9*o**2 - 1 + 71*o**3 - 25*o**3 + 13*o. Let f(g) = -c(g) + z(g). Let f(r) = 0. Calculate r.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scjga. What is prob of sequence js?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t**2 - 11*t - 6*t**2 - 5*t**2 + 11. Let a(f) = -2*f**2 - 3*f + 3. Let x = 260 - 266. What is x*g(w) + 22*a(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swcwmsewccwwecwws. What is prob of picking 1 c and 1 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1232cf - -8?\nAnswer: 1232d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (63\/140)\/(3\/41) and ((-185)\/(-140))\/((-2)\/(-12))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(1\/(-4)*-1). Let h be (-1 + z)\/((-6)\/(-8)). Suppose -3 = h*r - 7. Put -4, 2, r in decreasing order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19.53 - 20.361. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98\/4606 + (-1314)\/(-94).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(152) + (sqrt(152)*2 - sqrt(152))))\/sqrt(8).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-10)*x**13\/x)**(6\/29))**49)**(-2\/101) assuming x is positive.\nAnswer: x**(-1176\/2929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a85a (base 13) to base 12.\nAnswer: -80222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Convert 2.779559 days to hours.\nAnswer: 66.709416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -77?  (a) -55191  (b) 0.3  (c) -3  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1025541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 times -1839751?\nAnswer: -207891863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/200 and 13\/17750?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-4) + 177\/4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.019 or -171.3955?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4951029037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8a (base 15) to base 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 19*i + 0*i**2 + 0*i**3 + 1\/12*i**4 + 0. Let m(c) = -3*c + 3*c + 2*c. Give j(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 6:21 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 442115 + -105554?\nAnswer: 332121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -333 + 711. Calculate the greatest common divisor of 54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3546905, 3546886, 3546867, 3546848?\n\"Answer: -19*t + 3546924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 302827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 4. Let w(g) = 3*g**3 - 4*g**2 - g - 258. Determine 5*r(u) - w(u).\nAnswer: 2*u**3 + 4*u**2 + u + 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 35, -31 = -443*v + 438*v + 3*l. Which is the closest to 0.06?  (a) -4  (b) v  (c) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -5  (b) -730  (c) 245  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -755  (b) -2\/75  (c) -502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3 = -3*s. Let y be 2 - (s - (0 - 2)). What is the smallest value in y, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9652\/55537*2\/(-1). Let m = -36\/79 - w. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -14 + 7 + 6 + -12 + -48.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3943381ml to litres.\nAnswer: 0.0003943381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 13*o**2 + 13. Let c be p(13). Suppose 11*l - c*l + 6 = 0. Solve -17 = -l*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**4\/4 - 4*d**3 - 61*d**2\/4 - 33*d\/2.\nAnswer: -d*(d + 2)*(d + 3)*(d + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-168)\/(-35))\/(-4)*-4*(-60)\/24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.24093 rounded to 1 decimal place?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**5\/15 - 4*c**4 + 46*c**3\/3 + c**2 - 716*c. Factor h(f).\nAnswer: 4*(f - 23)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.07351875 rounded to 3 dps?\nAnswer: -21.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3934, -7862, -11790, -15718?\nAnswer: -19646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -267 + 301. Let y(h) = 11*h + 29. Let g(o) = 2*o + 8. Let w(n) = -2*n - 9. Let z(q) = -4*g(q) - 3*w(q). Determine b*z(s) + 6*y(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(0\/2)\/((-16)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/12792738 and -92\/6783?\nAnswer: 12792738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/4*2*-6. Let a be w + (3*4)\/2. Suppose -a*f + b + 32 = -14, -5*b - 9 = -2*f. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6153210 + 9.77.\nAnswer: -6153200.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-4 - 8) - (-28 + -3)) + -7 - -11?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*a = -d - 20, 5*a - 35 = 4*d. Suppose 2640 = -17*w - 3*w. Let g = 117 + w. Is g smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 0*a - 3*a - 1816, 0 = -q - 4*a - 918. List the prime factors of (-1)\/2*(q + -14).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -365, -275, 9.\nAnswer: -365, -275, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) + -2*sqrt(190)*5)\/sqrt(10))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 147\/2*(7 - 238\/42) + -4. Is g greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 983391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 97 + 142?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 24, -26, -150, -354, -644?\n\"Answer: -i**3 - 31*i**2 + 50*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.0578  (b) 3  (c) -5  (d) 14\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 - 21 - h - 17*h + 26 to a + b*h and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.51 - -2.51. What is the nearest to 4 in 0.06, q, -2\/83, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -32*p**3 - 2 - 8*p**2 + 3 + 27*p**3 + 3 - 1 + 4*p. Does 13 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/71908 and -89\/3500?\nAnswer: 62919500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, -2, -2\/3, 16 in decreasing order.\nAnswer: 16, -0.03, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 9*s - 6. Let t be m(-8). Suppose -t*u - 2*u = -5*i + 19, -4*u + 30 = 2*i. Let c be (i\/(-3) - -2)*-3. Is c at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15.19 + -15. Let u = d - -0.11. Which is the third biggest value?  (a) -0.2  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n + 51. Let k(v) = 2*v - 139. Calculate s(k(u)).\nAnswer: -2*u + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00766966614 rounded to seven dps?\nAnswer: 0.0076697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12845*o**2 - 5153*o\/2 - 3\/2 = 0. What is o?\nAnswer: -1\/5, -3\/5138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -385*p + 5072. Let n be m(13). Solve -2*d = n - 75 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/1681  (b) 195  (c) -2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/21 - 1025\/(-7). Let s = -49 + b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) - (2 + sqrt(1053))*-4 - sqrt(1053)*2*-1) + sqrt(1053) + -2 + 0 + sqrt(1053) + -2*sqrt(1053) + -3)**2.\nAnswer: 378*sqrt(13) + 51606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.031857109 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 n, 1 g, and 1 u when four letters picked without replacement from ngntgug.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3295850 by -10.\nAnswer: -329585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 6:38 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 7*n = 0, 0 = -2*g - n - 30. Let o be (12\/g + 0\/4)\/(-2). Which is the second smallest value?  (a) -0.8  (b) o  (c) -0.1  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**2 - 7*x + 37. Calculate d(10).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 - 27065*i - 352186. Calculate q(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o + 11. Let u be (-6 - -1)\/(1*-1). What is the tens digit of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -114 and -49.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 0*p**2 + 1 + 0*p**2 + p + p**2. Let h be (-2)\/(-6)*(30\/10 + -3). What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 98 + 9. Let w = q - 68. Calculate the remainder when w is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of b**5\/5 + b**3\/6 - 26*b**2 - 5*b - 60. Let r(v) be the first derivative of z(v). What is the first derivative of r(a) wrt a?\nAnswer: 12*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270*((-114)\/19 - 80\/(-6)) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/11*-2 + 304*5\/13200?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/13)*(n\/n**(-4)*n)\/n)\/((n\/(n*n*n**(2\/25)*n*n*n))\/n**3) assuming n is positive.\nAnswer: n**(3976\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 153 - 157. Let l be 13\/20 - 1\/4. Which is the closest to l?  (a) 2\/11  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4805\/3, -4, -18\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1\/2, -6, -14.\nAnswer: -14, -6, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 4*o**2 + 2*o - 2. Let p be t(-2). Suppose 1 + p = -g. Let j = g + 7. Solve -3*w - j = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 519 = 5*z - 386. What is the remainder when z is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 6:06 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -212*z - 1 + 95*z - 101*z. Let r be l(-1). Suppose 3*m + r = 4*b, b + 12 - 70 = -3*m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u - 3. Let d(b) = -3*b + 4. Let z(i) = 3*d(i) + 4*k(i). Let n be z(-12). Calculate the greatest common divisor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 209652058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgn when three letters picked without replacement from ginnnfnfijfzfg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -y**3\/3 + 3*y**2\/2 + 2*y. Let q = 6 - 4. Let h be v(q). Is h less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1  (b) 0.28  (c) -0.2  (d) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 0*f + 0*f + f + 3. Suppose -22*t + 3 = -23*t. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10098 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -249 - -252. Solve -2*i = -k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7061.31 - -7061. What is the third smallest value in f, 27, -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.56 times 8?\nAnswer: -244.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 273 and 80220?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*b + 50*b + 225 = 0. What is the highest common factor of 505 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -5*w + 3*p + 6, w + 18 = -5*p. Find the third derivative of -w*j**2 - 228*j**3 + 203*j**3 - 28*j**2 wrt j.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 3\/4, 6.588?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*k - 2124 - 1839 = 2934 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 664426 (base 9) to base 5.\nAnswer: 100200144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*m**3 - 203*m + 203*m + (4*m**3 - 21*m**3 - m**3)*(7 - 2 + 0))*(2*m**2 + 0*m + 0*m).\nAnswer: -154*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*f**2*x - 95*f**2 + 36866*f*x**4 + 23*f wrt x.\nAnswer: 2*f**2 + 147464*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-5)*u\/(u\/(u\/u**(-5))))\/(u**1\/u**(-8)) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 428.66 to the nearest integer.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 2027923697 and 3240.\nAnswer: 2027926937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2907 a factor of 455303423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -56 and 1.6575749.\nAnswer: -54.3424251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3178 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 261, 2054, 6929, 16428, 32093?\n\"Answer: 257*o**3 - o**2 - 3*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -178 divided by 70.\nAnswer: -89\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(2\/3)\/g)**(-5\/2)\/(g**(1\/4)\/(g\/(g\/((g**(-13)*g)\/g)))))**(-1\/8))**(6\/13) assuming g is positive.\nAnswer: g**(149\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {c: 1, r: 7, u: 6}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.09 and -207?\nAnswer: 207.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, r: 2, u: 2, n: 5, s: 1}. Give prob of sequence prr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -10274*t - 30813. What is r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 1230*z - 74079. Calculate x(60).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 12:02 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h*h**1))\/h)**(4\/9))**(-1\/3)\/((h**(-2\/9)\/(h*(h**5\/h*h)\/h*h*h))\/((h\/((h*h\/h**5)\/h)*h)\/(h*h**(4\/3)))) assuming h is positive.\nAnswer: h**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23975 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbfbfbbf. Give prob of picking 2 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 2. Let j be (-2298)\/(-30) + 2\/5. Calculate the greatest common divisor of f and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-1)\/1) + (7 - 225\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0323 + 0.1677. Let m be ((-3)\/2 + 0)*-2. What is the closest to q in -0.1, 5, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 2*b + 15, -284*y + 15 = -281*y + 5*b. Suppose -m = -2 - 2. What is the greatest common factor of m and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*h + 2\/15*h**4 + 0 + 0*h**2 - 4\/15*h**3.\nAnswer: 2*h**3*(h - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 556824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11389, -11393, -11397, -11401, -11405?\nAnswer: -11409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.005, 5, 0.3.\nAnswer: -1, -0.005, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/50)\/((-9)\/((-315)\/(-28)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + -10 + 10 - -1) + (-1 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/777)\/((700\/30)\/(-14)). Let c = -1291\/2590 + i. Is c less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -32320710 to the nearest one hundred thousand.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 7*o. Let z(s) = 159*s - 9 - 318*s + 156*s. Determine w(z(i)).\nAnswer: -21*i - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2581, -5046, -7511?\n\"Answer: -2465*w - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 15*k**3 + 25*k**2 - 88*k + 2. Let v be ((-6)\/39 - 164\/(-52))*1. Let s be m(v). Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - (-3)\/2)*-2 + -3. Suppose 3*d = -5*d + 104. Suppose 5*z + d = g, 6*z + 15 = -3*g + 3*z. Is g greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 13. Let k be c(0). Suppose -4*p - 1 = -k. Suppose -t - 50 = -2*t + 3*m, m = -p*t + 170. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + (-47 - (100 - 106)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of 21*x**2\/2 - 35*x + 8893. What is j(8)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1044 a factor of 1085760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2 = -2. Suppose -2*v - c*v = 174. Which is bigger: v or -30?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*a**3 - 14*a**2 + 1339 wrt a?\nAnswer: 27*a**2 - 28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 1057*h - 16076. Calculate i(15).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 3*y - y**2)*(4 - 15 - 2)*(0 + 0 - y).\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 17*v**2 + 7*v + 59. Let l be g(19). Let y = 1301 + l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 5*w**2 - 1 + 6 + 4*w + 2*w + w**3. Suppose -t - 2 = 0, 0 = -2*f - 0*f - 4*t. Suppose 24 = -2*y - f*h, -y = -3*y - 5*h - 28. Determine a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 2. Let s = v + 2. Solve -3*o + o + 31 = -5*d, -d - 11 = -s*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 10:30 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -16, 2\/2531?\nAnswer: 2\/2531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -109 - af6?\nAnswer: -bff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + 11*k - 12. Let b(i) = 2*i**2 + 23*i - 25. Let o(l) = 6*b(l) - 13*f(l). Let u be o(-5). Put 0, u, 4 in ascending order.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0.1, 5, 0.03, -3.\nAnswer: -7, -3, 0.03, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1011*a**2*g + 7*a*g**2 - 553*g**2 + 5*g - 6 with respect to a.\nAnswer: -2022*a*g + 7*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2156 and 1593823.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 2:08 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*s = 4*j - 108*s + 3, -2*s + 6 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1569 + -1573. Let o = -1\/32 - -71\/224. Which is the closest to -3?  (a) d  (b) 0.4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i - 2. Let h(k) be the first derivative of k**3\/3 + 4*k**2 - k - 9. Let l be h(-7). What is the tens digit of p(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 10:46 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -31383627470267.\nAnswer: -31383627470265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -210039 + 210038.8. Let v be 2\/8*(3 - 1). What is the smallest value in 1, -0.07, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1444\/4295 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 162384 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lur when three letters picked without replacement from {u: 1, k: 1, l: 13, r: 5}.\nAnswer: 13\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 15*v**2 - 13*v + 19. Let r be w(-14). Are r and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 12 = 3*u, 2 = -5*u + 2*a + 6. Let 55*r**3 + 47*r - 24*r**u - 107 - 53*r**3 + 49*r - 21 = 0. Calculate r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68011+67842017.2\nAnswer: 67774006.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -601 + 605. Let q(s) be the third derivative of 0*s**5 - 1\/756*s**8 + 0*s - 1\/945*s**7 + 10*s**2 + 0*s**3 + 0 + 0*s**m + 1\/540*s**6. Factor q(d).\nAnswer: -2*d**3*(d + 1)*(2*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*g**2 + 0)*(4 + 0 - 3) + 198970 + 3*g**2 - g**2 - 3*g**2 - 201639 to the form i*g**2 + s + o*g and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 359.998425 + -360. Round s to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9575 (base 10) in base 14?\nAnswer: -36bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, -5, 95.\nAnswer: -5, -3, 6, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -l - 7, -4 = 3*l - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1957*h + 5042*h + 107975 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m + 32 = -x, x + 3810 = 4*m + 3802 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1655 divided by -48342\nAnswer: -1655\/48342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 5*a**2 + 7*a - 4. Let p(z) = z**2 - 1. Let r(x) = 6*p(x) + u(x). Let w be r(-4). Suppose 4*d = l - w, 2*l + 3*d - 5*d - 282 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5 + sqrt(1539)*1 - (-3 + (sqrt(1539) - sqrt(1539)*1) + -2))**2*3.\nAnswer: 108*sqrt(19) + 4629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 522\/45*(-50)\/6*-18. Suppose -10*j + b = -15*j. Let c = j + 492. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 8, u: 1, z: 3, c: 2, f: 5}. What is prob of sequence ufz?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93525.\nAnswer: 3, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9354.1 * 419.\nAnswer: -3919367.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 587 + -1173\/2. Let s = 53 + -28. Suppose p - 3*x = 6*p + 23, 5*p + 5*x + s = 0. What is the nearest to u in p, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1824550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -220, -381, -576, -805, -1068?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 9*p - 7. Let z be c(-11). Let o be ((-18)\/z)\/((-2)\/(-5)). Let l be 2\/o + 80\/48. Is l less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -137  (b) 8  (c) -0.5  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*1\/5*(-20)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 53*o - 8. Let n be u(4). Suppose k - n = -3*k. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10101110011 (base 2) to base 13.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**2 - 4*o**2 + 2*o**2 + (4*o + o - 3*o)*(-3*o + 5*o + 0*o) + 5*o**2 + 3*o**2 - 6*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (15\/6)\/((-4)\/(-72)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 7:09 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 76 or 978\/13?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 9:57 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 2. Let t be s(-5). Let b(l) = l**2 + l - 3. Let d be b(t). Suppose 2*w + d*w - 360 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201102010110 + 2101?\nAnswer: -201102001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9.220905 millilitres?\nAnswer: 0.009220905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8452*b**5 + 980*b wrt b.\nAnswer: 169040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + (3\/(-3) - -4). Let m(v) be the second derivative of -5*v**3\/3 - 2*v**2 + 15*v. What are the prime factors of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 122058 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 576 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*s - 6*s, 5*n - 2*s + 9 = 0. Let i = 2 + n. What is the third smallest value in i, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/5, 0.3, 2, 172, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1234 is divided by 150.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**6\/18 - 71*r**5\/120 + 5*r**4\/12 + 625*r**3\/36 - 125*r**2\/6 - 16*r + 5. Let g(u) = 0. What is u?\nAnswer: -5, 2\/5, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -625 = -5*i - 645. What are the prime factors of 3 - (-415 - (-1 + 2 + i))?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o**2 + 2*o - 1. Let s be u(1). Let a = 5 + s. Let t(m) = 7*m**2 + 3*m**3 + m + 0*m**a - 6*m**2. Give t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 3) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*s - 2*s**2 + 6*s - 25*s + 1 - 11*s in the form l*s**2 + z + f*s and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 10:11 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4251?\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/3 - 4\/((-16)\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-10)\/(c\/c**(1\/2)))**(3\/5)\/((c\/c**(-1)*c)**(3\/31)\/(c\/(c*c**0))**(-44\/5)) assuming c is positive.\nAnswer: c**(-2043\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -s + 9207, -s - 5*p = -10212 + 1040. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(72) + sqrt(72)*-2)\/sqrt(6) + sqrt(84)\/sqrt(7) + -2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 6*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -30710, -93483, -198104, -344573?\n\"Answer: -20924*o**2 - o - 9785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33057)\/2898 - (180\/35)\/9 - -12.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = h - 4*i, 5*h + 5*i - 38 = 4*h. Let u = 15 + 1. What is the remainder when h is divided by 210\/u + (-8)\/64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 14*y**2 - 8. Let i = 68 + -54. What is n(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 5:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {z: 5, h: 7, t: 5, j: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*l**2 + 5*l**2 - 32*l - 33*l - 131*l to the form z + v*l**2 + p*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -557*h**3 - h**2 - 8*h + 19. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 19b3 - 5?\nAnswer: 19ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 + 258 = -27*w - 397. Put w, -4, -21 in increasing order.\nAnswer: -21, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 46*m. Let t(n) = 201*n + 1. Give i(t(s)).\nAnswer: 9246*s + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -16755 divided by 25\nAnswer: -3351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, g: 6}. What is prob of sequence ggpg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.3  (b) -0.4  (c) -6  (d) -0.67  (e) -124  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/4 + 93*q\/4 + 1081\/2.\nAnswer: (q + 46)*(q + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*k = 0. What is the second derivative of d + d**5 + d + k*d**5 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1.01.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3435211 + -5?\nAnswer: -3435220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -8. Let b(p) = 6*p**3 - 2*p**2 - 9*p - 8. Let u be b(-1). Let h = u + m. What is the biggest value in h, 2\/5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 765149703 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169151586.\nAnswer: 2, 3, 28191931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -640662 or -640658?\nAnswer: -640658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7, 2\/13, 0.5, 0.414.\nAnswer: -7, 2\/13, 0.414, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l\/(l\/(l\/(l*l**(4\/5))))*l**(-4)*l**(3\/8)\/l**2 assuming l is positive.\nAnswer: l**(-217\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 234, 2, -1, -5, 20, 14, -9 in decreasing order.\nAnswer: 234, 20, 14, 2, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -5, 136?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**2*o**2 - 3*h**2*o + 36*h**2*z**2 - 8*h*o**2*z**3 - 6*o**2*z**3 - z**3 wrt o.\nAnswer: 4*h**2 - 16*h*z**3 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 100101001101?\nAnswer: 100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -393577 - -905724. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 3*q - 16, 0*q + 5*f - 14 = -2*q. Suppose -3*l = -4*l. Suppose -u + l = -2. Solve -q*y + 14 = 3*c + u*c, -2*c + 6 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24306656 - 5.\nAnswer: 24306651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 3, -3, 71, -13662.\nAnswer: -13662, -5, -3, 2, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5\/3  (b) -100570  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 22. Let l = 18 - -42. Calculate the remainder when l is divided by 290\/14 + i\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7407660 divided by 1\nAnswer: 7407660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = f - 1537, -5*u - 1545 = -f - 0*u. What is f rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1430 - 847. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -31400006 - -13?\nAnswer: -31366663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/113, -104, -45?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -288*t + 564*t - 279*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, -14, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -154 times -107.3\nAnswer: 16524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -14*k + 19. Let v(c) = 3*c**2. Determine v(h(s)).\nAnswer: 588*s**2 - 1596*s + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -2, -1.11, -3 in increasing order.\nAnswer: -3, -2, -1.11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 5*l**2 - 8\/3*l**3 - 2 - 1\/60*l**5 - 1\/3*l**4 + 0*l. Let k(j) be the second derivative of p(j). Factor k(r).\nAnswer: -(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 456 and 749816?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of c**6\/24 + c**4\/12 - c**3\/6 + 4*c**2. Is 3 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 3. Suppose -v + 2826 = 2*i, -r*v + 0*v - 2*i + 14130 = 0. Suppose -5*x = x - v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r + 0*r + 0*r + (5 + 0 - 3)*(-3*r - 5*r + 6*r) - 14 + 5 - 15 - 4*r.\nAnswer: -7*r - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -11*i**2 + 6*i + 3. Let l(w) = 4*w**2 - 2*w - 1. Let c(r) = 6*l(r) + 2*p(r). Let d(g) = 567*g**2. Calculate c(d(z)).\nAnswer: 642978*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2326905 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -7. Let s = 770 - 3856\/5. Put r, s, 0.5 in descending order.\nAnswer: 0.5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7688 and 31.6.\nAnswer: -7656.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27614 is divided by 2508.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -136197 divided by -45399.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x**2 - 2*x + 3. Let h be t(1). Solve 3*d - 3*c = -15, 5*c = -h*d + 12 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -99*k**3 - 27*k**2 + 27. Let y(t) = -18*t**3 - 5*t**2 + 5. What is -5*f(c) + 27*y(c)?\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -1 + 1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300*m + 34227 = 304*m + 5*x, -25644 = -3*m + 5*x. List the prime factors of m.\nAnswer: 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -836.4  (b) -4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -298 and -298 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20935 is divided by 2084.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 2*m - 130. Let s be y(-8). Solve -12*t + s*t - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11829 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -530907311 and -4?\nAnswer: 530907307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/137125 and 23\/109700.\nAnswer: 548500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28686 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4342, -5210, -7566, -12154, -19718, -31002?\n\"Answer: -124*q**3 - 4218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 11. Suppose o*a - 68 = -8. Solve 2*p = -2*p + a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1017467 (base 11) to base 15.\nAnswer: -257286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -980, -4236, -9792, -17648, -27804?\nAnswer: -40260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - ((-13 - -2) + 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 386440947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10365230957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 20*l + 10. Let x be j(-20). Let z be -1 + 2 - 2*(-15)\/x. Suppose o - 40 = -2*n + 16, -z*n + 106 = -o. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -141 + 0?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -14*d + 15 + 18 + 12 - 44. Calculate the remainder when 2\/(-11) + 1887\/33 is divided by b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*k**3 - 23*k + 23*k - 5*k**3.\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416*z + 40 = -424*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - -1) + 41310\/(-5950). What is the nearest to 0 in -4, r, 0.03, 2\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 12929.\nAnswer: 51716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*h + 7, 7*h - 4*l - 36 = 3*h. Let q be (h + -31)*(-4 - 40\/(-12)). Is q at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3423621 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 127 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p**2 + 4*p + 6. What is b(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**5 + x**5 - 5*x**5)*((2 - 2 + 1)*(-2 + 0 + 3) + 4 - 1 - 1 + 6 + 2 - 4).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-32)\/(-18))\/(567 + -565).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**3 + 3*w**2 - 4*w + 2. Suppose -78*f + 266 = 55*f. Determine r(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, z: 3, q: 1, c: 1, h: 3, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/sqrt(64)*-4)\/(((sqrt(200) - 5*(sqrt(200) - sqrt(200)*1)) + sqrt(200))*-1).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -49*n - 43. Let c be z(-1). Let h be (-2)\/(-4) - (-15)\/(-6). Let x be -4*(-1)\/h + 17. Solve -p + c*p = -x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 179 + -291. Let r be 26\/4 + (-56)\/b. Suppose o - 2*s + 1 = 0, -3*o - 2*o = -5*s - 5. Solve 2 + r = o*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(98\/210 + 7 + 340\/(-50)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = -12*z - 50 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**2 - 3*z - 19. Let d be y(-3). Which is the nearest to 1\/2?  (a) d  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(5) - (sqrt(5) + -2)**2)*1.\nAnswer: -8 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*u**3 + 5768*u**2 - 12656*u + 2528 = 0 for u.\nAnswer: 2\/9, 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17724 is divided by 5886?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2282 and 3430?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from omooccofcoogm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 317 - 322. Let h = 3 + -2. Sort 2\/9, h, a in descending order.\nAnswer: h, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 4*f + 13, -4*f + 3*f + 12 = 2*h. Let u = 98 + -96. Solve 3 = -u*a - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w - 6. Let l(t) = 5*t**2 - 11*t**2 - 2*t**2 + 7*t**2. What is l(f(i))?\nAnswer: -4*i**2 + 24*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 188 = 215, 0 = 5*j - r - 32471. Calculate the least common multiple of j and 11.\nAnswer: 71456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**2*n**3 + 175*b**2*n - 2296*b*n**3 - 4*n**2 wrt n.\nAnswer: -6*b**2 - 13776*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 5*m - 6. Let r be h(-6). Which is the nearest to -0.1?  (a) r  (b) -84  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 8. Suppose -5*o + 0*l - 2*l = -35, -15 = -3*l. Let f = n - o. What is the highest common factor of 15 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*v**2 - 11*v**2 + 287*v**3 + 5*v**2 - 300*v**3 wrt v?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 - -32. Let v(n) = -2*n**2 - 10*n - n**3 + d*n + 3 - 2*n**2. What is v(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/18)\/((-4)\/18). Suppose 32 = s + l*s. Let b = -4 + 5. What is the lowest common multiple of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 314 divide 592660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6\/17  (b) -0.1  (c) -1.3  (d) 0.28  (e) 0.5  (f) 2  (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51395 times -0.1?\nAnswer: -5139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 213020322 + -10?\nAnswer: 213020312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -302*x + 302*x + 490155*x**3.\nAnswer: 490155*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*u = 26, -a - 5*u = 6 - 0. Let f(o) = 5 + 2*o - 6 + 1 + 3. Give f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -18. Calculate the least common multiple of 4 and 1\/i - (-16)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 3*x + 3. Let h = 5 - 5.06. Let f = 0.34 - h. Which is the closest to x?  (a) -5  (b) f  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*i - 5*b, 2*b + 0*b + 4 = 2*i. Let t = i - 1. Let m be -1 - (t - 1)*3. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.296 + -0.704. Which is the third biggest value?  (a) -5  (b) 1.7  (c) q  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 1388*x**2 + 13*x - 30. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**8\/(b\/(b**(2\/19)\/b)) assuming b is positive.\nAnswer: b**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -37\/12*f**4 + 0*f**3 - 7*f + 0*f**2 - 1. Let q(w) = 2*w. Give r(q(d)).\nAnswer: -148*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.45 - 0.45. Suppose c - f - 6 = 0, 5*c + 4*f = c. Suppose -d - 5 = -3*l, 2*l - c = d - 1. What is the second smallest value in k, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 9:32 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 9:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a - 7. Let u be o(4). Suppose 1150 = 5*m - 310. Let n = 3214\/11 - m. What is the smallest value in n, 4, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5615242*g**3 - 9964550 with respect to g.\nAnswer: -16845726*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2828, -5705, -8600, -11513, -14444, -17393?\n\"Answer: -9*b**2 - 2850*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*q + 1. Let b(k) = -5*k**2 - 6*k + 2*k**2 - 13 + 6*k**2 - 2*k**2. Let p be b(8). Solve -p = -3*i - q*x - 0, 4*i - 1 = -x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*x + 4*w, -w - 4 - 6 = -2*x. Suppose 5*s = -4*t + 36, -t + 3*s - 4 = x. Solve t*g + 0*q - 4*q = -32, 3*g + 2*q + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -3*u**2\/2 + 6. Let b(t) = -t**2. Give q(b(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from qzq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 385 = 4*m, 14*m - 11*m - 285 = -3*b. Calculate the greatest common divisor of 168 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**2 - o**4 + 4 + 0*o**2 - 5 to the form l*o**2 + m*o + p + t*o**3 + y*o**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -567, -1093, -1599, -2085, -2551, -2997?\nAnswer: -3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -5, -138, 2.\nAnswer: -138, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**9)\/f**(-11))\/(f\/(f\/f**(3\/2))*f)**(1\/13) assuming f is positive.\nAnswer: f**(73\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 25\/2, -1, -0.5, 1 in descending order.\nAnswer: 25\/2, 3, 1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*f - 112*f = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 154*c**2 - 2*c - 2. Let f be p(-1). Let j be (5 + 18\/(-8))*(14 - -2). What is the greatest common divisor of j and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**2 + 5*s**2 - 8*s**2 + s**2 to u + p*s**2 + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hoo when three letters picked without replacement from zhohzoohozho.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 95aa - 17?\nAnswer: 9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 + 6*a**2 + 11*a**2 + 10*a**2 - 39*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 0 + 3*t + 1\/3*t**3 + 0*t**2. Let u(c) = 3 + 3*c - 10*c - 3. Give u(n(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 289017 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1202 - 48061\/40. Find the common denominator of (171\/6)\/(5 - 224\/40) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4 + 102655\/(-20)*8\/(-2). Suppose 2*o - 20539 = -o + 4*q, -q - n = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b = 2*b - 90 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -15290000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/10  (b) -0.2  (c) 1  (d) 1489815  (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in -4, 0.4, 0.1, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 9*k + 20. Let j(i) = -60*i - 1314. Let a be j(-22). What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 divided by 35161?\nAnswer: 132\/35161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 49a80a (base 13) to base 10\nAnswer: 1765553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -6*t**2 - 11*t - 81. Let v(s) = s**2 + 5*s. Determine -u(i) - 2*v(i).\nAnswer: 4*i**2 + i + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 14*h + 18. Let b be d(15). What is the tens digit of -1*(-2 - b) + (-800)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3 = -13. Suppose -2 = h*d + 3*j - 8*j, -2*d = -2*j. Suppose -d*b - 2*b = 0. Solve b*p = -p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.9 and -0.881479?\nAnswer: 0.018521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 9*d**3 + 118*d**2 + 13*d + 15. Let j be b(-13). Solve 36*g + 4*k = 41*g + 7, -3*g - 4*k = -j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 5*v + 383. Let t be m(22). Solve 0 = -f - f + 2*p - 14, 0 = f - 2*p + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 137 divide 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhnnhnhqhqhndhnqi. What is prob of sequence di?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 233\/44 - 50\/11. What is the biggest value in k, 0.2, 0, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d - 10. Let u be q(4). Suppose -u*v + 223 = 23. Solve -5*w + 4*w = s, 0 = -5*s - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kfkkkkkkkkkfkkkkkkfk.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -48575235.93926 and 0.1.\nAnswer: -48575235.83926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 555775968 a multiple of 7304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5 - 48*t**4 + 755*t**3 - 3840*t**2 - 756*t + 3888 = 0. Calculate t.\nAnswer: -1, 1, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -122, -49\/5, 0, 2.3 in ascending order.\nAnswer: -122, -49\/5, -0.3, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b - 3. What is t(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dvfv when four letters picked without replacement from pdpfpvvvxxdv?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1876655, -1876627, -1876587, -1876541, -1876495, -1876455, -1876427?\nAnswer: -1876417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6*o = -2*q + 44, 0 = -3*o + q + 22. Let w = -10 - 75. Let g = 89 + w. Solve -2*r + 4*s - 24 = 0, 4*s - o = -4*r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3*a - 3 = 3, -4 = 5*g - 2*a. Let m(d) = -d - 112. Let p(w) = -w - 111. Let b(q) = 2*m(q) - 3*p(q). Is b(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -99*r. Give o(-1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/505 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -9247579 at least as big as -9247578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n - 7. What is h(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2938\/11752*(-64)\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*n**4 - 4*n**4 - 2*n**4 + (-3*n - 3*n + 3*n)*(-72*n**3 - 100*n**3 + 68*n**3).\nAnswer: 311*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 3*y + 534, 3*c = -4*y - y + 1594. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 4. Let a = -656 - -655. Suppose -2 = 3*l - 8. Let o(m) = -m + 1. Calculate a*n(b) + l*o(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 11. Let z(r) = r**2 - 10*r - 3. Let v be z(w). Let t(i) be the third derivative of -5*i**4\/24 - i**3\/6 - 49*i**2. Calculate t(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {g: 1, w: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011101 + -100?\nAnswer: 1001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.98 + 0.02. Let c = -4.1 + y. Let r = -22.06 + 22. What is the smallest value in c, 0.2, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 125204, 126134, 127064, 127994, 128924?\n\"Answer: 930*r + 124274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10538 + 10474 + -1 + 194.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 256873725 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 m, and 2 w when four letters picked without replacement from jsmwswwjw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -9*y**3 + y**2\/2 - 57*y - 3. Let n(k) = -k. Calculate u(n(o)).\nAnswer: 54*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 335668, 335671, 335674, 335677?\n\"Answer: 3*g + 335665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -870*h - 880*h + 8 - 877*h - 1 + 2628*h.\nAnswer: h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6420381 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 69*l**2 - 1406*l + 2797. Calculate p(2).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3450238 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10228 (base 10) to base 4.\nAnswer: 2133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/105 in 0.4, 4\/15, -156?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*k - 10 = 5*r - 44*k, 10 = -5*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -317601, -317587, -317561, -317517, -317449, -317351, -317217, -317041?\nAnswer: -316817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.83226g to nanograms.\nAnswer: 37832260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -193 - -469. Suppose f + p = 5*f. Calculate the greatest common factor of f and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1451892568627+-0.14\nAnswer: -1451892568627.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 11 - 4. Suppose -5*b = -f*q + 713, -3*q - 2*q - 3*b = -1143. Suppose 2*c + q = 5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2052 (base 6) to base 2\nAnswer: -111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 9*f**2 + 17*f - 1. Let o be u(-6). Solve -4*b - 2*x = -4, -2*x + 4 + 0 = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/12 + 3\/(-1 + 7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -3. Let c be -567*((-4)\/(-50) - (-69)\/75). Let x = 564 + c. Let p(l) = l**2 - 4*l - 3. Let f(w) = -w**2 + w + 1. What is h*p(j) + x*f(j)?\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6 - (-17)\/3)*-15. Solve -3*u - x = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 7, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-5954501.\nAnswer: 23818004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30773.67km in centimeters?\nAnswer: 3077367000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -100*l**3*t**2 + 1142*l**3*t + 155*t**2 + 9*t + 7 wrt l?\nAnswer: -300*l**2*t**2 + 3426*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -8, -2\/5, 0.15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -4*z + 24, -8*z + h = -3*z - 54. Solve f + z = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 7*r**2 + 8*r - 8. Let d be f(-8). Let a = d - -19. What is the lowest common multiple of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 954.6188 nanometers?\nAnswer: 0.0000000009546188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -1494?\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + f - 74 = -f, 4*f - 64 = -u. Suppose 6*g - u = 156. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599 is divided by 145?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 47010571 and 1.5.\nAnswer: 47010572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjiixntnjintjjjjjjn.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*s + 2911 + 2053 = 0. Suppose 288*j - s*j + 88 = 0. What is the least common multiple of 64 and j?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 5*r**3 - 1395*r**2 + 9550*r - 8160 = 0.\nAnswer: 1, 6, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125 + (-111 - 82) + 52.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 8*m - 80 = 0. Let z be 0 + (-2)\/2 - -4. Solve -q + z*q - 3*t + 4 = 0, -2*q = 3*t + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -446508 or -446509?\nAnswer: -446509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244*l = 247*l - 19167. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 0. Let p = 109 - 106. What is the units digit of (-3)\/(p\/(-2)) - g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -13, -0.5, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -13*s**6\/6 + 7*s**3 + s + 19. Find the second derivative of z(u) wrt u.\nAnswer: -780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u**2. Suppose 2*b = g - 4*g - 11, -g - 5 = 0. Let m(p) = -b*p + 20 - 20. Calculate m(n(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 116*p**3 + 82*p**3 - 69*p**3 - p**3 + p**2 - p**2 + (-3*p + p + p)*(-4*p**2 + 0*p**2 + 5*p**2).\nAnswer: 127*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 5:24 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2946512?\nAnswer: 2, 184157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 + x + 1. Give i(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40761308 divided by 9044.\nAnswer: -4507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 + l**5 - l**5 + (-2*l**3 + 7*l**3 - 3*l**3)*(2*l**2 + 0*l**2 + 0*l**2) + l**2 - l**2 + 2*l**5.\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of 2*h**2 - 1\/30*h**6 + 1\/6*h**4 + 2\/3*h**3 + 0 - 1\/15*h**5 + 0*h. Factor j(z).\nAnswer: -4*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 213.07 + 472.303. Let k = g + -700.37385. Let j = -15 - k. What is j rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*c + 21*c - 5564. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -77 in -3\/4, 2\/295, 3, 9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -49\/3. Let u(r) be the first derivative of 2*r - q*r**3 - 1\/3*r**6 - r**2 + 2 + r**4 + 2\/5*r**5. Determine k so that u(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**5*z*z)\/((z**12\/z)\/z)*(z**(-4))**(-3\/20) assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*q - 79*q - 2 + 43*q - 49*q + 2.\nAnswer: -153*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2 = 0, 2*g - 10 = 2*x + 62. Let v = g - 15. Calculate the greatest common factor of v and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 3 + (27 - 16) - (-2 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -73*l**3 - 12*l. Let a(k) = 948*k**3 + 158*k. What is -6*a(y) - 79*b(y)?\nAnswer: 79*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4389293 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -840919*g**2*i*k - 20*g**2*i + 33005*g**2 - 10*g*i + 12*k**3 with respect to k.\nAnswer: -840919*g**2*i + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3585, 7164, 10719, 14244, 17733?\n\"Answer: -q**3 - 6*q**2 + 3604*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 5*u**4\/72 + 95*u**3\/9 + 680*u**2\/3 - 800*u. Factor y(x).\nAnswer: 5*(x + 8)*(x + 68)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*w + 5*w + 12*w - 2*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 0) + -3 + 6 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*j - 28*j**6 + 1012*j**2 - 28*j**6 - 7*j**3 + 36*j - 41*j**2 wrt j?\nAnswer: -6720*j**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2 = -18. Suppose 0 = -2*l - 0*l + 4*j + 10, -l - 4*j - 19 = 0. Which is the smallest value?  (a) y  (b) -2\/5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/15 and 10 + 483\/4130*-87.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**2 - 3*y**2 + 6*y**2 + (4 - 4 + 2*y + (-3*y + y + 0*y)*(4 - 3 + 4))*(-601 + 139*y + 601).\nAnswer: -1113*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 - -69. Let u(p) = -p**2 + 14 - 8*p + 7*p**2 - 35 + 3*p**2. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 250 - 248. What is the nearest to 2\/39 in i, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 492, 1\/12, -111, 0.5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71.7495 + 72. Round w to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -370 + 576. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.1 + 1.144. Let k = -0.044147 + d. What is k rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22\/3 in -0.2, -6417, 2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -t**3\/3 + 4*t**2 - 7*t - 68. Suppose 302 - 294 = o. Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 418, 128, -162, -452, -742, -1032?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 3*i - 1. Let f be x(-4). Calculate the common denominator of ((-721)\/105)\/((-4)\/f) and -55\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3144, 2, -14, 1, -1, 3 in descending order.\nAnswer: 3144, 3, 2, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8a - 138a?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 110555 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 437.18 + -437. Which is the third smallest value?  (a) h  (b) -0.3  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185259280 divided by -163.\nAnswer: -1136560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 19*n**2 + 147*n - 10. Let c(a) = 37*a**2 + 258*a - 18. What is -4*c(g) + 7*o(g)?\nAnswer: -15*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265 - 27 = 7*j. Suppose -18 = -4*k - j. Suppose -2 = 3*r + 7. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -387\/531736 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 366026 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 19 = q, k = -3*q + 19 - 6. Let l be (5 - (-26)\/(-6))*60\/(-160). What is the nearest to 0 in l, 0.3, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011000 - -101?\nAnswer: 1001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - 13*g**4\/12 + 2*g**3 + 3*g**2\/2 - g. What is the remainder when 59 is divided by j(-14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4141857 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 15. Solve -2*x + 3 = 3*o, 1 = -5*x + 2*o - w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 40 in 11, 10, -399\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-148)\/8) - (-82467)\/(-2849)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 632610 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5\/4 + 753*z**4\/4 - 315763*z**3\/4 + 27972911*z**2\/4 - 63875607*z\/2 - 92483048 = 0.\nAnswer: -1072, -2, 7, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*t - 25242 = -25732 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 105 + -70. Suppose -5*f + i = -25. Solve 0 = -0*a + 4*a + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from annmlmlnannmflanaa. What is prob of sequence am?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 402.86 + -409. Let s = k + 0.14. Let y = s + 5.9995. What is y rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 4*w + 0*w + (-1 + 2*w + 1)*(-2 + 1 - 1))*((-4 + 3 - 2)*(1 - 3 - 7) - 1 + 7 + 1 - 1 + 0 + 2).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 67915 and 1855.\nAnswer: 25196465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 41193 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-3)\/9*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 12d0?\nAnswer: 12d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 12 - 2*a - 3*a + 3*a. Let s(x) = 4*x - 8. Let h be s(4). Let v be k(h). Sort 4\/3, v, -1 in decreasing order.\nAnswer: 4\/3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 321038*q + 520951?\nAnswer: 321038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -45a14d (base 16) to base 5\nAnswer: -2132011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2363523.4 rounded to the nearest 1000?\nAnswer: 2364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1013*g + 1034*g + 651 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 - 60. Differentiate -12 - 15*n - 4*n - 9*n + m*n with respect to n.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -89 - -929. Suppose y - 8 = -1. Suppose s = -y*s + x. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -13*s - 9*s + 62*s**2 + 21 + 6. What is the first derivative of g(d) wrt d?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20515 = -5*w - u, -11*u + 10*u - 5 = 0. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b - 2. Suppose 2*m - 7*m + i + 12 = 0, 0 = 3*m - 4*i - 14. Calculate g(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -16. Suppose -4*q + 3*c = 47, 0 = -2*q - 2*q + l*c - 42. Let t(h) = 11*h**3 + 8*h - 8. Let m(j) = -7*j**3 - 5*j + 5. Give q*m(x) - 5*t(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13.9*935\nAnswer: -12996.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 840 is divided by 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 470, 1060, 1878, 2918, 4174, 5640, 7310?\nAnswer: 9178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158995197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + 0.9. Let t = -3 + 6. Let z = 4 - t. Is s equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -4, 4.4, 43.58, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*f*h*z - 3*f - 9*h*z - 2*h - 20 wrt z.\nAnswer: 5*f*h - 9*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 + 50 - 4*a**2 + 11*a**2 - 100.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = 4*k - 7*k. Let v(n) = -n**2 - 65*n + 876. Let y be v(-77). Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 + -11 - -33) + (-2 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 133844859 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + y = -0*x + 39, -3*y - 13 = -x. What is the remainder when 62 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k. Let t(w) be the first derivative of 30 + 16*w**2 - 5 - 10 + 29. What is t(p(m))?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or -338.4913?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34\/5 in 0.3, -1\/6, -3\/5, 16, 0.2, -124?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2 = 0, 4*q - 667 = -4*z + 133. Calculate the remainder when q is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2300*y**5 - 967*y**4 + 76*y**2 + 11*y + 282?\nAnswer: 138000*y**2 - 23208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - z**2 + z + 53. Let p be (2 + (-2)\/1)*-1. Let o be f(p). Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 25*l - 4. Let n be b(3). Suppose -3790000 = n*r - 66*r. What is r rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of n**4\/6 - n**3\/6 - 6*n**2 + 24*n. Let u(m) be the first derivative of w(m). What is the derivative of u(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(3*h - h - 3*h) + 18247 - 18247 - 20*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 205449 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -4613 greater than or equal to -152231\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -1.5, 1\/4, 27\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (0 - (3 - -7)) - (-14 - (7 + -12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (-19)\/8 - (-147)\/392. Let f = 0.38 + -0.4. Let w = f - -0.32. Which is the biggest value?  (a) g  (b) -5  (c) -3\/4  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -260*b**3 - 271*b**3 - 260*b**3 + 767*b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 8. Suppose -1 = -5*v + 3*x - 0, -2*v - 5 = -f*x. Suppose 0 = -n + v + 2. Solve 2*o - 2*l = n + 6, -12 = 4*o + 4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -231630, -231632, -231634, -231636, -231638?\n\"Answer: -2*i - 231628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1472017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f - 11. Let k be l(8). Suppose k = 2*r - 17. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -279, -285, -307, -351, -423, -529, -675, -867?\n\"Answer: -t**3 - 2*t**2 + 7*t - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4982*m - 103. Calculate r(0).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 16 = 10*z. Let d be 4\/z*(2 - -1). Let a(y) = y**2 + y - 1. Let h(o) = -2*o**2 - 7*o + 3. Let f(m) = -3*a(m) - h(m). Determine f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.012037042 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i**2 + 4*i**2 + 0*i**2)*(3*i + 3*i - 4*i) + 15 - 15 + 13*i**3 + (-2*i - 5*i + 6*i)*(13*i - 22*i**2 - 13*i) as y*i**3 + f*i**2 + z*i + c and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10016119.\nAnswer: 43, 109, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11584884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that z**5\/9 - 278*z**4\/9 + 2177*z**3 - 4140*z**2 - 6348*z = 0.\nAnswer: -1, 0, 3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1979, -3394, -4807, -6218, -7627, -9034, -10439?\n\"Answer: u**2 - 1418*u - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 8797?\nAnswer: -8799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 37*k**3\/6 + 6*k. What is the tens digit of d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-13)\/((-91)\/(-584703))*(-3 - 16\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3136 - 10*r + 6*r - 3136.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4 + (((0 + (0 + sqrt(500) + sqrt(500) - sqrt(500)))*-6)**2 - (-5 + (sqrt(500)*-2)**2 + (3 + 1 + sqrt(500))**2)).\nAnswer: -80*sqrt(5) + 15490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 8*f + 21. Let l be o(-3). Let h(w) = -4 - w**3 - 2 - 4*w + 7*w**2 - w. Let c be h(l). Solve c*m - d = 2*m + 1, -m + 1 = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 937.0928 millennia?\nAnswer: 93709.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1071\/(-24))\/7 - -2 and (-130)\/33*(-3)\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1724685019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 6 - 2*n + 6*n - 3. Give o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/12))**20 assuming n is positive.\nAnswer: n**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f - 1231 = -29*f - k, -5*f + 1520 = -5*k. Let i = -8291\/27 + f. Which is the fourth biggest value?  (a) 4  (b) 2  (c) i  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -48.65 and 13250.\nAnswer: -644612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-1\/8)*((y\/(y*y*y**28))\/y)\/y*y assuming y is positive.\nAnswer: y**(-231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-10))\/((-568)\/(-355)) + 95\/(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 10:40 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5854 or 5888?\nAnswer: 5854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 181.186?\nAnswer: -182.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61863 is divided by 30626?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 2. Suppose 0 = z + 3*z. Let n be c(z). Solve -2*s - 4*v - 3 = -33, 3*v = n*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -54 and -248.9813.\nAnswer: -302.9813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -9*d + 22 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -10*q**2. Let x(p) = -4*p - 3. Let y be (1 + -5)*(18\/(-4) - -4). Let u(t) = 3*t + 2. Let v(k) = y*x(k) + 3*u(k). Give v(l(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*h = -75 - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (-29 - -18 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 59, 95, 131, 167?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30787, 61620, 92513, 123478, 154527?\nAnswer: 185672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1109513141.\nAnswer: 11, 100864831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 - 0.9. Let o = -2 + 3. Let w = -0.44 + 0.14. Which is the closest to i?  (a) w  (b) -0.2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2842?  (a) -1.5  (b) 4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**4 - 26*d**3 + 1532*d**2 - 4384*d + 2880 = 0.\nAnswer: -36, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w + 5. Let s(l) = -3*l + 15. What is 11*p(g) - 4*s(g)?\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1*sqrt(98) + -1 + 1 + sqrt(98)*-2)**2.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000118845 rounded to six decimal places?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 48357004415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 11086352*m - 7681700041744.\nAnswer: -4*(m + 1385794)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3 + i - 2 + 2. Let f(l) = -1. Suppose 24 = -3*r - r. Give r*f(o) + 2*k(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.4 - -3.4. Let j = -3.8 + 3. Let g = j + 0.5. What is the third biggest value in -4, z, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*n = -20, -2*l + 3*n = 4*n - 9. Let x be 34\/10 - (-4)\/(-10). Solve -l*g - 19 = -0*t + 2*t, t = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -203891 and 32.\nAnswer: -6524512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 + -79 + (13 - (4 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 91. Let t(g) = 11*g + 8. Calculate s(t(l)).\nAnswer: 121*l**2 + 176*l + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 123828 and 7213588?\nAnswer: 367892988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9745*h = -2*c + 9747*h + 36, 2*h = c - 13 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((-2)\/6) - (25 - 28). Suppose u = -6*t + 11 + 19. Suppose v + t*o = 138, -2*v + 5*v = -2*o + 453. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -150, -239, -328, -417?\n\"Answer: -89*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = 2872 + 378. Let y = 54 - n. Calculate the greatest common factor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 49\/6 of a day?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 1, 0.04, 2, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 2546.8?\nAnswer: 2546.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 623 + 665 = -92*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 + (-3 + 3 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/2*(-28)\/(-63). Let f(r) = 53*r - 7. Is 9 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/4*5\/(195\/(-338)). Let q(v) = 11*v - 7. Let g(b) = -5*b + 3. What is i*g(t) - 6*q(t)?\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**9\/((o*o*o\/(o\/(o\/o**(2\/25)))*o*o)\/o) assuming o is positive.\nAnswer: o**(127\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 11:33 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 - 5*w**2 - 3*w**2 + (-3 + 4 - 2)*(80*w**2 - 420*w**2 + 118*w**2).\nAnswer: 217*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 33. Suppose -3*o + 91 = -2*h, 10*o - 6*o + h - 114 = 0. Let c = o + z. Calculate the highest common factor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -74. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l + 16 = 0. Let c(i) = i**3 - 2*i**2 - 2*i + 4. Let m be c(3). Suppose -2*w + z = -24, 5*w - 4*z = 8*w - 47. Solve -l*b - m = w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 5, s: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 766*n**2\/3 - 119690*n - 86296\/3.\nAnswer: 2*(n - 469)*(383*n + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7434 and 8192268.\nAnswer: 8192268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2. Let g(j) = 21*j**2. Let q(b) = -18*a(b) + g(b). Let x(p) = -9*p - 21*p + 7*p - 27*p. Give x(q(y)).\nAnswer: -150*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnhnnnhn. Give prob of sequence nhhn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 65 (base 12) to base 5\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of 65*o**6 + 31*o**2 - 3*o - 338. Find the second derivative of m(u) wrt u.\nAnswer: 7800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2944*t**2 - 640. Let l(m) = m**2 - 1. Determine i(b) - 640*l(b).\nAnswer: 2304*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -109*c + 760. Calculate the remainder when x(-2) is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 18) + (-52 - -94).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, n: 1, y: 4, d: 8}. What is prob of sequence yyyy?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 528*q**3 - 2*q - 1. Let a be d(-1). Let u = -216 - a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/10906680 and -89\/12270015?\nAnswer: 98160120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*g**5 + 103*g**4 + g**3 + 20937*g**2 wrt g?\nAnswer: -2760*g**2 + 2472*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19210000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 117470.75525 rounded to the nearest 100?\nAnswer: 117500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 668 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153995632 - b**2 - 153995632 + 5*b.\nAnswer: -b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8048184, 16096365, 24144546?\n\"Answer: 8048181*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17374 - -17377. What is the closest to -8 in l, -18, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*q + 1 - 3 + 1)*(3*q - 3*q - q**2) to the form z + c*q + m*q**2 + j*q**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 3*r + 5*a - 11, -4*r + 30 = -2*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 852812?\nAnswer: 5\/852812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 60420557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -402410 - 10?\nAnswer: -402420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -4  (b) 50  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40446 and 376866.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*s = -130*s + g - 708, 0 = 5*s - 3*g - 3532. Suppose -2*a + 3857 = s. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4559265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 5*a - 3*a)*(38 - 67 + 8 + 3*a) to w*a + j*a**2 + v and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z - 6. Suppose -c + 2*c = 4. Let y be s(c). Let l(j) = -j**3 + 9*j**2 + 11*j - 5. Let g be l(10). Solve g*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -22*z - 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**4*w\/w**(-5))**(22\/5) assuming w is positive.\nAnswer: w**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -105*j**5 + 2*j**3 - 3*j**2 - 327*j - 3 wrt j?\nAnswer: -6300*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 691 - 688. What is the third biggest value in v, 1\/6, -0.4, 15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 421 - 416. Which is the third biggest value?  (a) n  (b) -6  (c) -1\/5  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02085093 rounded to four dps?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -11 + 8 + 22 + 4*r - 7*r. Give i(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 12*z - 10*z. Suppose y = 3*m - z, -5*y = 5*m - 2*y + 12. Solve 0 = -o - m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -29\/60*a**5 + 0 - 3\/2*a**4 + 0*a**3 + 0*a + 23*a**2. Find the second derivative of f(t) wrt t.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 16*r**2 + 5*r - 5. Let w(i) = -16*i**2 - 4*i + 4. Give 5*w(g) + 4*z(g).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 12:51 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u + 20 = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.13?  (a) 3\/2  (b) -0.2  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10440627 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3494.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + 0. Let r = -0.3 - x. Let f = 5.3 - 5. Sort f, r, 2.\nAnswer: r, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 10*a - 20. Let i(p) = -p**2 + 4*p - 6. Let d be i(4). Let k be o(d). Solve -k*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, f: 5, s: 7, j: 3}. What is prob of sequence tsfs?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = -4*x + 92 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 9. What is the derivative of -2 + w + 1 + 4*o**3 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 294 and -0.1125467.\nAnswer: -33.0887298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 8*w**2 - 2*w - 1. Let m = 35 - 34. Let l be u(m). Suppose -3*q = -5*c + 5, -3 - 17 = -l*c. Solve q*a - 20 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-6 + -8 + (-7 - -23))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (735\/(-35) - -23) + (-10 - 0). Which is the third biggest value?  (a) -5  (b) -4  (c) p  (d) 5  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**3 + 1357299*a**2 + 5941*a - 468?\nAnswer: 18*a + 2714598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32333312101 + -10?\nAnswer: -32333312111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 17*u**2 + 1. Determine c(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 11\/2, -30, 948, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -523*96685\nAnswer: -50566255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105)\/4*(12\/(-16))\/(1575\/2800)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149020467 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 5. Let r = k + 1. Solve 0 + 4 = -r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**3\/3 + 83678*b**2 - 2008324*b\/3 + 1004168 = 0 for b.\nAnswer: -251042, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1050 a factor of 40244400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1247, -1298, -1383, -1502, -1655, -1842, -2063?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/115778 and -11\/12337.\nAnswer: 1505114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 206 + -216. What is the units digit of (-542)\/(9 + 95\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 - 4*x + 2. Suppose 111*v - 117*v = -78. Let i(z) = z**2 - 2*z + 1. Give v*i(p) - 6*h(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - n**3 - 7*n**2\/2 + 1140*n. What is b(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -136*j + 20740575 + 7498057. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -2*l - 10. Let d be -4*3*(-11)\/4. Let m = 49 - d. Calculate the remainder when l is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 602 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 16  (b) -2\/21  (c) 1  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1. Let l(j) = 8*j + 16. Let h(d) = 16*i(d) + l(d). Let w(z) = 2*z**2. What is w(h(t))?\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -455 (base 7) in base 4?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*(z*z**(5\/11))\/z*z*z*z**35 assuming z is positive.\nAnswer: z**(423\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = b, 21*b - 16*b - 385 = -5*j. Suppose -51*d + j*d = 276. Let z(l) = 11*l. What is the remainder when z(2) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 19*d. Let v(h) = -162*h. Give -5*v(z) - 42*x(z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 182532817 rounded to the nearest ten thousand?\nAnswer: 182530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**9\/l*l**(12\/11) assuming l is positive.\nAnswer: l**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of -5*x**4\/24 + 5*x**3\/6 - 2*x**2. Let k(u) = 81*u - 81. Let s(f) = 2*k(f) + 33*l(f). Differentiate s(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -175*15\/(-750) + -6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -91*l**2 - 6824*l + 96. Give x(-75).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y = 23*y - 8. Suppose -2*l + 12 = -0*l - y*r, -r + 22 = 3*l. Let u(j) = -j + 3. Give u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 1 + 15*u**2 - 18*u**2.\nAnswer: -3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35*-90\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of r**5\/12 - 1115*r**4\/12 + 2225*r**3\/6 - 2*r**2 - 2865*r. Find c, given that a(c) = 0.\nAnswer: 1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 2\/9  (c) 1  (d) 0.0348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-3))\/(1\/3). Suppose -4*x - 4*v - 4 = 0, -3*x + 3 = -6*x - 2*v. Which is the closest to x?  (a) 3  (b) -1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/4 + 4 + -3. Let l = -42.8344 - 0.0656. Let k = 43 + l. Sort 2\/7, -2\/3, r, k in ascending order.\nAnswer: -2\/3, r, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - u. Suppose 4*f = -16, -2*t - 1 = f - 17. Let z be (u + 4\/t)*115. Calculate the highest common divisor of z and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**4 - 2322*o**3 + 36947*o**2 - 117642*o + 83016 = 0.\nAnswer: 1, 3, 12, 2306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - 3\/((-3)\/(-2)). Let h = 6 - y. Find the second derivative of 2*r + 0*r**5 - h*r + r**5 wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -5*r - 3*w, 0*r + r = -3*w + 17. Suppose 5*i = -4 + 49. Let p = i - 2. Solve 3*x - 12 = a, p*a = -r*x + 2*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -89.\nAnswer: -9\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -33*v + 334. Let j be w(10). Let t(y) = -y**3 - 9*y**2 - 9*y + 2. Let i be t(-8). Solve -2 - i = j*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - 5)*2*-1. Let l be (17 - 7)\/(c\/(-3)). Let h(b) = b**3 - 15*b**2 + 2*b - 19. Let k be h(l). Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 6. Suppose -2*n + 3*g + 28 = 2*n, a*g + 36 = 4*n. Let j = 97 - 53. Calculate the greatest common divisor of n and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 4 - 18 = 2*s, s - 5 = 0. Let b be ((-4)\/6)\/(o\/1308). What are the prime factors of -4*(-1)\/(4\/b)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 1. Let r(o) = -5*o - 25. Give -6*a(t) + r(t).\nAnswer: t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*l**2 + 12*l**2 - 8*l**2 + 2*l**2 as z*l**2 + u + h*l and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-45) + (7 - 406\/105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 p, and 1 i when three letters picked without replacement from {m: 5, b: 2, p: 5, i: 1, k: 2, j: 5}?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 52 = 2*v, -4*k + 4*v + 3335 = 3407 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -14*k - 7. Determine u(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -120*h. Let c(d) = -13*d**2 + 9*d + 9. Let w(k) = 3*k**2 - 2*k - 2. Let o(q) = 2*c(q) + 9*w(q). Determine b(o(t)).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35255422 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 10:30 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 187380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + u + 18 = 3*y, y + 2 = u. Suppose 30 = 5*j - u*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 5. Let h be 2\/(-8) + (-127)\/4. Let j = -20 - h. What is the smallest common multiple of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 9) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -16157 in increasing order.\nAnswer: -16157, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -0*p - 5*v + 2, -3*v + 10 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2. Let n(w) be the first derivative of 73*w**5\/30 + 45*w**2\/2 + 115. Let v(k) be the second derivative of n(k). Give v(o(y)).\nAnswer: 584*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/2)\/(w\/(w\/w**17)) assuming w is positive.\nAnswer: w**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -115270 + 3?\nAnswer: -115266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7884729.211 rounded to the nearest one thousand?\nAnswer: -7885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -197 - -196.94. Let u = -230 + 2528\/11. What is the nearest to 0 in 4, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 168\/218555 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26644898811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1275615 is divided by 5207.\nAnswer: 5107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1570 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 19 = -2*q - 3*s + 6*s - 0*s, 3*q + 3*s + 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.3 + 0.3. Put 2, 1\/9, u in ascending order.\nAnswer: u, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 9, j: 11}. Give prob of sequence oojj.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g**3*o**3 - 3*g**3 - 6*g*o**3 + 3*o**3 + 52*o**2 with respect to g.\nAnswer: -3*g**2*o**3 - 9*g**2 - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 13 = 1. Let g = -12 - r. Suppose 4*y - 8 = -3*h, -g*h = -5*h + y + 13. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -3, 314 in ascending order.\nAnswer: -3, 26, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j - 16. Let x be y(-5). Let q = 26 - x. Determine g so that -10*g + 5*g**2 - 32 + 18*g**4 + 40*g**3 + q + 7*g**4 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/7 + 16*y**2\/7 - 18*y\/7.\nAnswer: 2*y*(y - 1)*(y + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b + 5696 = 90*b. What is the remainder when 283 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/((-4)\/16 + 0). Let a be (5 + 0)*32\/l. Is 5\/a - (-573)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**5\/3 - 134530*b**4\/3 - 1005761050*b**3 - 22584328513750*b**2\/3 - 450480732935000*b\/3 = 0.\nAnswer: -22415, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*t - 2*t - 76656. Suppose -6*v + t = 1953. Is v a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 489904357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.9 + -7.486. Let a = -0.866 - -0.94. Let y = x - a. What is y rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -617*b + 513*b + 6864 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 8 - (-1384)\/684)*6\/(-4). What is the nearest to 0 in v, -4, 19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, s: 3, d: 3, o: 4, f: 3, p: 1}. What is prob of sequence fvfp?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17267, 35053, 52839, 70625?\n\"Answer: 17786*d - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 42402 or 42400?\nAnswer: 42402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of z**7\/70 - z**6\/40 - 5*z**2\/2 - 5. Let n(u) be the second derivative of l(u). Let n(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1367 is divided by 426.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 3*p - 2, 4*n - 7*p = -2*p + 4. Suppose -3*d + 676 = -t, 486 = 4*d + 3*t - 398. Suppose -180 + d = -11*u. Sort 4, n, u.\nAnswer: u, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 18892*n + 1756996. Determine r(-93).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 3*j + 5*o - 19, -j - 3 = 4*o. Let s = j - 8. Is s at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 74\/10 + (-8)\/20. Is 20 a factor of (-3 + f)*(-58)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**3 - 3106*r**2 + 62424*r - 300096 = 0.\nAnswer: -3126, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23466 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(1\/4)*p*p)*p\/(p**5\/p))\/((((p\/(p*p\/(p\/p**(2\/15)))*p*p)\/p)\/p)\/(p\/p**(-1\/12))) assuming p is positive.\nAnswer: p**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31080 + -31083. Let v(i) = -19*i + 2. Let b(n) = 18*n - 3. Give m*v(j) - 2*b(j).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -255 + 349. Calculate the remainder when m is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 437*s - 94. Let r be b(-16). Let q = r - -12517. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qenqn. What is prob of picking 2 q and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p**2 + 72*p + 4. Let r be d(-24). Suppose 20 = -4*g, r*c + 5*g = 2*c + 211. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of c**5\/12 + 415*c**4\/6 + 68890*c**3\/3 + 292*c**2. Factor s(l).\nAnswer: 5*(l + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 238, -1\/8, -13 in descending order.\nAnswer: 238, -1\/8, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -12. Suppose q*h - 84 = 16. Solve 2 = -2*o + 2*m + 4, -5*m = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33858 and 226974.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-875*x + 236*x + 481*x)*(-2 + 2 - 3*x)*(0 + 1 - 2) to the form p*x**2 + k*x + i and give p.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -146 + 148.19. Let i = -1.69 + x. Let v be -1 - (15\/(-6))\/5. Sort v, i, 8\/3 in increasing order.\nAnswer: v, i, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -26*a + 24. Let w be n(-6). Suppose -w*q - 220 = -185*q. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*l)*(-2790 + 3205 + 5991) to t + i*l and give i.\nAnswer: 12812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12340324 and 4077.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2. Let q(n) = -50*n - 4. Give w(q(a)).\nAnswer: 2500*a**2 + 400*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-935 - 95 + 10 - 528)*(-5 + 5 + 4*c**2).\nAnswer: -6192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 18. Let u(r) = 2*r + 17. Let v be u(-8). Let s = v - c. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -9. Let y(b) = -b**2 + 5*b - 1. Let x be y(d). Find the first derivative of -3*m**3 - 1 - m**x + 0*m**3 + 3*m**3 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13391*t**2 + 131 + 164 - 295.\nAnswer: -13391*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37.59 - -40.59. Which is the second biggest value?  (a) 1.3  (b) x  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.4, 4, 644, 3, 30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 105*u + 84*u - 154*u. Let g(i) be the second derivative of -i**3\/3 + 2*i + 18. Give a(g(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(18\/(-10) - -2). Suppose 2*m + 0*m = 0. Let a = 2 - 4. What is the nearest to m in p, a, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157611 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(68) + sqrt(68)*-1)*3)\/(3*sqrt(4)*-2 + sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3726328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 12*y**2 + 3. Let q be v(-12). Suppose 112 = 3*a - 17. Let c = a - q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4 - 4) + 3 - -149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**4\/9 - 329260*x**3 - 5926690*x**2\/9 + 329260*x + 5926688\/9 = 0.\nAnswer: -2, -1, 1, 1481672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/69, -192, 1, -1\/10, 1\/3, -12\/5, -4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -7. Put 11, 2, t, 3 in decreasing order.\nAnswer: 11, 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -5*a - 300, y + 44 = -0*y - 5*a. What is the closest to y in 2, 4\/7, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 209\/110 + -2 - ((-10)\/100 - (5 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 1\/10*x**6 + 3\/20*x**5 - 1\/14*x**7 + 0*x**2 + 0*x**3 - 5*x - 1\/4*x**4 + 0. Determine y so that i(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 5*x + 4. Let h be w(-5). Suppose 10 = h*g - 10. Suppose -5*m = -5*j + 45, 2*m - 7 = -4*j + g. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -128, -130, -132, -134?\n\"Answer: -2*y - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2310 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14687 + 205525\/14. What is the common denominator of j and (7\/84)\/(2\/292)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 + 0.1. Suppose 0 = 31*f - 173*f - 284. Let h = -23 - -71\/3. What is the fourth smallest value in -3, h, f, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -5*p + 9, -6*p + 8*p + 3*u - 8 = 0. What is the hundreds digit of -2 - -2*((p - 4) + 71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85413.339 rounded to the nearest 10?\nAnswer: 85410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -400*k = 2973 + 7827 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 211583d (base 14) in base 12?\nAnswer: 52a9113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -153.\nAnswer: -153, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 34. Sort -3, g, -2, 3.\nAnswer: -3, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 253 - 248. Suppose p - 1 = 2. Find n such that 0*n**p + 0*n**2 + 2\/11*n**4 + 0*n - 2\/11*n**c + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2739020 is divided by 114120.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 39 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1179030129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**3 + 2956404*b**2 = 0. Calculate b.\nAnswer: -1478202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/16)\/((-10)\/8). Let i = 0.8 - 0.3. Let p = i + -1. Sort c, p, -0.1.\nAnswer: p, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3261 - 3259. Let y be 168\/(-18) - 1\/(-3). Let l = 9 + y. Sort f, -2, l, 4 in decreasing order.\nAnswer: 4, f, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xra when three letters picked without replacement from {q: 1, a: 6, r: 3, x: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 9*u**2 - 2*u + 3. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 14*d = 4*c + 25, -d = -4*c - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9*-1230.4.\nAnswer: -2337.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.09 in -4\/7, 0.5, 610\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12084 and 182780.\nAnswer: 29062020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, q: 1, e: 4}. What is prob of sequence tee?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265 is divided by 261.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*z**2 + 51*z**2 - 101*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2089 and -167?\nAnswer: 167.2089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5375.267 micrograms in milligrams?\nAnswer: 5.375267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/28 + (-2 - 20435\/427)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -556*w + 1. Let a be o(1). Let n be a\/2 + 6\/4. Let b = n + 2211\/8. What is the common denominator of b and 59\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/3 - (-112)\/(-42). Let q be 3\/(-1)*(-1 + -2 - w). Factor -28*l**q - 5*l**2 - 2*l**4 + 43*l**3 - 5*l**2 - 3*l**4.\nAnswer: -5*l**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (54\/(-4))\/((-12)\/(-24)). Let m be t\/(-12) - (-4)\/(-16). Solve -5*z + 3*p = -26, m*p = z - 6 - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2*y - 15 = 2*b, -2*y = b + 3. Suppose -b*m + 3*f + 3 = 0, 0 = -4*m + f - 2*f - 21. Let t(p) = p**3 + 5*p**2 + 5*p + 5. Calculate t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l - 16. Let y(c) = 2*c + 4. Let h be y(2). Let d be k(h). Solve 8*n - 2*r = 4*n - 4, d = -r + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11349 + -11349. Solve -s - 17 = -5*u - 2*s, -2*u - 4*s + 14 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 789787, 789056, 787837, 786130?\n\"Answer: -244*t**2 + t + 790030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -1 - 3. Let n be (-10)\/c*1098\/(-90). Let h = 117\/5 + n. Find the common denominator of 101\/20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dyd when three letters picked without replacement from yyeeeeeezddedzeyzvy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 104147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a = -5*a - 2*a + 198 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r + 1. Let a be ((-7)\/((-35)\/150))\/((-2)\/(-5)). Let k = a + -81. Let q(f) = -4*f + 7. Calculate k*n(v) + q(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 p, and 1 m when three letters picked without replacement from {s: 3, m: 3, v: 1, y: 5, p: 1}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(77) - (sqrt(77) + (1*sqrt(77) - sqrt(77)))) + sqrt(77))\/(sqrt(7) + (sqrt(7) - sqrt(7)*2*2)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 7*k. Let h(r) = -3*r**2 - 20*r + 1. Let d(u) = -3*h(u) + 8*v(u). Calculate the remainder when d(-5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 2*m. Suppose 4*k - 2*q - 42 = m, 0 = -3*k - 3*q + 4 + 23. What is the smallest common multiple of 84\/8*(0 + 8\/6) and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*((-60)\/(-160))\/((-6)\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x*x**(-2)))\/x)**(11\/2))**(-4\/5) assuming x is positive.\nAnswer: x**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20130\/24 - (10\/(-8) + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 82. Let v = w - 54. Solve 3*b - v*m + 3 = 0, 4*b + 3*m + 2*m + 31 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a - 1. Let l be w(3). Let h = 15 - l. Calculate the greatest common factor of 56 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 25*j**7\/7 - 5*j**6\/2 + 328*j**3 + 710. Find the third derivative of l(b) wrt b.\nAnswer: 3000*b**3 - 900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*o = 135*o - 340 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/18)\/(128\/2304).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 1\/3*t**4 - 2*t - 1\/20*t**5 - 1\/3*t**3 - 10 + 0*t**2. Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.61153 kilograms to nanograms.\nAnswer: 55611530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2*i - 2 + (-228 - i + 228)*(143 + 325 - 319 + 347) to w + p*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53*z + 2*z**2 - 18 - 53*z)*(24*z**2 - 8*z**2 - 14*z**2).\nAnswer: 4*z**4 - 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 793, 0.3, -0.01, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*b + 43*b - 21*b - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213436024 is divided by 1045?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2803 + -2870.47. Round o to 0 decimal places.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2180*q + 39217 = 2*v - 2183*q, 5*q - 39273 = -2*v. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17.6 and 0.32772.\nAnswer: -5.767872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -114 + 118. Let t = -6 - -2. Let v be ((-24)\/16)\/((-180)\/16). Sort v, -2, t, d in increasing order.\nAnswer: t, -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 116750*j**3 - 2451751*j**2 - 2568479*j + 22 = 0. Calculate j.\nAnswer: -1, 1\/116750, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zyyzggyynzf. What is prob of sequence zyyg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*f + 24 = 71*f - 5*o, 5*o = -9*f + 163 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29856 + 45149. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 4*b**2 - 9. Let l be 42\/15*((-6)\/(-4) - -1). Let m be n(l). Let r be (-22)\/m - (-32)\/(-17). What is the smallest value in -0.9, -4\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(11) + 0)**2 + (sqrt(1584) + sqrt(1584) + sqrt(1584)*-1)**2)*3.\nAnswer: -24*sqrt(11) + 4833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*b - 96 = 7*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-11\/2)*b**(-5)*b)\/(b**(15\/7)\/(b\/b**(-19))) assuming b is positive.\nAnswer: b**(285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 - -125. Calculate the greatest common factor of f and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 15) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21578 is divided by 10121.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2839567427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 4, p: 1, h: 6, m: 2, r: 1}. What is prob of picking 2 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-7480)\/(-16))\/(-11)*112\/(-10). What is the greatest common divisor of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/10)\/((-6)\/(-30)). Let a(p) = -p - 1. Let t(b) = 5*b + 3. Let i(j) = f*t(j) - 6*a(j). Let k(w) = -2*w**2. What is i(k(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 0 - 4 - 4*c + 9. Let s(z) = 7*z - 9. Calculate 11*j(t) + 6*s(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 3*t + 4. Let z = 37 - 40. Let b be k(z). Find the second derivative of 24*n**2 + 9*n - 24*n**2 + n**3 - b*n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 3. Let h = 13 + p. Let u be (-2)\/(-3) + (-8)\/h. Solve u = d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35.8, -18.7, -1\/10, 1\/10, 0.2.\nAnswer: -18.7, -1\/10, 1\/10, 0.2, 35.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 175803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 101, 98, 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 + -2 + (-6 - (7 - 32)) + -5 + -12?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + -2 - (27 - 6 - 13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 54.184 from 14.\nAnswer: -40.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79549832.\nAnswer: 2, 9943729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*x + x**2 - 28*x - 4*x**2 + 6*x**2 as j*x + a*x**2 + t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 4 + 2)*(3 - 3 - 2*n**2) + n**2 + 5*n - 5*n + 4*n**2 - n**2 - n**2 - 405*n**2 - 76728*n + 76728*n to m*n + o + g*n**2 and give g.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + 0 + -4 + 2 + -5 + (-33 - -29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6ac6 (base 13) to base 5\nAnswer: -440114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -50076310 rounded to the nearest 10000?\nAnswer: -50080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 11, p: 2}. What is prob of sequence xxxp?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 + (-14 - 63) - 14.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/w**(-7))\/w)\/((w**(-1)*w)\/w))\/(w**0)**(-4\/21))**27 assuming w is positive.\nAnswer: w**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 125\/2 - 64. Let b = -1544.5 + 1180. Let f = -364 - b. What is the nearest to t in f, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4543, -4473, -4357, -4183, -3939, -3613, -3193?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: a8d7 (base 14) to base 5\nAnswer: 1413242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 1:27 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d + 237 = -92. Let p = d + 99. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5)*d**(-1\/3))**(-9)\/(d**(1\/2)\/(d**0*d))**42 assuming d is positive.\nAnswer: d**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 12*l**2 + 6*l - 45. List the prime factors of d(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.074, 2\/11, 0.1, -4, 4, -1\/32 in decreasing order.\nAnswer: 4, 2\/11, 0.1, 0.074, -1\/32, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 4 - 4 + t. Suppose 3*y - 12 = -y - 2*f, -5*f = -5*y. Let i(g) = 0*g**2 + g**2 - 5*g**y + 5*g**2. Give m(i(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - (395096\/296)\/(-29)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 486*g**3*j**2 - 2*g**3*j - 2*g*j**2 - 147*g*j wrt g?\nAnswer: 2916*g*j**2 - 12*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -7 + (-6 + 1 - -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 81*z**5 - 5*z**4 - 41*z**2. Let j(b) = 40*b**5 - 3*b**4 - 21*b**2. Let t(x) = -5*j(x) + 3*k(x). What is the third derivative of t(q) wrt q?\nAnswer: 2580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/2319786 and 49\/9747?\nAnswer: 2319786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24460*s**3 + 45714*s**3 - 21251*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3 = -t, 3*t + 0*t + 3*x - 3 = 0. Let j(s) = 17*s**t - 6*s**2 + s**2. Let v(y) = -y. What is v(j(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -510 + -5?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7158, 8606, 10998, 14328, 18590?\nAnswer: 23778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 124311734 and 1085692?\nAnswer: 248623468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.714 - -103.01069.\nAnswer: 98.29669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 12 + 4 + (0 + 1 + 3)*(1 - 3 + 4))*(-g + 4*g - 4*g)*(4 - 6 - 9) as p*g + n and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6.3159 * 835\nAnswer: 5273.7765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*s - 205*s + 5655 = 0. Is -206 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*s**4 + 43*s**3 + 40*s**2 + 9*s.\nAnswer: s*(s + 1)*(3*s + 1)*(4*s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2543232 (base 7) to base 13\nAnswer: -b7324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 14*o = -18*o + 44, -u + 4*o - 9 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 271, 5, -4 in decreasing order.\nAnswer: 271, 5, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**2 + 10*f + 20. Let p be m(-5). Let r = p + -45. Which is greater: 2\/215 or r?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1402\/(-4) - 4\/8. Let x(b) = -9*b**3 - 827*b**2 + 92*b - 350. Let r be x(-92). Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62425282?\nAnswer: 2, 223, 139967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by -8.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2201727, 4403413, 6605099, 8806785, 11008471?\n\"Answer: 2201686*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.757356 decades in millennia?\nAnswer: 0.09757356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2886 or 12019?\nAnswer: 12019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -9  (c) 2\/9  (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (-2)\/(-24)) + (-21)\/(-28)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**2 + 4 + p**2 + 0)*(-10*p - 13*p + 11*p).\nAnswer: 24*p**3 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 463.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pnpcppcc. What is prob of picking 2 c, 1 n, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64 + -61. Let d be 25162\/546 + 1\/3. Let u = 326\/7 - d. Which is the second smallest value?  (a) -1  (b) f  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -22. Let j = 3 - 1. Let p = j - 2. Solve -y + 3*y - 4 = 3*i, p = i + 3*y - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 8*r**3 + 2*r**2 - 3*r - 7*r**2 + 0*r**3 - 4 + 5*r**3 in the form z + i*r + m*r**3 + w*r**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 797852.3 micrograms in nanograms?\nAnswer: 797852300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 7, n: 4, w: 2}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeh when three letters picked without replacement from ejhhhhe?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -9748.313 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 304*w**4 - 293*w - 354596 wrt w.\nAnswer: 1216*w**3 - 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 72 = 4*h. List 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 0.71 less than -132.76?\nAnswer: -133.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -172 + 0*j + 0*j**4 - 2\/3*j**3 - 1\/2*j**2 - 122\/5*j**5. Find the third derivative of v(d) wrt d.\nAnswer: -2928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/151, -1\/2, -137 in ascending order.\nAnswer: -137, -1\/2, 2\/151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -462, -2\/9?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -5*i**3 + 6*i**2 - 4*i - 31. Let r(w) = 11*w**3 - 14*w**2 + 9*w + 61. Let l(y) = -9*b(y) - 4*r(y). Let n = -1 + 1. Is l(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -b + 1412. Let f(g) = -g. Calculate -4*f(s) + r(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1703035619 to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*h - 56*h + 81564. What are the prime factors of h?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 63770\nAnswer: 63770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4309741.8 rounded to the nearest one thousand?\nAnswer: -4310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 2. Let s = -40 + 39.6. Which is the closest to -4?  (a) -2  (b) h  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1167266110*a**2 + 1118606156*a wrt a?\nAnswer: -2334532220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*n - 364 = -7. Solve -n*y + m - 14 + 13 = 0, 7 = -y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 2 + 4. Let a be (-1)\/(2\/(-9))*z. What is the units digit of (6\/(-4))\/(a\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -128880 - -556780. Round k to the nearest 1000.\nAnswer: 428000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -7*f + 8. What is q(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00011063 to 6 dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -38666 in increasing order.\nAnswer: -38666, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -28039, -55563, -82571, -109063, -135039, -160499?\n\"Answer: 258*c**2 - 28298*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 - 831904136*c - 43254030718369156.\nAnswer: -4*(c + 103988017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14867 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 368274558*q**4 - 1270*q + 34471.\nAnswer: 4419294696*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of l**3\/3 + 5. Let s = 5 - 5. Let h(j) = 0*j - 3*j + 0*j + s*j. Calculate p(h(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {x: 5, p: 2, i: 3, v: 5, y: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 87*s**3 + s**2 - 28*s + 58. What is the units digit of n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20326 and 13.\nAnswer: 264238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + u = 0. Suppose -m - y = -2*y - 3, 2*m - 5*y - 18 = u. Let v = -5 + m. Let d(s) = s + 1. Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -374, -1558, -3526, -6272, -9790, -14074, -19118?\nAnswer: -24916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + k - 2*k - 12 = 0, -4 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -19*r**2 - 134*r + 6. Let w be o(-7). Solve -w*f = 78 - 143 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 2614.\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1043 - -1175. Calculate the highest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**5\/5 + 8*r**4\/5 - 6*r**3\/5 - 8*r**2\/5 + 8*r\/5 = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20.1 - -42.1. Let y = w + -22.5. What is the second biggest value in 3\/2, y, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.9638 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 315 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7723173 months in decades?\nAnswer: 0.0064359775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28554580 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -531827 and -531825 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 32\/(-936)*6*(-3)\/4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -1 + 5. Let q = 0.2 - 0.1. Which is the third smallest value?  (a) -1  (b) m  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.038?  (a) -2059\/21  (b) -3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 8:40 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.23 + -1.40092067031\nAnswer: -1.63092067031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + 16*l**2 + 15*l + 6. Let t be z(-15). Suppose 2406 = t*k - 2916. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5*k = 6. Let o = -11 + 15. What is the closest to 1 in 1\/2, o, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfuzm. Give prob of picking 1 u and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.1, 2, -1405676, -73?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 8733*n**3 + 2*n**2 + 3790*n**3 + 4499*n**3 in the form q*n**3 + g*n + z*n**2 + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(20)*-3*3*6)\/((-5*sqrt(20)*-1)\/sqrt(5)))*6.\nAnswer: -324*sqrt(5)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - 48\/18*-3. Solve -w + 3*i = 8, 0 = -n*w + 3*i - 4 - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 + 26. Is o at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/(r\/(r*r**(2\/11))*r)))\/r)\/r**(3\/8))\/(r*r**(-1\/10))**(1\/83) assuming r is positive.\nAnswer: r**(-20731\/36520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) -38  (c) 3  (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 1 + 7 + -7 + 6. Let t = 105 - 102. Solve -t*r = -o + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*c**3 + 27*c - c**5 - 40*c**3 wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/10 + (-462)\/55. Let y(k) = -k - 4. Let m be y(r). Solve 1 = m*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 1094*t**2 + 11*t. Let p(m) = -548*m**2 - 6*m. Determine 6*h(b) + 11*p(b).\nAnswer: 536*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(288) + (sqrt(288) - (2*sqrt(288) - sqrt(288) - sqrt(288))) - sqrt(288))*3.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.28642 milliseconds in days?\nAnswer: 0.00000026951875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 384 divided by 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*t + 296*t + 12078 + 3996 = 0 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 120.053 to one decimal place.\nAnswer: 120.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13147388 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - n**2 + 7*n + 190. Let k be a(0). Calculate the greatest common divisor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17994408 is divided by 2065?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11882634?\nAnswer: 2, 3, 29, 47, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41 or -14?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -97 + 682. Let h = 1171 + -587. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41811766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2484354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 5*c + 4 = 0, 5*f + 2 = 6*f - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/4 and -35\/1424.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -2*q + 1\/42*q**7 + 0*q**3 + 0*q**2 + 0 + 0*q**6 - 24*q**4 + 0*q**5 + 3\/28*q**8. What is the third derivative of s(n) wrt n?\nAnswer: 720*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 11:41 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*z = 153*z - 266. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/8 - 1\/4. Let w = 0.23 - -0.07. Which is the third biggest value?  (a) -0.2  (b) n  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3962750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 2343*x + 28 = 2339*x, -5*i - 25 = 4*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -325?  (a) 0.1  (b) 0.11  (c) 1  (d) 20\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*72\/30*(-1)\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 269489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(2) + (sqrt(4)\/sqrt(2))**2)*-4.\nAnswer: -24 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2731407511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -36 + 4\/(-2) + (-288)\/(-48). Sort i, 5, -5 in increasing order.\nAnswer: i, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(2299 - 988 - 1158)*(u + u - 3*u)*(6 + 0 - 4)*(3 - 2 - 4).\nAnswer: 1836*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2 + 4*b**2 + 3*b**2 + b**2 + 0*b**2 - 10*b + b**3. Let k be x(-9). Calculate the highest common factor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (350\/378)\/25*837?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1874*t**5 - 186551*t**2 + 83990761*t wrt t?\nAnswer: 37480*t**3 - 373102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -3 + 3\/2*d**2 - d. Give j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + t = -9, 2*v + 1 + 21 = -4*t. Let q(o) = -4*o - 2. Let b be q(v). Let r(l) = 5*l - 8. Let h(m) = -m + 2. Calculate b*r(g) + 9*h(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w**2 - 1. Let r be u(-1). Let c be (2\/r)\/(2\/4). Let l(x) = -x**3 + 3*x**2 + 3*x - 1. Let f be l(3). Solve -h + c = -2*v - 0, 3*h + f = -5*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 304180?\nAnswer: 2, 5, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -46\/3*c**3 + 89\/2*c**2 + 7*c + 2. Find the first derivative of j(u) wrt u.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 621 = -2*s - 1049, -5*f + 4195 = -s. Calculate the greatest common factor of 960 and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*k - 44 = 0, k - 57 = -3*o - 2*k. Suppose -5*b = -0*b - 2*x + 26, -5*x - o = b. Is 8 a factor of 15*(-1)\/5*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -291230 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 25\/(300\/64))\/(2\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23626222 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6990 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74 (base 11) to base 10.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) 1\/4  (c) 2295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 24025 - 104*k**3 - 1\/3*k**4 - 8214*k**2 - 47120\/3*k = 0.\nAnswer: -155, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f**2 + f**3 + 0*f**2 + (-f**2 - 2 + 2)*(-23 + 1 - 23)*(f - 5*f + 0*f))*(-3 - 1 - 2) as v*f + u*f**3 + m*f**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from {t: 2, k: 1, b: 2, f: 6, m: 1, n: 6}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -23, 1743?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 4:13 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10 - 5*a + 5*a - 8*a**2 + 1 wrt a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qyqqqyyqqqqqqq?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 + -8. Let k(m) be the first derivative of m**2\/2 - m + 10. Let v(o) = -4*o + 7. Determine x*k(h) + v(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 548 by -6.\nAnswer: -274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(152)\/sqrt(8) + 3)**2.\nAnswer: 14*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of v**5\/30 - 9*v**2. Let o(p) be the second derivative of p**4\/12 - p. Give x(o(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -4  (b) -2\/13  (c) 2  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 8*t - 10. Let m be p(-6). What is the derivative of 7*l - 18*l**2 - 1 - 17*l**m + 7 + 32*l**2 wrt l?\nAnswer: -6*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307622.\nAnswer: 2, 7, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (2 - 3 - -2 - -5) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 254, 617, 938, 1217, 1454, 1649, 1802?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7716834919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1434 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3271 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 6:15 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 193*k - 8516. What is z(68)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 - -56. Let v be (2\/d)\/((-152)\/(-40)). Put 4, v, 0.2 in increasing order.\nAnswer: v, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2830 (base 12) in base 11?\nAnswer: -3542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 2*o = -15 + 33, -4*o - 1 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*f - 3*f. Solve -t + 0 = f*g + 3, 4*g + 10 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13 by -51.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 44597553 rounded to the nearest 100000?\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 15. Is w at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 98 = -13*b. Suppose -b = -8*f + 14. Suppose 2*q + f*q = 10*q. Does -7\/15 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 2, 4\/125, -1\/4, 414?\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -36 + 4e4a?\nAnswer: 4e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.72 + 0.08. Let a(y) = y**3 + 2*y**2 - 3*y - 5. Let v be a(-5). Let s = -66 - v. Which is greater: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 3:25 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 48 = 6*l. Suppose l = -2*x - 2*x. Let t be x\/(-9)*-250*-246. What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-9)\/27 + ((-3617)\/(-2))\/((-54)\/(-612))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325485 divided by -21699?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5929*v - 96 + 4 = -5952*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 329757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -20*m. Let c be u(1). Let d(v) = v - 1. Let k be d(-4). Let j = k - c. Solve -5*n = -0*n - j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*g - 41 = 215. Is 1\/((-7)\/(-186))*(g + -1) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/25)*j)\/(j**(-11\/9)\/j))\/(j\/j**(-22\/7))**(-35) assuming j is positive.\nAnswer: j**(33368\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4 - 4 - 61*d + 64*d. Let r(c) = 2*c. What is r(v(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**3 - 9*w**2 - 2*w + 4. Suppose 41*a - 2761 = -3048. Let m(y) = -2*y**3 - 8*y**2 - 2*y + 4. What is a*m(i) + 6*z(i)?\nAnswer: 2*i**3 + 2*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*v**2 + v + 14 - 27 + 3535*v**3 + 26 - 3536*v**3 to the form a + h*v + g*v**3 + m*v**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.081197 to 3 dps.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-1*sqrt(99) + sqrt(99))*-4 + 5)**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*a**2*p + 3*a**2 - 2664*a*p + a - 7086*p + 1 wrt a?\nAnswer: 4*a*p + 6*a - 2664*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -718*r**3 - 3*r**2 - 138*r + 7 wrt r?\nAnswer: -4308*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10524  (b) 2\/21  (c) -3  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and -1272096.\nAnswer: -1272096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/23653 and 47\/1209.\nAnswer: 922467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (33 - 1) + -61 + (-5 - -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145690 = -15*p - 31570. What are the prime factors of p?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 + 32 = 4*g. Suppose 0 = 2*z - 6*z + g. Calculate the remainder when 29 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 10:54 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.9 - -6. Suppose 5*k = 3*l - 15, -5*k - 13 = -2*l - 3. Which is the closest to i?  (a) 2  (b) 0.3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5117 divided by 119.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -r**4\/12 - r + 424. Let w(t) = 557*t**2. Calculate k(w(m)).\nAnswer: -310249*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 220*(-9)\/414 - (4\/(-24) + 575\/(-150))\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 - 2*s**3 + 3*s**2 + 3*s**2)*(11*s**2 + 20*s - 20*s).\nAnswer: -22*s**5 + 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10703269 to the power of 1\/2, to the nearest integer?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 3)*(-30 - 20 + 4)*(-p**2 + 4*p**2 - p**2)*(34*p + 7*p - 2*p) + (p - p**2 - p)*(-2*p - p + 2*p).\nAnswer: -3587*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -f - 4*f**2 - 690 + f**3 + 689 + f as d + p*f**2 + z*f + x*f**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.16 + 5. Let x = t - -0.12. Which is the smallest value?  (a) x  (b) 2  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**12)**49*o**(7\/4)\/(o*(o**(-7\/2)\/o)\/o) assuming o is positive.\nAnswer: o**(-2131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2592\/(-360)*20\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c*c*c**(1\/2))\/c))**8 assuming c is positive.\nAnswer: c**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i + 13*i - 374 = -949 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 910135 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21065 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 9) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-30)\/25)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 + 8 - -4) + 12 - (-8 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5751, -5524, -4959, -3888, -2143, 444, 4041, 8816?\nAnswer: 14937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -4. Let s(c) = 0*c**2 + 3 + q*c + 8*c**2 - 2. Let z be s(-1). Solve -2*p - z + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttttttttttwtttw. Give prob of sequence wttt.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/10 - (-552)\/(-20). Let g = f + 97. What is the greatest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.10861 - 7.89239. Let o = 8 + d. Round o to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 560 and -504.\nAnswer: -282240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3\/7 + 16*o**2\/7 + 32*o\/7.\nAnswer: 2*o*(o + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 701941333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l + 12*l - 12*l = -54066800. Round l to the nearest 10000.\nAnswer: -3180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(19) + -1)**2 - sqrt(1539)*-1)*2 + 3.\nAnswer: 49 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (762\/1143)\/((1150\/(-15))\/5)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2808064 and 48384?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/5, -1402676, -2, 4, -0.2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*(-7)\/154*2\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + 198. Suppose -4*x + f = 156. Solve -x*l + 9 - 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 129*b. Let w(f) = 231 + 4*f - 231 - 5*f. Calculate j(w(d)).\nAnswer: d**2 - 129*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of 0 - 5*s**2 + 0*s**3 + 0*s**4 - 17\/20*s**5 - 5*s. What is the first derivative of n(u) wrt u?\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 685, 1357, 2033, 2713, 3397, 4085, 4777?\n\"Answer: 2*b**2 + 666*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 210 (base 4) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = v - 5*n + 11, 0 = 2*v - 2*n. Solve -8 - 4 = -v*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103103973?\nAnswer: 3, 7, 1636571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l**2 + 21*l - 4. Let a be o(10). Does 8 divide (188\/a + 4)\/(2\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62956389 to the power of 1\/2, to the nearest integer?\nAnswer: 7935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5 or -656\/7?\nAnswer: -656\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 0*j - 21 = -u, -3*u - 32 = -4*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-24) - 11146\/(-12). Let c = p + -493. List the prime factors of c.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209882.4 micrometers in millimeters?\nAnswer: 209.8824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.7 in 1\/3, 0, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3484 + 3483. Which is the closest to k?  (a) 1\/3  (b) 38  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/3 in 0.1, -0.04, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 9*b**4 + 4 - 441*b**3 - 4 + 439*b**3 to the form v*b**3 + i + r*b**2 + l*b + c*b**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 7) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 13911686.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 58800 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29281181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q - 1051*q**2 + 1051*q**2 + 4*q**3 in the form u*q**2 + o + s*q**3 + k*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*sqrt(9)\/(sqrt(3) - sqrt(27)).\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 12*f**3 - 45*f**2 - 95*f - 8. Let n be i(-6). Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23424 divided by 6.\nAnswer: 3904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1176264664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(5)*2 + sqrt(60)\/sqrt(3))*2*-4)**2.\nAnswer: 1024*sqrt(5) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -2. Suppose -2*u + t = 2 - 5, 0 = -u + 4*t - g. Solve u*j - 3*b - 9 = 0, -j - b + 5 = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*n + 9*n - 350. Let l = 73 + n. Solve -l + 4 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 35544 + 151774 = -2*k, 3*k = 9. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 9.5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/10)\/(80\/((-185920)\/(-1079)))?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 59 + -63. Let l(y) = -y**3 - 9*y**2 - 9*y - 7. Let q be l(-8). Let g = 2056.7 - 2057. Which is the closest to q?  (a) -2  (b) w  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 445*i - 2648. Let n(z) = 36*z**2. Calculate the remainder when n(-1) is divided by t(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 680.7 and -302.\nAnswer: -205571.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-356)\/(-712))\/(2 + 1917363\/(-958682)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*m - 363*m = 267*m - 38710 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-23 - (-37 + 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 58 - 16. Let a be 0 - 0 - (-7)\/g. Calculate the highest common divisor of a and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 9:34 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3072479 (base 10) in base 11?\nAnswer: -1809443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 626 a factor of 806914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 26*p**2 + 62*p - 1300. Let d be o(27). Which is bigger: 1099 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -109 - 44*j**2 - 168*j - 219 + 35*j**2 + 7*j**2.\nAnswer: -2*(j + 2)*(j + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 107821 and 4258674?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 6*i = 6*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1266 times 516345?\nAnswer: -653692770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2101862924 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lhcc when four letters picked without replacement from ccxllxlhelc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5 + (-6*((-5 + sqrt(275))*1 - (4 + -2*sqrt(275) + sqrt(275))))**2).\nAnswer: -255066 + 38880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**4\/4 + z**3\/2 + z**2 - 2*z = 0. Calculate z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/((-810)\/18)*43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - 121334?\nAnswer: -121312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 + -21426?\nAnswer: -21435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 255\/163921 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -14*r - 9. Let s(g) = -5*g - 3. Let h(j) = 6*b(j) - 17*s(j). Let o be h(4). Let m be (-17)\/(-34)*4*o. Solve 3*v = 3, -m*y + 0 = v - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.649 - 0.321. Let a = v + 14. Round a to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-3*sqrt(153) - sqrt(153))\/(sqrt(324)*1).\nAnswer: 17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*o**3 - 9*o**3 - 5*o - 6*o**3 - 13*o**3 - 6*o**3.\nAnswer: -5*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23553322 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.8 - 6.4. Which is the closest to 1\/4?  (a) -0.3  (b) -2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151872.2396 rounded to the nearest 10?\nAnswer: -151870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1805566, -1805564, -1805562, -1805560?\nAnswer: -1805558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuufgnnguugffuffg. What is prob of sequence fu?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - (-1 + 2)) + -1 - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/50)\/(18\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -3766406.\nAnswer: -1\/3766406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*c = -96, 8 - 73 = -2*x + 3*c. List the prime factors of (3269\/x)\/((-10)\/(-40)).\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2376*z - 4744. Let a be b(2). Solve 76*w = a*w - 272 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000171444163 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4902173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -10034?\nAnswer: -10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 7. Let n = q - 7. Suppose n*z - 75 = -z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.02214  (b) -15.71  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2105 + 5.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 155*q - 156*q = -4, -7*j = 3*q - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1619, -3244, -4883, -6542, -8227, -9944?\n\"Answer: -g**3 - g**2 - 1615*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 5*r**3\/6 + r**2\/2 - 38*r. Let q(g) = 3*g + 1. Determine -8*q(k) + 5*x(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.21702 + -1.91681. Let a = 20 + -22.3. Let o = a + v. What is o rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*z + 0*z + 2*z)*(-3 - 3 + 5) as s*z + n and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 235 = -p - 25. Suppose 3*c = -198 - 360. Let k = c - p. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 314 = 4*i - 4*n - 178, 5*i + 4*n - 588 = 0. Suppose -6*g + i = -2*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a*n**3*r**2 + 2*a*n**3 + a*n**2 + 53*a*n*r + 139*n**3*r**2 - 2*r wrt r.\nAnswer: -4*a*n**3 + 278*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 3\/914?\nAnswer: 3\/914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3163*a + 4680 wrt a?\nAnswer: -3163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 90180005 to the power of 1\/2, to the nearest integer?\nAnswer: 9496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/90*-6*-93)\/((-2)\/70). Calculate the greatest common factor of 6727 and m.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -72, -123, -176, -231?\n\"Answer: -i**2 - 48*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, g: 15, e: 3}. Give prob of sequence ggy.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -1 + 4, 5 = -v - 2*j. Suppose -91*q = 107 - 380. Let x(i) = -i - 1. Let s(z) = 1. Determine q*s(n) + v*x(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.23 - 1.03. Which is smaller: 0.02 or j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36\/11, 1\/4, 1.8, 14.7 in descending order.\nAnswer: 14.7, 36\/11, 1.8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 - -9)*(-3)\/(-2). Let c = -3 + r. Suppose -4*v + 16 = -c*v. Solve 0 = -v*d - 8, -4*h - 3*d = 1 - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*m**3*s**4 - 5*m**3*s**2 + m**3*s + 2*m**2*s**4 - 14*m*s**2 + 126*s**3 wrt s.\nAnswer: -72*m**3*s + 48*m**2*s + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*m = -219*m - 876. Which is bigger: 2\/65 or m?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/234*9*-14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/((-40)\/15) - 0. Solve 13 = 4*q - 9*z + 8*z, -12 = -3*q + v*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 + 69. Calculate the remainder when j + (-3 - (-24)\/9)*-6 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -784063 and 0.06.\nAnswer: -784062.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -176877, -707519, -1591917, -2830071, -4421981?\nAnswer: -6367647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/3, -57, 2, -0.12, 96\/7, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 - 3 + 3 + (-377*v + 189*v + 192*v - 54)*(3*v**2 + 2*v**2 - 4*v**2) to p*v + m*v**2 + f + g*v**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -5*r - 18. Let u(c) = -14*c - 55. Let p(x) = -8*a(x) + 3*u(x). Is p(-21) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -0.052647?\nAnswer: -0.157941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 6 + -2 - (7 + -32 - -7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2219 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**5 - 2*b**5 + 3*b**5 + (21*b - 3014 + b**4 + 3014)*(-2*b - b - 6*b).\nAnswer: -7*b**5 - 189*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 6. Let s be i(-2). Suppose s*f + 4 = 2*v, 4*v - 5 - 27 = -4*f. Factor -p + 2*p**4 + p**5 + 2*p**2 - 3*p**2 - v*p**2 + 5*p**2.\nAnswer: p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 640.998172 - 641. Round v to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -2*q + 14, 4*q + r = -q + 5. Suppose -5*z = f - 85, 4 = z - f - 7. What is the highest common factor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -2)*(-16)\/(-2). Let a(v) = -13*v + 1. Let g be a(5). Let q = -24 - g. What is the greatest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 12:21 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -1224\/5437, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*r - 261*r + 1863 = -1041 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**3 + 3*g**2 - 9*g - 8. Let l(j) = -j**3 - 4*j**2 + 10*j + 9. Let i(y) = -5*l(y) - 6*r(y). Let b be (-3)\/(-2)*72\/(-27). Is i(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aj when two letters picked without replacement from nvnvvaevjvnuu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 6:10 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by 136160\nAnswer: -43\/136160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/25, 3, -5, -61.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11124 + -10818. Solve t*p + 8 = 298*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.97 rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 749294591 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 17*k**2 - 15*k - 13. What is z(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1578623.8 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3371 + -3371.6. What is the smallest value in -1, -0.21, c, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -450?\nAnswer: 44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r**2 + r**2 + 4*r**2 + 311*r**3.\nAnswer: 311*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 9:53 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2631.759um to millimeters.\nAnswer: 2.631759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283 + 324 - 607 + 4311*m.\nAnswer: 4311*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of -19\/60*k**6 + 20*k + 0*k**5 + 0*k**4 + 2*k**2 - 15*k**3 + 0. Differentiate m(d) with respect to d.\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c + 38. Let t be f(12). Solve i = 3*u + 7, -t*i - i + 9 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -65\/3. What is the biggest value in -5, -1\/5, -2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(3900))\/sqrt(192).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 5 = 5*g, 5*g - 1 = 6*o + 49 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 182850*d - 914278. Determine j(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w**2 - 27*w**2 + 11*w**2)*(0 + 7 - 2) in the form a*w + d*w**2 + p and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 1 + 189*f + 5 - 2 to the form r*f + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*g**3 - 4*g**3 + 12*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5882 = 41*y + 502 - 360. Let t(h) = -21*h + 2. Let l be t(5). Let m = l + y. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7611643, -7611625, -7611607, -7611589, -7611571, -7611553?\n\"Answer: 18*z - 7611661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8803.5974023+3\nAnswer: 8806.5974023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/349, -1\/6, 0.3, -139840?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -0.1, 2\/25, 2\/41 in decreasing order.\nAnswer: 1\/9, 2\/25, 2\/41, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14964 - 14964. Let n(y) be the first derivative of -19 + h*y**2 - 2\/3*y**3 + 14\/5*y**5 + 4\/3*y**6 + y**4 + 0*y. Suppose n(p) = 0. Calculate p.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 894 = -5*r - 8275, 4*r - 2*i = -7324. Let n = -1132 - r. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 535 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 319*b**5\/2 - 11245*b**4\/2 + 47338*b**3 + 40088*b**2 - 12384*b + 648 = 0.\nAnswer: -1, 2\/29, 2\/11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -7*q + 24. Let k be j(6). Let z be k\/(-10)*(-10)\/(-3). Suppose 261 = z*v + 3*v. Calculate the remainder when v is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from uyuuuyyyyyuu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 39\/2*p + 124 + 1\/2*p**2 = 0.\nAnswer: -31, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -261 - -263. Find the common denominator of (z + 2)*90\/56 and -19\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 122 - -6a5?\nAnswer: 7c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**3 + 20*b**2 - 1338*b - 4140 = 0?\nAnswer: -30, -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) - (-2 + sqrt(396))) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5*l - 4 = 0, 0 = y + 3*l - 5. Let o = 166139\/90 - 33235\/18. Put o, -2.8, y in descending order.\nAnswer: y, o, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1696, -2870, -4044, -5218, -6392?\nAnswer: -7566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.95801 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 5*g**3\/6 - 21*g**2\/2 - 4*g. Suppose 0 = f - 34 + 9. Calculate the remainder when x(14) is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**4)\/(y\/y**(-4)))\/(y**(1\/4)\/y**(-4\/9)))**24 assuming y is positive.\nAnswer: y**(-626\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-3))\/(-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4*((sqrt(1125) - 2*sqrt(1125) - sqrt(1125) - sqrt(1125)) + -2 - (sqrt(1125) + sqrt(1125) + 0 + sqrt(1125)*2 + sqrt(1125))))**2.\nAnswer: 7680*sqrt(5) + 1152061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5.298265 from 1090932.\nAnswer: 1090926.701735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 13*k - 13. Let m = 255 - 369. Let b = 123 + m. Give n(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -247 + 253. Let z(c) = 2*c**3 + 2*c**2 + 6*c + 3. Suppose 3*m = -m + 68. Let p(g) = -6*g**3 - 6*g**2 - 17*g - 8. Give j*p(k) + m*z(k).\nAnswer: -2*k**3 - 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 2 - 2)*(t**2 - 1 + 1) + 2 - 2 - 2*t**2 + (-1 - 1 + 4)*(t - t - t**2).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) + (1*sqrt(275) - sqrt(275)))*-4 + -3*sqrt(275)*-5 + -5)*-2)**2.\nAnswer: -2400*sqrt(11) + 158500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 2145*x - 2148*x = -22, -18*x + 66 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 420*r + 2. Let x(n) = 6976*n. Determine x(o(z)).\nAnswer: 2929920*z + 13952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 + 56. Suppose -6*s + 2*s = 16, t - 2*s - l = 0. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -154 - -161?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.84, 0.1, 8\/11, -0.3, -22 in decreasing order.\nAnswer: 3.84, 8\/11, 0.1, -0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 726589.9 years in decades?\nAnswer: 72658.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399 is divided by 60.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 8*k**3 - 967*k**2 - 116*k - 274. Determine j(121).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*n = -233, 4*n = -3*k + 2*n + 721. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-6) + (-14)\/(-6). Suppose 29*o + 3860 = -7*o + 3752. Is o > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -47079\/40 + 1177. Let t(i) be the third derivative of 0*i + 0*i**4 + f*i**6 + 1\/90*i**5 + 1\/90*i**7 - 7*i**2 + 0*i**3 + 0. What is v in t(v) = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 144541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*i - 5*n, 1 = -i + n + 13 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, z: 1, d: 5, n: 3, h: 10}. What is prob of picking 1 d, 1 z, 1 n, and 1 y?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -4 - 0, -4*p - 4 = -5*x for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 439*u - 412*u - 81 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**2 + 20*q + 1. Let g be b(-10). Let u be -1 - -1 - 1 - (-1)\/g. Solve -5*j - 20 = u, 9*y = 4*y + 3*j + 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 9276, -31.\nAnswer: -31, -3, -1, 9276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3111*c - 76. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3*p**3 + 20109*p**2 + 20130*p - 120672 = 0.\nAnswer: -3, 2, 6704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53125999338 - 14.\nAnswer: 53125999324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14396 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6556.06438 + 6556. Round j to three decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 736275 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 167 and 99198?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 2\/7  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 159 - 157. Let s(l) = l**2 - 3*l + 2. Calculate the remainder when s(3) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-166 + 166 - 44*k**3)*(-11 - 5*k + 11).\nAnswer: 220*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 366558.296 * -0.2.\nAnswer: -73311.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*x - 610 - 45 + 1143 = -1066 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 898129.4392 rounded to the nearest one hundred?\nAnswer: 898100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 13. Determine s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 536 + -533. Sort -4, z, -36, 2 in ascending order.\nAnswer: -36, -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(-4) + 1\/2. What is the common denominator of -47\/6 and 2*o\/((-144)\/51)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 4*b - 127 = 0, 12*i + 33 = 13*i - 3*b. What is the remainder when 323 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.19 + -21.81. Let d = -21.956 - u. What is d rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 - -69. Suppose -9 = -2*b + 5*p, 4*p + a = 9. List the prime factors of (-78)\/b + (-2)\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2074)\/(-4) - 3\/2 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 222264 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d*f**3 - 3*d*f**2 - 12*d*f + 3101*f**2 - 817*f wrt f?\nAnswer: 6*d*f - 6*d + 6202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3\/2, 0.005651, 6?\nAnswer: 0.005651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*n**2 - 325*n**2 - 154*n**2 - 512 + 512 - 62*n**2.\nAnswer: -406*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 63 + -3b9?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 4*y - 52. Suppose -20*u + 25*u = 2*t - 41, 0 = -3*t - 4*u + 73. Calculate the smallest common multiple of t and y.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -96*t. Let x(h) be the third derivative of h**4\/12 - 21*h**2. What is c(x(p))?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8.1 - -7.1. Which is the closest to -1?  (a) n  (b) 2\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/24246 and 71\/773178.\nAnswer: 6958602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5 = -5*f, -4*f - 5*z - 11 = -36 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -71\/105 + 10\/21. What is the second smallest value in -1\/4, u, 3\/4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0348565 - 0.03621. What is u rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 25  (b) -2\/15  (c) -5  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-3) - (-7)\/((-112)\/(-144))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 5*v**2 + v - 5. Suppose 2*r = -2*r + 8. Suppose -4*h - r*o + 12 = -4*o, 4*o = 5*h - 9. Determine x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 11*h**4\/24 + h**3\/6 - 277*h**2. Determine n(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129902910.\nAnswer: 2, 3, 5, 4330097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-461 - 2*z**2 + 461 + 44*z**3)*(-3*z + z + 3*z) as f*z**2 + g + d*z**3 + s*z**4 + y*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n**2 - 4437972. Let g(l) = 2*l. Give m(g(i)).\nAnswer: -24*i**2 - 4437972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27*80\/(-1600)*3\/36*10.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.015 + 0.127. Round l to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57 and 247038?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**2 + 10*h + 65. Let a be -1 + -18 + -13 + 12. Is k(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 86, 21, 2 in descending order.\nAnswer: 86, 21, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.14+-57.6\nAnswer: -57.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 441, 878, 1303, 1710, 2093, 2446?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.70065km in centimeters?\nAnswer: 5170065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -908 + 907.9. Let f be (4 + -2)*(-4)\/(-32). Put l, 3, f, 4 in ascending order.\nAnswer: l, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 17*z**2 - 17*z - 21. Let q = 263 + -266. Let w be q*(-9 + 27)*(-2)\/6. What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.023 and 0.1.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5*d + 5 = 0, -i + 5*d = 4*d + 5. Put i, 198, 0 in ascending order.\nAnswer: i, 0, 198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, m: 2, o: 2, z: 2, l: 1, s: 1}. What is prob of sequence slym?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26690741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(1\/2))**(-1\/60))**(4\/27)*(u**8\/u)\/(u*u\/u**(-1))*u**6\/((u**(-4)*u)\/u) assuming u is positive.\nAnswer: u**(3779\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 485505869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10682119 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-6) - (-26)\/6. Let o(t) = -5*t**2 - 6*t. Let g(s) = 2*s + 0*s + 4*s**2 + 3*s. What is b*o(p) + 6*g(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l - 48. Let g be s(15). Let j(c) = c**2 + 6*c - 34. Does 14 divide j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 4, 2\/587?\nAnswer: 2\/587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -179\/3, -0.3, -7 in increasing order.\nAnswer: -179\/3, -7, -0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 13581, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (36\/64)\/((-3)\/(-4)). Let u be (0 - 2)*(6\/4 - 2). What is the fourth biggest value in a, u, -1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*(1 - 4455\/4400)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*1\/4)\/(((-74639)\/(-6060))\/(-739))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9050 or 2?\nAnswer: -9050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/6, 1, -654, -0.04, -3.\nAnswer: -654, -3, -0.04, 1, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/98 and 65\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/3?  (a) 0.4  (b) -2\/25  (c) 0  (d) -1  (e) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1209 and 932.\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/4 and (8\/6)\/4*(-1652)\/1008?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**3 - 95*l**2 + 272*l + 368 = 0.\nAnswer: -1, 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 741 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -15248 divided by -1906\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 0. Suppose 4*o - 4 = b*o. Solve -x - 25 = -3*l - l, -x + 5 = o*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 6*a**2 + 2*a - 3. Let z(l) = -4*l**2 - l + 2. Suppose 13*q + 46 + 58 = 0. Let j(p) = q*z(p) - 5*n(p). Suppose -2*y - 1 = 1. Calculate j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2391517.521 to the nearest ten thousand.\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**2 + 163*r + 19. Give a(-33).\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (83*r**2 - 71*r**2 - 113*r**2)*(-3 - r + 3) - 8*r**3 + 18*r**3 + 4*r**3.\nAnswer: 115*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 349 divided by -349?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -301680.13 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19520 and 44260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u. Let h be j(-2). Suppose -41 = -x - 8*k + 7*k, 94 = 2*x - 4*k. Suppose -22 - x = -13*n. Solve -h*q + 11 = 3*m, -7 = q - n*m + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*1 + -5 + 7. Let p = 3 - -1. What is the highest common factor of r and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33833270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/9 + 20 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -673703125, -1347406253, -2021109381?\n\"Answer: -673703128*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31 and -1329175?\nAnswer: -41204425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 28 = 3*l. Let z be (-2)\/(-7) + (-160)\/l. Suppose j = z*j - 165. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v = 64 - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50622\/2106 + (-3)\/81.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -25*n + 21. Suppose 4*l = 3*i - 0 - 5, -12 = -3*i - 3*l. Let j be ((-390)\/(-45))\/(n\/i). Solve 5*t = -5*v - 7 - j, 0 = 2*t + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 419c?\nAnswer: -419a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57707.\nAnswer: 13, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 21 = 15. What is the fourth smallest value in 7, w, 4, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 4, -65, -130, -191, -248, -301?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-137 - -144)*(-120)\/(-14). Suppose -h + 2*k = 3*h - 332, 4*h - 342 = -3*k. Calculate the highest common factor of g and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -287, -502, -717, -932?\n\"Answer: -215*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 522*a - 1003. What is the remainder when 1592\/10 + (-3)\/15 is divided by x(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3301200415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17269669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*l**3 - 11097*l**2 - 136510 wrt l.\nAnswer: 15*l**2 - 22194*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15605490 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 - 32*t - 191. Let x be k(-24). Which is bigger: 3\/1682 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4719 = -3*f + 24717. Suppose 2*z + f = -11328. Round z to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -13, 219375, 2\/3 in decreasing order.\nAnswer: 219375, 7, 2\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 20 + 19)*(-f**3 + f**3 + f**5) + 2 + f**5 - 2 + 0*f**3 + 0*f**3 - f**5 + (3*f**2 + 0*f**2 - 4*f**2)*(f**3 + 4*f**2 - 4*f**2).\nAnswer: -25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w + 6. Let y be t(-4). Let p(r) be the second derivative of 1\/3*r**3 + 1\/2*r**2 + 1\/12*r**4 + 0 - r. What is p(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64 - (-76 - -242) - -125.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318040?\nAnswer: 2, 5, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 12*v**2 - 4*v - 7. Let l be n(-5). Let k = -4071\/13 + l. Which is the closest to 1\/3?  (a) k  (b) -1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**2\/7 - 19274*s\/7 + 57840\/7 = 0.\nAnswer: -9640, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -3 + 9. Let z be -16*(-1)\/v*2. Let i = z + -20. Put 3, -2, i in descending order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1479*b - 4948*b - 2393*b + 417011 + 98845 = 0 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -19 times -0.2\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**3 - 5*g**2 + 9*g + 27. Let j be p(-6). Suppose 2*t - 6*t = -5*l + 250, j = 5*l + t. Let x = 74 - l. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 14 + 1\/3*p**3 + 3\/2*p**2 - 4*p. Factor v(m).\nAnswer: (m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*t**3 - 13955*t**2 - 32060*t - 8020 = 0 for t.\nAnswer: -2, -2\/7, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (6 - -8)) + 20 + -8 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -10.1689 and -0.114616619.\nAnswer: -10.283516619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7496347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13430 + 4?\nAnswer: -13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3 = -3*m, -3*s = -123*m + 118*m - 5. Is m not equal to -2\/3749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a88 (base 12) to base 6.\nAnswer: -51052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 119777303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 1, -5\/2, 2\/99, 0.58?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3720)\/(-330)*(-2057)\/374?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47 - 547*c**2 + 83 + 548*c**2 to p + z*c**2 + f*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*k**2 + 15*k**2 + 1 - 6*k**2 in the form m*k**2 + t + d*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 485242191*p**3 - 45964027*p**2 + 9*p wrt p?\nAnswer: 2911453146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v + 4. Let l(b) = -6*b**2. Calculate l(z(g)).\nAnswer: -6*g**2 - 48*g - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 66*k**2 - 413*k - 8. Give w(-59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/13, 0.49, -3, 0.5, 5?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 4*z**3\/7 - 20*z**2 - 1016*z - 19968\/7 = 0?\nAnswer: -26, -3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5*s - 14 = 0, 0*j - 3*j = -4*s - 86. Let t = j - 32. Suppose -2*h - t*f = -129 - 31, f + 394 = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*c**2*u**3 - 6*c**2*u + 20*c*u**3*w + u**2 + 3*w wrt u.\nAnswer: -30*c**2 + 120*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75885, 76346, 76819, 77310, 77825, 78370, 78951?\nAnswer: 79574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 18, -8573, -1 in increasing order.\nAnswer: -8573, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74790 is divided by 4152?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -80458221*l - 419534108.\nAnswer: -80458221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + 6*z**2 - 6*z + 5. Suppose 8*p - 5*p = 201. Let n = -74 + p. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 1716*s**3 + 14*s**2 + 19*s + 1. Let i(w) = w**2 - 17*w - 9. Let h be i(17). Let f be d(h). Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 13*w**2 + 173*w + 1590. Give r(-9).\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 3*b + 5, -b = -5*r - 4 - 1. Let l = b + 4. Suppose -l*q = 2*j + 12, -3*q + 14 - 45 = -4*j. Solve -j*d + 2*d + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - 1. Let o = -8\/15 + 14\/15. Let v = 7 - 2. What is the nearest to 0 in v, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471*r + 475*r + 29 = 3*h, 0 = -3*h - 3*r - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1324030.\nAnswer: 2, 5, 132403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kr when two letters picked without replacement from dkkddddkrrk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + 8 + 34\/(-8). Which is the nearest to 1?  (a) 2\/5  (b) w  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (0 + 1) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 75 and 9075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-6)*(199 + -5). Suppose 0 = -o*l + 91*l + 72. What is the smallest common multiple of 44 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*i**2 - 187*i**2 - 229*i**2 + (-2*i + 2*i + i)*(i - 1 + 1) + 70 + 15*i**2 - 70 + 5*i - 2*i**2 - 5*i + i to the form o*i**2 + f*i + j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*c = -50*c - s - 10, -c = s - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 4*q**2\/3 - 9*q + 6 = 0?\nAnswer: 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n + 5 = 0, -2*n + 3869 = 3*h. Let j = 2136 - h. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/1117 in -1, -0.4, -200.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (-8 - (1 + -1)). List the prime factors of y\/(-12) + (-1722)\/(-18).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 427488*f*g**2 - 4*f*g - 110*g**2 - 12459 wrt f.\nAnswer: 427488*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 132652062*v**3 - 2*v - 277861446 wrt v.\nAnswer: 397956186*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7696, 7662, 7604, 7522?\n\"Answer: -12*v**2 + 2*v + 7706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000484633 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -6) + (-2 - -2). Let m = -1 + o. What is the least common multiple of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7214396*j**4 - 6*j - 80255 wrt j.\nAnswer: -86572752*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -2, 1\/4, 244.\nAnswer: -47, -2, 1\/4, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*f - 5*b, 2*f + 5*b = -3*f - 15. Suppose f = -4*d - 3*k + 53 + 28, 0 = 4*d + k - 75. Is d not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17772.98kg to grams.\nAnswer: 17772980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 29 = -1. Suppose w - i = -2*u, -6*u + 3*u + 3 = 0. Solve f + c + 3 = w, 6 = 2*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -35. Let c = z - -77. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 4*l + l - 135, 2*w + l + 91 = 0. Let m = w + 66. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -2*b**7\/7 - 791*b**4\/4 - 85*b**3\/3 - 1952. What is the third derivative of h(d) wrt d?\nAnswer: -240*d**3 - 4746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 46*q + 5. Let o(i) = -15*i - 2. Let n be (5 - 3)\/(3\/(-9)*-2) - -8. What is n*o(u) + 4*m(u)?\nAnswer: 19*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + (-90)\/(-12))\/((-66)\/(-924)) - (-92)\/(-13)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 996225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3 + 9*p**2 + p - 9.\nAnswer: -(p - 9)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = a - 40. Suppose 3*b + 36 = -2*q, -q - 11 + 71 = -5*b. Let g be a\/(-16) - (-3)\/b. Sort g, -4, 0 in descending order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 2.5. Let g = h - 6. What is the nearest to 0 in g, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 100. Suppose 7*h = 28 + r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -6*r + 29. Suppose 0 = -x + 3*q + 35, -q - 158 = -r*x - 3*q. Let b = -28 + x. Put 5, -3, b in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 4)*(x - x + x**3) - 3*x**3 - 2 + 39*x - 39*x.\nAnswer: -5*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*q + 175*q = -15*q + 2904 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 10*v + 9. Determine b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 5  (c) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 0 + 2 + 3 + 5*p + 2*p. Let m(r) be the second derivative of r**3\/6 + r**2\/2 + r. Let y(a) = -6*m(a) + q(a). Differentiate y(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - sqrt(42)\/sqrt(6))*-3 - sqrt(7) - sqrt(63)\/(sqrt(27)\/sqrt(3)))**2 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 43 + -d?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**4\/4 - 13*i**3\/3 + 3*i**2\/2 + 39*i - 112. Let d be r(-13). Solve -4*o = 2*f - 4, -2*f + 3*f + 3*o - 2 = d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 296 - 290. Let t(h) = h**2 - 2*h - 5. Give t(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*o + 5*w - 17 - 1 - 9 = 35*o, 8*o + 21 = 3*o - w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18 less than 994?\nAnswer: 993.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 94*c*i**4 + c*i - 24*i wrt i?\nAnswer: 1128*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 11*h**2 - 6*h + 4. Let c be d(7). Let w = -72 + c. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Solve -3*f - 9 = -l*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*c + 816229 + 613192. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/17)\/((-2764)\/23494)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 40*g**2 - 2*g + 29 + 162*g**2.\nAnswer: 202*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55\/57 - -12\/19. Let q = 2482\/3 - 841. Let f = q - -14. What is the closest to k in f, -0.3, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4*q - 737 = 0, 5*c - 13*q - 741 = -15*q. Let n = 206 - c. What is the remainder when n is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39 + 38. What is the closest to g in 2\/15, 2, 1\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-62)\/6 + 10 - 151\/(-444). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 2*f - 9 = 0, 2*f = 2*m + 2039 - 2025 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 3 = 6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**3*r**2 + 7*l**3*r - 8*l**3 + 2*l**2*r**3 - 28*r**3 wrt r?\nAnswer: 2*l**3 + 12*l**2*r - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 10*s**3 + 7*s. Suppose v + 4*l - 2 = -4, 0 = 2*v + 4*l - 12. Let h(k) be the third derivative of k**6\/40 + k**4\/12 + k**2. What is v*h(o) - 4*u(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 4 + (22 + -28 - 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 447782075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48216, -48672, -49118, -49548, -49956, -50336?\nAnswer: -50682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.260813 - 2.1608182. Let v = l + -3.1. Round v to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4514776213 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 16400 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190111687?\nAnswer: 190111687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244*r - 745*r + 285*r + 252*r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 91893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.374 take away -255366?\nAnswer: 255369.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17 + -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -3 + (3 - 0) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14587\/19 + -767. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.92388 and -229255?\nAnswer: 229255.92388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 2\/19, -1, 438 in descending order.\nAnswer: 438, 2\/19, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9260, -36801, -82698, -146945, -229536, -330465, -449726, -587313?\nAnswer: -743220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 75\/4 of a second?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91062*-0.052.\nAnswer: -4735.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 360 and 96885?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 790636 by 71876.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1916, 3826, 5734, 7640, 9544, 11446, 13346?\n\"Answer: -c**2 + 1913*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -110000100001100101 (base 2) in base 7?\nAnswer: -1455316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d + 7. Let m(a) be the first derivative of -a**2\/2 + 4*a + 10. Suppose 4*h - 12 = -t, 2*t - 15*h = -16*h + 10. Calculate t*k(c) - 7*m(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*r**2*v**2*w + 59*r**2*v*w**2 + 17*r**2*w + 2*r*v**2*w**2 + 2*r*v**2 wrt w.\nAnswer: 118*r**2*v + 4*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 1 = 3*a. Suppose -2*c + 10 + 20 = -3*w, 4*w + 43 = 3*c. What is the greatest common divisor of c and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of 0*u**2 - u**4 - 15*u + 1\/2*u**5 + 0*u**3 + 0. What is the third derivative of a(c) wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(1 + (-4)\/(-1)). Suppose -2*t - z*f = -t - 382, -5*f - 2060 = -5*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2949207903.\nAnswer: 3, 1049, 312383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 328.09 - 328. Which is the nearest to u?  (a) -3\/8  (b) -0.5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 48*w - 880.\nAnswer: 4*(w - 10)*(w + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11835 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.6652 times -12934?\nAnswer: 60339.6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in -2, 220\/7, -4\/7, 21\/845?\nAnswer: 21\/845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h**3 - 5*h**2 + 11*h + 2. Let c(s) be the third derivative of s**6\/60 - s**5\/15 + 5*s**4\/12 + s**3\/3 + 1022*s**2. Give -5*c(y) + 4*r(y).\nAnswer: 2*y**3 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 23*i + 22. Suppose 2*c - 2*v - 5 = -15, 5*c - 15 = -5*v. Let s be x(c). What is the second smallest value in -3, 4\/7, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5516710*f**3*l**2 + 40*f**3*l - 27*f**2*l - 813*f*l wrt l?\nAnswer: 11033420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47698, -96067, -144448, -192847, -241270?\nAnswer: -289723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 842*s - 356 - 1668*s + 771*s. Let q be m(-7). Which is the closest to q?  (a) 3\/5  (b) 0.2  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -55576760*v*w - 622146842*v + 12*w wrt w?\nAnswer: -55576760*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1307 + 1312. Which is the nearest to -47?  (a) 4  (b) g  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-42))\/((-4)\/12). Let h = 0.17 - 0.07. Let s be (50\/(-15))\/((-6)\/9). Which is the nearest to h?  (a) s  (b) 4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 - 26 = -t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/24794 and -63\/1426.\nAnswer: 768614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3549.2*-131.\nAnswer: -464945.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28965.\nAnswer: 3, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -339 times -0.2?\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -43?  (a) 5  (b) 110  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*-2.268\nAnswer: 0.15876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -975, -7, 3 in increasing order.\nAnswer: -975, -7, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-54 - 10*m + 54)*(1263*m - 628*m - 632*m + 52) in the form i*m + z*m**2 + k and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16.488 + -0.112. Let f = 16.5999909 + a. What is f rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 16284 = 9959. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -83 + 94 - ((-268)\/570*-21 + 6\/10)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 850399364 to the nearest integer?\nAnswer: 29162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - a = 3*a + 20, 4*a = 2*q - 28. Let b be (1 - 1) + q\/(56\/21). Let f be b\/(3\/2*(-1)\/(-9)). Solve 8 = 2*o, 6*o - o - f = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(2\/5)*(c**8\/c)\/c*c*c)\/(c**(-2)\/(c**(-5)\/c*c))*(c*c*c**(-1)*c*c*c**(-1\/6))\/(c**(-8)*c**(-4\/3)) assuming c is positive.\nAnswer: c**(533\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3 - 119445*u**2 - 3944856*u - 3825408.\nAnswer: 3*(u - 39848)*(u + 1)*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - 268016124.89.\nAnswer: -268016125.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*g + 532 = -15*g. Which is the second smallest value?  (a) -8.9  (b) g  (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*u**4 - 27*u**4 - 27*u**4 + (u + 2*u - u)*(-u + 2*u**3 + u) + 2*u**4 - 4*u**4 + 3*u**4 - 4*u**4 + 3*u**2 - 3*u**2.\nAnswer: -33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -2 - 9 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 102 - 99. Suppose 23 = l + 4*r, 2*r - 5 - 14 = -3*l. Suppose -a*u - 16 = y - 6*y, -y - l*u - 4 = 0. Solve -y*p = -1 + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r**2 + 4*r**2 - 3*r**2 + (-r + r - 2*r)*(1 - 1 + 2*r) + 430663622*r**2 + 1 + 11*r + 7*r - 430663331*r**2 to the form k*r**2 + y*r + g and give k.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -l + 2*l + 4862*l**2 - 4705*l**2 in the form d*l + u*l**2 + n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 439062 by 5629.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m = -27*m - 35*m - 288 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from alxalxaaa. What is prob of picking 1 l and 1 a?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4280 + 4280.16. Which is the third biggest value?  (a) s  (b) 0  (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m + 1. Suppose -10*u - 12 = -2. Let i(y) = -5*y**2 - 5*y - 5. Give u*i(j) - 5*h(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 10*k = -2*p + 460, 3*k = -3*p + 720. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4176 + 6.5824. Which is the closest to -43?  (a) 0.5  (b) y  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*u**5 + 3*u**3 + 12090*u**2 + 79918*u.\nAnswer: -40*u**3 + 18*u + 24180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -44802.7 to the nearest one hundred.\nAnswer: -44800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1040 + 4028. What is the greatest common factor of 415 and b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 23*x - 6 = -27*x, 0 = 3*w + 3*x - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 4*q + 6. Let y be m(8). Suppose 213 = -5*r + 4*d, 4*d + 5 - y = r. Let o be r\/10*(-4)\/6. Solve -s = -2*x - 2, -x - o*s - 12 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7920 + -7922. Let z = -14 + 57\/4. Let r = 31.1 + -31. Put z, r, b, 3 in decreasing order.\nAnswer: 3, z, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/292 and 35\/292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/18, 3\/14, 2, 0.6?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 1)*3\/(-4). Let u = -29 - -94. Let z = u + -65.4. Put w, 1, z in descending order.\nAnswer: 1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13239\/5884)\/((-9)\/(-528)*4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -3)*(-1 - (-324)\/336).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j - 4*t + 10, -j + 5*t = 10 - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 212 = -5*u + 724, 5*u = -2*p + 944. Suppose 3*q + u = 5*q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1246 + 2893. What are the prime factors of w?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.7 - 0.6. Let i be (1 - -1)\/((-2475)\/(-297)). Which is the third smallest value?  (a) i  (b) 1\/2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/(-1) + 18 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*t + 468 - 413 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y**2 - 403*y + 11*y**2 + 403*y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 3*v**2 + 2225433*v = 0.\nAnswer: -741811, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 17 - 14536?\nAnswer: -1451a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107136?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 731204 is divided by 308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (0 + 3) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(882)*-2*1)\/(sqrt(96)*-2 - sqrt(6)*-1*-6) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 1. Suppose 22 = 4*p - u*d, -4*p + 7*p - 5*d - 13 = 0. Let j = p - 3. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1370 + 2001. Suppose 0 = -v + 5*c + 70 + 73, 0 = -5*v + 4*c + h. List the prime factors of v.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asaaaaaaaaassa. Give prob of picking 2 a.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*u + 21666 + 21003 = -121187. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2087227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.367 + -5.537. Let w = r - -6. Round w to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + -1 - (-7 + -3). Let y(g) = g**3 - 8*g**2 + g - 5. Let t be y(k). Suppose t = 3*h - 6. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 8. Suppose 5*k + 4*v = 30, a*k + v + v = 14. Is k less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q**2 - 237*q + 0*q**2 + 13*q**2 + 116 + 237*q as c*q + h + m*q**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 531252 (base 8) in base 14?\nAnswer: 48614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -247.147\nAnswer: 74.1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -2.5. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/9)\/((-15)\/(-180)). Let h(x) be the first derivative of 4\/5*x + 3\/5*x**a - 27\/10*x**2 + 41\/15*x**3 + 7. Determine s so that h(s) = 0.\nAnswer: -4, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(5\/6))**40)**(-1\/43) assuming l is positive.\nAnswer: l**(-100\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73*j**2*y**3*z**3 - 6*j**2*y**3 - 96*j**2*y**2*z - 2*j**2*y + 7*j*z**3 wrt y?\nAnswer: -438*j**2*z**3 - 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2999131 is divided by 375?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11551 (base 7) to base 15.\nAnswer: d6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 - 2*l**2 - 919*l**3 - 1414*l**3.\nAnswer: -2333*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3. Suppose 0 = -g - w, 4*w = 4*g + 2*w + 12. Let a(u) = -u + 16. Give g*a(z) - 11*p(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 16418162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4\/7, -704, 8\/5, -2\/11, -0.5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -87.7 + 0.1717163239?\nAnswer: -87.5282836761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 9339.26g?\nAnswer: 9339260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(0 + 1 - 2)*(7 - 7 + 10*k**2) + (3 - 3 + 2*k)*(2*k + 2*k - 2*k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 13*k**2 - 209*k + 4. Let b be n(16). Let x be (-3)\/9*b*-20. Is x >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, s: 2, g: 7}. Give prob of sequence gs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9345 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: b\"What is the dth term of 515, 860, 1191, 1508, 1811, 2100, 2375?\n\"Answer: -7*d**2 + 366*d + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.16 - 1.84. Suppose -4*j = 4*v - 48, -4*j + 38 = 3*v - 2. Suppose l = z - 5*z - v, -20 = 5*l. Which is the nearest to 2\/5?  (a) z  (b) -0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*s + 110*s + 15688 = -86*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5630, 5493, 5278, 4997, 4662?\n\"Answer: 2*p**3 - 51*p**2 + 2*p + 5677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 487*l + 513*l + 2*l**2 - 1507*l + 507*l + 3*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (87\/((-20706)\/(-364)))\/(5\/85)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 + 7 = -3*o + 3*k, -3*o = 3*k - 48. Calculate the smallest common multiple of 99 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 408258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2730343 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1260 = 8*h + 300. Suppose -6*t = 2*t - h. Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - 11*m + 3. Let l be b(-8). Let x be 6\/(-9) + 112\/6. Let z be 1155\/l + 4\/x. What is z rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84368309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 435380*x**3 - 145250*x**3 - 144897*x**3 - 144887*x**3.\nAnswer: 346*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35988\/19 + -1894. Which is the closest to 9?  (a) 2.8  (b) 5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 + 17*x - 29. Let g be m(6). What is the third derivative of 30*v**6 - v**2 - 23*v**6 + 40*v**6 - g wrt v?\nAnswer: 5640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 900 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-61)\/((-15128)\/(-589)))\/((-2)\/16)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-5*(-1*sqrt(171) + sqrt(171)) + -2 + 3 + -3*sqrt(171)*-3)*4)**2.\nAnswer: 1728*sqrt(19) + 221680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 1. Is 13 a factor of (-1)\/a*(56 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49551 by 1.\nAnswer: 49551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 15*g + 2. Let y = 28 + -19. What is the tens digit of x(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 485 + -245. Let g = -3728 - -29779\/8. Calculate the common denominator of (-78)\/o + 4\/(-5) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 140171599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence baa when three letters picked without replacement from pppmaapbappnbobppp?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/38*70813\/7454.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -71592\/32173 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.08 + -0.22. Suppose 37*m = 26*m. Which is the third smallest value?  (a) 5  (b) m  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4711*f - 1567. What is the thousands digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/405*9*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 412602 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63*c**2 - 148*c.\nAnswer: -c*(63*c + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 11:00 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 14*w - 5. Determine f(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14970787272789\/1405776724 + -1\/63898942. Let a = -10648 + s. Find the common denominator of 131\/6 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**1\/g)**49)**(2\/11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-10) + (-174)\/15. List the prime factors of (-66)\/(-4) - 6\/t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4, q: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1275069514 take away -36217?\nAnswer: 1275105731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.21226 millennia in decades?\nAnswer: 3521.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 3 + -27 + 21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30682 - -2?\nAnswer: -30680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14061, 13771, 13481, 13191, 12901?\n\"Answer: -290*z + 14351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**3 + 3*j**2 + 3. Let r(v) = v**2 + 6*v + 2. Let p be r(-6). Let g be (7 - 3)*p\/(-4). Let l(s) = s**2 + 1. Calculate g*l(a) + y(a).\nAnswer: 2*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -12*g + g + 0*g + g + 7*g. Let c(p) = -69*p + 3. Give n(c(r)).\nAnswer: 207*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + 3095598.9264?\nAnswer: 3095598.7264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 16 = 50*p - 47*p, -2*p = -3*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - 4*d**2 + 4*d**2)*(11*d - 11*d - 7*d**2).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7065 - -7084. Calculate the remainder when 1916 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/10 + 1732*z\/5 + 1499912\/5.\nAnswer: (z + 1732)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1353 >= -1351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10123010233 (base 4) to base 8.\nAnswer: 4330457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 367.7885 + -297.609. Let y = 70.0954846 - j. Let f = y + 0.084. Round f to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28.6496454 - 319\nAnswer: -290.3503546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2176 is divided by 181.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 58 and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 3 - 6) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 48 = -2*p. Let y = p - -34. Suppose -2*i - 322 = -233*o + 228*o, -4*o + 2*i + 260 = 0. What is the remainder when o is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4916425 or 2\/15?\nAnswer: -4916425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -18. Suppose v = j - 4. Let p be (6 - 6)*3\/9. Which is the biggest value?  (a) p  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -951 + 946. Let x(r) = -5*r**3 + 2*r**2 - 6*r + 2. Let y(a) = -4*a**3 + 2*a**2 - 5*a + 2. What is m*x(o) + 6*y(o)?\nAnswer: o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of 1\/10*x**5 + 0*x**7 - 1\/112*x**8 + 5*x**2 + 0*x**3 + 0*x**6 + 0*x + 0*x**4 + 0. What is the third derivative of g(z) wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 6295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 6 = -3*g + 24, 0 = 2*g - 10. Let o(l) = -14*l + 80. Let a be o(6). Put a, i, 0.5, 2 in decreasing order.\nAnswer: i, 2, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 3675352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 66729 > 2068617\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 6) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/((o*o\/(o**(-2\/15)*o))\/o))**(-1\/7)*(o\/o**18*o)\/o**(3\/4))**44 assuming o is positive.\nAnswer: o**(-11231\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-4)*6*4\/(-9). Let s be 1*3 - i\/16*4. Suppose 3*m - 253 = s*c, -4*m - 5*c + 73 = -316. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/6 and -79\/878.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 2 + (-24 - -86) + -71.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 46031266914.030049 + -46031289291. Let o = z - -22376.03. Let q = -0.94 - o. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3328 + -3327.95928. What is s rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -71 + 70.6. Let h = 34.4 + -32. What is the biggest value in h, -2, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166634 is divided by 493.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**16\/v**(8\/9))\/(v**3\/(v\/(v*v**(-1\/43)*v))) assuming v is positive.\nAnswer: v**(4309\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 211251388 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 + s + (-1 + 3 + 2)*(-7*s + 3*s + 2*s) to w*s + i and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.94 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0.1  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b + 36 + 764*b**2 + 22 + b + 44*b**2 - 117 wrt b?\nAnswer: 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1601*h + 6425. Give p(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15183 by 7.\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -8*z - 7. Let l be 296 - (z + -5 + 3). Suppose 709 + l = 4*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 20257374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39.9 + -40.3. Let k = -0.54 - -0.04. Let q = -166.9 - -167. Which is the nearest to q?  (a) -4\/7  (b) k  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 3*y + 125 = 0, -5458*y + 5456*y - 102 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - -6)\/(2 + -3 + 3). Let l = 278 - 277.9. Put 93, l, -0.3, j in decreasing order.\nAnswer: 93, j, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.04 - -0.04. Suppose -1 = 3*o + 5*j, -7 = -13*o + 8*o - 4*j. What is the closest to w in o, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -78, -14.2, -28 in decreasing order.\nAnswer: -14.2, -28, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2970967, -11883836, -26738611, -47535286, -74273855, -106954312, -145576651, -190140866?\n\"Answer: r**3 - 2970959*r**2 + r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, x: 7}. Give prob of sequence xxx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from urhurruurhhrrwh.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1282010 and 80.\nAnswer: 10256080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*n + 2\/3*n**3 + 20*n**2 - 10 - 10*n**4 - 1\/3*n**5 = 0. Calculate n.\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -146*s + 74*s + 76*s. Let p(m) = -10*m + 15*m - 5*m + 28*m**2. Determine p(u(k)).\nAnswer: 448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from tmfxqbx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-2 - -2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -112*r**2 + 11*r + 27. Determine s(-2).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 668 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 390933 smaller than 390933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, i: 6, a: 4, f: 3, n: 1, p: 1}. What is prob of sequence ypff?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.3?  (a) -281  (b) 2\/29  (c) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8140 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 28402468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1903354 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (324\/10)\/(4*(-66)\/968*187\/170)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {u: 6, w: 7, j: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 21179 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cuthqcucuhuqthcccucc. What is prob of picking 2 c, 1 q, and 1 t?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -11*a - 387. Let u(x) = 2*x + 3. Calculate -m(b) - 4*u(b).\nAnswer: 3*b + 375","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 6*x - 2. Let f be y(2). Let p = 0 - f. Let s = 12 + p. Solve -s*c - c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 2*h**2 - h + 2409. Let j be t(0). Suppose -j - 553 = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 24 + 7233*c**2 - 23.\nAnswer: 7233*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n**2 - n**2 + 4*n**2)*(2*n - n - 3*n) + 0*n - n**3 + 0*n - 6*n**3 - 6 + 6 to k + r*n**2 + c*n**3 + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2040605 = 5*a - 76857, -2*q = 4*a - 1693972. Round a to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 77*m - 2. What is the tens digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 193 + 15. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) 8  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + 0)*0\/13. Let s(m) = 7*m + 9 + i*m - 3*m. Let h be s(-4). Is h at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48\/79 at most 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/26 + (-132)\/351.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*x = -y - 558, 442 = 4*x - 3*y. Let m be (-1 + -2)\/((-18)\/x). Let o = m - 389\/21. Which is the nearest to 1\/2?  (a) 2\/13  (b) o  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of g**5\/20 - g**4\/4 + g**3 - 2*g**2 + 19*g. Let y be r(2). Let j be -4 + (y - (3 + -5)). Solve -4 = 2*a + j*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g**5 + 5*g**2 - 5*g**2 + (0*g**3 + 0*g**3 + g**3)*(4*g**2 - g**2 - 4*g**2) + 513*g - 513*g - 4*g**5 + 6*g**2.\nAnswer: -2*g**5 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 62362554 a multiple of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -137 times -13039\nAnswer: 1786343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d + 6 = 3*d + x, 16 = -4*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12704006 is divided by 2540797.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 15*n + 42. Let l(z) = -3*z + 41. Calculate l(p(o)).\nAnswer: -45*o - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24045978.\nAnswer: 2, 3, 11, 364333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1019 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1649, 1639, 1629?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3551406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8\/807 + -933\/5380. Let z = 1\/15 - a. Let v be (14\/(-21))\/((-4)\/30). Put z, v, 1 in ascending order.\nAnswer: z, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - i**2 - i - 1. Let b(k) = 5*k**2 + 5*k + 5. Suppose -4*x - 3*t = 21, t + 7 = 3*x + 39. Let w be (-11 - x)*(-30)\/12. Give w*m(z) + b(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(-11))\/(14\/((-5)\/(-5)*-12)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*m = 437 + 883. Let i be (-6)\/(-8) + m\/(-80). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: 207945+-0.5\nAnswer: 207944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, w: 1, p: 1, i: 1, s: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4110 - 32957\/8. What is the common denominator of -19\/4 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p**3 - 199968 - p + p + 199968.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 670279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 6:23 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99575 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/77 + 67\/385. Let v(d) be the first derivative of -y*d**2 + 1 - 1\/5*d**5 + 1\/10*d**4 + 1\/3*d**3 + 0*d. Factor v(g).\nAnswer: -g*(g - 1)*(g + 1)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((408\/10)\/((-312)\/1040))\/(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 35 = -5*p + 26, 3 = m + 4*p. Suppose -280 = -3*x + 5*s + 307, -5*x + 1005 = -m*s. What is the highest common factor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*p + 78*p + 51*p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 87 - 78. Let p be ((-18)\/8)\/o + 33\/(-12). Let n(x) = -2*x**3 - 4*x**2 - 2*x. Calculate the lowest common multiple of n(p) and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*f - 22. Solve -f = 5*s - 5*r + r, -5*r = -25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -554, 1\/6, -4\/303?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5354726 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 585 = -3*d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 6. Let k(x) = 3*x - 18. Let y(t) = -8*c(t) - 3*k(t). Let p be y(6). Suppose -4*u - 58 + 510 = p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.707415 tonnes in kilograms?\nAnswer: 7707.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, d: 2, k: 3, c: 3, p: 1, e: 6}. What is prob of sequence ep?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/19))**(-25) assuming j is positive.\nAnswer: j**(25\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rgrgrggrrggg. Give prob of picking 1 r and 3 g.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 126 - 111. Let c be h\/12 - 225\/36. Let n(f) = -f**3 - 5*f**2 - 4*f + 4. Give n(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 4049870.56\nAnswer: -16199482.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-84)\/20)\/7)\/((-2)\/30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 2*b**2 + 9*b + 2. Let q be g(-4). Sort 2, -1, q.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 35*v**2 + 295*v + 19. What is l(-42)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50250809*k**5 - 5*k**2 + 19728984*k?\nAnswer: -3015048540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 + 0. Let p be 4\/7*119\/j. Suppose 0 = 3*x + p*f + 6, 0 = -5*f - 15. Solve x = -2*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2128, 4244, 6346, 8428, 10484?\n\"Answer: -a**3 - a**2 + 2126*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -3*m + 20, 12*m - i = 16*m - 18. What is the greatest common divisor of m and 6596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 11\/4  (b) -5  (c) 0.2  (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*o - 49 = -53*o. Solve -o*p - 4 = -18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02519380893 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1662029 is divided by 554002.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4276989, -17107904, -38492753, -68431530, -106924229, -153970844?\n\"Answer: m**3 - 4276973*m**2 - 3*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 289121 and 2884?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2349449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z + 5*z + z + (3 - 3 - 1)*(5*z - 4*z + 0*z) + 30*z - 3*z - 1 + 9*z.\nAnswer: 40*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 27. Suppose -i*z + 5*z = 3. Suppose -3*k + z = -p - 0, 4*k = 3*p - 11. Solve 5 = -n - 2*f, 7*f + p = -2*n + 4*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2500 - -2564. Let q = 68 - 5. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2423, -3545, -5413, -8027?\nAnswer: -11387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4518 divided by 1.\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21911.400995 + -21828.401. Let h = x + -83. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + z = 14, -3936*z + 3933*z = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -79, -0.05 in ascending order.\nAnswer: -79, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a + 44744 = -4*a. Let x be a\/(-119) + (-1)\/(-7). Let o = 96 - x. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2. Let o(j) = -8974*j. Give z(o(n)).\nAnswer: 80532676*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47575024 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - j**3 - j)*(j**2 - 3*j**2 + 4*j**2) - 3*j**5 - 3*j**5 + 3*j**5 + (3 - 6 + 2)*(-3*j**5 - 2*j**5 + 3*j**5).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*sqrt(931)*-1 + 4)**2.\nAnswer: -56*sqrt(19) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/(-98))\/(-3*1\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 2*z**2 - 20*z + 11. Let r be g(6). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/4*k + 1\/4 - 1\/4*k**2 - 1\/4*k**3 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -50. Suppose 29*g = 83*g + 864. Let v = j + g. Calculate the smallest common multiple of v and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 + 22*o**2 + 12*o + 127. What is b(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = s - 2*v - 8, 2*s = 3*v + 7. Suppose 0 = -2*c - 2*j + s - 4, -c = -4*j + 16. Let n(p) = -p + 1. What is n(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -105*r - 6097. Let h be v(-58). Let c(a) = -3*a - 3 + 24*a**2 - 32*a**2 - a**3 + 7 - 5*a. Give c(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/5, -7, 5, -4\/3, -0.068?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 1, -30, -5.\nAnswer: -30, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 2*u - 7, 5*u - 9*u - 22 = -2*c. Sort 4, -15, 0, c in decreasing order.\nAnswer: 4, c, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 - -49. Solve 8*r - 4*r - 8 = k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 649.\nAnswer: -3\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.1783 plus -0.791757?\nAnswer: -5.970057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 5:29 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**2 - 29*h + 79. Let u be g(4). Which is the nearest to -1?  (a) -195  (b) 3\/4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42771 divided by 1335.\nAnswer: -14257\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13844.36 * 2.\nAnswer: 27688.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c + 45. Let s be l(21). Suppose -7*n + s*n = -20. Suppose 72 = w + 3*w + n*q, 0 = 4*w - 5*q - 32. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500)*2 - (-5 + sqrt(10)\/sqrt(2)))*4)**2.\nAnswer: 3040*sqrt(5) + 29280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 7:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + sqrt(2) + -3 + sqrt(2)*1 - sqrt(14)\/(sqrt(28)\/sqrt(4)).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 486 and 34614?\nAnswer: 311526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w*w\/(w*w*w\/w**(-1\/2)))*w))\/w*w**(-2)*w)\/(w*w\/(w\/w**0))**46*(w*w**(-2\/3))**(2\/21)\/(w*w\/(w\/(w\/(w**1*w))))**(-7) assuming w is positive.\nAnswer: w**(-6359\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -904 = -2*b + 5*p, -3*b - 17*p + 15*p + 1356 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179 + 173 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1054 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 9 + 5. Suppose -3*a + 3*m = -402 + 348, 2*m = 4*a - 60. Solve a*o - z = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 685 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b = -16*b + 55. What is the lowest common multiple of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 4995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 79445927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n + 23. What is i(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135376594.\nAnswer: 2, 541, 125117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -479729*j**3 + 85003 wrt j?\nAnswer: -1439187*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h + 183 = -6. Is h at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 5*n + 13 = 0, 22*i - 18*i = 2*n - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -758 times 0.06\nAnswer: -45.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3551363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of -3*o**7\/490 - 499*o**6\/280 + 421*o**5\/70 + 6*o**4 + 830*o**2. Let r(h) = 0. Calculate h.\nAnswer: -168, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**3 + 8*z**2.\nAnswer: 4*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 364*y**2 - 3*y + 3. Let i(k) = -1824*k**2 + 14*k - 14. Give -3*i(r) - 14*l(r).\nAnswer: 376*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 5*x**4 - 10*x**3 - 35*x**2 - 20*x = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h + 3*h + 4*h + (-3*h + 2*h + 3*h)*(-3 - 1 + 2) to n + p*h and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -252092868 to the nearest 10000.\nAnswer: -252090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -600503?\nAnswer: -600502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5816798237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -125052.3 to the nearest one hundred.\nAnswer: -125100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**3 - 9*o**2 + 4*o + 8. Suppose -8*b - 2 = -58. Let x be z(b). Calculate the greatest common divisor of x and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 6  (b) -0.5  (c) -4\/5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 464 - 2319\/5. Which is the biggest value?  (a) n  (b) 3  (c) -1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c = -2*c. Suppose -2*m = -c*m. Does 12 divide (-5)\/(-5) - (-31 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.2 + -20.2. Let n = -24.6 - b. Let i = n + 2.6. Sort -1\/4, 5, i.\nAnswer: i, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -379\/5 - -75. Which is the second biggest value?  (a) n  (b) -10  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.19  (b) 5\/11  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n*n**7)\/n))\/n**(3\/8))**18 assuming n is positive.\nAnswer: n**(-459\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*a = 16, -2*z - 2 = -2*a - 12. Factor -x**3 + 6*x**3 + 0*x**3 + 60*x - 100 - x**z + 36*x**2.\nAnswer: 4*(x - 1)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -542\/2101 - -84\/191. Let p = 1.16 - 0.06. Which is the second smallest value?  (a) v  (b) -0.3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4446 and 39582?\nAnswer: 9776754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/9))**(-23)\/(y**(-12)\/y**2))**42 assuming y is positive.\nAnswer: y**(2408\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16043*z**3 - 22*z**2 - z - 556278 wrt z.\nAnswer: -96258*z - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 8*p**2 - 8*p - 3. Let l be z(-7). Let y be -20*(l + 0)\/4. Let f = -20 - y. Solve -4*x + 0*x + 16 = f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2. Let q(p) = -1125*p + 3. Determine q(h(u)).\nAnswer: 1125*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 10*v + 2*r, 37*r - 33*r = -20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 - 47. Suppose -p*b + 262 = -793. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684)*-1 + sqrt(684))**2 - (1 + sqrt(76)))*-3.\nAnswer: 3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -488 - -1092. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*v = -15*v - 208. Calculate the highest common divisor of 376 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/7  (b) 3  (c) -899  (d) -2\/9  (e) 1  (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/63*-7*(-45)\/315\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r + 254. Calculate p(85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 528*c - 498*c + 1290 = 0 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -3767558?\nAnswer: -3767562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -66, 2, 2\/13, -22 in descending order.\nAnswer: 2, 2\/13, -22, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2*p = 125, -3*p = -4*r + 2*p - 67. Let b = r - -42. Suppose -5*q - b = 2*v, 0*v = -4*v + q + 17. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*d - 57*d + d**3 + d**3 + 5*d**2 to z*d**3 + x*d**2 + u*d + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 (base 10) in base 2?\nAnswer: -101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w**2 + 13*w**2 - 9*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79103?\nAnswer: 79103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 842509 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 498396136.212 less than 0.068?\nAnswer: -498396136.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 10\/27 and 29\/5279?\nAnswer: 142533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 897, 6918, 23175, 54786, 106869, 184542, 292923?\nAnswer: 437130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/21 + (-9198)\/(-98). Calculate the highest common divisor of t and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (22 - 22)\/(-1*(3 - 4)). Which is bigger: -8\/15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/15)*x\/((x*(x*x**(-3)\/x*x)\/x)\/x))\/(x*x**(-8)*x**4) assuming x is positive.\nAnswer: x**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 105 + -101. Suppose -n = 4*d - 0*n + 23, -14 = d + 3*n. Suppose 2*u - o + 6*o - 6 = 0, 3*u + 14 = 4*o. Sort h, u, d in decreasing order.\nAnswer: h, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.8 - -11587.\nAnswer: 11591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 22499*t**2 + 2*t - 2. Let w be r(-2). Let q be w\/(-5) + -3 + 1. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259081.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/29177 or 0?\nAnswer: 2\/29177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2673) + 5*sqrt(2673)*-3 + sqrt(2673) - 5*-3*sqrt(2673))\/(2*sqrt(12) + sqrt(108) + sqrt(108) + sqrt(108)*4).\nAnswer: 9*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3*c = 7, 159*l - 167*l = -3*c + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + (sqrt(896) + (sqrt(896) - 3*sqrt(896)*-5))\/(sqrt(112) - (sqrt(112) + 6*sqrt(112)*5 + sqrt(112) + sqrt(112))))**2.\nAnswer: 417\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3743 - -489. Let o = y - -12929\/4. Find the common denominator of 69\/14 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 1, 38\/139, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + 3133?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from esexeeszsxx. Give prob of sequence xzs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 + 619\/9. Let u = -19181 + 19180. Suppose z - 6*z = 10. Which is the smallest value?  (a) u  (b) z  (c) -3  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 68*m**2 - 8*m - 11. Let i(h) = 34*h**2 - 3*h - 5. Let a(s) = -2*g(s) + 5*i(s). Is a(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19315 + -19312. Solve 32*n + 20 = 5*r + 27*n, 0 = 3*n + v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15371 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34134*p + 968*p**2 - 2 + 34134*p.\nAnswer: 968*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {s: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 21*z**3 + z**2 - z + 10. Let q be y(10). Suppose -14*f + 15874 = -q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*q - 10213 = 0, 49*u - 10219 = 45*u - 5*q. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 14 = -u. Suppose b - u = 18. Let x = b + -22. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1179250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -32.9, 18, 3, -5, -34?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (50\/(-4))\/5 + 2. Let i = 35739 + -35732. Which is the biggest value?  (a) d  (b) i  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 2*r = -57 + 53, -5*m + 15*r = -55 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 8 = -d. Let y = d + 2. Let t be 2\/(-7) - (-9)\/7. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14010 + 41884. Is 20 a factor of ((d\/21)\/11)\/((-4)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 11.1?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 1. Suppose -19*g + 28 = -j - 21*g, -3*g = 12. Let w(i) = i**2 - 4. Calculate j*a(k) - 5*w(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -949, -2087, -3661, -5665, -8093, -10939, -14197?\nAnswer: -17861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 8:18 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/6 and (-10)\/30 - 140\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**3 - 29 - 4*p + 12 - 15 + 18 + 11 + p**2 to y*p**3 + d*p**2 + v*p + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11794 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 10*x + 2. Let l be a(10). Let k(b) = 0*b + 5*b + 3 + 0*b - b**2 - 2*b. Let w be k(l). Solve 0 = w*q - 7 + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806111 < 806115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*t**4 - 520*t - 56*t**3 + 25*t**3 + 136*t + 30*t**3 wrt t?\nAnswer: -96*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1ce (base 16) to base 7\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) 1\/4  (c) 1\/6  (d) 47  (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -0.037.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(4\/3)*w*w*w\/w**(-33)*((w**(-3\/4)*w)\/w)**(-2) assuming w is positive.\nAnswer: w**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*x - 13 - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3031 + -3?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 92 = -5*f. Let y be ((-8)\/(-10))\/(3\/f). Suppose -2*v = -2 - y. Is v greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*w**3 + w**3 + 3*w**5 - 5*w**5 + (-w**4 + 0*w**2 + 0*w**2)*(w - 4*w + 2*w).\nAnswer: -w**5 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -9?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6 + -1. Let n = 0.07 - 0.03. Let i = -0.96 - n. Which is the nearest to i?  (a) k  (b) 0.2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264*h - 61*h = -25*h - 456. Put -5, 3, 775, 0, h in decreasing order.\nAnswer: 775, 3, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, -0.15, 2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 122550?\nAnswer: 490200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 2*y + 12, 8*b = -3*y + 10 + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g - 14*g = 40. Is g < 4\/1051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w + 0 + 2*w - 3 - w**3 - 3*w**2 + 0*w**2. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l = -224. Suppose 3*p - l = -p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qpqqquuqffkgg. What is prob of sequence fggk?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-2\/31))**(-5\/3))**(-7\/8))**(5\/4) assuming i is positive.\nAnswer: i**(-175\/1488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3*z**2 - 6*z - 7. Let y(c) = -3*c**2 - 6*c - 6. Let q(v) = 2*l(v) - 3*y(v). Let g be q(8). Let a = 405 - g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*f - 124, 2*f - 5 = 5. Calculate the remainder when g is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 447 divide 376614300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 61894000 to the nearest one million.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 0.26  (c) -1.614  (d) 0.11  (e) -5\/3  (f) -5  (g) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7308, -19413, -39582, -67809, -104088?\n\"Answer: x**3 - 4038*x**2 + 2*x - 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(2\/14) + -1. Suppose y*n = n + 130. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/((m**(-29)*m)\/m*m*m))*m**30)**(2\/13) assuming m is positive.\nAnswer: m**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-2*-2)\/sqrt(4) + (4*sqrt(85)*5)\/sqrt(5).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2184605, 4369237, 6553907, 8738627, 10923409, 13108265?\nAnswer: 15293207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/(1\/12*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -51086315 - -2\nAnswer: -51086313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13824 + 13833. Let o(l) = 5*l**3 - 9*l**2 - 9*l - 121. Let j(h) = h**3 - 2*h**2 - 2*h - 30. Determine s*j(k) - 2*o(k).\nAnswer: -k**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -85*y + 42*y - 387 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74\/3 + (-24)\/36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + a = -3*w, 0 = 2*w + 4*a. Solve -j + w = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 36?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -1, 1.5, -1\/42 in increasing order.\nAnswer: -1, -1\/42, 1.5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*p = -662946 + 1832580. What are the prime factors of p?\nAnswer: 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i + 9. Let p be g(8). Which is the closest to -8?  (a) -0.5  (b) -3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*t - 42 = 54 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4016184 rounded to the nearest ten thousand?\nAnswer: 4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -18  (b) -2  (c) -5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 5*v. Let d(z) = -4*z**2 - 96*z - 3. Let t be d(-24). Give y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a\/(a**(1\/3)*a*a))))**(3\/17)\/((a\/a**5*a)\/(a*a**(3\/2))))**(-31\/2) assuming a is positive.\nAnswer: a**(-5549\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 4*s**3 + 2*s**2 + 1. Let y(h) = -3*h**3 - 2*h**2. Suppose -4*p + 190 = 4*l + 14, 5*p - 4*l = 229. Let u = -47 + p. What is u*j(w) - 3*y(w)?\nAnswer: w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 9 + -6 - 0 - (-1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 588*w - 590*w + 9*w**2 - w**3 - 7 + 3 in the form c*w**2 + f*w + t*w**3 + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1049876, -1049875, -1049874, -1049873?\n\"Answer: s - 1049877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 9*k**2 - 5*k**2 - 6*k**2. Let u be (1 - -2) + -1 + 0. Let j(f) = -f**u + 2*f**2 + 0*f**2 + f**2. Give z(j(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 100, 80, 46, -8, -88, -200, -350, -544?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1658109871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 264\/(-3)*(-4)\/8. Suppose -2*p + c + 4*c = -127, -p = -4*c - 62. What is the highest common divisor of s and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 4*b**5\/7 + 36556*b**4\/7 + 109600*b**3\/7 - 292400*b**2\/7 - 438464*b\/7 + 584704\/7 = 0.\nAnswer: -9136, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42.3 - 36.2904. Let f = 42 + -48. Let n = j + f. What is n rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (0 + sqrt(162)*1 - (sqrt(162) + -3 + -2*sqrt(162))) + 2 + (-1 + sqrt(162)*1)*-6)**2.\nAnswer: -504*sqrt(2) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 8*u + 2. Let f be a(7). Suppose f = -y - 4*n, 9 = -2*n + 3. Let x = 256 - 251. Solve 8 = 3*t + x*p, -5 = -3*t + p - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 290029, 580058, 870077, 1160080, 1450061, 1740014, 2029933?\n\"Answer: -d**3 + d**2 + 290033*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ztzzzhhhzhhwzhthth. What is prob of sequence tthh?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**3\/3 + 3*k**2 - 19. Let r be x(-6). Solve 0 = -3*j - r*o + 3*o + 9, -4 = -4*j - 4*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 - -37. Let f(b) = 7*b**2 + 21*b + 13. Let x be f(-2). What is the smallest value in x, -5, v, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 357 + -4643\/13. Let f = -0.04 - 0.26. Sort f, 0.1, y in decreasing order.\nAnswer: 0.1, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100941691 is divided by 16823614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16752 = -2347*s - 6718 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10449*o**2 + 5226*o**2 - o**3 + 3*o**3 + 5223*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7570 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 389098138 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ij when two letters picked without replacement from vjccijjqj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 3 + 15. Suppose -3*i + 33 + 47 = 4*t, 60 = 3*t + f*i. What is the remainder when 75 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1268 + 324 = -4*r. Suppose x + 5*w = 41, -4*x - w - w = -r. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 317258.\nAnswer: -634516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.02 in 1\/7, -1, -0.2, 3\/14, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -r + 8, 5*r + 3 = 5*c + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 23 = s, 3*c - s = 4*s - 7. Suppose -4 = 8*x - 4*x. Let h be 6\/(-4)*x*4. Is h less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(-1)*(1 - 0)\/1. Let q(x) = -23*x**3 - 3*x**2 + 2*x. Let d be q(3). Let p be d + z\/((-10)\/(-4)). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 722229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 6166.8 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29.6 - -29.26. Which is bigger: n or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38 + -24. Is 4\/b + 6*445\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p. Let q be l(-6). Let b = q - -23. Let a = 52 - b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -12.2. Let s be (-13)\/(-20) + (-6)\/15. Let p = -331\/3 - -109. Which is the closest to s?  (a) -0.5  (b) i  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 592056.5ng to kilograms.\nAnswer: 0.0000005920565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154054 is divided by 778.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.3 - -7.3. Which is the biggest value?  (a) -4  (b) 4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w - 54. Let s be d(14). Suppose 0 = -3*a + 6, -3*a = -t + a - 6. Solve -5*h + h - t = -s*n, 3*n - 3*h = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9 from -0.391698308.\nAnswer: -9.391698308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/9, 1\/4, -2\/5 in descending order.\nAnswer: 4, 1\/4, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 + (-72 + -18 - -85)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*k - 7 = -5*j, 0 = 5*k + 5*j - 25. Suppose -3*u = 2*u - 10. Solve 0 = -k*l - 12 + u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 12) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.1 times 3?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2596, 21740, 57436, 109684, 178484, 263836?\n\"Answer: 8276*i**2 - 5684*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 17 + d?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (240\/(-33) - -1) + 0 + 4 and -83\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(95)*3)\/sqrt(5) - sqrt(19)) + 5 + 1 - (sqrt(475) - -3*(sqrt(475) + sqrt(475) + 1) - ((sqrt(475)*2 - sqrt(475)) + 2)))**2.\nAnswer: -280*sqrt(19) + 14921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*y**4 - 264*y**3 + 879*y**2 - 420*y.\nAnswer: 3*y*(y - 7)*(y - 5)*(7*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -825.2 + 825. Which is the third biggest value?  (a) -3\/11  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 215710 and 43220440.\nAnswer: 475424840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1784753 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 13*v**2 - 116*v + 173. Is i(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 874770 is divided by 179?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2122 - -2121.904. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -99288713, -99288713, -99288715, -99288719, -99288725, -99288733?\n\"Answer: -m**2 + 3*m - 99288715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {l: 1, x: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 - -208.5. Let d = -154 + y. Put 2, d, 29, 0 in ascending order.\nAnswer: d, 0, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (83 - 62 + 91)*(6 + 1 - 6 + 5*a) to p*a + q and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5.213 and -18.\nAnswer: 93.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 573, 572, 571, 570, 569?\n\"Answer: -v + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62873, -62871, -62869, -62867, -62865?\nAnswer: -62863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -712 + 1207. Suppose -18*f = 27*f - d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6624643, 13249285, 19873927?\n\"Answer: 6624642*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -3, -0.5, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/1134214159 or 1?\nAnswer: -4\/1134214159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72.63 + -76.63. Sort 80, -0.11, s in decreasing order.\nAnswer: 80, -0.11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, p: 3, t: 1, f: 1}. Give prob of picking 1 p, 1 f, and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1696, -6830, -15392, -27382?\n\"Answer: -1714*q**2 + 8*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10244907 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56 and 3273459.\nAnswer: 26187672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 930.3611 tonnes in milligrams?\nAnswer: 930361100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 5:41 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6169 - 0?\nAnswer: 6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 59.196 - 59.89606. Let t = 8 + -7.3. Let y = g + t. Round y to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 1 - ((29 - -73 - 49) + -106).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (110\/(-66))\/((-2)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -t**5 + 7*t**3\/3 + 9. What is the third derivative of y(z) wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29295246 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.92 + 0.08. Let g = -8.99999 + h. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2409 (base 11) to base 9.\nAnswer: 4285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and ((-77)\/44)\/((-1)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, s: 3, f: 1, v: 6, a: 1}. What is prob of sequence fasg?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 5762.\nAnswer: -28810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -10, 4, -0.068, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 26*p**2 - p - 2. Let i be c(2). Let j = i + -180. Let b = j - -116. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, 1, 5, 14156 in descending order.\nAnswer: 14156, 5, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 4*a + 29 - 8, -2*x = a + 2. Let b be (-6)\/a + 3\/6. Factor v**2 - v + 0*v**b + 1 - v.\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3110 - -3149. What is the greatest common divisor of p and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(3*1\/(-18)). Differentiate 51*y - n*y + 5 - 35 with respect to y.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -668253404 and -5.\nAnswer: 3341267020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -143 + 161 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v\/((v*v**(-2\/37))\/v*v)))\/(v**0\/v))**10 assuming v is positive.\nAnswer: v**(350\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 0*m + m)*(-4*m**4 - 2*m**3 + 2 - m**4 + 2*m**4).\nAnswer: -12*m**5 - 8*m**4 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 3*u = 1, 6*x = 5*x + 4*u - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 839394191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1319387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 6*z**2. Let y(i) = -7*i**2 - 3*i**2 + 2*i**2. Determine c(y(t)).\nAnswer: 384*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 3*a. Let y(d) = -18*d**2 - 63*d. Let i(t) = -42*n(t) + 2*y(t). Let o(u) = 25*u**2 - 3. Calculate i(o(c)).\nAnswer: 3750*c**4 - 900*c**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -1213*p + 3. Let g(t) = -404*t + 1. Give 4*b(c) - 14*g(c).\nAnswer: 804*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 - 10394968*a - 20789928.\nAnswer: -2*(a + 2)*(a + 5197482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*o - 842 - 6229 - 5641 = -1084 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 107*z + 0.\nAnswer: -107*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 58500.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/5)\/b**(2\/15))**22 assuming b is positive.\nAnswer: b**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 1 - 14 + (1 - 1 + 1)*(-4 - 3 - 1))*((0*p**4 - p**4 + 3*p**4)*(-3 + 3 - 2*p) + p**5 - p**5 + p**5).\nAnswer: 87*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 16) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(((-4)\/28)\/(39\/(-234))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -3. Let g(w) = 3*w - 10. Suppose 2*s = -0*s + 20. What is the least common multiple of g(s) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/581 and -41\/165087?\nAnswer: 1155609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 48.2 + -24.8. Let h = n + -23.4. Suppose -x + 5 = -2*x. Which is the second biggest value?  (a) h  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 1. Let a(q) = -9*q - 3. Suppose -2*b - 3*y = 17, -y - 5 + 0 = 0. Give b*a(t) - 2*h(t).\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, t: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 6*z + 4. Let w be q(-6). Suppose 5*o = 5*d - 305, 2*o + 8 = w*o. Suppose -320 = -5*y + d. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 6*x + 3. Let w be r(4). Let k be 10\/6*(w + 2). Let f = k + 7. Solve 3*l = -f*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1422 and 18?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-8))\/(156\/32)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g - 12*g + 2*c + 12 = 0, 5*g - 15 = 4*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3278, 6588, 9914, 13256, 16614?\n\"Answer: 8*t**2 + 3286*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.087 from 6.21.\nAnswer: 6.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -503568*u - 304339.\nAnswer: -503568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 59152676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20\/77 - -59\/1848. Is 11 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/19002 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 20.\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 20 = -36*i + 31*i, -i - 6*k = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -84*f - f**4 - 15*f**3 - 2901 - 2925 + 5786 - 58*f**2.\nAnswer: -(f + 1)*(f + 2)**2*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7572445717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*v**2 - 89*v**2 + 245*v**2 - 1 + 1.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 1:42 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2296 and 1046689.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 556 and (48\/60)\/((-5)\/(-75))?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 3*r**2 + 772*r + 16156. Determine b(-23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15919 or 4127?\nAnswer: 4127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 14 - 3*w - w + 10*w - 7*w. Let d be t(12). Suppose 6*q + d*l = q + 747, -3*q = -5*l - 442. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -36 - (-127 - -82 - -83)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from {e: 1, v: 2, n: 2, g: 1, u: 1, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/16 + 1\/1. Let d be 3*6\/(-3) + -4. Let k be d\/(-50) + (-2)\/10. Is k at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -26*c + 348. Let s(k) = -25*k + 319. Let a(x) = -9*g(x) + 10*s(x). What is a(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 11. Let l = 5 - n. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -35. Let w = i - -10. Suppose 0 = -2*l + w. Solve 0 = -l*y - 8 + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.0516  (b) -0.3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10530.2 + 10530. What is the nearest to 2\/9 in y, 4, 144, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -185  (b) -0.5  (c) -33  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 11*j. Let d be r(1). Suppose 2*f - 16 = -10. Suppose -40 = -4*k + x, 5*k - f*x - 46 = d. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -743\/65 + 159\/13. What is the second biggest value in 1\/62, -0.3, q, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*k + 18*k. Let m = k + 12. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 3*z + 1395 = -11*w, 1405 = w - 5*z. Is 115 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 5*w**3 + 42*w**2 - 13*w - 11. Let q(i) = 2*i**3 + 21*i**2 - 6*i - 5. Determine -9*q(y) + 4*x(y).\nAnswer: 2*y**3 - 21*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11786579 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -256453713*m**3 + 572576839.\nAnswer: -769361139*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2 = -r - 1, 0 = 2*r. Let q(l) = l**2 - l - 2. Let i be q(d). What is the greatest common factor of 20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 3, -12\/11, 9, -39?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59122 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*a + 53 + 31 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w*(w**(2\/7)*w)\/w*w)**(2\/53))**(-26) assuming w is positive.\nAnswer: w**(-1560\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = q - 0*y - 1, 28 = 5*q - 3*y. What is the remainder when 19 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -2. Suppose -b*f = -f - 20. Put -2, -4, f in decreasing order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence erp when three letters picked without replacement from phhrhgegehes?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s - 38*s - 630 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4888087252 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60296\/948*(45\/(-42))\/5. Let c = f - 176\/79. Which is bigger: -17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 15 = 5. Let t(y) = b*y**2 - 2*y**2 + y**2. Let o(p) = 2*p**2. Calculate o(t(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/6*((-8)\/3 + 0). Let g be (0\/(-3 - -1))\/2. Sort l, 3, g in descending order.\nAnswer: l, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 536683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*g**3 + 3893*g + 65*g**3 + 43*g**3 - 3893*g - 175*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 6 + 2. Suppose 4*l = 5*l - x. Suppose l*u = 9*u - 345. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(63)*-3 + -2.\nAnswer: -36*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**1*o)**(-6\/5)\/(o**8\/(o**(1\/2)*o)))\/((o**(-3\/7)*o*o**(2\/5))\/((o*o*o**3)\/o**(-5))) assuming o is positive.\nAnswer: o**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -17*z**2 + 172*z + 171. Calculate p(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/sqrt(4))\/sqrt(9) + (1 + sqrt(5))*-6 - (5 + sqrt(35)\/(sqrt(5103)\/sqrt(9)))**2.\nAnswer: -2516\/81 - 55*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 11*w**2 - 14*w - 3. Let a(h) = -h**2 - 3. Let y be a(3). What is the tens digit of f(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20832 divided by 31?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 20*h**3 + 20*h**2 - 77*h + 38. What is s(5)?\nAnswer: 2653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -152 by -6.\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.8 - -3.8. Which is the third smallest value?  (a) s  (b) 1\/6  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -8 + -1 + 1 - -1. Let j = 10 + t. What is the second derivative of -2*i**2 - i + j - 3 + 3*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293836 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1234 + 745. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 9 - 6 = 0. Solve -k*s = -t + 27, 4*t + 5*s + 21 = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000183254 rounded to 7 dps?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrdrdrdrrrrrrrrr. What is prob of sequence rddr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7529 - -90467\/12. What is the common denominator of -19\/4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 30, -3\/16, -3836, 4?\nAnswer: -3836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**2 + 60*m - 912. Calculate p(23).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0 + 1 = -x, 4*j = -2*x + 10. Put 1, 5, 8, j in ascending order.\nAnswer: 1, j, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/(-520))\/((-14)\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9496)\/(-48) - (-1)\/6. Suppose -2*t = -5*v + n, v - 3*t = 5*v - 163. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.89 - 7. Let k = 0.39 - b. What is the closest to -0.1 in -1, -4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/500479 and -2.\nAnswer: 500479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + -13. Suppose 6*b - 3*b - 6 = -i, -2*i + m = 3*b. What is the second derivative of 2*j + b*j**4 - j - 6*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*u - 12*u + 4386 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + 0*v - 3*v**2 + 0*v)*(0*v - 5*v + 3*v).\nAnswer: 6*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*v**2 + 6*v**2 - 2*v**3 + 10*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 4 - 4)*(6*s + s - 4*s)*(-5*s + 93 - 93).\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 322 and 625968.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1511 - 1561. Let q = -50 - d. Let h be (-2)\/(1\/(-2)*-2). Put 2, h, q in decreasing order.\nAnswer: 2, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -272.4 * -3.558.\nAnswer: 969.1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 300 divide 93854484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2410*m**2*v**5 - 15*m**2*v - v**2 + 28*v wrt v?\nAnswer: -48200*m**2*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 7 - 10 + 26*i - 40 - i**2. Let v be b(24). Solve 5*x - 6 + 1 = -v*l, 1 = 3*l + 4*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*s**5 + 3*s**5 + 3*s**5 + (6 - 6 - 3*s**2 + (-2*s - 1 + 1)*(0*s - s - s) + 4 - 4 + 2*s**2 + (3*s + 0*s - s)*(s - s + 2*s))*(1448 - 1448 + 235*s**3).\nAnswer: 1644*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 128899, 260324, 391759, 523210, 654683?\nAnswer: 786184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 828*z**3 + z - 2. Let r be m(1). Suppose -y + 2*w + r = 0, 3*w = 3*y - w - 2475. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25 + 7 + 15 - 6*j in the form s + t*j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 4*k**2 - 2 + (-2*k + 2*k - k)*(4*k + k - 4*k) + 2 - 2 - 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2110 (base 3) in base 4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 210102022120?\nAnswer: 210102022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 7*b + 5. Let t be f(-4). Let w = t - -7. Solve -10 + w = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 868759*a**3*l + 23*a**2 + 525*a - l wrt a?\nAnswer: 5212554*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -14 + -14 - -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of -23*x**8\/112 - 349*x**5\/30 - 31*x**2 - 14. Find the third derivative of w(p) wrt p.\nAnswer: -4140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1038*y**2 - 6551 - 1036*y**2 + 6551.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + r = -v - 24, -4*v = r - 21. Suppose z + v = -4. Let c = 15 - z. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.079556 - -1142.\nAnswer: 1141.920444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 123773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4263 (base 14) to base 3.\nAnswer: -120201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y + 3. Let p(u) = -2 - 8 - 32*u + 16*u. Let r(b) = -3*p(b) - 10*s(b). Let m(x) = -2*x. What is r(m(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -10. Find the second derivative of l*v**4 - 4*v**4 + 7*v - 3*v wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22011210 - 1111?\nAnswer: 22010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -9 - 49 - 11 - -18?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -24927.4 minus 311?\nAnswer: -25238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -74 - (0 + -4) - (-40 + 32 - -3)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 170, 275, 374, 467, 554, 635?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-11)\/12 + (-4)\/(-6). Let o = 7.2 - 5.2. Which is the nearest to 2\/7?  (a) j  (b) o  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1698 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 12:07 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 819812667 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 20. Let w be a(-20). Suppose 31*t - 36*t + 575 = w. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/4200 and 73\/43386?\nAnswer: 4338600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 61*g**3 + 37*g**3 - 21*g**3 + (-6*g + g + 3*g)*(-12*g**2 + 2*g**2 - 12*g**2) to the form i*g**3 + p*g + h + f*g**2 and give i.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -37*t - 386. What is g(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1653310373 to the power of 1\/2, to the nearest integer?\nAnswer: 40661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 9)*6\/105*10\/188.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 190.9917 + 0.0083. Which is the smallest value?  (a) g  (b) -2\/17  (c) -2\/5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/864 and -37\/24?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4 - 0.3. Let j = i + 0.6. Let f = j + -1. What is f rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 637 and 361283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 3, 0.1, 2, -103?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5822\/15 - 1160\/3. Let y = c + 1\/30. Factor d + 1\/2*d**3 + 0 - y*d**2.\nAnswer: d*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303 - 6971*f**2 - 303 + 11*f**2.\nAnswer: -6960*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5560.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is aeb2 + -304?\nAnswer: abad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 + -53.8. Let y = s - -10.4. Let v = y + 16. Round v to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -96049*f*s**4 - 2*f*s - 2*f + 102949 wrt s.\nAnswer: -384196*f*s**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*m = -3. Let i = -25 - -36. Suppose i = m*j - 19. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 2, -17, -4, -3, 437 in descending order.\nAnswer: 437, 2, -3, -4, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**2 - 17*s. Give j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggowogucwoguwcuogggo. What is prob of picking 1 o, 1 u, and 1 c?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*c - 243 = -75 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(h*h**(-7))*h)*h*h\/(h*h*h*h*h**(-1\/8)))\/((h\/h**(-1))\/h)**(-46))**(6\/23) assuming h is positive.\nAnswer: h**(891\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31.1 + 30. Let f = h - -7.7. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1007714, -1007718, -1007724, -1007732, -1007742, -1007754?\n\"Answer: -q**2 - q - 1007712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*8\/24)\/(2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x**2 + 2*x**2 + 0*x**2)*(-1 + 5 - 2)*(3 - 5 + 1).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/5*x**4 + 0*x + 0 - 1\/5*x**2 + 4\/5*x**3 - 4\/5*x**5 = 0. What is x?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0052839 rounded to 5 decimal places?\nAnswer: 0.00528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m - 5*m = 4, 0 = -3*g - m - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1608 is divided by 137.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -716, -651, -586, -521, -456?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 361522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 97 - 86. Suppose 8*l - s - 21 = 0. Solve 4*j - l*h - 32 = 0, 4*j = -5*h - 2 - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*i + 172*i**2 + 100*i - 55*i)*(1 + 1 - 3).\nAnswer: -172*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 10. Let p be (-1)\/4 - 245\/60. Is h >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/10)\/(24\/90). What is the closest to 1 in a, -3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (5 - 3 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 7 - 4)*(3*t - 4*t + 2*t)*(1655 + 1567 - 3423 + 3*t) as y*t + u*t**2 + n and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 66 - 66.18. Let m = v + -23.82. Let y = 23.5 + m. Which is the third smallest value?  (a) 1  (b) -1\/3  (c) -3\/2  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d*i**3*t**2 - 330*d*i**3 - 9*d*i**2 + 2*d*i*t**2 - 3*d*t**2 - 1475*i**3*t**2 - i*t**2 - 231*t**2 - t wrt i.\nAnswer: -6*d*t**2 - 1980*d - 8850*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.1 + 2.1. Which is the nearest to h?  (a) -0.5  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/6 - (42\/(-9) - -5). Sort -2\/23, d, -0.1, -4.\nAnswer: -4, -0.1, -2\/23, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 3\/(-3)*25. Let y = -19 - b. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 7, -8476?\nAnswer: -8476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19224 is divided by 835?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 94416144737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9320 - 16941 + 8872)*(-21*f**2 + 21*f**2 - 3*f**3) to the form h*f**2 + b*f**3 + a*f + i and give b.\nAnswer: -3753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = w + 20. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 530, 5, 1 in decreasing order.\nAnswer: 530, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 1537131.\nAnswer: 4611393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * -45980.\nAnswer: -321860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1261 (base 11) to base 6.\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -5*r. Let a(w) = -2127*w. Calculate a(t(b)).\nAnswer: 10635*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -927, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 + -100. Let d be 20\/p + 11\/9. Let i(y) = -y**2 - 4*y. Let c be i(-4). Sort d, -1, c in descending order.\nAnswer: d, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 114*l + 1. Let f be y(1). Suppose 0 = 5*h - 0*r - 4*r - 194, r + f = 3*h. Let i = 4 + h. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 8) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -o + 5*o. Suppose -2*d + 10 = 5*l - 10, o*d + 12 = 3*l. Put 1, l, -19 in descending order.\nAnswer: l, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20803589.\nAnswer: 739, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (21*(-5)\/(-40)*-4)\/((-154)\/264)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-10)*4*2. Let u(r) = r**3 + 5*r**2 + 4*r - 3. What is u(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*y - 24 - 0. Suppose 0 = -5*l - y - 17. Let b be ((-6)\/l)\/(10\/60). What is the greatest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3201 - -1758. Let q = 14186 + w. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*h**4*m + 18*h**3*m + 2*h**2*m + 669*h*m + 2*m wrt h?\nAnswer: -216*h*m + 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 12*g**2 - 6*g - 25. Let j be x(-12). What is the first derivative of 11 + 0*h + 8 - j*h wrt h?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, 4, -32, 2, 81 in descending order.\nAnswer: 81, 6, 5, 4, 2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -31*h**3. Let f be c(1). Let s = f - -33. Suppose i - 74 = -0*i - s*a, a = 4. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/8 - -11)*(0 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.01 and -1042.5.\nAnswer: -1042.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*t = -2 - 0, 2 = b + 2*t. Suppose -b*g + 3*d = -3, -5*g + 0*d = d - 16. Solve -2*u - g*j + 5 = -6*j, -4*j - 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 13. Let j = -0.095 - 1.905. What is the biggest value in -1\/6, j, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 6*g - 30. What is the remainder when 58 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 609555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2920157 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-18) + 10\/12. Let x = -38 + 108. What is the remainder when x is divided by i\/(3 - 106\/36)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 less than -98.2?\nAnswer: -105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2201 + 121322?\nAnswer: 113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from loivnlllddoo. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 35, 140, 307, 530, 803, 1120, 1475, 1862?\n\"Answer: -a**3 + 37*a**2 + a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-1344))\/((-510)\/240)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -60656, -3, 1, 0, -5, 8 in descending order.\nAnswer: 8, 1, 0, -3, -5, -60656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20*r**3*x**3 - 2*r**3*x**2 - 118*r**3 - 19*r**2*x**4 - r**2*x - 2*r*x**2 + 7618*x**3 + 127589 wrt x?\nAnswer: -120*r**3 - 456*r**2*x + 45708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2422*w. Let o(b) = 3*b**2. Give f(o(i)).\nAnswer: -7266*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**2 + 4372368*w - 4372366 = 0.\nAnswer: 1, 2186183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -105 or -39293?\nAnswer: -39293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g**4 - 4760*g**3 - 240604*g**2 + 500240*g = 0. What is g?\nAnswer: -52, 0, 2, 4810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 4*c + 2. Let u be p(4). Suppose -4*m + 3*t - 71 = 0, -u*t = 5*m - m + 86. Let d = m - -47. Is d 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 2 + -3 + 40 + -28 - (-28 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 19*r. Let x(b) = -182224*b. Let v(s) = 9762*q(s) + x(s). Let w(y) = 3*y. Calculate v(w(m)).\nAnswer: 9762*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 1, a: 1, o: 3, p: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22935 divided by -2.\nAnswer: 22935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((3\/2)\/3)\/((-171)\/65664). Let c be (27\/1 - -1)*(-48)\/x. Solve 0 = -c*l + 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, c: 4, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 + 71. Let u = q + -47. Let r = 11.04 + u. Round r to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**3 - 18*c**2 - c + 20. Let n be x(-9). Suppose 0 = n*j + 1327729 + 3747271. What is j rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u - 41*u - 34 + 15 = 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 7*r + 37. Determine n(15).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**17\/(y*y\/(y*y**(2\/51))*y))**(-41))**(21\/4) assuming y is positive.\nAnswer: y**(-220129\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x**4 + 215*x**3 + 6115*x**2 + 11565*x + 5670 = 0.\nAnswer: -18, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 26*h - 7. Calculate k(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 10 - 5 + 25 - 10)*(32 - 17*s**2 - 32) in the form d*s**2 + t + m*s and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 487*w**6 - 8077*w**3 + 15*w**2 + 125702*w - 3.\nAnswer: 58440*w**3 - 48462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3177103000 to the nearest 1000000.\nAnswer: -3177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3412525 + 1315?\nAnswer: 3414244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wpxs when four letters picked without replacement from {s: 1, p: 5, x: 1, w: 2, h: 11}.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = 0.0861253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m - 7. Let g be h(-9). Suppose 5*y - l + 5 = 0, 5*l + g = -4*y - 2. Is (601 - (1 - y)) + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3314721173 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(7) + -4)*6)**2.\nAnswer: -72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**20*y**(-1\/15) assuming y is positive.\nAnswer: y**(299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -5*c**2 - 347015*c + 12499020 = 0.\nAnswer: -69439, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1001 + -1128. Which is the biggest value?  (a) d  (b) -1\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -663*c**2 + 5. Let k(z) = -34142*z**2 + 258. Determine -5*k(f) + 258*y(f).\nAnswer: -344*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141*z**4 + 124*z**3 + 761*z - 4 wrt z?\nAnswer: 1692*z**2 + 744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 7:19 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d. Let g(f) = 17428*f. Calculate g(k(r)).\nAnswer: 17428*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h - 188*h**3 - 7*h.\nAnswer: -188*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 1. Let f be s(-3). Find the third derivative of n**f + 10*n**4 + 0 + 0 - 7*n**2 wrt n.\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2. Let q = w - -3. Let z = -89.5 - -89. Which is the smallest value?  (a) q  (b) -3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.07 - 0.03. Let s be (2\/4)\/((-3)\/66). Sort -1, -3, s, l in ascending order.\nAnswer: s, -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240 divided by -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-20) + (-18)\/(-5). Suppose 72 = k*r - 0*r. Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*z + 157*z = 301*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.07 + -3.07. Let t = -12 - -12. Let v = 1 + 0. Which is the closest to t?  (a) z  (b) v  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -61 and 1232?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1804 is divided by 59?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -9*t**2\/2 - 10*t + 11. Let r be (-1 + 0)\/(6\/24). Does 13 divide c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**3 + 1618048*l**2 + 327295510440*l + 14397870088800 = 0.\nAnswer: -404490, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*(-13)\/429*11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*n - 7*n = 0. Suppose n = 65*i - 70*i - 30. Let p(l) = l**3 + 7*l**2 + 7*l + 9. What is p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**2 + 25. Let z(y) = 8*y. Calculate -18*v(g) - 4*z(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5 + sqrt(49)\/sqrt(7))**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -506*o - 6*o**2 - 2742*o + 8*o**2.\nAnswer: 2*o**2 - 3248*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b + -31d74c?\nAnswer: -31d741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hxzk when four letters picked without replacement from khhkfxzxjjff.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*i**2\/7 - 1210*i\/7 - 536\/7.\nAnswer: -(i + 134)*(9*i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 28083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10701*x**2 - 27*x + 3 - 1 - 10707*x**2)*(-4 + 4 + x).\nAnswer: -6*x**3 - 27*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5021 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-27)*-6*(-2)\/(-52)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 14 + 56. Let l = 31 + f. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -3*y + k, 0 = 4*k - 6 - 14. Let h be y\/(-27) - 10\/99. Let r = h - 10\/33. What is the smallest value in 2\/11, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -469 + 181. Let b = y - -289.77. What is b rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 4, -4997026?\nAnswer: -4997026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 12, x: 7}. What is prob of sequence px?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 3*d - 2 - 7\/6*d**3 + 0*d**2. Let i(s) be the first derivative of x(s). Let q(w) = 2*w. Give q(i(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156*o - 377*o + 117*o**4 - 7*o**4 wrt o?\nAnswer: 1320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27721 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 4 = o, -5*o - 23 = 5*q - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 340 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5*m + 95, 0*m + m = -4. Let x = 6 - 6. Let s(h) = h**2 - 11*h + 14. Let r be s(10). Solve x = -3*a - q + 7, -r*q - z = -3*a - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 4*o**2 - o - 5. Let a be z(6). Is -2 + 4 + (0 - a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3306 - 3303. Let m(d) = -d**2 - 3*d + 3. Let x be m(2). Let c = -5 - x. Put u, 4, c in decreasing order.\nAnswer: 4, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1128803.82 to the nearest 1000.\nAnswer: -1129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x. Suppose -4*d - 15 - 25 = 0. Let q = d + 8. Let j = q - 1. What is z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/(-12) + (-12)\/(-2). Let p = 3 - 7. What is the smallest value in p, 5\/4, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-1)\/3)\/(2\/(-6)) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 58, 4, 2, 3 in decreasing order.\nAnswer: 58, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 0*w**4 - 1\/6*w**3 + 0 - 8*w - 2*w**2 - 1\/120*w**6 + 3\/20*w**5. What is the third derivative of u(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-55 + 17*n + 55)*((1 + 0 + 0)*(-3 + 1 + 3) - 2 - 3 + 3 - 10 - 15 + 11) to the form r*n + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -513.9999494 + 514. What is o rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4*j + 11549, 5*j + 0*f = 5*f + 14430. Suppose -21*y + 15*y - 111114 = 0. Let z = y - j. Round z to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 1\/3  (c) -0.5  (d) 12  (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 84291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332432721?\nAnswer: 3, 19, 71, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -5, 118, 0, -15 in increasing order.\nAnswer: -31, -15, -5, 0, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 19*u - 4. Let s be y(-16). Suppose 0 = 11*n + 41 + 806. Let r = s - n. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -241*q + 246*q + 52, 34 = 4*q + 3*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -261675958*b**3 - 310*b**2 - 27081*b + 10?\nAnswer: -1570055748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 760 * 7.\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 0*z - 8\/3*z**3 + 1\/60*z**5 - 12*z**2 + 0 + 5\/12*z**4. Let j be 58\/(-6) + 56\/(-42). Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000009775268512 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + 17*f + 6. Let t be p(17). Let s(z) = z - 1. Determine s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -3*r + 33, -1842 = -5*m + 3*r - 3689 + 1841 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4 = -x. Let v be (-5)\/x*(-6)\/(-15). Let p be 4\/(-2) + 3\/3. Is p > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8952*g - 194 = -8933*g + 889 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 20*q + 91. Let f be r(14). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 12*v**2 + 13*v - 15. Let u be o(-13). Let r = -6 - u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20928, 20887, 20846, 20805, 20764?\nAnswer: 20723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 30875503 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 3:37 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 1 + (-49 - -56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001007 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 - 25. Let f be (-1)\/(-2) - 4\/6. Sort -5, f, x.\nAnswer: -5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -2*p**5\/5 + p**3\/2 + 6*p. What is the second derivative of f(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/4)\/(l\/l**(-6\/11)))**(-29) assuming l is positive.\nAnswer: l**(2929\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, z: 4}. Give prob of sequence gzz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5367378225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1226183 is divided by 578?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 - 11*u + 9. Let x be j(-14). Let f(m) = -7*m + 7. Let p be f(-6). Let t = x + p. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 5*d - 16, 61*z - 5*d = 127*z - 63*z + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 + -1)\/(1\/4345). Suppose 6*r = r + v. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 1. Let i(a) = -192*a**3 - 288*a**2 + 173*a - 24. Let w(y) = -64*y**3 - 96*y**2 + 58*y - 8. Let o(k) = u*i(k) + 7*w(k). Factor o(m).\nAnswer: -4*(m + 2)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + 15.1. What is o rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -310*(3\/2 - 0). What is the tens digit of m\/(-15) + (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-1\/3)*s))**4)**(5\/18)\/(((s*s**(-2\/9))\/s)\/s**0*s*s**(3\/5)*s*s**(2\/17)) assuming s is positive.\nAnswer: s**(-4877\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p + 25 - 1. Let c be (1 + -13)\/p*69. What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -212, -817, -2014, -4001, -6976?\nAnswer: -11137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56997?\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 606 + -4c8?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2026407191?\nAnswer: 17, 113, 139, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*t + 19 = -d, -5*d - 10 = -t. Let l be (0\/1)\/((-1 - -6) + d). Solve l*i = 2*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 28 = -43. Let u be (x - (-7)\/4) + 1. Which is the nearest to -3\/14?  (a) -4  (b) 1\/2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -6*x**2 + 10*x - 5. Let i(o) = 7*o**2 - 11*o + 6. Let w(z) = -6*f(z) - 5*i(z). Let q be w(4). Let m = -2 - q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -83 + 32 + 439*p - 434*p. Let l be r(10). Let v be ((-245)\/(-28))\/((-1)\/4*l). What is the greatest common factor of v and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -223962, -223968, -223978, -223992, -224010, -224032?\n\"Answer: -2*n**2 - 223960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-1 + 0) - (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 12:35 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.42 + -0.58. Which is smaller: 0.8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21112 and 1721174?\nAnswer: 199656184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20644 and 11116?\nAnswer: 144508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -523856.3988 + 523617. Let d = -239.9 - r. Let p = d + 0.5. Round p to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = w - 12, -4*p + 25*w = 21*w + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -134*t - t**2 - 2 + 65*t + 62*t. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75002*g**4 - 3*g**3 + 5*g - 36968 wrt g.\nAnswer: -900024*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1, 133060, 4, -1, -5 in decreasing order.\nAnswer: 133060, 4, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**(1\/2)*o)*o)\/(((o**2\/o)\/o)\/o*o))\/(o\/(o**30\/o*o))**(-5\/12) assuming o is positive.\nAnswer: o**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -219 + 225. Let t(v) = 30*v + 38. Let a(g) = -14*g - 18. Let m(r) = y*t(r) + 13*a(r). Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79251200 rounded to the nearest one hundred thousand?\nAnswer: 79300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/2*((-119)\/(-21))\/(1\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 156 - 107. Let s = h + -45. Let p = -122\/5 + 961\/40. Which is the second smallest value?  (a) 0.4  (b) p  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 2*s**2 - 7*s + 4. Let z be o(4). Let f = -7 - z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 3060738?\nAnswer: 3060738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/(sqrt(112)*4))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 8, f: 5}. What is prob of sequence ee?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 203 - 166. Suppose 17*t = 18*t + 4*v - 12, b = 5*t - 3*v. Solve -t*g**3 + 16\/5*g - 74\/5*g**2 + 8\/5 = 0 for g.\nAnswer: -2, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3*h + 24. Let i be 0 + h\/14 + 520\/(-91). Let o be 7\/(70\/(-15))*16\/i. Solve -o*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2051 is divided by 1419.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/295105875 or 0?\nAnswer: 1\/295105875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 716841.\nAnswer: 3, 23, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7*r = 0. Suppose -v - 3*v - 4 = r. Let c be v\/(-5)*(-2 - -3). What is the nearest to 1 in c, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 104406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 - 5*x - 5. Let n(i) = 8*i**2 + 14*i + 14. Let t(q) = -4*n(q) - 11*w(q). Let a be 176\/64 - (-1)\/4. Determine t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*p + 28*p = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -7, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.59 - -5.91. Let s = -6.1 + l. Which is the second smallest value?  (a) 1  (b) -6  (c) s  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3168 is divided by 746?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fjazzazjcfaajuaaf. Give prob of sequence ca.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 4\/1845 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4\/9 + 2*s**3\/3 + 4*s**2\/9.\nAnswer: 2*s**2*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2805210 by -10.\nAnswer: -280521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -333*h**4 + 0*h**2 - 1 - 2*h**2 + 49*h + 4 + 2*h**2 wrt h.\nAnswer: -3996*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58009799*g**4 + 25965269*g**2 + g?\nAnswer: 1392235176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69362.\nAnswer: 2, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -670 + 670.3. Put k, 380, -5 in ascending order.\nAnswer: -5, k, 380","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 4, r: 3, a: 5, d: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -54. Suppose f = 3*h - 16. Let k = h + -27\/2. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 80*s + 160. Give z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 6*s**2 - 4. Let i be r(-6). Sort i, -5, 4 in increasing order.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3\/2  (b) -5\/20562  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*u - 1924 = -29854. Which is the second smallest value?  (a) 5\/3  (b) 0  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2128657 + 5?\nAnswer: 2128663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1664 and 24822\/(-4160) + 0 + -21 + 47 + -20?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g - 3*g - 3*g**2 - 39 + g**2 + 14 + 3*g**2 as n*g + a*g**2 + d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v**2 - v + 1. Let z be i(1). Suppose x = -2, -2*u - z*x + 22 = u. Calculate the remainder when 39 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (9 - (1 - 23 - -29))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1412013 is divided by 122.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 11*d**2 + 336*d + 2874. Determine h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*v - 1043 + 1029. Sort 2, 13, -16, v in decreasing order.\nAnswer: 13, 2, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 653505 and 366035?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -16. Suppose 0 = 25*p - 54*p - 1276. Let g be 0 + (-184)\/(-88) + 4\/p. Solve 2*j + g = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-14)\/(-4)*(-1 + 3) and ((-2)\/8)\/(2\/(-24))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1900\/(-35) + 4 - 2\/(-7). Let m be h\/(-225) + 729002\/(-9). Round m to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 less than 13?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) 17\/2  (b) -2\/3  (c) 0.014  (d) -0.4  (e) 0.154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-30)\/(-4))\/((-1)\/(-4)). Let k be ((-210)\/45)\/((-1)\/45). Calculate the highest common divisor of k and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 91 - 89. Let k(p) = -2*p**2 + p**2 + 0*p**2 + 3*p**v. Let w(y) be the third derivative of -3*y**5\/10 - y**2. Calculate k(w(r)).\nAnswer: 648*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7613\/105 + 363\/5. Which is the closest to 0.1?  (a) 5  (b) -0.1  (c) t  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 197*m**3 - 193*m**3 - m + m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 625*s**2 - 187*s**2 - 228*s**2 - 186*s**2.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o + 5*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 90669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 171, -930, -3311, -6978, -11937, -18194, -25755, -34626?\nAnswer: -44813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84455 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*s**4*t**3 - 135*s**4*t - 28*s*t**3 - 7*s*t + s wrt s?\nAnswer: 60*s**2*t**3 - 1620*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -6*g**3 - 12*g**2 - 2*g + 14. Let k be f(-6). Suppose 7*h - k - 398 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 4*i - 72 + 12 = 0, 0 = -2*h + 3*i + 35 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -29131 take away 19452347?\nAnswer: -19481478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 5, 69 in descending order.\nAnswer: 69, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567)*-1*3 + 2*(0 + sqrt(567)) - (3 + ((sqrt(567) - -2*sqrt(567))*-2)**2).\nAnswer: -20415 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/9*(-2)\/2. Suppose v + 3 = -m. Let d = 5.62 - 8.62. Which is the smallest value?  (a) m  (b) 2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3081*q**2 - 1383*q**2 + 1390*q**2.\nAnswer: -3074*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*y - 2 - 32*y + 57*y)*(-51 - 1 + 15)*(-5 - 1 + 5).\nAnswer: 37*y - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 41508358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 8. Let p(r) = -r**2 - 5*r + 7. Let h be p(-6). Suppose 4*z = -5*k + 59, z - 5*k + 2 = -2. Suppose z - h = -2*f. Determine u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -42145*x. Let k(s) = 100*s**2 + 1. Give k(z(j)).\nAnswer: 177620102500*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(6\/11)\/x))\/(x*x*x**(-5\/3))*(x**(-1\/3))**(8\/15) assuming x is positive.\nAnswer: x**(467\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a**3 - a**2 + a - 1. Let k be r(-2). Let z = 47 + k. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x - 3*x + x**3 + 5*x - x**2 + (0*x**2 + 2*x**2 - 4*x**2)*(4 - 4 - 2*x).\nAnswer: 5*x**3 - x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 7*s**2 - 39*s + 192. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**5\/45 + l**4\/9 - 2*l**3\/3 + 5*l**2. Let n(h) = 0. Calculate h.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 226253*o**2 + o + 80073?\nAnswer: 452506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20569, 42128, 63677, 85216, 106745?\n\"Answer: -5*t**2 + 21574*t - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 4*n - 6, 2*q - 3*q - 6 = 5*n. Let a = q + 10. Determine o so that -1\/4 - 3\/2*o - 9\/4*o**a - 7\/2*o**2 - 4*o**3 - 1\/2*o**5 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5782 - -20794. Suppose 2*v - 29988 = -0*l + 4*l, -4*l + u = v. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-42 + 42 - (12 - -2)) + -28\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 - 49 + 932 = 154*i - 329 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -9*x**2 + 10*x**2 - 1 - 5*x**2. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j - 1. Let m(r) = -21*r + 6. Let t(k) = 11*k - 3. Let v(w) = 3*m(w) + 5*t(w). Calculate -11*f(b) - 4*v(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11144 and 46?\nAnswer: 256312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3.02 + -26067.78\nAnswer: -26064.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - r**2 - 7*r + 4. Suppose 5 - 2 = a. What is the units digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2*w + 1 + 3, -3*w - 3*v + 18 = 0. Let o = -39873 - -39873.5. Which is the second smallest value?  (a) w  (b) -2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 1095*d + 16 = 1091*d, 2*c = -3*d - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*y - 86*y = -431460. Is y a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -24f96 - -2?\nAnswer: -24f94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0986 + -499.9014. Let l = 500.1 + y. Which is the second smallest value?  (a) 86  (b) l  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16.9 + -17. Let o = -999 + 36968\/37. Let l = o + 17\/148. Put g, l, -2\/7 in descending order.\nAnswer: l, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 45492, 45488, 45474, 45444, 45392, 45312, 45198?\n\"Answer: -v**3 + v**2 + 45492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -732*y + 755*y + 69 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (7 + -15 + 1 + 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 2. Let s be h(0). Is 5\/8 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-2\/13))*v**4*v)**42*((v\/v**(-2\/3))\/v)\/(v*v\/v**(2\/7))*(v\/(v*v**(-2\/7)))**(1\/17) assuming v is positive.\nAnswer: v**(999814\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-928)\/29*1\/(-20)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(121)*1 + sqrt(121))\/sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.919797ml to litres.\nAnswer: 0.006919797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1700, -1689, -1652, -1589, -1500, -1385?\n\"Answer: 13*x**2 - 28*x - 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23618222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of c**7\/147 + 4*c**6\/105 - 11*c**5\/70 + c**4\/7 + 160*c - 1. Factor m(f).\nAnswer: 2*f**2*(f - 1)**2*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -1)*(-1 - -2). Let a(b) = -1 + j + 4 + b - 4. Let i(x) = -x**2 - 3*x + 1. Let g be i(-2). Calculate a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.69 - 0.8. Let h = -0.33 + 88.33. Let m = 87.5 - h. What is the third smallest value in m, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36\/21 + 4\/14. Suppose 4 + 2 = 3*q. Solve u*s**q + 3*s + 3*s - 4*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 171, 735, 1675, 2991?\n\"Answer: 188*g**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 5*j**2 + 4*j - 2. Let p be u(4). Let v = 0.65 - 0.25. Which is the nearest to v?  (a) -4  (b) p  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*y - 185 - 213 = -88 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 361531995 by -120510665.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13390*l**5 - 1455*l.\nAnswer: -267800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5991, 5994, 5997?\nAnswer: 6000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 991 + -697. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -176, -264?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4*(sqrt(50) + 2))**2.\nAnswer: 1920*sqrt(2) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1189, -2216, -3229, -4228?\n\"Answer: 7*v**2 - 1048*v - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 202 + -203. Which is the biggest value?  (a) s  (b) -1\/2  (c) 17  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 + 2*h**2 + h. Let i be g(-2). Let m(k) = 53 - 3*k + 0*k - k**2 + 22 - k**2 - k**3 - 78. What is the units digit of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0419 - 1.0419. What is the nearest to -12 in 0.5, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 7*m**2 - 16*m - 15. Let f(p) = p**3 - 8*p**2 + 16*p + 14. Let o(q) = -6*b(q) - 7*f(q). What is the units digit of o(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y + 6. List the prime factors of q(-10).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -26*f**2 - 10*f - 5. Let k(s) = -5*s**2 - 2*s - 1. Let z(t) = 2*a(t) - 11*k(t). Let n be z(-1). Solve -x + 3*i = 12, -4*x + n*i + 13 - 31 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -r**7\/840 - r**6\/60 - 19*r**5\/240 - r**4\/8 + 8216*r**2. Solve t(q) = 0.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1211.1 + -1211. Let z(d) = -44*d + 2. Let y be z(-3). Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllllqhllhlllhlhhh?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from kddddddkddkd.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, v: 6, c: 2, t: 3, f: 3}. Give prob of sequence ncft.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 286\/1001*14\/4*(-81 + -6).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/(-1710)*19)\/((-6)\/80).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10238164\/18 + (12\/234)\/((-42)\/(-91)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of -z**8\/840 + z**6\/75 - 22*z**2. Factor t(d).\nAnswer: -2*d**3*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30289 and 0.06?\nAnswer: -1817.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11780188223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-44 - 184\/(-8)) + 21. Which is the nearest to s?  (a) 18  (b) -32\/7  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 11. Let x be r(5). Let u(h) = -h**2 + 4*h + 8. Let q be u(x). Let a(y) = y**3 + 5*y**2 + 2*y + 5. Is a(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 4 + 44 = -4*n, 25 = -5*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12592.2 times -0.3?\nAnswer: 3777.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 360599114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/633 or -113.2?\nAnswer: 2\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 285093.1816 minus -0.068?\nAnswer: 285093.2496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 1.977986 rounded to 2 dps?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6340 is divided by 6295.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(6*(sqrt(2299) + -3))**2.\nAnswer: -83088 + 2376*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.9 - 0.1. Let w = o - -3. Put 0.2, 1\/10, w in decreasing order.\nAnswer: 0.2, 1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - u - 2*j - 15, 3*u = 3*j + 9. Suppose -u*c + 4*b = -9, -4*b = -5*b + 3. Suppose c*a - 4 = 5*a. Solve a*p + 3 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6785*x + 308815 - 132664 = -353079 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1133730 and 403920.\nAnswer: 99768240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -436, -3146, -10430, -24574, -47864, -82586?\nAnswer: -131026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 2*w + 4. Let q be t(-3). Suppose -14*v - q*v + 3339 = 0. List the prime factors of v.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10553350 (base 7) to base 6.\nAnswer: -31422534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28930*m**6 + 39266*m**2 - 2*m + 1.\nAnswer: -3471600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.06 + 0.14. Let n = 7.2 - g. Let y = -5.998 + n. What is y rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170 + 164 + 654 = 24*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - -8. Let t(h) = -h**2 - 14*h - 2. Let v be t(-11). Suppose 0 = 2*z + 3*b - v, 4*z + 12 - 73 = -5*b. Calculate the remainder when x is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*z = 6*z + 6, -5*f + z + 10 = 0. Solve 4*j = f*m - 8, 6*m - 3*m + 32 = -5*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1832265 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.5563 decades to months.\nAnswer: 186.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -18)*(-9)\/(-6 + 15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 242*i**2 + 3*i - 3. Let c(b) = -b + 1. Determine -3*c(d) - z(d).\nAnswer: d**3 + 242*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 + -289 + -1 + 17 - (-5 - -2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5431654 to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43101, 86199, 129299, 172401, 215505?\nAnswer: 258611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6208*v - 6206*v - 3*u - 5, 45 = -4*v - 5*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**4\/66 + 26*g**3\/33 + 8*g**2 - 2*g + 398. Factor p(b).\nAnswer: 2*(b + 4)*(b + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4673600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*v - 7741 + 7605 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1576190675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -44.08 and -5360.17.\nAnswer: -5404.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 65.91985nm?\nAnswer: 0.06591985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83340860 by 6.\nAnswer: 41670430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -2 - (-3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1277880 and 80.\nAnswer: 2555760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -538978.149 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*j*o**2*z + 6577*j*z + 32061*o**2 + o*z wrt j.\nAnswer: -3*o**2*z + 6577*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*j + 24. Suppose 5*f + 15 = 5*h, f + 3 = h + h. Suppose h = 4*x + x + b + j, 0 = 5*x - 3*b + 12. What is the nearest to -1 in x, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - x + 2*x**2)*(-19*x - 5*x**2 + 19*x)*(-2 + 1 - 1)*(-2*x - 3*x + 4*x).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 11 - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*n - 138*n - 27*n - 365*n.\nAnswer: -431*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.91 + -1.09. Which is the third biggest value?  (a) -4  (b) 9  (c) -2\/11  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -190 - 0.01\nAnswer: -190.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of 43*z**7\/42 + 41*z**4\/12 - 24*z. Find the third derivative of n(v) wrt v.\nAnswer: 2580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, f: 2, k: 8}. Give prob of sequence kkkk.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 6:55 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -95.518 minus -0.0354?\nAnswer: -95.4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 - 244*v**2 - 2636*v + 24384.\nAnswer: (v - 254)*(v - 6)*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 5*f + 4. Suppose z + 5*c + 40 = 4*z, 5 = 5*z + 4*c. Let v(a) = 27 + 17 + 20*a - 29 - z*a**2. Let g(p) = -18*t(p) + 4*v(p). Factor g(h).\nAnswer: -2*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*u - 73 = 36 + 296 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-144)\/(-243))\/(1253\/(-1611))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o + 16*o + 64 = 2*x, 0 = o - 5*x + 52. Let h be 0 - (-35)\/3 - 9\/o. Solve -3*p = 4*u - 3, -3*u = 3*p - 4*p - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2176437*s**2 + 1588486 wrt s?\nAnswer: -4352874*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 900 divide 25813640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4\/37 - 86\/111. Let r = -2.39 + -0.01. Let c = r + 2. What is the second smallest value in -3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1878940 divided by 268420\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.233 + 0.057. Let a = l - 0.43. Suppose f - 4 = -f. Sort f, 4, a in decreasing order.\nAnswer: 4, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**37*n)\/n*n*n**(-28\/3))\/((n**2*n)\/n**(-2\/9)))**41 assuming n is positive.\nAnswer: n**(9389\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -331 minus -257?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -28331 - -4?\nAnswer: -28327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*q - 125*q = -6, 0 = 3*y + 2*q - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2366 and 2?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 255 - (4 + -2)*((-200)\/16 - -10). Calculate the greatest common factor of 6370 and u.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21.4 + -2.6. Let f = 28 + h. Put f, 5, -0.1 in descending order.\nAnswer: 5, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 7*j**2 + 833. Let n(i) = 38*i**2. Determine h(n(d)).\nAnswer: 10108*d**4 + 833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3106 divided by 26.\nAnswer: -1553\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291144739?\nAnswer: 1873, 155443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*v - 150206052255834 + 150206052255834.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5260)\/8)\/(-5)*2 - -3. Let t = 419 - a. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 9*l - 12. Let n(y) = 901*y**2 - 2. What is n(m(i))?\nAnswer: 72981*i**2 - 194616*i + 129742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 6*s**2 - 27*s + 26. Let w be p(1). Solve 7 = -v + k - 3*k, 17 = -w*v - k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 32\/5 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6833\/7 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005154072 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 102360933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*c - 32*c + 43*c - 6*c - 31*c.\nAnswer: -115*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 5:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373284323?\nAnswer: 373284323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -4*v**4 + 16*v**3 + 52*v**2 - 16*v - 48 = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -6 - -6 - (12 - 11 - (-65 - -16))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**2 + 18*l - 20. Calculate the remainder when 6 is divided by r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8692 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)*-2 + sqrt(153))*-6)\/(sqrt(900) - sqrt(900)*-1).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*s*w**3*z**2 + 466*s*w*z**2 + 2*s*w + s*z + 9*w**5*z**2 - 2*z**2 wrt w.\nAnswer: -24*s*w*z**2 + 180*w**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-4))\/(24\/96)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/8 - 65\/(-20). Solve 2*y = i*q + 2, -6*y + 5*y = -q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1040)\/(-1404)*((-24)\/(-5))\/4*18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from hrgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x. Let n(g) = -21*g. Determine -15*j(s) + n(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 810838727 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/1377437 and -54\/11.\nAnswer: 15151807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 + 282398742*h + 6645754123598547.\nAnswer: 3*(h + 47066457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 532016.\nAnswer: 2, 41, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-23 - (-12 - (4 + 3)) - -87)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 10.7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67740*r**5 - 2*r**4 + 136151*r wrt r?\nAnswer: -1354800*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/((-9)\/26)*(-6)\/(-4). Suppose 0 = -3*v - 5 - j. What are the prime factors of (-9)\/v*88\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 33*v + 405 = -36*v, 2*x - 282 = -v. Let d(h) = -38*h - 3. What is the remainder when x is divided by d(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g + 5*l - 24, g - 3 = -2*g - 4*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 10*m + 7. Let c(u) = 10 - 7*u - 4 - 9 - 2. Give -5*a(f) - 7*c(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((13 - 6 + 4)*(-86 + 70 - 42) - 1 + 3 + 0 - 1 + 2 - 2 + (0 + 1 + 1)*(-3 + 2 + 2) - 4 + 2 + 0 + 2 - 6 + 3 - 2 - 2 + 5)*(-4*m - m + 7*m).\nAnswer: -1274*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 10.9. What is the nearest to g in 4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.825903 millennia in months?\nAnswer: 57910.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 72*u + 77*u = 18, 2*a - 3*u + 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grgggggrggggg. Give prob of picking 2 g.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8, 4, 16?\n\"Answer: 12*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 6*j - 3. Let l be 9\/3 + 3 + 2. Suppose -3*u = w - l*u - 21, -3*w + 3*u + 3 = 0. Does 2 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -122012221200?\nAnswer: 122012221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -23715*u. Let f(g) = 2187*g**2. Determine j(f(n)).\nAnswer: -51864705*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 174588119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 13*v. Let y(z) = -13*z + 2*z**2 + 4*z - z**2. Let i(b) = -5*x(b) - 7*y(b). Factor i(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*t**2 + 5*t**2 - 2*t**2 + (-12*t - 9 + 9)*(-2 + 2*t + 2) + 2*t**2 + 3*t**2 - 4*t**2 + (-2*t - 2*t + 2*t)*(2 - 2 - 2*t) + 6*t**2 - t**2 - 3*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 323 divide 8796905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 79*r**2 - 5823*r - 20008. What is s(77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4500)\/384)\/25)\/(-8*3\/64).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 7. Suppose 0*o - r*o = -15. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 8. Let m be j(-5). Suppose 0*t = -m*t + 9. Let f be 3\/6 + (-34)\/(-4). What is the highest common factor of t and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - 43138\/8 - 26\/(-104). Let i = v - -7907. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41208 divided by 101?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/72 and -123\/400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 3:53 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-4)\/c))**(2\/51)*(c*c*c**(-5\/9))\/c**(-2\/7) assuming c is positive.\nAnswer: c**(2105\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0*c + 0*c**2 + 2\/11*c**4 + 4\/11*c**3 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 833\/5 + -166. Factor 0*k + 3\/5*k**3 + 1\/5*k**5 - 1\/5*k**2 + 0 - o*k**4.\nAnswer: k**2*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.247\nAnswer: -0.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16414.\nAnswer: 2, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 - 22891?\nAnswer: -22880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 11*z. Let b(s) be the second derivative of 0*s**2 - 5*s + 0 + 0*s**3 - 1\/12*s**4. Give b(g(i)).\nAnswer: -121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-7) + (570\/(-84) - -5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-175)\/(-45) - 81966\/(-1026)) + -16\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 1547, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6088381 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.0618, 1\/9, 4\/3 in descending order.\nAnswer: 4\/3, 1\/9, 0, -0.0618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 1:12 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 483691400 and 386953120?\nAnswer: 1934765600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1525225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -90\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 7*i**2 + 7*i - 3. Let g be v(6). Calculate the common denominator of (-155)\/195 + (-2)\/g and 24\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 1) + (6\/(-9) + 2)*117315\/2370.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 4. Let h = 14.2 - f. Let l(t) = t - 1. Let j be l(3). Which is the closest to j?  (a) -0.5  (b) -3\/2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 8*v**3 + 2*v**2 - 2*v + 1. Let g be f(1). Suppose 0 = 3*h + 2*h - l + 14, -2*h - g = 3*l. Let j be (0\/(h + 2))\/1. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1805 = -216*i - 2515 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8362 + 0?\nAnswer: -8362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1450031 (base 8) to base 2\nAnswer: -1100101000000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v**4 - 7*v**3 - 7*v**2 - 7*v + 5. Let p(m) = -2*m**4 + 3*m**3 + 3*m**2 + 3*m - 3. Let n(g) = 7*p(g) + 3*z(g). Differentiate n(d) with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y - 4. Let c = -109 + 117. Suppose -c*z - 63 = z. What is t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o. Let t(n) = -8*n. Let h(l) = l. Let q(c) = 4*h(c) - t(c). Calculate q(g(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121143 - -2015?\nAnswer: 123202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1458*c**3 - 1308*c**3 - 1249*c**3 - 164 + c**2.\nAnswer: -4015*c**3 + c**2 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -35670, -71346, -107022, -142698, -178374, -214050?\n\"Answer: -35676*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -1, -0.94, 0.43 in decreasing order.\nAnswer: 0.43, -0.94, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 - z**2 + z - 6. Let i be n(-3). Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1757186 is divided by 1359.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 8) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35235\/11396 - -1\/1036. Let f be (-8 - -7)\/((-2)\/(-4)). Is f > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/1130, -7, -490.\nAnswer: -490, -7, -9\/1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-63))\/(-11 - 16\/(-2))*9?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 + 114*y**2 + 3*y - 114.\nAnswer: -3*(y - 38)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*x + 15. Suppose -x*w = 2*w - 95775. Let n = w + -59155. What is n rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4\/3)*z**(-2\/21))**(9\/10)\/((z**5\/(z*z**(3\/4)\/z))\/(z\/((((z\/z**0)\/z)\/z)\/z)*z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-239\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 376*x + 1625.\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.37020294 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n**3 - 80*n**2 + 49*n + 368. What is h(-39)?\nAnswer: -4585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {j: 2, s: 1, b: 2, z: 2, a: 1, r: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uucbuiuucaibcaaabcaw. Give prob of sequence uub.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 6 - 12)*(-5*m + m + 2*m + 3*m + m - 3*m + (m - 2*m + 2*m)*(2 + 3 - 7) - 5*m + 4*m + 0*m + 33*m + 36*m - 8*m) to d + s*m and give s.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66.0000288 + 66. What is d rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lljrrlljkfkrkljrrrfl. What is prob of sequence lkf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lxg when three letters picked without replacement from gglglxggllgglgggl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*w**3 + 97*w**3 + 1 + 4*w**4 - 62*w**3 + 25*w to j*w**4 + q + x*w + z*w**3 + k*w**2 and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2790 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l + 5*l - 10. Suppose l*g + 4*u + 20 = 0, -5*g - 2*u - u = 15. Suppose g*z + 2*z - 20 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39059 less than 1979430542?\nAnswer: 1979391483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -579946, -1159753, -1739560, -2319367?\n\"Answer: -579807*n - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 13*c + 6. Suppose 0 = -2*a + 2*s + 80, a + 2*a + 4*s - 155 = 0. Suppose r + 3*r - a = -5*y, 0 = 4*r + 3*y - 35. What are the prime factors of j(r)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 56474*u. Let t(z) = -2*z. Determine t(i(n)).\nAnswer: -112948*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 92. Let t be a(0). Let j = 4730145\/286 + -213810\/13. Let s = j - t. Calculate the common denominator of s and 119\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -z**4\/12 - z**3\/6 + z**2 - 5*z + 5. Let g(f) be the first derivative of y(f). Factor g(n).\nAnswer: -(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*c = -62*c + 100. What is the greatest common factor of c and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 + 13*i + 12. Let s be u(-12). Suppose 5*n + 1 - 6 = 0, s = 5*r + 5*n - 135. Is (-18)\/117 + 44022\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 45 - 56. Let j = 14 + k. What is the second biggest value in j, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from mcmmmcmmmcmcmcmcmmm?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 37*t**2 + 24*t - 156. What are the prime factors of m(-15)?\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b + 5. Let c be p(-7). Let h be 1*-2*5\/c. Suppose 4*g - 3*u = h*g + 1, -3*u = 3. Solve -g*d - 25 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141097 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32849 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -29380862 and 0.5.\nAnswer: -29380861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 8255*s**4 + 6*s**2 + 11*s + 11112. Let p(a) = 1651*a**4 + a**2 + 2*a + 2223. Let g(i) = 22*p(i) - 4*y(i). Differentiate g(d) wrt d.\nAnswer: 13208*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aakaakaaiaaaaiaiaa. Give prob of sequence kki.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -243.9  (b) 46  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123 divided by -3926.\nAnswer: 123\/3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -34, -51, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/9 + 184*v**2\/9 - 1355*v\/9 - 382.\nAnswer: (v - 9)*(v + 2)*(v + 191)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 6 - 2*x + 6 + (2*x - 2*x + 9*x)*(-5 + 5 - 1) as o + z*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/152 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.7739 + -2.2261. Which is the fourth smallest value?  (a) -2\/5  (b) 1\/306  (c) k  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*d = -5*c - 18, -c = 3*d + 7. Let j = -23888\/595 + 564\/17. Let m = j - -46\/7. What is the biggest value in c, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*x = -70, x - 9152 = -2*j - 9181 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 8*j - 14. Suppose -3*t + 3*h = -4 - 11, -4*h = -t - 1. Is w(t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 2*x = 3*x + 20, 4*x = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 1))*4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -746b16 - -4?\nAnswer: -746b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + d + 6. Let p be a(0). What is the third derivative of -p*w**6 - w**6 - 2*w**2 - 7*w**2 wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4776*j - 394960 = -118*j + 35712 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 x, and 1 w when four letters picked without replacement from wzyzzwzyxcczxxz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2 + 1 + 3 - 4*f. Let w = -26 - -25. Let o be 4 + w*(10 + -4). What is h(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 6*y + 18. Let o(f) = -4*f. Let l be o(-2). Let x be u(l). Let w = -2 + -2. Put w, x, 3 in descending order.\nAnswer: 3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/((((s*s\/(s\/(s**(-4\/9)*s)*s)*s)\/s)\/s)\/s)))\/s**(-11))\/((s\/(s\/(s**(-2\/15)\/s)))\/(s\/(s**(-10)\/s)*s*s)) assuming s is positive.\nAnswer: s**(1111\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (219 + 208 - 4*c - 398)*(-c**2 + 5*c**2 - c**2).\nAnswer: -12*c**3 + 87*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -10. Let s(t) = -t**3 + 5*t**2 - 3*t - 2. Give s(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 104367, 208737, 313109, 417483, 521859, 626237, 730617?\n\"Answer: j**2 + 104367*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -18. Let y(x) = -x**2 + 11*x - 8. Let w be y(p). Solve 5*f + 3 = -w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.4 + 44.46.\nAnswer: 41.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2153, 52, -0.3 in descending order.\nAnswer: 52, -0.3, -2153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 501 divide 369731830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2*m = -16. Let n = 2 + m. Let v = 8 + n. Solve -v = b + g - 1, -g = -b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45923 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 7:31 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by -57.\nAnswer: 43\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4527869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*b - 82*b + 104076. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(114)*-2)\/sqrt(6) + (-3*-3*sqrt(19) - sqrt(19)))**2.\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/19784885 and -43\/1739?\nAnswer: 732040745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 13089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j = -j - 15*j. Let d(f) be the third derivative of j*f**3 + 0*f + 1\/16*f**4 + 0 + 1\/120*f**5 + 7*f**2. Factor d(g).\nAnswer: g*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c - 4. Let k be f(7). Suppose -2*l + 4*l - 1162 = k*d, 2*l - 1178 = -5*d. Suppose 0 = 7*i - 2831 + l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = o - 108, -6*h - 332 = -4*o - 2*h. What is the highest common factor of o and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-96)\/40)\/((-4)\/50). Let b = 4 + z. Let h = 53 - b. Calculate the remainder when 74 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1)*8*(-1)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*v + 14*v = -63. Suppose -x + v = 4*o, 4*x - 2*x = 4*o + 6. Solve 4*h + 6 = -o*i - 3*i, -h - 5 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**7\/2520 + l**6\/540 - l**5\/360 + 3*l**3 - 12*l. Let j(p) be the second derivative of b(p). Factor j(h).\nAnswer: -h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**5\/120 + 35*y**3\/2 + 67*y**2 - 2*y. Let s(j) be the first derivative of p(j). Let c(l) = 151*l**2. What is c(s(k))?\nAnswer: 151*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -3. Let v be 1\/u + 28348\/57. Suppose 0 = 10*o - 3*o - v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 PM and 6:26 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 - -9)*20\/6. Suppose k = -3*u + 25, s = -u - 2*k + 25. Calculate the smallest common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.92 and -0.485769.\nAnswer: 5.30459748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 113620*y + 59963 wrt y?\nAnswer: 113620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.185913 litres?\nAnswer: 9185.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82 - 19. Let y be -5 + 12 + -1641 - -3. Let m = -1598 - y. Calculate the remainder when t is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 42043 + 24?\nAnswer: 42067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14168*m**2 + 25253*m**2 + 47214*m**2.\nAnswer: 86635*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30622 * -2.\nAnswer: 61244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 7 - 2, -226 = -v + 3*f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.5863 + 4.8863. Let y(z) = -z + 5. Let o be y(5). Let i be 1\/(-3) - (-14)\/78. What is the closest to -2 in m, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/1*((-1008)\/12)\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -506 divided by -11.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 68*f**2*h**2 + f*h**2 - 71*f*h + 80*h**2 + 2*h + 1166 wrt f?\nAnswer: 136*f*h**2 + h**2 - 71*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 5*x + x + (-x - 3*x + 2*x)*(3 + 3 - 4) - x - 3 + 3 - 1 - x + 1 + 2*x + 1 - 1)*(1 + 0 + 0) + 0*x + 0*x - x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**4 - 6*d + 27 - 62 + 37 + 2*d**3 to v*d**3 + p*d**4 + g*d**2 + a + m*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of m**6\/120 - m**5\/60 - m**4\/24 - 4*m**2. Let t(j) = -5*j**3 + 2*j**2 + 8*j - 1. Let c(k) = 4*o(k) + t(k). What is c(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of 0*a**5 + 0*a**6 + 1\/14*a**7 - 1\/12*a**4 + a + 0 + 0*a**2 + 0*a**3. Find the third derivative of d(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 42*i**3 - 1741*i**2 - 5426*i + 1.\nAnswer: 252*i - 3482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -62.946 + 63. Let r = 0.053732 - w. What is r rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -24944 + 24944 + 10*w. Let r(n) = -19*n**2. Give r(v(s)).\nAnswer: -1900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 355*r**2. Let n(y) = 35*y**2. Determine t(n(b)).\nAnswer: 434875*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 257.8056 millilitres?\nAnswer: 0.2578056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -3. Suppose z*y - 2*y = -50. Suppose y = f + 4*f. Sort -5, -6, f.\nAnswer: -6, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**3 + 3*s**2 - 3*s**2 + (2*s - 2*s - 2*s**2)*(-s + 2*s + s) + (4 + 2 + 0)*(2*s**2 - 2*s**3 - 2*s**2).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (11 - 132\/12) + 2. Let l(n) = 3*n**3 - 2*n**2 - 2*n - 1. Let c(h) = -12*h**3 + 9*h**2 + 9*h + 3. Give a*c(x) + 9*l(x).\nAnswer: 3*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 239964186, 239964184, 239964182, 239964180?\n\"Answer: -2*i + 239964188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 take away 0.00567?\nAnswer: -23.00567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 114228317*l**3 + 52574789*l**2?\nAnswer: 685369902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -10.9. Which is the fourth biggest value?  (a) -0.5  (b) 2\/5  (c) y  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - c = -2621, 2622 = 5*n - c + 3*c. Is (n\/(-8))\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((-6)\/19)\/(18\/(-171))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2292.6 - 1592.9. Round b to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) -0.1  (c) 3.21  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 173207005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 6 = 4*s + 10, -v - 3*s - 4 = 0. Suppose -19 = -3*k - 2*c + v, -5*c = -3*k + 21. Solve 0 = -3*f + k*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 9*w + 1. Let o be q(8). Let x be 4\/6*(13 + o). Which is bigger: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 207*h - 393. What is the tens digit of s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 35. Let s = -18.1 - y. What is the third biggest value in -3, s, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 507 + -504. Find the third derivative of 5*m**5 - t*m**5 + 6*m**2 - 709*m**4 + 23*m**2 + 684*m**4 wrt m.\nAnswer: 120*m**2 - 600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 (base 10) to base 8\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -5*s**4\/4 - 25*s**3\/3 + 90*s**2 + 900*s + 1289. Let i(d) = 0. Calculate d.\nAnswer: -6, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 4, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6010238341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h - 10 = 16*h + 5*p, -h = 5*p + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 5*(-5 + -6*(0 + sqrt(208))**2 + (sqrt(208)*2*-2)**2 + sqrt(208) + -1).\nAnswer: 20*sqrt(13) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000110010001 (base 2) to base 8.\nAnswer: -10621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 475 = 3*r + 490 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 0*z - 2*z + 4*z + 26.\nAnswer: 2*z + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -89*x + 22*x + 7*x + 21*x to the form t*x + s and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 0.031, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (1260\/7350)\/((-3)\/(-5))*119\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + 5. Let s(c) = -46*c**2 + 11*c + 11. Let w(l) = 9*l**2 - 2*l - 2. Determine k*w(h) + 2*s(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of -7*b**5\/30 + b**4\/24 - 5*b**2. Give i(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 52. Let r = h - -32. Suppose -6*p + 78 = -r*p. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -g**3\/3 - 7*g**2\/2 - 9*g + 26. Let k be z(-5). Let a = 17 - 190\/11. Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + k**2 - 36*k + 21. Determine x(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30030 divided by -286.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -14*m - 120. Let o be 32\/3 - 5\/(-15). Let q(i) = 3*i + 24. Let s(y) = o*q(y) + 2*b(y). What is the tens digit of s(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/1908 and -103\/180.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2, 2*d - r = 4*r + 16. Suppose -12 = -d*l + 42. What is the remainder when 4\/l - 500\/(-18) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s + 22. Calculate c(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**6 - 3*i**6 + 6*i**2 - 5*i**6 wrt i?\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/11)*o*o**(-1\/3)*o*o*o*o)\/((o*o\/(o*o*o*o**(1\/4)*o*o*o))\/(o\/(o\/((o*o**(-5))\/o*o)))) assuming o is positive.\nAnswer: o**(697\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*k + 60*k + 34*k)*(4*k - 4*k - k**2).\nAnswer: -138*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2 - 4 = 0. Suppose -3*h + p = f*p - 74, -5*h = 4*p - 128. List 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 units digit of 522928888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 332 - 129. Suppose 5*u = 2*z - j, 4*u - 4*z = -89 - 71. Round u to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4843 - 4904. Let q = 90 + 90. Let w = a + q. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.11 + -16.99. Let g = 37 + -20. Let o = g + l. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21\/82 - -10\/41. Let c(m) = -2*m**2 - m + 1. Let l be c(-7). Let r be (2\/(-5))\/((-9)\/l). What is the closest to b in r, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17*294\nAnswer: 4998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 + -292. List the prime factors of 8951\/9 - 100\/n.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 920155, 920135, 920081, 919975, 919799?\nAnswer: 919535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/69426 and 31\/35511.\nAnswer: 6178914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5 - (-69)\/15) + (-3519)\/15. Let a = c + 242. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 48*o**2 + 8*o**2 - 217*o - 11*o**2 + 218*o. Calculate the smallest common multiple of 36 and i(-1).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -580 - 3*n**2 + 5*n**2 - 573 - 9*n + 1120. Determine c(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21*(-40)\/(-48)*372\/(-465).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.00684 and 89.\nAnswer: 89.00684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-5) - (0 - 192\/40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {z: 6, c: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*k**3 + k**4 - 3*k - 35*k**3 + 12*k**3 - 3*k**2 to the form u*k**2 + a*k**4 + q*k + i*k**3 + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/20)\/((-2)\/52). Suppose 7 = 4*r - v. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 363, 724, 1085, 1446, 1807, 2168?\n\"Answer: 361*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.63 - -2.83. What is the nearest to j in 3, 0.3, -5, -0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.7 * 158869.\nAnswer: 2017636.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 3*l - 1. Suppose -g + 4 = g. Suppose n + 0*n - 5 = y, n = -g*y + 2. Suppose 6 - 35 = -n*h - 3*p, 0 = -3*h + 5*p. Give j(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/2)\/2 - 5 - 60\/6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1997 minus -5?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 108197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1443\/(-117))\/37*((-3)\/(-9))\/(-1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, w: 4, r: 3, o: 2}. Give prob of picking 1 w and 3 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**3 + 10*o**2 + 3*o. Give b(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 0*t**4 - 2\/3*t**3 + 1\/2*t**6 + 0*t**5 - 5 + 0*t + 0*t**2. Find the third derivative of d(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -198400 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {g: 9, n: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, x: 7, v: 3, l: 2}. Give prob of sequence xllz.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 0) + (-48)\/(-2). Suppose -7*g = -2*g + k. Let o = g - -9. Solve v + o = -3*x, -2*v - 3*v - 5*x - 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*1*(-45)\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t - 3 - 3*t**2 + 3 - t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3\/25762 - 1404119\/772860. What is the common denominator of n and -149\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.04  (b) 0.1  (c) -3  (d) 0.09  (e) 1\/4  (f) -13.8  (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 i, and 1 s when four letters picked without replacement from synisaqsinanqian?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**2 + 34*i + 36. Let u be (-9)\/6*(-11 + -1). Let o be r(u). Let d be (-7)\/(-2)*(-12)\/(-7). Solve -d*l + 9*l = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 66*d - 335. Is t(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195456 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 291?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 101.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 36. Suppose -2*m + 3*m = -1. Let p(n) = -n + 10. Let y be p(8). What is the third biggest value in y, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q - 30. Let n(m) be the third derivative of -m**4\/3 + 36*m**2 - 6. Give n(y(i)).\nAnswer: 16*i + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**4 - q**3 - 1. Let s(r) = 39*r**4 - 5*r**3 - 38*r**2 - 3. Let v(j) = s(j) - 4*y(j). What is the third derivative of v(b) wrt b?\nAnswer: 840*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59569564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -10. Let r(p) = 5*p + 16. Let z be r(u). Let q be ((-28)\/(-9))\/(4\/(-6)). Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + 2*sqrt(405)*4)*-2 + -4 + -5)**2.\nAnswer: 10368*sqrt(5) + 1658961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 384*r + 113 + 114 + 118 - 345 in the form f*r + c and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -15. Suppose 3*o - n = -g, 3*g = 4*o + 15 + 29. Let i = -27\/2 + g. What is the smallest value in 2\/11, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -15*q + 0 - 2\/5*q**6 + 0*q**5 + 0*q**4 + 13\/2*q**2 + 0*q**3. Differentiate z(i) with respect to i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16*2 - (11 + -7). Let m be -1 - t\/80*-2. Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*4*(-3*1*(1 + sqrt(245) + 1 + sqrt(245) + (sqrt(245) + 0 + -5 - sqrt(245))))**2.\nAnswer: -12096*sqrt(5) + 142416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*d, 4*l - l - 5283 = -21*d. Calculate the remainder when l is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m**3 - 8*m + 13. Let u(b) = -4*b**3 - 7*b + 14. Calculate -6*g(r) + 5*u(r).\nAnswer: -2*r**3 + 13*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90.49465 nanograms to kilograms.\nAnswer: 0.00000000009049465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7*w. Let v(x) be the third derivative of 7*x**5\/60 + 13*x**2. Give q(v(j)).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3854 + -0.62.\nAnswer: -3854.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 32  (c) -0.3  (d) -2  (e) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-40)\/16 + 2)*23\/(-21 - 25). Suppose -z*l**2 - 5\/4 + 3\/2*l = 0. Calculate l.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -85025.9?\nAnswer: 85020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**17)**(-7)*(h\/h**(-11))**(-2\/23))**(21\/8) assuming h is positive.\nAnswer: h**(-57981\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 9 = -4*s, -4*s + 5*s + 1 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from -0.149752133241.\nAnswer: 1.850247866759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -90017 and 0.4?\nAnswer: -36006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 26591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 14. Suppose -h = -4*t, -5*t + u*h = -2*h - 3. Let p be t\/(4*2\/40). What is the third biggest value in p, -2\/11, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 3*k**2 - 18*k + 235. What is c(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 1226128*h - 9809013. Calculate d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 627 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/18*-3)\/((3\/9)\/(234\/(-27)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, -2\/11, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3696.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 152\/(-5130)*9*(-1320)\/(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 191 - 76. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q. Let z be p(-3). Let k be (z - 3)\/(3 - 6). Which is the nearest to k?  (a) 2\/25  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -10*p**2 - 4*p - 40. Let l(v) = 2*v**2 + v + 8. Give -14*l(h) - 3*r(h).\nAnswer: 2*h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -5*q + 17*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.44 and -1.33757.\nAnswer: -0.89757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23058 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -13  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -5  (c) -0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 190*n + 1. Let r(t) = 60*t. Determine r(b(g)).\nAnswer: 11400*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-31)\/(-7) + (-147)\/343. Let y(l) be the third derivative of 0*l**w + 0*l + 0*l**6 + 0 + 1\/105*l**7 + 0*l**5 + 0*l**3 + 6*l**2. Factor y(g).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/13*(-3016)\/928)\/(4\/26)?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 64\/(-416)*65\/(70\/(-14)). Solve 2\/9*t**5 - 2*t**3 - o*t**2 + 0*t + 0 + 2\/9*t**4 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**3 + 56*u**2 + 45372*u + 1663488 = 0. Calculate u.\nAnswer: -57, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -8  (c) 1.37827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 14*o - 3)*(-o**3 - 2*o - 13*o**2 - 15*o**2 - 16*o**2).\nAnswer: -14*o**4 - 616*o**3 - 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/(-6) - (-5 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + t + 2*t)*(-2*t**2 - t + t) + 0*t**3 + 3*t**3 - 2*t**3 + 2*t**3 - 2*t**3 - 2*t**3 + (-2*t - 2*t**2 + 2*t)*(2*t + 1 - 1).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 7*k - 3. Let o be m(6). Suppose 4*b - 5 = o. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 6*l + 2*i + 4, 0 = 4*l + 3*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 740, 3117, 7328, 13577, 22068, 33005, 46592, 63033?\n\"Answer: 34*j**3 + 713*j**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, -1, -20, -16, -4, -3, 1 in increasing order.\nAnswer: -38, -20, -16, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/145, 6.8, -2\/3 in decreasing order.\nAnswer: 6.8, 1\/145, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 38899 + 3?\nAnswer: 388a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73113\/222700 - -6\/3275. Find the common denominator of k and -179\/360.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4930 and 988720.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33153.\nAnswer: 3, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276318641?\nAnswer: 29, 449, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 21*g**3 + 52*g**2 - 27*g + 64. Let k(r) = 5*r**3 + 6*r**2 - 1. Let j(t) = 4*k(t) - m(t). Calculate j(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -1\/2  (c) 4\/5  (d) 4\/7  (e) 1069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6487 = 9*o - 9056. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-98)\/(-35) + (-12)\/15. Suppose -b*h + 5484 = 4*y, y - 7*h = -3*h + 1362. Let n = -411 + y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15169 is divided by 12053?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 9:09 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-1*sqrt(76) - sqrt(76) - (sqrt(76) + 1*sqrt(76)*-4 + sqrt(76)))\/((sqrt(12) + sqrt(12) + sqrt(48) + sqrt(12))\/sqrt(3) + -1*sqrt(484) + sqrt(484)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 879\/28 + -246\/7. Put -5, -3, h in ascending order.\nAnswer: -5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 41*x - 10. Let v(k) = -11*k + 1. Let g(t) = l(t) + 4*v(t). What is g(7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(-70)*6\/2)\/(132\/(-10)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**5 + 1704*p**4 + 3402*p**3 + 1700*p**2.\nAnswer: 2*p**2*(p + 1)**2*(p + 850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2121 is divided by 101.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-171)\/21*1883\/(-1614) - (7 + -3).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 8*z - 6. Let x(n) = 7*n - 5. What is -4*f(p) + 5*x(p)?\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 554455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 10 = b, -6*b - 3*s = -13*b + 97 - 120 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Sort 764, -0.17, -1 in increasing order.\nAnswer: -1, -0.17, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 2*p + 10)*(31*p - 15*p - 28*p).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*a + 8*a - 16*a + 157*a**2 - 3 + 6 - 155*a**2 to k*a + o + x*a**2 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence evs when three letters picked without replacement from seseveesvvevevvee.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(3 + (-106)\/36) + 3. Let u be a*(-2)\/4 - 3\/6. Let z = 10 - u. Solve 0 = z*x - x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0371 and -1.28.\nAnswer: 0.047488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i*i**3)*i)**30 assuming i is positive.\nAnswer: i**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 0, 5, -4 in ascending order.\nAnswer: -4, 0, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -18. Let z be 2\/(-24) + (-2)\/l. Let s = 4 - 2. What is the closest to z in -0.3, s, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19104512 * 3.\nAnswer: 57313536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**2\/5 + 16*v\/5 + 8 = 0 for v.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12180?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -113 + 28. Suppose -o = -3*b - 2*b + k, -4*o + b = -8. Solve -3*c + o*g - 15 = -0*c, 0 = -5*c + g - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29788.9 - -43418571.\nAnswer: 43388782.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4018, -4009, -3998, -3985?\nAnswer: -3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10232*c**2 - 1519 with respect to c.\nAnswer: 20464*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, z: 2}. What is prob of sequence aa?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5  (b) -36\/7  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o + 0*o - 48*o + 12*o + 4*o. Let j(b) = -100*b + 28. Let z(n) = 11*n - 3. Let r(k) = 3*j(k) + 28*z(k). Give r(c(v)).\nAnswer: -232*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40749 divided by -6.\nAnswer: 13583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14507 and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0829231002 rounded to 4 decimal places?\nAnswer: 0.0829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -30.1. Let d = r - 0.4. Let h = d - -1. What is the third biggest value in 0.2, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -4*t - 87. Let r be (-1)\/5 - t\/5. Solve -5*s = -2*s - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, e: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 3*i**4 + 39 + 0*i**4 + 2*i**2 - 79 in the form q + s*i**2 + c*i**3 + h*i**4 + p*i and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69184.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*o - 223*o + 108*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9817 - 9817 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k - 3*x - 16 = 0, -3*k - 2 = 2*x. Suppose -k*z + 74 = -0*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 15. Suppose -5*i - 7 = -3*v - 119, -3*i + 4*v + 76 = 0. Suppose 2*z + i = p*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30704179, -61408359, -92112537, -122816713, -153520887, -184225059, -214929229?\nAnswer: -245633397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43707 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8 - -11 - (4155\/(-1))\/(-3). What are the prime factors of 4\/18 - (p\/18 - 2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 2804956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-22) + (12036\/(-44))\/(-3). Suppose 21*v - 14*v - i = 0. Solve v*s = 10*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -88 - 2. Is -92 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -ed (base 15) in base 11?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2584525626744 and 10.1?\nAnswer: 9.8415474373256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63396 is divided by 1703?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 1\/3*w**3 + 3\/2*w**2 - 6 + 3*w. List the prime factors of z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7249.96 + -7068. What is t rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -n**5\/12 + n**4\/4 - 4*n**3\/3 - 141*n**2. Let o(b) = -3*b**2 - 1. Let w(k) = m(k) - 2*o(k). Determine w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**3 - 4*d**3 + 6*d**3 + (3 + 2 - 3)*(3*d**3 - 5*d**3 + 3*d**3) - 11*d**3 + 3*d**3 - 72*d**3 to the form f*d**3 + s*d + z*d**2 + k and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -30*s + 134. Let i be j(-2). Suppose -79*o + 80*o + x = 196, -o + i = -x. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-6))\/((-14)\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c - 40*c = -54. Put -7, 4, -3, c in descending order.\nAnswer: 4, c, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*o + 13*o + 9*o + (0 + 0 - 2*o)*(1 - 1 + 2).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2658*q**4*u + 29*q**2*u - 6*q*u - 3*u wrt q.\nAnswer: 63792*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b + 22. Let h be a(-4). Suppose h = -3*c - 5*s, -5*s = -3*c - 0*s + 26. Solve 0 = -l + c*k, 3*l + 28 = -2*l - 4*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 4*a - 28, -1782*y - 108 = -1810*y + 2*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -37 - 14?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 2*m - 4*w, 20*m = 18*m + 5*w + 30 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 72*c**2 + 324*c + 1447. Calculate y(-76).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41.9 - 45. Let s = 5.1 + j. Let n be 0 + -2 + 19\/10. Which is the second smallest value?  (a) n  (b) s  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186336716 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245 = -3*t - 257. Sort -19, 2, t in descending order.\nAnswer: 2, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 94 + -80. Suppose -12 = -4*f + 2*w, f + 4*w = -f - v. Solve 0 = -3*u + f - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.35 - -9.95. Let k = -10 + x. Which is smaller: k or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 468 = -8*f - 5*f. What is the lowest common multiple of 2 and ((-28)\/21)\/(2\/f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128626276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 432, 430, 418, 390, 340?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 19 - (-1)\/(1 + -2). Suppose 4*u - n = 6*u. Let v be ((-3)\/u)\/((-1)\/(-66)). Calculate the greatest common factor of 198 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 988 + -889. Let j = -201\/2 + o. Which is the nearest to -1?  (a) j  (b) -9  (c) 1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p + 85 = 9*p. Let n = p - -37. Calculate the lowest common multiple of 168 and n.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-390)\/(-105) - (5 - 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5268 + 5273. Solve -2*z + u*z + 15 = h, -10 = 2*h + 2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z**(-7)\/z)*z**0*z)\/(z**(-2\/11)*z*z**4)*z*z*z*z**3*z**(-3\/7)*z**(-3)*z**(-3\/4) assuming z is positive.\nAnswer: z**(1541\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 14*o**2 + 14*o - 17. What is d(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -209, -123, 37, 283, 627, 1081, 1657, 2367?\n\"Answer: 2*f**3 + 25*f**2 - 3*f - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 646358 * 69.\nAnswer: 44598702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/7 and 3 + -3 + 56\/(-9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*h - 2 + 18*h + 1.\nAnswer: -36*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/5449 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/117888 and 47\/39603?\nAnswer: 5069184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -5*v**8\/336 + v**6\/60 - 113*v**5\/60 + 105*v**2. What is the third derivative of u(d) wrt d?\nAnswer: -300*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 5:06 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92115127?\nAnswer: 13, 7085779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 210053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 196319\/47366 - 18\/2153. Calculate the common denominator of -87\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000354453 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -140, 10717, -2.\nAnswer: -140, -7, -2, 10717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-12))\/((-2)\/328). Suppose 18 - 3 = 5*u. Suppose s = u*w - 76. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 910*p = 906*p + 4*k + 60, -p - 135 = 14*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -307, -320, -333, -346?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 26212 and -0.01652.\nAnswer: -433.02224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -47, -177, -435, -863, -1503, -2397, -3587?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (5 - 23)) + (-10 + 20 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 3*w - 3*r = 162, -2*w + 90 = 4*r. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 + 15608*b**2 + 30435594*b - 60933636.\nAnswer: 2*(b - 2)*(b + 3903)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**4 - 5738*j**3 - 204 + 4228*j**3 - 793 - j wrt j.\nAnswer: -36*j**2 - 9060*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (126*h - 6*h**2 - 126*h)*(h**3 + 5*h**3 + 0*h**3).\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**6\/15 - n**5\/20 + 2*n**2 + 92*n. Let k(s) = -23*s**3 + 8*s**2. Determine 3*k(x) + 8*p(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 10*v = -z - 12*v - 84, -2*v = -3*z - 50 - 34 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, z: 2, s: 8}. What is prob of sequence zzn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -399 - 413 + 812 - 39*c**3.\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3*c - 18 = 0, 5*p - 13 + 3 = 5*c. Let m = 3 + p. Let b(h) = -h + 10. What is the units digit of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*r + 5. Suppose w + 9 = 15. Let v(n) = w*n - 5*n - 4*n**2 + 2 - 1. Determine v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8037613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1459*p**2 - 44*p + 44*p + 1896*p**2.\nAnswer: 437*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -78 or -157\/2?\nAnswer: -157\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*f**3 + 151*f**3 - 95*f**3 + 1.\nAnswer: -33*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (105*j - 5*j - 4*j)*((5 + 1 - 5)*(2 + 4 - 4) - 4 + 15 + 0 - 3 + 5 + 0) in the form u*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 4*f = -1480. Suppose 3*v + f = 8*v. Suppose -v - 214 = -4*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.223 and -5685.\nAnswer: 1267.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -628, 5, 2.2 in ascending order.\nAnswer: -628, 0.6, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9390)\/12*((-1)\/(-4) - 1012\/80). Solve d = 4*v + 9723 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.8  (b) 32  (c) 2\/3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlmomwwewwoow. What is prob of sequence wo?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4)*(-52)\/195?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 + -231002333133?\nAnswer: -231002333233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52875, 50896, 47589, 42948, 36967?\nAnswer: 29640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1617878821?\nAnswer: 13, 124452217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1383383, -1383380, -1383377, -1383374, -1383371?\nAnswer: -1383368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 3:36 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4573856kg to nanograms.\nAnswer: 457385600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*h = -14*h - 80 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 699\/(-35) - (-201)\/(-469) - (-4)\/10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 4*a - 5*u + 144, 0 = -5*a - 4*u - 162. Let z(b) = 8*b + 5. Let t be z(6). Let x = a + t. Calculate the remainder when 89 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 767053, 1534122, 2301191, 3068260?\n\"Answer: 767069*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 12 and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - d = -12. Let u be 6\/4*(-2)\/d. Let q(v) = -4*v**2 + 1. Give q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1721*b**3 - 6230*b**2 - 11. Let c(g) = -574*g**3 + 2077*g**2 + 4. Let a(h) = 11*c(h) + 4*p(h). What is the third derivative of a(v) wrt v?\nAnswer: 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1513 + 10635\/7. Are b and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 902790*x + 902796*x - 1805584*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 277*u**3 + 6 - 319*u**3 - 5*u to the form z*u**3 + m + k*u + f*u**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**5*r*r\/(r\/(r*r\/(r*r**(-9)))*r))**44\/((r\/(r*r*r*r**(-2)\/r*r))\/((r*r**(-1\/10))\/r)*(r\/r**1)**(-2\/35)) assuming r is positive.\nAnswer: r**(6599\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {a: 7, d: 4, n: 3, e: 1, r: 2, l: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 2125.\nAnswer: -6\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6078 and 12?\nAnswer: 12156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 129, -167, -2 in decreasing order.\nAnswer: 129, -2, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**2 - 31*i + 22. Let q be l(-11). Let u = q + 1. Is (5817\/6)\/(u\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 109238 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*h - 49 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o + 2. Let b(g) = -6*g - 4. Determine -3*b(i) - 5*h(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**0)\/d)\/(d\/(d*d\/d**(-2\/23)))*(d*d\/(d\/(d**1*d)*d))**(3\/11))\/((d**0)**43\/(d**(-1))**(3\/28)) assuming d is positive.\nAnswer: d**(10805\/7084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 17*a**2 + 10*a - 18. Let v be z(12). Is (-2)\/5 + 2*v\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164*y**2 - 166*y**2 + 274*y**3 - 5993*y**3.\nAnswer: -5719*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -k**7\/1680 - 7*k**6\/180 - 49*k**5\/60 - 56*k**3\/3 + 167. Let g(x) be the third derivative of h(x). Let g(s) = 0. Calculate s.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f = 2*a - 14, -4*a + 18 = -2*f. Solve 0 = -a*q + 9*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -472347 less than or equal to -472410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/10)\/(2\/(-20)*2). Suppose r = 2*h - 20. Calculate the least common multiple of 4 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*y**2 - 3*y**2 + 0*y**2 in the form n*y**2 + j + w*y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 32 + -19. Let o(i) be the third derivative of i**6\/5 + i**3\/6 + 16*i**2. What is the remainder when o(1) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 20. Let t = k - 15.1. Let m = t - 0.900064. 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: What is the square root of 314151178 to the nearest integer?\nAnswer: 17724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -6 + 12 + -58 + (11 - 5 - 10).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 18*i + 1. Let c(z) = 6*z**2 - 216*z - 12. Let y(f) = 12*a(f) + c(f). Let u(l) be the second derivative of 1\/6*l**3 + 0 - 2*l + 0*l**2. Give u(y(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -303 + 366. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 bigger than 439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/18 and 69\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3 - 2*g - 1 - 3*g**2 + 1 + g**2. Let d be x(-3). Let u = -11 - d. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06367 + 19604\nAnswer: 19603.93633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -434551252 + 9*w + 434551252.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f + 39. Let u be g(7). Solve 5*k - 10 = -3*d, k = -0*k + 4*d + u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 2:32 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 3*m**5\/20 - m**4\/2 + 28*m. Factor f(q).\nAnswer: 3*q**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1380794 divided by 5.\nAnswer: 1380794\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 110013210 (base 4) to base 15\nAnswer: 19639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*u + 8*u. Suppose u = 2*p - 3*z - 15575, 3*p - z + 6*z - 23372 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**4\/6 - 13*f**3\/2 - 2*f**2 - 382*f + 8. Let o = 28 + -16. What is the remainder when h(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 1548*a**2 - 7739*a. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-2 - -6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c + 36. Let b(j) = -j - 7. Let y = 16 + -5. Let x(v) = y*b(v) + 2*s(v). Determine x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.150314 + -0.650314. Let x = 4 + -4. Suppose x*i = 4*n - 2*i - 22, 4*i + 32 = 5*n. What is the fourth smallest value in -5, k, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2 = 10. Let c be 3 + -379 - (-1 + h). List the prime factors of c\/(-45)*10\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9319496, -37277986, -83875470, -149111948, -232987420, -335501886, -456655346?\n\"Answer: -9319497*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1286 and 240?\nAnswer: 154320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i*q**3*w**2 + 42*i*q**3*w + i*q**3 - 8*i*q**2*w**2 + 6*i*w + 4*q**3*w - 132*q*w**2 wrt w?\nAnswer: 2*i*q**3 - 16*i*q**2 - 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2*p = 3080 + 5764, -2*d = 2*p - 4422. Calculate the least common multiple of 9 and d.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 744895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -3, 0.1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.093 - -40.093. Let w = -43 + z. Put w, -0.18, -0.1 in descending order.\nAnswer: -0.1, -0.18, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**2 + 684*f + 38988 = 0 for f.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.845 - -0.645. Let r = 0.2 - -0.3. Let d = -2.12 - -2.42. Put d, a, -2, r in decreasing order.\nAnswer: r, d, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/9)\/(1484\/(-7632)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -7*f**3 + f. Let n(m) = m**2 - 11*m + 29. Let y be n(6). What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2848994 <= 2848997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -148a0 - -37?\nAnswer: -14867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1883, -1881, -1887, -1901, -1923, -1953?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**9\/72 + o**5\/15 + 7*o**2. What is the third derivative of r(w) wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62.8*0.36828.\nAnswer: 23.127984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1071369 + 46568 = 20*q - 3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00990738 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 16. Solve -6 = 2*k, a*m - k + 4*k + 19 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/((-715)\/20))\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*(sqrt(320) + 4*(0 + sqrt(320))))**2.\nAnswer: 512000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 138205849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*y + 7320 - 1908 = 25*y - 207*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + f)*(-f**2 + f**2 - 2*f**3) + f**4 + f**4 - 7*f**4 + (6*f**2 - 2*f**2 - 3*f**2)*(f**2 - 1 + 1).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*b - 85*b - 94*b + 254*b + 13*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2331326*h**3 + 4174*h**2 + 7 wrt h.\nAnswer: -13987956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (-38 + 10) - 65 - -38?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 5*t**3 - 5*t**3 + 4*t**4 + (-4*t + 4*t + 2*t**2)*(-t**2 + 3*t**2 + t**2).\nAnswer: 10*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 8*f - 12*f + 4181 = 0, 5*f = 5*s - 6980. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*i + 8*i + 3*i**2 + 50 - i**2 + 3*i.\nAnswer: 2*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 468?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*c - 835 = 245 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 12) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - o**2 + 2*o - 99. What is d(0)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -745 != -743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 360\/1176*-28*(-420)\/(-50).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-6))\/((-17)\/51)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r - 7*r + 98. Calculate the greatest common divisor of 91 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 10 = -4*z, 3*z + 4 = 2*z. Solve 45*a - 17*a**2 + 5*a**3 - a**2 - 12*a**g = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1597017 + 2?\nAnswer: 1597019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**2\/13 + 959838*q\/13 + 91202660\/13 = 0.\nAnswer: -95, 480014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 0.2, -15, -0.02, -12\/35 in increasing order.\nAnswer: -15, -3, -12\/35, -0.02, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n = 3*k - 58*n - 386, 156*n = 2*k + 157*n + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.29487 and -55.\nAnswer: -54.70513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.26 - -0.231. Let p = 0.0290705 + f. Round p to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 35. What is j(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 327 (base 15) to base 8\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-nine sixths of a century?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 270021 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + 49. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42*(-5)\/60*40\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - (15 + -21)) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 17*l - 40. Let j be b(8). What is the greatest common factor of 4080 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = u + 4*u. Suppose 0 = u*h - 7*h. Suppose h = -s + 5*s. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 16, i: 4}. Give prob of sequence ii.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3439 < 705163\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 24 - 6. Let k be (-2)\/y - 1\/3. Suppose -3*f - 32 = -m - k*m, 3*m - 64 = f. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 6*y = 8. Let z be (-2)\/(-8) + (-43)\/172. Put 6, z, y in increasing order.\nAnswer: y, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 63*k**3 + k**2 + k + 1. What is n(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of t**6\/30 + 21*t**4 - 251*t**3\/2 + 376*t. Find the second derivative of h(r) wrt r.\nAnswer: 12*r**2 + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2745050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 89.48052kg?\nAnswer: 0.08948052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 550 and 940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -56.62 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*h, -3*r - 1 + 4 = 2*h. Let j be r + (3\/1 - -1). Suppose k + g = 4, 4*k - 3*g + j = 40. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - q**2 + 2*q. Let m(l) be the first derivative of -l**3\/3 + l**2 + 8. Determine -2*m(p) + 3*z(p).\nAnswer: 3*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/6076 and 113\/18.\nAnswer: 54684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -618*k + 50*k + 94952 = -356*k + 1614*k for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4670569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 + 5*c - 2. Let v(i) = -6*i**2 - 9*i + 3. Let n be (14\/6)\/((-1)\/6). Suppose 12*d + 297 = -15*d. Let r = n - d. What is r*v(z) - 5*g(z)?\nAnswer: 3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 + 6*l**2 + 14*l - 9. What is the units digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -y**4\/4 + y**3\/3 + 2*y**2 + 5*y - 1. Suppose 316*z + 4 = 314*z. Let v be d(z). Is 6 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 159583?\nAnswer: -159584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 7 - 8 = 0. Let h be ((-17)\/5 - (-20)\/50)\/(-1). Let w(m) = 365*m - 3 + m**3 - 2*m**h + 2*m**2 - 363*m. Determine w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 + -0.66. What is the biggest value in q, 3\/7, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 - 8*s - 9. Let q(o) = 7*o + 1. Suppose -5*j - 3 = 2. Let r be q(j). What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (60\/24)\/(5\/9946).\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 2262.\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-120)\/8 + (-1581)\/34)\/(((-91)\/26)\/(-7))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 8 = -g. Let x be 1 + 0 + g\/(-4). Let c(h) = -h**3 - h**2 + h + 7. Let k be c(x). Solve 3*i + i = -p - k, -12 = 3*p + 3*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/2)\/((-2)\/(-22)). Let b = x + 15. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 666a + -c29?\nAnswer: 5741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*3\/(-51) - 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3 = -1. Put 5, 0.1, z in ascending order.\nAnswer: z, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30171 - 30174. What is the smallest value in 2, 0.9, f, -2.2, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 1743?\nAnswer: -1\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 27*k + 69. Let b be s(25). Suppose 61 + b = 12*v. Solve -8*l - 1 = v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r - 1 + 1)*(-2*r - 19*r**2 + 14*r**2 + 5*r) as f*r**3 + o*r + j*r**2 + d and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(-1)\/(-4)*6. What is b in 4*b**4 - 9*b**2 - 3*b + 6*b**2 + 15*b**2 - 13*b + 16*b**v - 16 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 94*d**7\/105 + d**5\/20 + d**4\/12 + 1388*d**3\/3 - 13*d**2 - 78*d. What is the first derivative of c(v) wrt v?\nAnswer: 752*v**3 + 6*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) 1  (b) 0.2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 3*g**2 + 205*g - 23121. Give w(60).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**36*k*k\/(k*k\/k**(-10\/9)))**22 assuming k is positive.\nAnswer: k**(6908\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38*x*z**4 + 415*x*z**3 + 31*x*z**2 - 23344*x*z + 6*x + 126*z**4 - 2*z**2 - z wrt z?\nAnswer: -912*x*z + 2490*x + 3024*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 13*j**2 + 21*j + 267. Calculate t(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/49*-1 - (-37)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692190?\nAnswer: 2, 3, 5, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 19 - 1625*i**2 + 1624*i**2 - 1 - 15*i. What is m(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3259 or -3257?\nAnswer: -3259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 7:28 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 10 + 8)*(5*t - 3*t + 5*t).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -39 - 6?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10033111 - -122?\nAnswer: -10032323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -246 + 252 + -2 + (-3 - -7) + 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -13.55549123528 - -0.066\nAnswer: -13.48949123528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 4038 = 44*l - 13641. What is the smallest common multiple of 54 and l?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from wuuuguuwuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 - 3*i + 2. Let m be 2\/(-2 - -2 - 2). Let p = 6 + m. Does 3 divide g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 7370*t**2 + 700225*t + 692860.\nAnswer: 5*(t + 1)*(t + 101)*(t + 1372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -15. Let d be ((-256)\/6)\/(w\/(-618750)). Round d to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2  (b) -0.046  (c) 1\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 2 - 1\/3*m**3 + 0*m - 1\/1440*m**6 - 1\/96*m**4 + 0*m**2 - 1\/240*m**5. Let h(g) be the third derivative of o(g). Factor h(j).\nAnswer: -(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.08 + 7.92. Let d = 8.03 - l. Round d to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 8 = w - 63, 3*z - 159 = -w. Let f be 4*(-4 + 3) + 4. Let c = 11 - f. Calculate the remainder when z is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 2 = 4*n, 0 = -4*f + 4*n + 6*n - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222352 is divided by 74105?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -13*j**3 - 25*j**2 + 8. Let i(b) = 66*b**3 + 126*b**2 - 39. Let u(r) = -4*i(r) - 21*z(r). What is t in u(t) = 0?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 6*c**2 + 46*c - 576. What is r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -1\/486, 380, -0.2 in descending order.\nAnswer: 380, 0.2, -1\/486, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5301 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**4\/24 + c**2. Suppose 3 = -x + 1. Let f be a(x). Solve 0 = -f*z - 4 - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = n - 20. Suppose 3*v = n*v + 10. Let d(f) = f + 5. Determine d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/6)\/(((-240)\/(-18))\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002718048 rounded to seven decimal places?\nAnswer: -0.0002718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**4\/5 + 140862*o**3\/5 + 1648147167*o**2\/5 - 25174011468*o + 479080406940.\nAnswer: 3*(o - 38)**2*(o + 23515)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -21, -0.17, -40.6?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1142 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.5 - -0.7. Let r = -1.2 + j. Which is the closest to 1?  (a) r  (b) -1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2073, -4188, -6351, -8568, -10845?\nAnswer: -13188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -12. Suppose 5*a - u = -1, -z*u + u = -a - 4. Suppose -l + 0*l + 21 = a. What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -15. Find the third derivative of 0*f**b - 5*f**2 + f**2 + 5*f**5 + 3*f**2 wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864)\/sqrt(3))\/(sqrt(16)*6).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5 - 2*p**3 + 3*p**3 - 8*p**2 + 0*p**3. Let i be t(8). Suppose 38 = i*q - 3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/161*(3 + 28\/56)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -41*u**2 + 28*u**2 + 15*u**2. Let d(w) = 5*w - 18. Calculate i(d(f)).\nAnswer: 50*f**2 - 360*f + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44 + -377507?\nAnswer: -377453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552612 is divided by 30700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 966.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*h - 37*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 - 6*i**2 + 3*i**2)*(-3*i**2 - 2*i**2 + 3*i**2).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from {k: 2, w: 1, q: 6, c: 2, f: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -23, 4\/7, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 266*n + 12325. What is w(-52)?\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-2) + 2\/(-8). Suppose 3*a = -2*l - 239, -a - 466 = 4*l + a. Let w be (-2)\/5 - l\/(-25). What is the third biggest value in w, 2, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 10825.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 135102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 1. Let m be 1 - 1 - 0\/(-2). Sort y, m, -2.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 53 and 1460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12460296 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4 = -4*o, -2*r + 6 - 1 = 5*o. Let i be (-3 - (0 + r)) + 11. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 39, 5 in descending order.\nAnswer: 39, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 291c3 (base 16) to base 2.\nAnswer: 101001000111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -d**6\/6 - 3*d**5\/4 - 5*d**4\/4 - 5*d**3\/6 - 9*d + 11. Let n(l) be the first derivative of o(l). Solve n(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 5*p - 17 = 0, 2*n + 34*p - 35*p = -7. Let q(b) = -6*b**2 - 4*b. Let o(g) = 5*g**2 + 3*g. Suppose 7*w - 6 = 9*w. What is n*o(f) + w*q(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 j when three letters picked without replacement from {i: 5, y: 1, j: 1, n: 5, x: 3}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1119 = 2*m - 1149. Let q(c) = 5*c**2 - 36*c - 11. What are the prime factors of q(m)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = -3*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 845 is divided by 213.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 16 + 3 + 0 + (5 - 2 - 45).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -337, -1231, -2733, -4843, -7561?\n\"Answer: -304*l**2 + 18*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + l = 32, -835*c + 842*c - 37 = -4*l for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*s = 4*y + 13, 2*s + 10 = -4*y. Let r be (9\/(-3) - (68 - -1))\/y. What is the highest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.29 in -13, 1, 3\/7, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10\/1383 - -52153\/8298. What is the common denominator of b and 131\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4485 and 780?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -2*k + 11, 3*y - 4*k - k + 29 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/1)\/(((-3)\/(-15))\/((-81)\/243))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*l + 2 - 23*l + 6*l to d*l + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7798 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 14728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f - 4. Let a be y(-4). Let g(p) be the first derivative of 6*p - 1\/2*p**a + 10\/3*p**3 - 1 - 7*p**2. Suppose g(i) = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 46972*w + 941040.\nAnswer: -4*(w - 20)*(w + 11763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 2 - 6. Let u be (-1)\/(1\/2) + 7. Suppose -j + 4*j = -u*m - 15, j = 4*m - 5. Which is the closest to m?  (a) 4  (b) -1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, m: 1, l: 1, n: 1}. What is prob of sequence aal?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*1*(9 - 3). Suppose 5*x + 12 = 7*x. Let i be (290\/x)\/((-3)\/b). Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/8)\/((-3)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2424 and 306497832.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*x**2 + 1)*(-3*x**2 + 3*x**2 - 2*x**2) - 4*x**4 + 6*x**4 + 0*x**4.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u + 62 - 40*u**2 - 61 + u in the form p + w*u + d*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -5. Let i = f + -10. Let n = i + -7.7. What is the closest to -1 in 0.4, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1476 is divided by 186.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o + 21. Let k be v(0). Suppose 7*a - 14 = k. Factor -77*r**2 + a*r**3 + 151*r**2 - 71*r**2 - r**4 - 13*r - 10.\nAnswer: -(r - 5)*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 6 = 2*y. Let b(h) = -5*h**2 + h**2 + 3*h**y - h**2. Let x(l) = 4*l**2. Give x(b(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 4*p + 13. What is l(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, -81, -584, -1569, -3198, -5633, -9036, -13569?\nAnswer: -19394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 27, 54, 81, 108, 135?\n\"Answer: 27*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 13*k**2 + 11. Let t(r) = 32*r**2 + r + 21. Give -5*b(w) + 2*t(w).\nAnswer: -w**2 + 2*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/11))**(-8)\/((y*y**(1\/13))\/y*(y*y**(-1)*y)\/y) assuming y is positive.\nAnswer: y**(93\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/1848 and -89\/3696?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**3 + 19*i**2 + 26*i - 48. Let r(z) = -10*z**3 + 56*z**2 + 79*z - 146. Let d(f) = -2*r(f) + 7*t(f). Factor d(u).\nAnswer: -(u - 22)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(75) - (-3 + sqrt(75) + 1)))**2 - ((-2*((sqrt(72) - sqrt(18)) + sqrt(18)))\/(sqrt(12)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(4617)*-1 + sqrt(4617) + -2*sqrt(4617)*-6)\/((4*sqrt(432))\/(2*sqrt(81))).\nAnswer: 405*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*u**5 - 16*u**5 + 2*u + 0*u - 7*u wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -176*b**2*w**3 - 2*b**2 - 4*b*r**2 - b + 7*r**2*w**3 + 6734*r**2*w**2 wrt b.\nAnswer: -352*b*w**3 - 4*b - 4*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*f - 8*f - 210 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*r + 13. Let d be 0 + -2 - r - 8. Let z(h) = -h**3 - 7*h**2 - 8*h - 6. Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -866299*v + 4331492. Calculate l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (34\/85)\/(18\/69885)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110011011111101100010 - -10000100?\nAnswer: 110011011111111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*x + 2*x - 6*x**2 + 5*x**2)*(2*x - 8*x + 0*x).\nAnswer: 6*x**3 + 6*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - 0.35. Let a = -0.77 + f. Let n = a - -0.14. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5828823 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6616 - 5220034\/789. Is 0 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -0.3, -6, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(539) + sqrt(539)*-5)**2 + -2 + sqrt(44) + 0)*5.\nAnswer: 10*sqrt(11) + 43090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 9295255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 57*n**2 + 675*n + 22627. What is h(-62)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52382576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 5 - 3 + 9.\nAnswer: b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 7*y**2 + 4*y + 8. Let f be a(6). Let x be 9\/12 + f\/8. Factor -1\/4 - 1\/2*m + 1\/2*m**3 + x*m**2.\nAnswer: (m - 1)*(m + 1)*(2*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43031 take away 59.29?\nAnswer: 42971.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -55214 (base 10) to base 9\nAnswer: -83658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 40*k**2 - 252*k - 11. Calculate w(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of 0*m + 0*m**3 + 1\/10*m**5 + 0*m**4 + 4*m**2 + 0 - 1\/30*m**6. What is the third derivative of h(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -1. Let a = x - 1. Suppose y + a*c = -2*c + 35, -113 = -3*y + 2*c. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -135 - -154. Suppose 9*t = y*t - 80. What is the highest common divisor of 136 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -11*f**2 + 526*f - 3499. Calculate m(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 45417410 and -3?\nAnswer: 45417413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + 2*o**2 + 5*o**2 + 4*o.\nAnswer: 7*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 + 267*l + 875. List the prime factors of p(182).\nAnswer: 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14044)\/(-856684)*(-4)\/10?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3924 divided by 18.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2226*q - 89*q**2 + 2226*q as a + f*q + v*q**2 and give v.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16 - (1 - (2 + -3)). Let h = -2 + t. What are the prime factors of 100\/h - (-1)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10811 is divided by 111?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 - (-13 - (-24 + 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 32189\/(-8910) + ((-72)\/(-33) - 2). Let z = 5\/162 + m. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194832 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 5, k: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.8 and -51756594.17.\nAnswer: -51756589.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2 or -1513?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*g**3 - 63097*g**2 - 609800*g wrt g?\nAnswer: 114*g - 126194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1465245, -2930524, -4395811, -5861106, -7326409, -8791720?\n\"Answer: -4*p**2 - 1465267*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:13 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 5*j - 2. Let g be h(4). Suppose 5*m = 0, 3*n - 10 - g = 3*m. Let d = -7 - -13. Solve -2*y + d = -n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081288 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380171150 a multiple of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (6039\/(-671))\/((-1)\/2*3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 10, 3, 0, -2\/69?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 34, -15, 0, -54, 5 in ascending order.\nAnswer: -54, -15, 0, 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 764 divide 762511728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*v - 632 = 0. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2849880 = 12723*j - 12663*j. What are the prime factors of j?\nAnswer: 2, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 10*c**2 + 11*c - 5. Let u(t) = t + 6. Let q(x) = 2*x + 12. Let y(r) = -4*q(r) + 7*u(r). Let a be y(3). What is o(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + 5 + -8 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, 2, 8 in decreasing order.\nAnswer: 67, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 6:27 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**4 + 1074*q**3 - 278541*q**2 - 5277636*q - 24147396 = 0. Calculate q.\nAnswer: -9, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -826, -828, -830, -832?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 2*t**2 - 1. Let m = -25 - -20. Let j be (-3)\/3 + m + 8. Let y be -1 - (-1 - (-2)\/j). What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.04451 or 5\/12?\nAnswer: 0.04451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of 55*p**3\/3 + p + 453. Let q(g) = -6*g**2. What is j(q(c))?\nAnswer: 1980*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 + 4*u**2 + 3*u - 5. Give w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -179 + 179. Suppose g + 120 - 126 = a. Solve 0*k = 3*k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11211 + -31032?\nAnswer: -13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -55 - -67. Calculate the least common multiple of q and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 5:17 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 313 + -178. Let o = -130 + a. Solve o = q - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3040 (base 10) to base 12\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k + 2. Let r(d) = d**3 - 17*d**2 + 2*d - 26. Let j = 44 - 27. Let m be r(j). Let w(f) = -2*f + 3. Determine m*c(p) - 5*w(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:30 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 13) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.22 and -1830.731099188.\nAnswer: -1828.511099188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (209 + -206)*(8\/(-10) - -1). Which is the second biggest value?  (a) 209  (b) 1\/6  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 - -31. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - w + 2*w)*(4*w**3 + 3*w**3 - 4*w**3)*(6*w + 3*w - 6*w).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 64, 104, 122, 106, 44?\n\"Answer: -2*z**3 + z**2 + 51*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 - 9*v + 18. Let i be c(-6). Suppose i = -121*f + 118*f + 327. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/(-135) + (-58)\/(-18). Solve 0 = -0*x - d*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-20)*5*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3587187 divided by 1.\nAnswer: 3587187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**3 - 5*b**2 - 2*b + 1. Determine j(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2280 - 2279.5135. Let a = 0.1612 - o. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.26 + 21.74. Let g = 761.62 - 757.62. Which is the third biggest value?  (a) n  (b) g  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/29 < 2074.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11220123 (base 5) to base 4\nAnswer: -120232220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (295\/70 - 4)*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*433975.\nAnswer: 43397.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42460 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3*l - 12 = -3*u, 0 = 4*u - 4*l - 80. Solve -u = -4*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1080 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -3*a**5\/20 - a**3\/6 + 628*a. Let h(b) = -13*b**3 - b**2 - 4*b. What is 4*h(d) - 18*v(d)?\nAnswer: 2*d**3 - 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 34, 19, -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 932041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*f - 312 + 38*f - 148*f + 26*f - 161*f.\nAnswer: -208*f - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 12, 2*p - 2*u - 2 = -u. Suppose -p*z + 5*z = 2. Let j(r) = -r**2 - 11*r - 6. Let o be j(-10). Solve o*i - z = 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 1 = 3*q. Sort q, 0.1, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163, 159, 153, 145, 135?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1351246*y**3 - 5310664 wrt y?\nAnswer: -4053738*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/5 - 4)*(1 - 0). Let t(u) = -u**2 - 6*u - 2. Calculate t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**5\/5 + 206*a**4 + 41618*a**3\/5 + 80154*a**2\/5 + 39564*a\/5 = 0 for a.\nAnswer: -471, -42, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -139.1 + 139.1. Let z = 55 - 56. What is the nearest to -0.2 in z, 15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*n*s + 266*n - s**2 + 2*s with respect to s.\nAnswer: -7*n - 2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from {z: 7, i: 8, f: 2, l: 3}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -2*p - 17, 2*u - u - 7 = p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 7*t**2 + 3*t + 6. Let o(x) = -x**3 - 16*x**2 - 62*x + 22. Let l be o(-10). Let m be (15\/(45\/l))\/(-2). Calculate s(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 3b1?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 217428050 to the nearest integer?\nAnswer: 14745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-132)\/22*(-35)\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*j - f - 7, -5*j + 2*f - 13 = 0. Let r = 0 - j. Let p(x) = 10*x - 15. Let d be p(2). Which is the closest to 0.1?  (a) -0.4  (b) r  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**2 - 1236524*z - 16075488 = 0.\nAnswer: -13, 309144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(3)*3 + (sqrt(21)\/sqrt(175))**2.\nAnswer: -47\/25 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*k + 12 - 848 = 2*t + 87, 3*t - 62 = 2*k + 48 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -8, -26\/19, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 620, -5.\nAnswer: -5, -3, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -559, -1862, -4017, -7024, -10883?\nAnswer: -15594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101012220021 (base 3) to base 7.\nAnswer: -1465246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 0, 13, 48, 117, 232, 405?\n\"Answer: 2*d**3 - d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*c + 21, 0 = -0*n + n - 4*c + 9. Suppose n*j + 2*f - 37 = 0, -3*j + 43 = 2*f + 3*f. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(((sqrt(144) - 4*sqrt(144)) + sqrt(144))*5 - sqrt(144))\/sqrt(12))\/(3*(sqrt(400) + 5*sqrt(400)*-1 + sqrt(400))).\nAnswer: 11*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-0.03479284.\nAnswer: 0.013917136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.022 + 0.178. Let k be 54 + (-2 - 0 - -2). Let d = -433\/8 + k. Which is the smallest value?  (a) z  (b) d  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/(z**(-3)*z)*z))\/z*(z*z*z*z\/z**8*z)\/z*z)**(1\/21))**(2\/29) assuming z is positive.\nAnswer: z**(-2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19405975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4526067315 to the nearest integer?\nAnswer: 67276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fq when two letters picked without replacement from yfqyfccccccccycffl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5*(sqrt(300) + 2 + sqrt(300) + -3) + -4)*3*-1)**2.\nAnswer: -405000*sqrt(3) + 6768225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 73*j - 27*j - 1 + 3 + 37*j. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (6*-1*sqrt(91) - (sqrt(91) - 1*sqrt(91)*2 - sqrt(91)))\/(((sqrt(560) - 1*sqrt(560))\/sqrt(10) + sqrt(56) + sqrt(56))\/sqrt(8)) + 3)**2.\nAnswer: -24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 19 + -17 - 6\/(-2). Suppose -r = c - 4, 3*c = -5*r + h + 19. Suppose 5*g = 3*u - 8 + 2, 3*u + 5*g = r. Solve l + l = u*j, 3*l - 1 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -8 + 8 + (9 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.9893 - -1. What is l rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - 4*w**2 - 3*w + 8. Let k be (-2)\/3 - (-48)\/(-9). Let g be b(k). Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 + j - 1. Let n(s) = s**3 - 2*s**2 + 2. Let k be n(2). Let z = -1 - 0. Let x(a) = 3*a**2 - 2. Give k*u(p) + z*x(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -358054, -358068, -358120, -358234, -358434?\n\"Answer: -4*h**3 + 5*h**2 - h - 358054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -4*r**2 + 7 - 3 - 4. Let o(w) = -w**2 - w + 1. Let t(f) = 30*f**2 + 12*f - 12. Let x(v) = -12*o(v) - t(v). Determine x(l(j)).\nAnswer: -288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4146283495 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 466511.1 times 0.21\nAnswer: 97967.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 2 - 8 + 1. Let a be (44\/(-121))\/(6\/(-33)). Suppose -13*u + 3*u = -a*u. What is r(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + b**2 + 5. Let c be u(0). Let g = -0.3 + 0.3. Let p = g - -1. Sort c, -1, p in increasing order.\nAnswer: -1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64953 and 212925213?\nAnswer: 9279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*u + 5. Let a be 2\/(-18) + 2675\/(-225). Let k(h) = h**2 + 19*h + 78. Let i be k(a). Put 4, i, u in increasing order.\nAnswer: i, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20897 is divided by 106.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 565 - 562. Solve 3*x + 8 - v = -w, 2*w + 2 = -2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 5*h**4 + 85*h**3 - 535*h**2 + 375*h + 990 = 0.\nAnswer: -22, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(-70) + 2\/14. Let n(o) be the second derivative of -1\/4*o**4 + 1\/20*o**5 - o**2 + j - 1\/3*o**3 - 6*o. Give n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -352*q**2 + 839*q**2 - 7*q + 2*q**3 - 282*q**2.\nAnswer: 2*q**3 + 205*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 15*g**2 - 5*g + 19. What is the remainder when v(-15) is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37479*p + 18782*p + 15582 = -18326*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -a755 (base 15) in base 9?\nAnswer: -53508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 64525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-23)\/f**(-1\/6))\/((f**(-16)*f*f)\/f**(10\/19)) assuming f is positive.\nAnswer: f**(-947\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.7, 750, 0.83 in descending order.\nAnswer: 750, 0.83, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -182\/15783 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 12*k**2 + 11*k + 1. Let w be d(11). Find the common denominator of (651\/168)\/(2\/(-4) + w) and ((-87)\/(-12))\/((-2)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 180821, 180820, 180819, 180818, 180817, 180816?\nAnswer: 180815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -218, -2 in descending order.\nAnswer: -2, -3, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((-7 - -10) + 25 + 17 + -8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1, -7\/6 in ascending order.\nAnswer: -7\/6, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1737*b**3*d*n*r - 9*b**3 + 5*b**2*r**3 + 3*b*d*r**3 + d*n*r + 15*n*r wrt d?\nAnswer: 1737*b**3*n*r + 3*b*r**3 + n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -9. Let g(z) = -z - f - 2 - z. Let i be g(-4). Solve -i*j + 3*q = 7*q + 12, -4*j - 12 = 4*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40408166.\nAnswer: 2, 20204083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 400 and 48816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -15\/8, 6\/67, -4, 1\/10, 557 in descending order.\nAnswer: 557, 1\/10, 6\/67, -15\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*p, 0 = 3*n - n - 4*p + 24. Let s(f) = -16*f - 7. What is the tens digit of s(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -928, -929, -930, -931, -932?\n\"Answer: -q - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 11469, 9, -24 in ascending order.\nAnswer: -24, -4, -1, 9, 11469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138240239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1241*o**2 - 1250*o**2 + 3754*o**2 - 1246*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3 + 1 + 3*r - 3*r - 3*r - 1. Let p = -15 - -23. Suppose -p = -3*s + 1. Determine v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5 - 4) + 5)*6\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3035 and 8.\nAnswer: 24280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 675 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 7:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uukkttukktkuttkukk. Give prob of sequence kt.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19947269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p + 2*p - 13*p**4 - p**4 - p wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3129 and -4388.\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -58*h**2 + 346*h + 12 = 0. What is h?\nAnswer: -1\/29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*b**2 - 183 + 3*b - b + 398 - 200 as k*b**2 + u*b + d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*x - 6*x - 1 + 17*x - 2*x**2 - 2 - 8 to f*x**2 + u + l*x and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -540, -550, -572, -612, -676, -770, -900?\n\"Answer: -y**3 - 3*y - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14532535 + -2043?\nAnswer: -14535022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*k = 4*k - 3, -3*k = 5*t - 25. Calculate the least common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 0 - x**2 + 1 + 3 - 6 - 12*x. Let g(l) = -21*l - 96. Let p be g(-4). Calculate z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = r - 18, -2*r + 16 = 5*c - 2*c. Suppose -4*o - 4*z = -12, z - 31 = -3*o - r*o. Find the first derivative of 5*b**2 - o + 13*b - 2 - 13*b wrt b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.19 - -0.29. Let t = 1.04 - 0.44. Let w = t - 0.5. What is the nearest to i in 2\/9, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, -9 in ascending order.\nAnswer: -9, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -727 + 11270?\nAnswer: 10341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 14) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ov when two letters picked without replacement from vyyok?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 7:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65 + 101. Let n = u - 38. Let m be (-87)\/(-638)*4\/n. Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*j + 13 + 19 = 0, -2*j - 8 = 0. Let f(o) = 6*o - 7. Let t(h) = -h + 1. Let u(g) = p*f(g) + 28*t(g). Let z(k) = 2*k**2. Determine u(z(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2048455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yynavnyynmvvhhnnh. What is prob of sequence vnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.23 + -0.77. Let n = -0.1 + 0.1. Are t and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 4*p**2)*(2 + 3*p**2 - 2) + 3*p**4 + 0*p**4 - p**4 + (3*p**2 + 2*p**2 - 3*p**2)*(4*p + p**2 - 4*p) - 4*p**4 + 2*p**3 - 2*p**3.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 3:50 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/756 and 115\/2844?\nAnswer: 59724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - c + 0*c + (-2*c + 2*c - c)*(0 + 3 - 4) - 3*c + 2*c + 4*c + 15 - 15 + 11*c)*((c - 4*c + c)*(3*c - 3*c + c) - 4695 + 4695 - 1562*c**2).\nAnswer: -21896*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -416\/3 - -139. What is the nearest to -10 in -4, b, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2806\/9 - -312. Let m = -0.01 + -0.29. Which is the nearest to q?  (a) m  (b) 0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 3*m - 6*b, 0 = m - b - 15 + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(676\/65))\/(-2)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (17\/4)\/(5\/180). Suppose 5*y - 147 = g. Suppose 4*u - 3*a = y, 2*u = 4*a - a + 36. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllljlj. What is prob of sequence jll?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.03 - -1.97. Let f be (5\/2)\/((-15)\/30). Let k be ((-2)\/55)\/(1\/f). Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-12 - -1) - (-29 - -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 209\/85 + -113813\/46495. Let m = -56377\/3282 + w. What is the common denominator of m and -7\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-54) - 4447642\/(-68715) - 9\/5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -865 and -55.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9168 - -9178. Solve -3*r - 3*m - 30 = 0, -12*r + 2*m = -n*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55842.55 kilograms to tonnes.\nAnswer: 55.84255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 677, 1396, 2135, 2906, 3721, 4592?\nAnswer: 5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 55412 + -55?\nAnswer: 55324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of 673*f**5\/20 + 7*f**4\/12 + 37*f**3\/6 - f**2 - 4243*f. What is the second derivative of r(q) wrt q?\nAnswer: 4038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 6 = -36. Suppose r = c - 5*t, t - 2 = -4. Suppose -4*f - 2*m + 34 = c, -f + 3*m = -m - 22. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + 3*i + 3. Let p be o(-2). Suppose 2*q = -q. Suppose -v = -q - p. Let j(x) = x**2 + x - 1. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, q: 4, z: 2, h: 2}. Give prob of picking 1 n and 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.44 and -3.4?\nAnswer: -38.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -1916*o**2 + 20*o + 96. Let u be b(-6). What is u rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2639, -2564, -2489?\nAnswer: -2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*n = 120*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 25 = -5*a + 7*v, -v - 9 = -3*a. Let r = 1 + -1. Solve -a*w - w + 6 = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zrz when three letters picked without replacement from {p: 4, r: 7, z: 7}?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*u**2\/8 - 9497505*u\/4 + 678393 = 0. What is u?\nAnswer: 2\/7, 904524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Is 4422853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3645, -20, 4, -1, 3 in decreasing order.\nAnswer: 4, 3, -1, -20, -3645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432ad9 (base 16) to base 15.\nAnswer: 5be3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -3*g - 72, p - 6*p + 4*g = -119. Suppose 667 = -33*s + 62*s. Is p less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 30 = 81*r - 86*r, 4*b = -3*r - 27 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**4\/24 + 2*u**3 + 21*u**2. Suppose -24 - 172 = -14*p. Determine t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q = 12*q - 828. Let t be ((-1)\/(-3))\/((-23)\/q). Suppose t*c = -5*r + 996, 5*r - 1000 = 5*c - 10*c. Calculate the highest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 215 and 18.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15948*c**3 - 6473 with respect to c.\nAnswer: -47844*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 6*x - 4. Let a = 12 - 27. Let b be (1\/(-3))\/(6\/(-180)). Let m = a + b. Determine g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 4.85. Let y = 6.15 - d. Let l = y + -5.5. What is the smallest value in l, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8232*b - 8227*b = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f + 5. Let o(h) = 2. Let k(v) = -3*o(v) + r(v). Let a(z) = 4*z - 4. Let j(i) = -a(i) + 4*k(i). Let t(n) = 35*n. Calculate j(t(g)).\nAnswer: 140*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y + 1. Let g(t) = -7*t**2 + t. Let b(i) = -g(i) - n(i). Calculate the remainder when b(2) is divided by 8\/(-5 + -3) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - ((-20 - 56) + -51 + 84)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 1, k: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6826748681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-458)\/56 - (-1)\/(-4) and ((-9)\/(-6))\/((-30)\/74)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*o - 220632 + 7*o + 218682 to the form f*o + y and give y.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 125c?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 4. Let k be m(-6). Suppose -3*c = h + c - 23, -4*h - k*c + 78 = 0. Let q = -21 + h. Which is bigger: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 7:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/4 - 33\/(-66). Solve n*k + 17 = 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -5, 2\/569 in ascending order.\nAnswer: -5, -4, 2\/569, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 41, -1, -0.5, 10 in descending order.\nAnswer: 41, 10, 0.05, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3328 - -5975. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 15*g**2 + 13*g - 108. Calculate q(-9).\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6459192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of 2\/7*v + 13 + 1\/21*v**3 + 3\/14*v**2. Factor k(q).\nAnswer: (q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 79 - 169. Let x = n - -95. What is the nearest to -0.1 in x, 4\/5, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1f - -793f?\nAnswer: 795e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + w = 15. Suppose 0 = -5*y + 4*l + 155, -w*y + 98 - 7 = -2*l. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 5*i - 25, 4*j + i + i + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21640798.\nAnswer: 2, 10820399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 6*k**2 - 6*k + 1. Let m(h) = -3*h**3 + 18*h**2 - 19*h + 4. Let z = -8 - -1. Let w(j) = z*a(j) + 2*m(j). Let s be w(5). Sort 9, 5, s.\nAnswer: s, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 1:59 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 42047, 42245, 42763, 43757, 45383, 47797?\n\"Answer: 26*c**3 + 4*c**2 + 4*c + 42013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 65*w - 96. What are the prime factors of z(15)?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 2:18 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 259831 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -87942 divided by 2565?\nAnswer: -29314\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1621 + 1621 - 58*z)*(93*z + 84*z - 194*z - 2*z + 2 - 2 + (5 - 1 - 2)*(4*z - 3*z - 6*z)).\nAnswer: 1682*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = l - 4. Let r = l - -11. What is the common denominator of 137\/12 and (-74)\/(-24) - 1\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 18*q - 10. Let g be p(10). Suppose 2*c = 4*n - 72, -6*n + n + 4*c = -87. Let j = n + g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 3*f**2 - 4*f + 3. Let c be r(4). Factor 3*g**3 + 13*g**4 + g**c - 12*g**4 + 4*g**2.\nAnswer: g**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 30 = 262. Suppose -w = -2*c - 0*r + 2*r, 3*r + 12 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*o = -21*o - 595. Suppose 2*i + o = 9*i. What is the remainder when 46 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 192 = -12*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 14*c - 13*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 100263, 401191, 902733, 1604889, 2507659?\n\"Answer: 100307*k**2 + 7*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**3 + 2*c**3 + 0*c**3 + (11*c**2 + 14*c**2 - 20*c**2)*(-4*c + 5*c + 0*c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 590259071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 49906118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 162233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 - 210?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1340 = -4*o, -2*o + 529 + 133 = 2*u. List the prime factors of u.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2300252 or 2300231?\nAnswer: 2300252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -414122, -1656513, -3727164, -6626075, -10353246?\nAnswer: -14908677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17303689, -2 in increasing order.\nAnswer: -2, 4, 17303689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**2\/7 + 10*l\/7 + 100\/7 = 0. What is l?\nAnswer: -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let h(g) = -2*g**5 + g**4 + 2*g**3 - g**2 + g - 1. Let w(r) = 5*r**5 - 11*r**4 - 15*r**3 + 29*r**2 + 49*r + 27. Let o(z) = -6*h(z) - 2*w(z). Solve o(p) = 0.\nAnswer: -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3135, 3251, 3415, 3651, 3983, 4435, 5031, 5795?\n\"Answer: 4*h**3 + 88*h + 3043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 7) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 1 - 63 = 0. Let h(o) = -o**2 + t + o + o - 36. Let w(s) = 3*s**2 - 6*s + 11. Let v = -5 + 16. What is v*h(m) + 4*w(m)?\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24566548 divided by -1789.\nAnswer: -13732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 970 = 3*w + 2*w + 5*i, 2*i + 977 = 5*w. What is the highest common divisor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3629*f - 9953*f - 15621*f + 279*f.\nAnswer: -21666*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2472 - 888 - 3*y**2 - 1293)*(-1 + 2 + 0) + 2*y**2 - 2*y**2 + 2*y**2 + 2*y.\nAnswer: -y**2 + 2*y + 291","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 6*b**2 - 6*b + 7. Let m be i(-7). Suppose c - 10 - 5 = m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -39 or -762\/19?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -969*l**2 + 4577*l**2 - 2*l**3 - 1204*l**2 - 1202*l**2 - 1202*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence isd when three letters picked without replacement from piwsbdiwwsi.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -58814 (base 10) in base 7?\nAnswer: -333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 19. Let a be (4 + -8)\/(2\/(-47)). Suppose -2*t = -5*z + a, x*z - 4*t - 30 = 18. What is the highest common factor of z and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3264\/476*(-42798)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (100\/125)\/(2\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c*o*s**4 - 64914*c*o*s**3 - 4*c*o*s - 45*c*o + 8*c*s + 3*o*s wrt s?\nAnswer: -12*c*o*s**2 - 389484*c*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -30 + -10b?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4781*s**2. Let w(o) = o. What is i(w(r))?\nAnswer: 4781*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d - 5*d + 0 + 6. Let z(c) = 52 - 54 - 1391*c + 1393*c. Determine -2*y(g) - 7*z(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2*2*9\/90\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671 is divided by 640.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 29 = -5*d, -p - 36*d - 6 = -35*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1. Let n(y) = 2*y - 5. Let m(h) = 3*h - 6. Let w(j) = 4*m(j) - 5*n(j). Determine 3*c(s) - w(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8 = 8. Let l(g) = -g**3 - g**2 - 2*g - 4. Let o be l(-2). Suppose 5*i = 25, -4*j = -j - o*i + 5. Solve -j*r = -4*r - 2, -2*r + q = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 11239?\nAnswer: 11239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.33 and -14.348.\nAnswer: -14.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2163 - -4?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 2*t - 0*t + 8, 3*t = -4*v + 5. Let h = -4 + v. Put -3, 2, h in decreasing order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 7*u**2 - 6*u. Let v be q(-6). Suppose t - 4*t - 15 = v. Let a(m) = -m**3 - 5*m**2 + 2*m + 2. What is a(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 9:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-7)\/3 - -2)*3. Is t bigger than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 182521120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -70380*i + 48296.\nAnswer: -70380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -180364949\/1404 - -128465. Calculate the common denominator of s and -149\/36.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0467356 and 111912.\nAnswer: 111911.9532644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, k: 4, z: 1, n: 1, h: 2}. What is prob of sequence kee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (0 - 5) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 7. Let y be n(-7). Let c(t) = t**3 - 7*t**2 + 2. Let i be c(7). Suppose -2*v + 6*w = i*w, y = -3*v - 2*w + 16. Solve -v*h = h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 222*o**2 - 6908*o + 803. Calculate f(31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 653927 at least 653926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**2 + 131*g - 6085. Is m(84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -10. Suppose 0 = x*v - 2*p - 6, -3*v - 5*p - 26 = -2*v. Let t(n) = 1 - 10*n + 2*n - 2. Determine t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -r**6\/360 + r**5\/30 - r**4\/4 - 3*r**3 - 3. Let a(p) be the third derivative of f(p). Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 557*w + 555*w - 7 - 1110*w + 44 - 3 - 9 - 21.\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-11)\/(-4) - (-6)\/(-8))*(10 + -9). Solve 0 = 4*t + 3*l + 31, -13*t - o*l = -12*t + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -1019*q + 338. Let f be u(-1). Calculate the highest common divisor of f and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(4\/15)\/(m*m*(m\/((m**(-4\/33)*m)\/m*m))\/m*m)*(m*m**8\/m*m)**(8\/9) assuming m is positive.\nAnswer: m**(338\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 3*p - 8. Let s(y) be the first derivative of y**4\/4 - 2*y**3\/3 + y**2 - 2*y - 70. Calculate s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y - 5. Let w = -98 - -93. Let f(q) = q**2 + 20*q + 70. Let l be f(w). Let x(j) = -2*j + 3. Determine l*r(i) - 8*x(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -81200822*r**3*s**2 - 2*r**2*s**2 - 789*r**2*s - r*s + 389*s**2 + s wrt r?\nAnswer: -487204932*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23898)\/569)\/((-7)\/2)*(-4)\/(-180)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12250710 is divided by 2450138?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4448\/(-1946) - (-250)\/140?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 + 6*i + 16. Let t = 139 - 138. Let b(p) = -p**2 - 1. Let c(r) = t*q(r) + 12*b(r). Factor c(y).\nAnswer: -2*(y - 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49581445.\nAnswer: 5, 23, 29, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 25 = -4*h, -6*h + 2*h + 20 = -4*n. Which is the second biggest value?  (a) 3  (b) h  (c) -0.3  (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1072807 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -7, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q + 3. Let z be o(-7). Let j be z - -4 - 2\/(-3). Which is the smallest value?  (a) j  (b) 3  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 348 by 5.\nAnswer: 348\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 0, -18 in descending order.\nAnswer: 22, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*r**3 + 4*r + 30*r**3 - 4*r.\nAnswer: 115*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and -345.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c + 11147*c**3 - 15*c**4 - 11147*c**3 + 1 to y*c + p*c**2 + g*c**4 + n + r*c**3 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1682424695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 16) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 9. Let n(y) = 2*y - 1. What is the remainder when o is divided by n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 210 and 245.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 0*z + 2*z - 4*z. Let b be j(-5). Suppose 3*f - 130 = -b. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9442760 and 5665656?\nAnswer: 28328280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 28 = -3*u. Let o(p) = p**3 - 10*p**2 + 7*p. Let i be o(u). Let q = i + 2078. Round q to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-216)\/(-18))\/600)\/(2\/(20\/5)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3481*q + 3554*q + 3562*q + 3556*q - 14148*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xyyyyyxxyx. What is prob of sequence xyx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 3*y - 5. Let q be u(2). Suppose -10*i = -5*i + 10, 3*n = q*i - 182. What are the prime factors of 8\/n - 2530\/(-16)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/20, 11, -7.7?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -270*v**2 + 8*v + 1?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24 + -4974408?\nAnswer: -4974394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 5*m**2 + 3. Let b(p) = -p**2 - p - 1. Let g(t) = 3*t - 30. Suppose a - 3*a = -24. Let q be g(a). Let r(n) = q*b(n) + x(n). Give r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 37854.\nAnswer: 264978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 10*g**3 - 13*g**2 + 24*g + 5. Let q(j) = 3*j**3 - 4*j**2 + 8*j + 2. Let m(x) = -3*c(x) + 8*q(x). Let u be m(7). What is u rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of v**4\/24 + 6*v**2. Let s(q) = 15*q. Calculate o(s(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x**2 - 11*x**2 + 14*x**2 + x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/572*(-153758)\/(-723)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6391.18 centuries?\nAnswer: 7669416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 17\/9111111?\nAnswer: 17\/9111111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22277074 to the nearest integer?\nAnswer: 4720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6775*r**4 + 72*r + 6 wrt r?\nAnswer: -81300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y**5 - y**5 + 0*y**5 + (3 - 3 - 2*y**2)*(2*y**3 - y**3 + y**3) + (4*y - 5*y**2 - 4*y)*(-y**3 + 0*y**3 + 0*y**3) - 3*y**5 - y**5 + 3*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from {z: 4, a: 2, s: 3, d: 2, b: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 - 623*j**2\/4 - 8729*j\/4 + 2655.\nAnswer: -(j + 20)*(j + 59)*(8*j - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8301?\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18287623.8 nanoseconds to days.\nAnswer: 0.0000002116623125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (352\/(-2464))\/(1 + -7 - 123\/(-21)). Let y be (114\/(-15))\/(914\/749720). Let g = -6234 - y. Which is bigger: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20686 + 20779. Solve -12*s - z + 105 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2*h)*(4 - 4 + 6) - 5*h + 5*h + 2*h - h - 2*h + h + (-1 - 2 + 1)*(-2*h + 2*h - 2*h) as j + w*h and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104562 = 389*w - 398*w. What are the prime factors of w?\nAnswer: 2, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45399524 and 2811.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 4091.565 centimeters?\nAnswer: 40.91565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138426 is divided by 7687?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8803182 divided by 4.\nAnswer: -4401591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/15*40\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -365 + 358. Which is the second biggest value?  (a) v  (b) 1\/11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*h + 3 + 3, 4*s - 4*h = 24. Let v(n) be the first derivative of 0*n + 0*n**2 - 2\/3*n**s - 3 + 1\/2*n**4. Solve v(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*d**3*n**2 + d**3*n - 18884*d**3 - 6*n**3 wrt n.\nAnswer: -28*d**3*n + d**3 - 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 23 divided by -70\nAnswer: -23\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of i**6\/18 - i**5\/30 - 5*i**4\/36 + i**3\/9 - i. Solve m(b) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 2:06 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -121, 6, 4, -2, 254 in ascending order.\nAnswer: -121, -2, 4, 6, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 14 = -4*s. Suppose s*r - 2*r = 45. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 557\/2 > 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21\/13 in -9\/28, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/2904 and 18\/29.\nAnswer: 84216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f - 11. Let j(z) = -2*z + 12. Let s(g) = 5*j(g) + 6*o(g). Let p be s(5). Suppose -p*b + 4 = n + n, -2*b = -n - 6. Let c(t) = -t**3 + 1. Give c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -116*k**3 - 4*k**2 - k - 16. Let g be y(-5). Suppose g = -10*d + 91499. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five eighths of a microgram in nanograms?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -13*u - 64 - 17, -83055*u + 83057*u = 3*s - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaobabaraaaotrb. Give prob of sequence botr.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 649c16 (base 14) to base 16.\nAnswer: 33ff3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102 - -102. Let f be 6\/(-132)*(u + 26) - -1. Which is the biggest value?  (a) 0.5  (b) -5  (c) f  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 25749 + 25743 = 2*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 234db5 (base 15) to base 9\nAnswer: 3151378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6688 and 2728?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2848?  (a) 1\/9  (b) -10  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 498521 is divided by 906?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p - 55. Let l(k) = 49*k. Calculate j(l(b)).\nAnswer: 98*b - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1379783 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -3*g + 15, 414 - 390 = -p + 7*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -15*y**3\/7 + 5259*y**2\/7 - 13554*y\/7 - 6264\/7 = 0.\nAnswer: -2\/5, 3, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2747 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4822227.\nAnswer: 3, 178601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*h**3 - h**3 + 21*h**3 + 3*h**2 + 8*h)*(-6 + 6 + 8*h) to the form t*h**2 + n*h**3 + p*h + o*h**4 + w and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**3\/15 + 247728*p**2\/5 - 49546*p - 1486372\/15 = 0.\nAnswer: -371593, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q**(-2\/5))**(1\/11)*((q**(-1)\/q)\/q)\/(q*q**(7\/4)))**18)**(-8\/7) assuming q is positive.\nAnswer: q**(44388\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 11*s**2 + 12*s**2 - 4 - 1 - 4.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14420 + -10038. Calculate the highest common factor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110153 is divided by 219.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/20 + (-64)\/(-10). Suppose 0 = -3*o + p + 30. What is the units digit of (o\/(-15))\/(1\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 89, -111, -649, -1693, -3411, -5971, -9541?\n\"Answer: -28*s**3 - s**2 - s + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/1199232 and -49\/43200.\nAnswer: 29980800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -544*t + 553*t - 45. What is the remainder when (-2 - (0 + -18)) + 0 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(2\/5))\/((g*g\/(g**(9\/2)\/g*g*g)*g)\/g))\/(((g\/(g*g\/g**(-4))*g)\/g)\/g*g*g**(-3\/7)) assuming g is positive.\nAnswer: g**(667\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {e: 7, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12 + -10 + 11681\/(-2820). Let i = -13\/141 - a. Calculate the common denominator of i and -19\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 11*v**2 + 8*v + 5. Let m be r(-10). Let u be 2\/(-4) - (350\/(-12))\/m. Which is the nearest to u?  (a) 2\/11  (b) 2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 8*r**2 - r + 1. Give p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 10:52 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 17*d**2 + 15*d + 18. Let f be a(16). Let p(m) be the second derivative of 37*m**3\/2 + m**2\/2 + 3*m. Is p(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 4 - 2 - 3. Let a(f) = -4*f. Let m(l) = -l + 4. Let k be m(5). Let h(v) = k*a(v) + 2*d(v). What is the first derivative of h(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.07 - -0.07. Let t = d + -2. Let p = -0.01 - -4.01. Sort 5\/3, t, p.\nAnswer: t, 5\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n = 2774 - 2813 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/4 + 285819*t**3\/2 - 81691929121*t**2\/4 - 40846393290*t - 20423268100.\nAnswer: -(t - 285820)**2*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i = 2*p + 5*i + 15, 3*p - 2*i + 6 = 0. Suppose 107*n - 101*n - 114 = p. Solve n*r - 23*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 15) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -12467, -3, 271, 5, 0, 8 in descending order.\nAnswer: 271, 8, 5, 0, -3, -12467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 43 + 22 + -55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2. Let r(w) = 9*w**2 + 6*w. Let a be (-2)\/10 + 31\/5. Let s(y) = a*j(y) - r(y). What is the second derivative of s(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6)\/(6647\/1734).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 6*p + 849. What is c(-55)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423 is divided by 100?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 40 - 40 + 10*f**2 in the form m*f + x + d*f**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 709*r - 1204*r - 29 + 706*r.\nAnswer: 211*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -14*x - 20. Let a(c) = -9*c - 14. Determine 8*a(t) - 5*m(t).\nAnswer: -2*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 21*l**3 + 945*l**2 + 918*l - 274. Give w(-44).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + -2)) + sqrt(19) + -5)*3.\nAnswer: -9 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**3\/6 - 3*j**2. Let u(y) be the third derivative of 0 + 0*y - 5\/6*y**3 + 1\/12*y**4 + 2*y**2. What is -4*k(w) - u(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2 = -4*w, 6*w - x = 2*w + 1. Suppose 132*c - 149*c = 12461. Let p = -724 - c. Solve -4*a + p = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*q - q, 1972 = f - q. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 567210 <= 3970475\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 divided by -66.\nAnswer: 61\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39652, 81699, 123746, 165793, 207840, 249887?\nAnswer: 291934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 1. Let t(v) = -4*v**3 + 3*v**2 + 2*v - 4. Let d(r) = 3*p(r) + t(r). Let g be d(3). Suppose 8*c = g*c. Solve c = 3*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vmvvwevew.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -5*o**2 + 20*o + 8. Let a = -5 + 9. Let i(z) = 6*z**2 - 19*z - 9. Let b(n) = a*i(n) + 5*c(n). What is the units digit of b(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 6*w**2 - 7*w - 5. Let h(l) = 3*l**2 - 3*l - 3. Give -5*h(q) + 3*m(q).\nAnswer: 3*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3377293 weeks in minutes?\nAnswer: 3404.311344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -226*j - 6. Let q(y) = 114*y + 3. Calculate -5*q(k) - 2*t(k).\nAnswer: -118*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 531105383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2444309\/2472 + 5933\/6. Find the common denominator of k and -55\/8.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000814263831 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-390)\/780)\/((1\/(-3))\/((-102)\/9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7348 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -354*c + 364*c - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5283 (base 13) to base 7.\nAnswer: -45216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h*h*h\/(h\/(h**(-2\/17)\/h)*h)*h)\/h)**(-17\/2))**(1\/33))**(41\/3) assuming h is positive.\nAnswer: h**(-205\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2393668 divided by 4?\nAnswer: -598417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35 * -0.288.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*k + 731 - 731 to the form s + x*k and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -11, 4, 2, 57, 5, -486 in decreasing order.\nAnswer: 57, 5, 4, 3, 2, -11, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 5 + 15 = 0. Solve k - 2 = -w*z, 5*z = -0*k + 4*k + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 (base 10) in base 15?\nAnswer: -eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 6*c**2 - c**3 + 11*c - 13*c - 6. Let g be z(-6). Solve g*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(21)\/sqrt(3) + 0 + sqrt(14)\/sqrt(2))*3 - (sqrt(441)*1)\/(1*sqrt(7)*-1).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -71*i**2. Let j(t) = -7*t + 56. Let f(o) = -8*o + 63. Let d(m) = -8*f(m) + 9*j(m). Give c(d(b)).\nAnswer: -71*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75 - 8*k - 75 + 102*k.\nAnswer: 94*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4552 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 68 - 65. Put -22, 1, 0.4, k in descending order.\nAnswer: k, 1, 0.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**4 + 4*c**4 + 0*c**4)*(940*c + 3497*c + 2 + 414*c + 1253*c).\nAnswer: 12208*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2. Let s(u) = -1294*u + 4. Calculate s(w(p)).\nAnswer: 1294*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 15*s - 120. Let z be a(9). Sort z, 13, -4 in descending order.\nAnswer: z, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 5*d + 30, 4*w - 26 = -0*w - 3*d. Let j(n) = 2*n**2 + 8*n + 5. Let i be j(w). Suppose 5*m = -0*m - i. Is -18 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -7. Suppose -2*c - 33 = 5*h - 117, 4*h - 16 = 0. Let g be (y\/8)\/((-12)\/c). Solve 0 = -f + g - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 100 = -3*u, -875*u + 871*u = 5*h - 126 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -5, 893, 1 in descending order.\nAnswer: 893, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79 - 111. Let n = 97 + w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -28 - (-81 + -9) - 52\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 699*0.07\nAnswer: 48.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b\/(b*b**(-1\/18)))**10*b**(-1)\/(b*b**(-2\/47)))**7 assuming b is positive.\nAnswer: b**(55069\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 240 divide 129360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1996\/16 + (-6)\/(-24) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3354 + 11?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2569 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 + -22. Solve 8*b - 4*b = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 36 = 2*j. Let f = 17 - j. Let c(b) = b**2. Let q(k) = 6*k**2. Give f*c(z) - q(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 22*q + 1814. Let n = 83 - -39. Calculate the remainder when n is divided by p(-81).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2525*l - 17671. What is u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-795)\/(-38425)*4\/((-84)\/(-35))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1260256 is divided by 45008?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-5 + 2 + 2*sqrt(176))**2.\nAnswer: -48*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -28*c**2 - 1\/24*c**4 + 0 + 0*c - 7\/3*c**3. Calculate w(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 4*b**2 + 110*b + 524. Let v be h(-5). What is the nearest to 1 in v, -1\/12, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 13 = -2*h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) 4\/9  (b) 16  (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of 6*g**2 - 1\/72*g**4 + 0*g - 1\/9*g**3 + 1\/180*g**5 + 0. Solve s(n) = 0 for n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -61 - -61 - (1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.2 - -1.9. What is the second smallest value in -1, 4, g, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22.3106 - -21.91. Let c = -0.4 - g. Round c to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8480384*g + 17521517 wrt g.\nAnswer: 8480384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1609 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/1)\/((-3760)\/4606). Let y(b) be the second derivative of -2*b**2 - b**3 + 25*b - l*b**6 + 287\/40*b**5 + 29\/4*b**4 + 0. Let y(t) = 0. Calculate t.\nAnswer: -2\/7, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25978 is divided by 139?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 56 = 2*o - 2*p, 0 = -2*p + 2. Suppose -5*k + 1 = -24. What is the remainder when o is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*j + 880 - 880. Let i be 1 - (-3)\/(-5)*2. Put 1, i, j, -1 in increasing order.\nAnswer: -1, i, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7\/10 + 4\/5. Which is the nearest to 0.1?  (a) -4  (b) -2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, b: 2, s: 4, m: 4, f: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -110  (b) -2\/5  (c) -582\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 10*g = -20. Let k(b) = 4*b + 4 + 1 + 2*b - b. Give k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14122464 divided by 1256?\nAnswer: -11244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2. Let o(d) be the second derivative of -d**6\/360 - d**3\/3 + 3*d. Let i(s) be the second derivative of o(s). What is a(i(m))?\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -148 - 131. Let i = l + 280. Let t(c) = 5*c. Determine t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -267 < -34252\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21878, 43770, 65654, 87530, 109398, 131258, 153110?\nAnswer: 174954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 22*z**3 - 3*z**2 + 4*z - 2. Let w be x(1). Let d = w - -1. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-5)\/u**23 assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 3187\nAnswer: 9561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*o**3 - 743*o + 2213*o - 782*o + 6 - 759*o - 5 to r + s*o**2 + v*o + l*o**3 and give v.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089349761 a multiple of 4186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -301, -199, -97, 5, 107?\n\"Answer: 102*l - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 4202 and 4202 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y + 83 + 7*y + 90 - 173.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 2*j**5\/25 + 3*j**4\/10 + 2*j**3\/5 + j**2\/5 + 1. Factor z(t).\nAnswer: 2*t*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w + 12*w - 19*w + 11*w + 4. Let i(g) = g + 1. What is 4*i(h) - r(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13203 - 11?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n. Let k(s) = 7 - 10 + 1 + s + 7*s. Calculate k(r(j)).\nAnswer: 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2808*m + 32038 + 39887 = -9507 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -481789890 take away -0.3?\nAnswer: -481789889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2*-4)\/(((-36)\/117)\/(1*4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -109 - 1388*d - 110 - 1126*d - 113 + 333 as q + k*d and give k.\nAnswer: -2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 + 12 + 15 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/90 and 133\/201720.\nAnswer: 605160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-7 + 5 + 0 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -0.591, -2\/17, -2, 3\/8, 19.\nAnswer: -2, -0.591, -2\/17, 3\/8, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 220 and 5885?\nAnswer: 23540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -3 - (-6 + (8 - -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35.29182 + 35.3. What is j rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (15\/4)\/(((-6)\/16)\/(-1)). Let k(r) = -5*r - 18. Let s be k(i). Let a = 70 + s. Solve -y + 1 = a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -255.2 and -445?\nAnswer: 113564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -2798*u + 2797*u - 2, 3*g + u = -16 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7.11291182 and 0.059.\nAnswer: 7.17191182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3*v = 8*o - 502, 4*v = -3*o + 310. Let c = -19 + o. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 28, 42, 80, 154, 276, 458?\n\"Answer: 2*q**3 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 1450  (b) -8  (c) -2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 231*f - 292*f + 305 = 0. Calculate the greatest common divisor of f and 9005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 13 + 1151*h**2 - 39 + 15 + 11. Let w(o) = 2*o. Give l(w(q)).\nAnswer: 4604*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5839.339 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 10*s = 288. What is the highest common divisor of 360 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 14*i + 15. Let b be l(13). Let j be -7 - -147 - (-8)\/b. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 1.4  (b) -0.3  (c) 273  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -4*l - 25. Calculate b(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 74*p**2 + 2*p. Let i be v(-2). Suppose 2*x = 4*x + i. What is the common denominator of 13\/8 and x\/(-20)*(-1)\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 8:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*r - 1 + 2 + 3*r)*(-90 + 40 + 15)*(-4*r + 3*r + 3*r) to v*r + z*r**2 + u and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 10*g - 15. Give u(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 12*u - 31. Let z(s) = -4*s**3 + 10*s**2 - 4*s - 7. Let l be z(2). Give i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 780*w**2 - 2322*w**2 - 150 + 770*w**2 + 771*w**2 as o*w + h*w**2 + i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/9928320 and -89\/20684.\nAnswer: 9928320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -7*b**2 - 2*b + 3. Let u be i(-1). Let l(v) be the second derivative of v**5\/10 - v**4\/6 - v**3\/2 - v**2 + 2*v. Give l(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(162)*-2 + 5 - -4*(-4 + sqrt(162) + -2 + sqrt(162)))**2.\nAnswer: -3420*sqrt(2) + 16561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -2. Let r = -4 - -1. Sort r, 2, l in descending order.\nAnswer: 2, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -92*k - 25. Is 4 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5*1*-10*(-6)\/100. Let t(n) = -6 + 8*n + n**3 - 3*n**2 - n**3 + n**3. Calculate the smallest common multiple of 12 and t(l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/84 and -83\/287118.\nAnswer: 4019652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 965 and 36863.\nAnswer: 184315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 13. Let s be (80 - v) + -4 + 6. Calculate the greatest common divisor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*b, -2*o - 5*b + 687 = -2861. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*-5*(2 + (-90)\/(-25)). Let x = -26 - s. Suppose 0 = 4*k - 3*y - 72 - 7, 4*k - 4*y - 80 = 0. Solve -2*n + 3 = x*i - 9, 0 = -n + 4*i - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4453996 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 2*f - g + 80 = 0, -4*f + 64 = -3*g. Let h = f - 17. Suppose -i - 9 = l, -l - 27 + 3 = -h*i. Is -14 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6362.7 + -6363. Let d = -16 + 7. Let w = 13 + d. What is the closest to w in 0, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 255 and 33?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 + -1.11. Let k = v - -5.21. Let y = 2 + 6. Which is the nearest to 1?  (a) y  (b) k  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-12)*5520\/(-276).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -57*z + 6. Suppose -20 = -h + 4*m - 7, 3*m = -h - 15. Calculate the remainder when q(h) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (-3 - (4 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4743413 is divided by 2440.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*h - m + 30 = 35*h, 0 = 4*h + 9*m - 46 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4939976 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(637) + 0 + 2*sqrt(13)*2.\nAnswer: -5 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 212101102111000 - 10?\nAnswer: 212101102110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 2  (c) 2\/17  (d) -1.89  (e) -5  (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(0 + sqrt(363)))**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 - 37*z + 85. Let g be q(16). Suppose g*n = m + 3, -3*n + 6*m + 9 = 3*m. Solve n = 5*w - 20 + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - ((1 - 17 - -8) + 12 + 4) - -59.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -287 - -312. Solve 2*z = 7*z - 2*m - 3, 5*m = -5*z - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-23)\/(-46))\/(2\/(-3004)). Let y = -3753\/5 - p. Which is the nearest to y?  (a) -1  (b) 5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -16*r - 22. List the prime factors of s(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -20 and 18836.\nAnswer: -376720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -9, -9 = -8*s + 6*s + 3*g. What is the nearest to s in -2\/7, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14843 = -4*r - a, -3*r + r + 2*a + 7434 = 0. Is r a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - 45\/(-1 + -2). Let a be ((-48)\/9)\/((-3)\/9). Does y = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247331563.\nAnswer: 247331563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 PM and 5:44 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -0*k - 2*k - 4*z, 0 = -z + 4. Let p(u) = -u**3 + 5*u**2 - u - 3. Let i be p(4). Let y be 20\/9 - 2\/i. Solve k = d + y*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -252 + 288. Calculate the greatest common factor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-26) - -128*(-1)\/(-494).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 2191986988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 7. Let b be (-1)\/(-3)*3\/v. What is the nearest to b in 0.5, -4, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1786 by -1.\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.56 - 162026.4384\nAnswer: -162024.8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + 3. Let b(x) = x**2 - 6*x - 13. Let p be b(y). Put -0.5, p, 5\/4 in decreasing order.\nAnswer: p, 5\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, i: 3, p: 2, g: 5}. What is prob of picking 2 g and 2 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 9, j: 3}. What is prob of sequence gggj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + -11 + 1056\/110. What is the closest to -1\/2 in a, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*x - 24, -n + x + 0*x - 6 = 0. Let t = n - -14. Let k be (-1)\/(2*(-1)\/t). Solve 4*v = -5*c + 25 - 62, -k*v - 2 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00243296677 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*n**4 - 5*n**4 - 22*n**4 + 5*n**2 + 4*n**4 wrt n?\nAnswer: -720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + 7. Let z(v) = 2*v**2 - 49*v + 45. Let b be z(24). Calculate the lowest common multiple of c and (-2 - 136\/(-14))\/(b\/98).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2372053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000473393212 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -t + 11*t + 1610. Suppose 3*r + 137 = -2*s - 92, 4*r - 109 = s. Let h = s - t. Solve 3*a - 5*z + z = -17, 0 = 4*a + 5*z + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4314053 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 - 3 - (-2 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -385.17, 13\/3, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in -1\/3, -32, 3\/2, -7, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + c + 14729 = -31547, 5*k - 2*c - 115689 = 0. Which is smaller: 23136 or k?\nAnswer: 23136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 489*r - 136*r - 702 = 2122 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -23*j**2. Let z(p) be the third derivative of -21*p**2 + 0*p + 0 + 1\/24*p**4 + 0*p**3. Give z(h(x)).\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, b: 1, p: 1, l: 3}. Give prob of sequence rlp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*z - 13, 4*z - 4*n - 1 = 11. Let s(p) = 26*p - 8. Let m be s(z). Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) - ((sqrt(200)*1)\/sqrt(4) - sqrt(50)))\/(-2*sqrt(640)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eteqepq. What is prob of picking 1 p and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1443728873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*q - 1 + 8*q**2 + 3 - 4 - 4*q**2.\nAnswer: 4*q**2 + 48*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uubbb. What is prob of picking 2 b and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**2 + 17968*b = 0.\nAnswer: 0, 8984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = -2*q - 4*a + 262, -4*a = -5*q + 401. Let r = q - 76. Solve h - 2*s - 10 = 0, -2*s + s - 5 = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-4) + (2 - 5))*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.4  (b) -150  (c) 15  (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 21 = -59. Let h(f) = -f**2 - 19*f + 42. What is the remainder when h(-17) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 189275868, 189275868, 189275876, 189275898, 189275940, 189276008?\n\"Answer: g**3 - 2*g**2 - g + 189275870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2 + 2*h**2 + 3*h**2 - 2*h**2 - 5*h**2 + 21. Give j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -7*p**3 - 8*p**2 + 10*p - 12. Let t(i) = 19*i**3 + 24*i**2 - 29*i + 35. Let n(b) = 11*d(b) + 4*t(b). What is n(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 471 + -457. What is the greatest common factor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l + 11. Let o(d) = -26*d - 54. Let s(f) = -11*i(f) - 2*o(f). Find the first derivative of s(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2385 = 240*g + 1657 - 3832 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 27*o + 44. Let g be z(-7). Let i be 1\/(1*(-2)\/(-202)). Let x = g - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9556871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 31154 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4742 * -23196.\nAnswer: 10999.5432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161*a - 100*a = -2609739. List the prime factors of a.\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1901698 and 8.3?\nAnswer: 15784093.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13995153?\nAnswer: 3, 19, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17286)\/(-6030) + 1\/15*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a7 (base 13) in base 10?\nAnswer: -813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) 2\/9  (c) 2\/7  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o. Let c be -2 + 4 - (3 - 3). Let k(v) = -v**2 + 0*v**2 + 0*v**c + 3*v**2. What is z(k(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)\/(sqrt(80)\/(-3*sqrt(10))))\/((sqrt(99) - (sqrt(99) + -2*sqrt(99)) - sqrt(99))\/sqrt(11) - sqrt(576)*1).\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(720) + 1)**2 + 4.\nAnswer: -1438 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + r + 2146 = 0, 3*a + 2*r + 2147 = 6*a. Let j = -538 + 603. Calculate the greatest common factor of j and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 4203973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242216?\nAnswer: 2, 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a - 3*a - a + 0*a. Let u(p) = -28*p**2 - 119 + 10*p**2 + 9*p**2 + 8*p**2. What is u(c(h))?\nAnswer: -4*h**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*s**3 - 690002*s**2 - 83217176*s?\nAnswer: 54*s - 1380004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4 = 28. Suppose -345 = -s*l + 239. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**2\/5 - 773837*g\/5 - 773836\/5 = 0.\nAnswer: -773836, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1151086 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (296 + 51 + 17)*(-2 - 4 + 2 + (3 - 6 + 4)*(4 + 0 - 5))*(0*t + 2*t - 4*t)*(5 + 1 + 1) as g + c*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - 4)\/((-1)\/(-5)). Let s(d) = d**3 + 6*d**2 + 5*d + 2. Let b be s(u). Solve 2*y + b = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 + -56. Let i = -9 + 7. What is the closest to 4 in i, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 256717313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -5 + -4 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 984, 1995, 3018, 4059, 5124, 6219, 7350?\nAnswer: 8523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 32130, 39022, 45914?\n\"Answer: 6892*z + 25238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {m: 3, y: 17}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 10*o - 4*o)*(-2*o**3 + 6*o**3 + 3501*o**2 - 3468*o**2).\nAnswer: 36*o**4 + 297*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28998.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 - 211?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 2)*(-m + 3*m + 0*m)*(18 + 3*m - 18).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30687 + 101294. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 16.4. Let u = -4177 + 12530\/3. Let h = 27\/2 + -14. Which is the nearest to h?  (a) k  (b) u  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -9061250, -18122533, -27183848, -36245195, -45306574?\n\"Answer: -16*n**2 - 9061235*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(119)\/sqrt(112).\nAnswer: 1 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12966 - -13189. Solve -o*r = -233*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 1)*(-46 + 14 - 21)*(10*m - 1 + 1 - 2*m).\nAnswer: -1272*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -328328 divided by 52\nAnswer: -6314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 2  (b) 0.3  (c) -2\/3  (d) -1  (e) 5  (f) 2386\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 3*o**2 - 4*o + 1. Let z be (-2)\/(1 + (-1)\/2). Let x be n(z). Suppose -4*b = -2*g - 0*g - 8, 2*g - 28 = -5*b. Sort x, b, 0 in descending order.\nAnswer: b, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 + -0.13. Let y = 0.02762 - 49.02762. What is the second smallest value in t, 0.2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2 + 173698*m - 7542748801 = 0.\nAnswer: 86849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5806691, -5806688, -5806683, -5806676, -5806667, -5806656, -5806643?\n\"Answer: q**2 - 5806692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 17, q: 3}. Give prob of sequence mqq.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 20985368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5130274*-3\nAnswer: 15390822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 4*m - 145, 3*t = 4*m + 6*t - 143. Suppose -4*s - 52 = -3*j, j - 4*s = 12 + 8. What is the smallest common multiple of 10\/m - (-108)\/14 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 3*u**3 + 1650*u**2 + 206277*u + 204630 = 0.\nAnswer: -359, -190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 10 - -2) + 81 + -86\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4078*m**3 + 36284*m**2 + 3762*m.\nAnswer: -2*m*(m - 9)*(2039*m + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3035712398 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 53275, 5?\nAnswer: 53275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 - 36. Let m(p) = -p**3 - 43*p**2 + 8*p - 1367. Let n be m(-44). Let d = c + n. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 10:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40439946 divided by -13479982.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 260916599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 13*v**3 - 4 - 9*v**3 to the form b*v**3 + q*v**2 + d + w*v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - 4. Let l(f) = 16717*f**2. Calculate m(l(v)).\nAnswer: -50151*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 5, 2*a - 5*u = 3*a - 13105. What is a rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 6*h**2 - 6*h + 7. Let l be o(-5). Suppose 2*b - 2*t - 2 = 0, -4*b = -0*t - 5*t. Find the common denominator of -43\/7 and 3\/b*248\/l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 167 = s + 174. Let v be (((-48)\/(-7))\/(-4))\/(2\/s). Solve 5*n + 4*i = -45, -v*i + 2*i = 4*n + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1045 - -961. Which is the third biggest value?  (a) g  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 - 13c?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00544 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*s + 337 + 7 + 736 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + 2*h + 2. Calculate o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, z: 15}. Give prob of sequence zzoo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1529 - -1537. Let j(x) = -10*x**2 + 1. Let d be j(-1). Let f = 15 + d. What is the highest common divisor of c and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/(234\/60)*(-117)\/(-5). Are g and 75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b**4 - 5*b**3 - 312*b**2 + 2 wrt b?\nAnswer: -24*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = 5*w + 4*n, 0 = 25*w - 22*w - 5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7084 is divided by 765.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -0.1  (c) 0.11  (d) -0.5  (e) 536  (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.711 * -0.1425.\nAnswer: 0.2438175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -9\/2*u**2 + 8*u + 4\/3*u**3 + 0. Find the first derivative of o(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3620*i + 47962 + 49778 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17666666.\nAnswer: 2, 311, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**3 + 37248605*r**2 + 69372947346600*r + 69372910098000 = 0 for r.\nAnswer: -3724860, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 7 = 4. Let w(j) = -j**3 - 3*j**2 - 2*j. Let k be w(z). Let f(t) = t**3 - 5*t**2 - 7*t + 6. Let l be f(k). Is -2\/5 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43 + -20?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 107 + -123 - (-12 + 3094\/(-765))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9971995*l - 6267 wrt l?\nAnswer: -9971995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -15*q**3\/2 - 11*q**2\/2 - 50*q - 16. Let g(a) be the first derivative of f(a). Find the first derivative of g(t) wrt t.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1302302023 (base 4) to base 15\nAnswer: 9448a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111111000100 + 0?\nAnswer: 10111111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.018157283 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 238 and 158.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 176*x**2 + 2511*x + 181*x**2 - 799*x - 529*x**2 + 174*x**2 as z + w*x**2 + n*x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -221\/3 + 73. Which is the third biggest value?  (a) 5  (b) v  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5847, 23360, 52499, 93222, 145487, 209252, 284475, 371114?\n\"Answer: -7*i**3 + 5855*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j - j**3 - 3*j - 1 - 18*j**2 + 11 + 19*j**2 - j. Give s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14 - 5)*(2 + -1). Suppose g - 2*m = 3*g - 6, 3*m = -g + b. Let n = 0.2 - 0.25. What is the third smallest value in g, -0.5, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -12.9?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = x + 32. Let i(d) = d + 9. Let h be i(x). Solve -r = 5*b - 9, 0 = 3*r - 4*r + 5*b - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68072 is divided by 967.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 30179269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1757\/9 - 195. Which is the closest to 4?  (a) 5  (b) y  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6688 and 1232.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 99, 490, 1621, 3864, 7591, 13174, 20985, 31396?\n\"Answer: 62*x**3 - 2*x**2 - 37*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1245 and 210390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 10*n + 1. Let t be c(2). Suppose -2*k = -k - t. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5056*i + 107647 + 372673 = 0 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/11298648 and -87\/1022.\nAnswer: 79090536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 93*5\/(-60)*-4. Solve c*v + 27 = 40*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269172120?\nAnswer: 2, 3, 5, 7, 137, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 6*s**2 - 8*s - 27. Let n be o(-8). Let k = 121 + n. Is k\/(-80) + (-379)\/(-8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1967*z**5 - 1393*z**2 + 1 wrt z?\nAnswer: -118020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*g = -3*o + 95, 0 = -2346*o + 2344*o + 5*g - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 17*m + 5. Let s be t(17). Let j be (30\/s)\/6 - -3. Calculate the highest common factor of j and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2210000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of m**6\/200 + m**5\/50 - m**4\/10 - 4*m**3\/5 + 5*m**2. Find s such that f(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2992\/(-12))\/((-2)\/12). Suppose -2*s - 3*f + 1009 = 0, s + f = -2*s + c. Suppose s = 3*w + 4*w. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39.945 + -0.055. Let f = d - -40.00405. Round f to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/5)\/h**4*h\/(h*h**(1\/3))*h**(-4) assuming h is positive.\nAnswer: h**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 98 = 4*n - 6*o, -4*n + 96 = -4*o. Let j = -26 + n. What are the prime factors of (3 + (-158)\/j)*2?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 7*n**2 + 7*n - 10. Let u be r(-8). Let a be u*(-2)\/4 - (-26)\/(-52). Let h = 84 - 59. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2166*c + 483*c - 11 - 179.\nAnswer: 2649*c - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.543684 minutes to microseconds.\nAnswer: 512621040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 7. Solve v - 4 = -b*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2965549, -2965544, -2965553, -2965582, -2965637?\n\"Answer: -l**3 - l**2 + 15*l - 2965562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64766031.\nAnswer: 3, 11, 521, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -338858652*o**3 - 140710826*o wrt o.\nAnswer: -2033151912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5534143509.\nAnswer: 3, 19, 2113, 45949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3621978655.65297 - -1411.65297. Let g = x + 3621977020.9999901. Let u = -223 - g. What is u rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10020222021022 (base 3) in base 5?\nAnswer: -420402242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -62\/3 + 21. Let x be (-3)\/(9\/(-11)) - (-3 + 6). What is the closest to x in 0, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - v + 240 = 0. Let x be (v\/(-8))\/((-1)\/(-2)). Let t = x - 22. Is -7 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a - 17 - 5*a + 13 + 8*a**2 - 10*a**2.\nAnswer: -2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 7 + 3 = 0. Let r be ((-2)\/(-6)*-3)\/(a\/4). Sort r, -11, -4.\nAnswer: -11, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*g**5 + 11967*g**4 + g**3 - 101*g**2 - 689 wrt g?\nAnswer: 480*g**2 + 287208*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 30b320?\nAnswer: -30b326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50486996 and 9415?\nAnswer: 252434980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**3 + 10*u**2 + 9*u - 2. Give l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 4*q - 3. Let d be n(5). What is the third derivative of 0*m**2 + m**2 - 2*m**3 + m**d wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 1)*(0*g - g + 4*g) + 4*g - g - 4*g - 3516*g - 1769*g + 119*g in the form b*g + f and give b.\nAnswer: -5170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 413 (base 5) to base 8\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (4\/90*10)\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/20310 and -13\/12009980.\nAnswer: 36029940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8450444 divided by -932\nAnswer: 9067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352*c + 349*c = -4*d - 9, -3*d = 6*c - 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -326, -642, -958, -1274?\n\"Answer: -316*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 7*i**2 + 2*i + 2. Let n be l(-1). Let m be n\/42 + 11\/6. Suppose m*j = -j + 78. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3 + 20*f + 21*f - 38*f. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 22 = 5*o, 0 = 5*g + o + 8275 - 8271 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003992 rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a + 5*a + 2 - 3*a - 4*a. Let t(f) = -f**2 - 6*f - 3. Let n be t(-5). Let i be n\/2*3\/1. Determine q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -3\/40*r**5 - r + 21 - 3\/2*r**3 + 7\/8*r**4 + 0*r**2. Determine z, given that j(z) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -85. Let w = 74.3 + r. Let j = w + -6.299942. What is j rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 2 + -1 + (-4 - (-304)\/4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -3 - (2 + 0). Let w = p + 9. Suppose 11 - 96 = -5*g - w*k, -63 = -2*g + 5*k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -978789968*k - 1589331 wrt k.\nAnswer: -978789968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25e + -1aa?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 25. Let x = 10 + j. Let c(v) = -v**2. What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -10, 5*q - 3*q = -3*i + 40. Calculate the greatest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/(-4) + (1793631\/84 - -10)?\nAnswer: 2, 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -3*r. Let w(h) = 0*h**2 + 6 + r - 2*h**2. Let u(z) = -2*z**2 + 7. What is -4*u(y) + 5*w(y)?\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**2 - 508*a - 229852. Give y(489).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 3243?\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 7*v**2 + 3. Let z be j(7). What is the remainder when 3 is divided by 6\/(z - (4 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -70, 3, -6\/5, -0.3, -5\/17, -1.\nAnswer: -70, -6\/5, -1, -0.3, -5\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 28, 95, 204, 355?\n\"Answer: 21*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 15*d - 63. Give f(20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 142 - 29. List the prime factors of l.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.032 - 0.232. Sort 4\/5, m, -3\/20 in decreasing order.\nAnswer: 4\/5, -3\/20, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -6. Suppose -19 = -r*h - 3*h - j, -4*h = -j - 17. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33602 + 23509 = -487*f + 13281 for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -230 + 273. Which is smaller: h or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1377, -5413, -11899, -20637, -31429, -44077, -58383, -74149?\n\"Answer: 33*p**3 - 1423*p**2 + 2*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 54.1, -2\/5, -5, 2, 5 in increasing order.\nAnswer: -5, -2, -2\/5, 2, 5, 54.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*f**5 - 11*f**4*n + f*n - 75*f - 2*n wrt f?\nAnswer: -340*f**3 - 132*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 113*m - 189. Calculate the remainder when h(4) is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*c + 3*d, 0 = 24*c - 26*c + 3*d + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5251, 1\/4, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 + -74?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -1. Suppose 2*x = 16 - 6. Suppose 5*y = -5*l + 35, 4*y - 15 = 3*y - x*l. Sort -6, -3, n, y.\nAnswer: -6, n, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**3 + 5208*c - 2604*c - 2607*c - 227*c**2.\nAnswer: -c**3 - 227*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 47040*g*n + 15*g + 8 wrt n.\nAnswer: 47040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18820967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 24992*s + 3553397. Calculate r(-143).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1321, -2757, -4323, -6025, -7869?\n\"Answer: -y**3 - 59*y**2 - 1252*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.7?  (a) -28  (b) 0.2  (c) 3\/8  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1858, -0.0537773 in increasing order.\nAnswer: -0.4, -0.0537773, 1858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 10:48 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 1\/12*o**4 + 0*o + 0 + 2\/3*o**3 - 29*o**2. Let h(m) = 2*m. Determine h(n(g)).\nAnswer: 4*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1670 and 170170.\nAnswer: 28418390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26508 and 1717380.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*n - 22, -38*x = -34*x + n + 49 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4354.05 + -4345. Round u to 1 dp.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2011 + -2006. Let s = -127 + 127.1. Which is the third smallest value?  (a) s  (b) 0.3  (c) v  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence anaa when four letters picked without replacement from aaanaaanaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45758 and 1336.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 93*y**2 + 16*y + 5. Let x(g) = -17*g**2 - 3*g - 1. Let l(j) = -2*u(j) - 11*x(j). Let t(f) = -19*f**2 - 8*f - 4. Give -6*l(c) - t(c).\nAnswer: 13*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of f**7\/1260 + f**6\/120 - f**5\/15 + 2*f**4 + 44*f. Let j(p) be the third derivative of o(p). Is 33 a factor of j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 5*s**2 + 5*s - 2. Let c be p(-2). Suppose c = -0*g - 0*g - 5*g. Let r = 0 - 0. Solve r*n - n = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 9*s - 9*s + 115 = -3*s, -74*v + 73*v + 12*s - 77 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 1, f: 2, y: 4, v: 7, a: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + d - 24 + 3 = 0, -5*d = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 12, n: 1, v: 7}. Give prob of sequence np.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 27011  (b) -12  (c) -0.5  (d) -11\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 + 0.1. Which is the nearest to 1?  (a) q  (b) -2\/3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/7)\/((-44)\/14). Let p = w + -49\/110. Is 0 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, j: 3, g: 5, f: 4}. What is prob of sequence gpjf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 7*o - 7. What is m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/33 and 61\/327.\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18039251, 18039252, 18039253, 18039254?\nAnswer: 18039255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 0.5  (c) 41  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a0267 + 2b8?\nAnswer: -19dd8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 443551 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 (base 16) in base 7?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*x, -k - x = 3*x + 13. Suppose k*s = -t + 23, 82 = -0*t + 3*t - 4*s. Calculate the remainder when t is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.05, -0.1, -0.21, -1, 0.099?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -36\/265 and -17\/20.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 20 = -5*i. Calculate the greatest common factor of 490 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -g + 1. Suppose g*f - 128 = -0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 + 63. Let g be 8\/s - (-2 - 29\/(-2)). Let v = g + 12. Solve v = 6*n - 4*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 16*o**3\/3 - 2008. Let k(y) = 40*y. Determine k(d(l)).\nAnswer: 640*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 12*v**2 - 5*v. Let f(b) = -2*b**3 + 23*b**2 - 10*b. Let s(x) = 6*f(x) - 11*j(x). Calculate s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 11 - -11 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 4*d - 41 + 1, -3*d = -2*z. Let r be ((-6)\/10)\/(z\/(-390)). Suppose 0 = 4*x - x - r. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(512)*2) - sqrt(14)\/(sqrt(7) - 2*sqrt(28)\/sqrt(4)).\nAnswer: 17*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**5 - 8514*c**4 - 211886*c**3 - 1210014*c**2 + 1430416*c = 0. Calculate c.\nAnswer: -4232, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 12*c**4 - c**3 - 5*c**2. Let g(y) = 11*y**4 - 4*y**2. Let s be 4\/(8\/9) - 5\/10. Let t(x) = s*w(x) - 5*g(x). What is u in t(u) = 0?\nAnswer: -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 12:12 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1921357 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 374069031 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24524 + -24515. Solve c = -4*q + 41 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -6*j + 2*j - 2*f, -4*f - 12 = 0. Let k be 1114\/(-252) + (-4)\/j. Let v = k + 3257\/700. Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 375204419.\nAnswer: 19, 19747601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/12 + 60\/(-3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 m when four letters picked without replacement from {m: 11, p: 2, f: 6}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -427 = 4*j + 761. Calculate the common denominator of 14\/(-63) + (-1443)\/j and 51\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 770632093.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 + 24. Let x be (-1)\/(-4) + (-44)\/h. Suppose -5*u + 8 = -x*u. Solve 5 = u*j - 3*n, 6*j - 5*n - 10 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 7*v + 5. Does 5 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 33189, 65980, 98771, 131562, 164353, 197144?\n\"Answer: 32791*i + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1107 is divided by 353.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**3 - 4*o**3 + 4*o**3 + (-14*o + 0*o + 7*o)*(2 - 2 - 2*o**2) + (4*o - 2*o - o)*(3*o + 2*o**2 - 3*o).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4659910 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1996*r**2*x**2 - 2*r**2*x + r*x**2 - 119*x**2 + 1922091*x wrt x.\nAnswer: -3992*r**2 + 2*r - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/30)\/((-21)\/((-126)\/4)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, b: 2, q: 2, h: 2, y: 5, l: 4}. Give prob of sequence ho.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 divided by -6039795?\nAnswer: -29\/6039795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -307, -306, -305?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -1\/4*r**4 - 3\/20*r**5 + 2*r**3 + 0*r + 0 + 1\/120*r**6 + 4*r**2. What is the units digit of m(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192124 is divided by 10090.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3*(2 + (sqrt(5) - (sqrt(5) - sqrt(35)\/sqrt(7))*-2) + (sqrt(5) - (sqrt(5) + -4 + (sqrt(55)\/sqrt(11))**2)) + sqrt(5)).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*m = -12, -m + 7 + 18 = -3*a. Suppose -t + 16 = -0*t - 5*o, 4*t = -2*o + 42. Let u = a + t. Solve 3*l + u + 0 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 12:07 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2550 + 2635. Which is smaller: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1524510 - -2?\nAnswer: -1524505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -52bd - 4?\nAnswer: -52c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3432\/416)\/((-6)\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/50 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56361 (base 14) in base 12?\nAnswer: a10a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h. Let r(b) be the third derivative of 3*b**4\/4 + 24*b**2 + 2. Give q(r(n)).\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -16. Suppose -16 = -6*r + 2*r, t*r - 9 = -3*n. Let v be 3 + 4*3 - n. Solve 0 = -2*z - 2*z - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -452981 - 332720 = -97*y - 10*y. List the prime factors of y.\nAnswer: 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6720 = 95*f + 5295 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6831822 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 2831081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 3, -1\/2477458, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 154 - 68 + 73*g**3 - 74*g**3 + 35*g + 36*g**2. Suppose 3*m - 91 = -m + 5*n, -5*m + 89 = 2*n. Calculate the remainder when m is divided by t(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**3\/2 + 54*z**2 - 992*z = 0 for z.\nAnswer: -124, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*s = -z + 72, 5*z - 15 = s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 1 = f, -i - 3*f + 1112 = 1109 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 3*w - 906 - 1782, 0 = j - w - 671. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7504 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 8:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*z - 8*z + 19*z + 14 in the form g + t*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i**2 + 0*i**2 - 4*i**3 + (-7 - 14 + 2)*(-i**3 - i**2 - 1 - 65*i + 65*i) to the form s + m*i**2 + a*i + y*i**3 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/12)\/(4200\/360).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 563399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 755626.\nAnswer: 2, 67, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 254 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -16, -7, 14, 53, 116, 209, 338?\n\"Answer: n**3 + 2*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 3*c. Let q be 0 + 3\/(-6)*0. Let s be (-1)\/(-1)*(q - 2). Let a(d) = -d**2 + 2*d. Determine s*y(x) + 3*a(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*q**2*r**4 - 3*q**2*r**2 + 2*q**2 - 35*q*r**6 - q*r**2 - 383*q*r - 7*r**3 wrt r.\nAnswer: -408*q**2*r - 4200*q*r**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 161 = 2*b + 2*h, 43 = b - 4*h. Calculate the remainder when b is divided by 22\/4*(-1)\/(6\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 50\/18 - (-2)\/9. Suppose -m = l + l - 22, -56 = -r*m - l. What is the smallest common multiple of m and (-2)\/(((-9)\/(-12))\/(-3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1478, -2113, -3754, -6881, -11974, -19513, -29978, -43849?\nAnswer: -61606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of -a**5\/30 + 5*a**4\/24 - 4*a**3\/3 - 129*a**2. Let q(n) = -n**2 - 3 - n - 1 + 3*n. Let t(c) = -6*j(c) + 13*q(c). Factor t(b).\nAnswer: -(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 1:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 110 or 1884\/17?\nAnswer: 1884\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (181 - 73 - 45 - 11078*v - 63 + 995*v)*(-3 + 0 + 0).\nAnswer: 30249*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-302)\/(-60) + 140\/840)*(3 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/2)\/(12 - 12 - 5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(168) + 1*sqrt(168) - sqrt(168))*1)\/(sqrt(32)\/sqrt(4)*2))\/((sqrt(2800)*-2)\/(sqrt(48)\/(-1*sqrt(12)))).\nAnswer: sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2. Let m(o) = -83*o**2. Give m(c(j)).\nAnswer: -83*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.3849456 - 0.5?\nAnswer: 39.8849456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 316 - 216. Suppose 5*r - p = -0*r. What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39 and 54405.\nAnswer: 54405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -6*c**3 - 29*c**2 - 26*c - 25. Is 174 a factor of o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280903064 is divided by 395.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5858, -11916, -17896, -23798, -29622, -35368, -41036?\nAnswer: -46626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4 + 0)\/(-20 + -2). Let j = 0.02 + 0.08. Which is the nearest to j?  (a) h  (b) -1\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of -d**8\/6720 - d**7\/504 - d**6\/240 + 3*d**5\/40 + d**4\/3 + 6*d. Let r(p) be the third derivative of n(p). Factor r(j).\nAnswer: -(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11701409 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -679 - -214. Let v = m + 464.96. Which is smaller: -37 or v?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 12 = 12. Suppose -3*s = f, -2*d - 7 = -3*d + 2*s. Factor 4\/9*n - 8\/9*n**d + 2\/9*n**2 - 2\/3*n**4 + 0.\nAnswer: -2*n*(n + 1)**2*(3*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 571, 2014, 4899, 9724, 16987, 27186, 40819?\nAnswer: 58384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6517 - 2567 = -6*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**3 + 5*k**2 + 4*k - 4. Let p(y) = 3*y**3 + 4*y**2 + 3*y - 3. Let q = 43 + -46. What is q*n(s) + 4*p(s)?\nAnswer: 3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1754*i + 638. Let t be n(2). Calculate the highest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -14. Solve 5*f + w = -5*v + 29, 5*v = -3*f + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32422.37ml to litres.\nAnswer: 32.42237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apsasassssssaspasss. Give prob of sequence sas.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is the tens digit of 893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5241.99997367 + 5242. What is i rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.2 times -347?\nAnswer: -2845.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -216*p + 672. Calculate a(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1100010111 (base 2) to base 6\nAnswer: -3355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82626, -162476, -242326, -322176, -402026?\nAnswer: -481876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/189 and 17\/12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1121 + 202212011?\nAnswer: 202220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -35 and 923327844.\nAnswer: 923327809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2 + 47*v = 0. Calculate v.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33714 - -33702. Which is the nearest to m?  (a) 0.4  (b) 43  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/3)*p\/(p\/(p*(p*p*p*p\/(p*p\/(p*p*p\/p**(3\/7)*p))*p*p)\/p*p)))\/(((p\/(p**0*p))\/p)\/p**(-4\/9)) assuming p is positive.\nAnswer: p**(617\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 11823*h**3 - 14*h**2 + 238. Let c(n) = n**3 - n**2 + 17. Determine 14*c(b) - l(b).\nAnswer: -11809*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20039442, -20039435, -20039428?\nAnswer: -20039421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of o**7\/10080 + o**6\/960 + o**5\/240 - 5*o**4\/6 - 10*o. Let t(j) be the third derivative of w(j). Factor t(n).\nAnswer: (n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206741\/2 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 809*i**2 - 1664*i**2 + 811*i**2.\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 4:38 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1289306 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: -0.3957 * -2\nAnswer: 0.7914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*o\/(o\/o**(2\/33)*o))\/(o*o\/(o\/(o*o\/(o\/((((o*o\/(o\/(o\/((o*o**(1\/18))\/o*o))))\/o)\/o)\/o))*o))) assuming o is positive.\nAnswer: o**(221\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*b + 10, 0 = -2*t + 5*b + 29. Let l(g) = 2*g**2 - 13*g + 2. Let c(k) = 2*k**2 - 13*k + 3. Calculate t*c(f) - 3*l(f).\nAnswer: -2*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 33\/(-88)*(-5)\/3. Let a = 3\/8 - i. Sort a, 4\/13, 3 in descending order.\nAnswer: 3, 4\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9*(-4)\/(-36))\/(2\/2098). Let y = f - 687. List the prime factors of y.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 2*m**6\/15 - 13*m**2 - 22*m - 5. Let u(k) be the first derivative of t(k). What is the first derivative of u(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26272 + -92964. Let g = 67108.27 + z. Let m = 418 - g. What is m rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 + 24. Let a(g) = g**2 - 5*g. Let h be a(3). Let y be 2\/(h\/(-3))*-2. Put y, k, 3 in descending order.\nAnswer: 3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 13*b**2 + 15*b - 27. Let c be u(12). Solve c*x - 11*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 - -102301220231?\nAnswer: 102301220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from qdqufduuudauaduuq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 859 a factor of 263143322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + 0)*3.\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -719 + 714. Is w less than -47\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -5. Let f = 15 + u. Let n = 21.4 - 21. Which is the closest to f?  (a) 4  (b) 1\/5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 13*w**3 - 2*w**2 + 5*w + 6. Let u(t) = 30*t**3 - 5*t**2 + 11*t + 13. Let s(r) = -7*j(r) + 3*u(r). Let z = 5 + -7. What is s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*g - 15 - 42 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04984 * 1.\nAnswer: -0.04984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21511?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -307 or -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/49  (b) 5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1233*b = 1230*b + 562530000. Round b to the nearest one million.\nAnswer: 188000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 10 = d - j, -5*d + j = 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11873?\nAnswer: 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29519*f - 7972*f + 7531*f.\nAnswer: 29078*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 5*o + 8. Let m be q(6). Let p = 0.0227 + 0.3773. What is the closest to m in p, -2, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccccccccccccchhccch. What is prob of sequence hchh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 16 = -h, 1128*h + 4*b = 1132*h + 88 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/1451299 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12420567 rounded to three decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 13081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -83090077*c**4 + 12765525*c**2 - 2*c?\nAnswer: -1994161848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 237991764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 19834529 divided by 1803139\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 16*t**2 - 371*t - 1255. Let f be l(-3). Determine s, given that -30\/7*s**2 + 2\/7*s**3 + 4\/7 + f*s + 10\/7*s**4 = 0.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117890595, 235781188, 353671781, 471562374, 589452967?\nAnswer: 707343560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of 0 + 1\/60*g**6 + 0*g + 0*g**3 + 10*g**2 - 1\/3*g**4 + 0*g**5. Find the second derivative of d(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 0 + 39\/20*f**5 + 0*f**4 + 163*f**2 + 0*f + 51\/2*f**3. Find the first derivative of t(a) wrt a.\nAnswer: 234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 5\/7, -1\/3, -8153, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 117082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-12)*2 - 1. Let x = 588 - 507. Let d be 3*12\/(-54)*x\/36. What is the fourth smallest value in 0.1, 8, j, d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 1 = -4. Put p, 5, 2, -5 in increasing order.\nAnswer: -5, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 305, 4, -4, -3, 0.\nAnswer: -4, -3, 0, 4, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 102935539 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 27\/(-4) + 2 + 5. Let u = 1.1 - 0.1. Which is the nearest to 0.2?  (a) g  (b) u  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4281217 or 4281541?\nAnswer: 4281217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*j**4 + 2*j**2 - 20*j - 5471 with respect to j.\nAnswer: -32*j**3 + 4*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -16677 bigger than -16551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 796540958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of 19*i**3\/6 - 47*i**2 + i - 31. Differentiate u(h) wrt h.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from avvvavaavava. What is prob of picking 1 v and 3 a?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 24 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 326*k**2 - 117*k**2 - 97*k**2 + 5 - 111*k**2.\nAnswer: k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630137869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 377*g**2 - 1115*g**2 - 1265*g**2 - 437*g**2 + 215*g**2.\nAnswer: -2225*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4, -83, -302, -733, -1448, -2519?\n\"Answer: -12*m**3 + 2*m**2 - m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 860 - 148. Suppose -w = f + 9288. Round w to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20193\/61 - -331. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 8 = 1. Let n(k) = 65*k - 1409. Let f be n(22). What is the highest common factor of u and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4443823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 189 - 81. Let q be -3 + 4\/v*87. Sort -0.1, q, 4 in increasing order.\nAnswer: -0.1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2. Let k be 48\/7 + (-12)\/14 + -6. Let r(v) be the second derivative of 1\/2*v**3 + 16*v + 0 + k*v**2. What is r(z(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10765.170947377 and 0.5?\nAnswer: 10764.670947377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 5 = -1. Is 6 a factor of 8\/20*(27 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*p + 2*p**4 - 1 + 6*p**2 - 31*p**2 + 7*p**2 + 19*p**2 to o*p**4 + y*p + n*p**2 + g*p**3 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.95 in -0.5, 25, -48, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:45 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 6:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {c: 12, g: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18959*b**3*c*k - 699*b**3*c - 2*b**3*k - 3*b**2*c*k + b**2*k - 4*b*k + 59*b + k + 15127 wrt b?\nAnswer: -113754*c*k - 4194*c - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 612 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10105124 - 2?\nAnswer: 10105122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 3*w = -11, -4*f - 2*w - 168 + 154 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.13 + 0.2. Let d = j - 8.07. Let h = d - -4. Which is the third biggest value?  (a) -1\/2  (b) h  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4 - 3)*(-6 + 6 - 2*f) + (-2 + 3 - 2)*(89*f - 41*f - 41*f + 6) to the form r*f + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 11:42 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 2*b, -1 = -2*j + 3. Solve -3*d + 6 = 4*p, -7 = p - 2*p + b*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 300 (base 4) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*i**2*w**4 - 265*i**2 - 2*w**4 wrt w.\nAnswer: 8*i**2*w**3 - 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 286757997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 5\/4*p**4 - 1 - p - 1\/2*p**2 - 1\/3*p**3. Determine w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l**3 - 4*l**3 - 284 - 52095*l + 52094*l to the form p*l**3 + w + n*l**2 + h*l and give w.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65930882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*m + 34. Let j = m + -5. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21088 is divided by 555.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 872 + -691. What is the remainder when p is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/25792359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -293.39 and -157022520.\nAnswer: -157022813.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-988268)\/6)\/(98\/(-735)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 12 - 4 = -2*s, 5*k - 60 = 5*s. Calculate the greatest common divisor of k and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -6*q. Let y be (-19)\/(950\/20)*3*(-100)\/(-1464). Are y and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, -21311, -2\/9 in increasing order.\nAnswer: -21311, -4\/9, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 539, 597, 211, -619, -1893, -3611, -5773?\n\"Answer: -222*b**2 + 724*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2. Let a(o) be the third derivative of -o**6\/120 - 7*o**3\/6 + 11*o**2. Let s(y) be the first derivative of a(y). What is n(s(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -22965466.6655?\nAnswer: 22965463.6655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.32165 days in milliseconds?\nAnswer: 459790560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139580805 divided by -1533855.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 + 80. Let o = -3 - -5. Suppose 4*x - 2*k - 16 = 52, -o*k - b = -2*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0228581274 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23484069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 0*s + 9. Let m be s + (0 - (-4)\/(-2)). Let f be (-3)\/(-2) + (-27)\/(-54). Sort 5, f, m in decreasing order.\nAnswer: 5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from etvttetvn. Give prob of sequence vv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 152475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/54)\/(147\/42)*28\/(-8)*-1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -164\/9 + 166\/9. What is the closest to -2\/5 in v, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12817*g*h + 104*g + 1793*h + 707 with respect to g.\nAnswer: 12817*h + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -261, -262, -263, -264, -265, -266?\n\"Answer: -g - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 612174 (base 8) to base 3\nAnswer: 101020220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/18 and (-12)\/(-12)*166\/40?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) 8\/9  (c) 8  (d) 2  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of g**4\/24 - 2*g**2. Let q(y) = y. Let b(x) = 3*x. Let s(c) = -4*b(c) + 11*q(c). What is m(s(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 36 - 30 = 3*r, 4*x + 12 = -r. Let c be r*(-3 - (-15)\/6). Let u = 24 - c. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(4\/192) - 3. Suppose -3*v - s = c - 3*c, 90 = 5*c - 3*v. Solve c = -0*o + 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110120 (base 3) to base 4.\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2027*g - 5320 + 3610 = 12479 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18738, -18014, -17290, -16566, -15842?\nAnswer: -15118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/7 and -59\/1344?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 p, and 1 m when four letters picked without replacement from spbyybpypypmbbps?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + w = -8, 0 = -22*d + 18*d - 2*w - 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2210*h - 2205*h - 13 = v, 36 = 2*h + 4*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-10)\/4)\/(5\/(-10)))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/10912 and -7\/43028.\nAnswer: 3786464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2. Let t(f) be the first derivative of 2\/3*f**3 + 0*f + 0*f**2 - 3. Give w(t(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from juoouojumjooummomj. What is prob of picking 1 u, 2 o, and 1 m?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, o: 1}. What is prob of picking 1 o and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 134 + 29 = 0. Suppose 0*l = -3*l - 3*o + h, 2 = 2*l - 2*o. Suppose 0 = 5*j - 4*y - y - 30, 2*j - l*y - 14 = 0. Solve 5*u + 5 = -j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 - 0.26. Let y = -9955 - -9957. Which is the closest to q?  (a) -0.5  (b) y  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1720 + 941 + 7*z + 1091 to the form n*z + o and give o.\nAnswer: 3752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51 (base 6) to base 4.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4711 - -4714. Solve -5*a - 5*y + 20 = 0, 3*y + p = 4*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fl when two letters picked without replacement from pfglsdp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2 - 95*h - 262. Let p be t(50). Put p, -4, -22, 1 in descending order.\nAnswer: 1, -4, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8525, -17039, -25569, -34115?\n\"Answer: -8*q**2 - 8490*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - (15 + -33) - 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -20  (b) -0.11  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3000505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of -4*h**5\/5 - 2*h**4 + 4*h**3\/3 + 4*h**2 - 12. Factor z(o).\nAnswer: -4*o*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(78)*-1*5)\/(sqrt(150)*1) + 3 + (sqrt(117)\/sqrt(144) + 5*sqrt(208))**2.\nAnswer: -sqrt(13) + 85341\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (4 - 5 - 5) + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 8*y**2 - y + 10. Let k be s(8). Suppose -k*g + 229 = -27. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 12, -7 = 5*p + g - 4*g. Suppose -1 = -o + p. Suppose -k = o*w - 5*w + 126, -3*k = 0. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 97 - 106, 2*u + 4*q = -12. Let c = 1 - -1. Suppose 3*g - 3*a + 6 = 0, -4 = -c*a - u*a. Solve -y = 1, 4*j + g = -y - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqdd when four letters picked without replacement from {d: 11, q: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/241255 and -85\/226.\nAnswer: 482510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*s - 22*s = -2*l - 6, -5*s = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*u + 436 = 184 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 2)*(-23 + 17 - 11 + 3 - 2 + 1 + (1 - 1 - 2)*(5 + 0 - 3))*(-3*x - 3*x + x)*(-1 - 2 + 1) + 0*x + 2*x - 4*x.\nAnswer: 188*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -25*b**3 + 104*b**2 + 236*b - 8. Let u(w) = 44*w**3 - 182*w**2 - 420*w + 14. What is 16*g(f) + 9*u(f)?\nAnswer: -4*f**3 + 26*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r - r + 57 = 0. Let p be ((-3)\/4)\/r + (-1207)\/(-284). Suppose h + h = 4. Sort h, 3, -3, p in descending order.\nAnswer: p, 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -77404520.66 to the nearest 1000.\nAnswer: -77405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-760)\/6*4\/((-16)\/6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - -14506354?\nAnswer: 14506360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 197832336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 148.03 and 0.1?\nAnswer: 14.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*v**2 - 41*v**2 + 120*v**2 + 66*v - 41*v**2.\nAnswer: 3*v**2 + 66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*z - 23 = 2*h, 0 = h - 4*z + 22. Let n = h + 46. Calculate the greatest common factor of 160 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -47 + (17 - -19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*i - 0*i - 4*x, -4*x - 16 = i. Suppose i = f + 2*f + 2*n - 196, 4*n = 4*f - 268. Let h = f - -23. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 18*p. Let j(m) = m. Let t(y) = -h(y) + 12*j(y). Let b(a) = -2*a. Give b(t(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 1) + (6 + 20 - 16 - 44).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1792*q - 6 + 795*q + 965*q.\nAnswer: -32*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*u + u + 144. Let o be (-6)\/(-24) + 2\/u*2. Solve -4*j - 2*a - 10 = o, 2*j - 3*a = -0*a + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-85)\/(-15) + -5 - 7\/15. What is the second smallest value in -29, 2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25120.899629 + -25121. Let z = -407.910371 - p. Let r = 411 + z. Round r to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1394255 is divided by 1375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 443?  (a) -0.4  (b) 1  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 116440, 116437, 116434, 116431, 116428, 116425?\nAnswer: 116422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 17*w**2 - 2*w + 1. Determine q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 353\/99 - 38\/11. Sort q, 0.3, -9 in descending order.\nAnswer: 0.3, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*h + 2372 = -1852 + 59 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 19*v**2 - v + 24. Let h be o(19). Suppose -8*a + 197 = -h*a - 4*n, -5*a - n + 359 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -30  (b) 4  (c) 0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 - -45. What is the remainder when 23 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, s: 8}. What is prob of sequence psps?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 89251\/305 - 1856\/61. Let f = p + -263. Let x = -15 + 17. Which is the closest to -1?  (a) f  (b) x  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1848, -3074, -4356, -5724, -7208, -8838, -10644, -12656?\nAnswer: -14904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -184 + -2?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7626 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 3:54 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*a**3 - a**2 - 89592*a + 904547 wrt a.\nAnswer: -24*a**2 - 2*a - 89592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 53 - (6 + (-1 - 2)). Suppose f - p = -4*f. Sort 2, -2, f in descending order.\nAnswer: f, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*q + 22*q - 28 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d + 2 + 13*d + 12*d + 22*d.\nAnswer: 33*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7334 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-1))\/((-160)\/32)*(-40)\/(-432).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 69\/2*p - 3\/2*p**2 = 0. What is p?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 89, 3, -87, -189 in ascending order.\nAnswer: -189, -87, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4527.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/11)\/x*x**4*x*x*x*x\/x**(-1\/4)*x*x**(2\/5)\/x assuming x is positive.\nAnswer: x**(1723\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7933.\nAnswer: 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/443 - 2680\/4873. What is the smallest value in -0.3, 0.38, 5\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 19 - 10*l + 19.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4492228 by 52.\nAnswer: -86389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**5 + 154*n**4 + 7489*n**3 + 120120*n**2 + 608400*n.\nAnswer: n*(n + 12)**2*(n + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3.6221617 - -1211\nAnswer: 1207.3778383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 7) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 45*m)*(3111*m - 3111*m - 81*m**2).\nAnswer: -3645*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1475756?\nAnswer: 2, 368939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1873\/2310 + -5\/462. Let d = -0.24 - 0.06. Let h = 0.2 - d. Which is the nearest to 0.1?  (a) h  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.02, -68, 2.617, -2, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 8\/15  (b) 1\/5  (c) 0.1  (d) -0.12  (e) -6  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-38)\/8)\/(121448\/(-3008)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(-3\/25)))\/k*k*k\/(k**(2\/11)\/k)*k*k*k*k*k**(-3\/10)*k*((k*k**(5\/21))\/k)\/k assuming k is positive.\nAnswer: k**(65099\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 94.\nAnswer: -7\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -1777327?\nAnswer: 1777323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-30)\/8*-2*(-2 - 0). Let k(o) = o**3 + 15*o**2 - 6*o + 12. Does 17 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + 594\/27 + 14\/4\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 273 divided by -5089.\nAnswer: -39\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -1\/2*x**4 + 0*x - 6 - 4\/3*x**3 + 0*x**2. Find the third derivative of m(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24510 - 2?\nAnswer: 24508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4*x - 80 = -0*x, z - 5*x = -28. Let b be (-15959998)\/(-6) - 6\/z. Round b to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19864, -19940, -20076, -20278, -20552, -20904, -21340, -21866?\nAnswer: -22488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14661.78 litres in millilitres?\nAnswer: 14661780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -68408, -137277, -206168, -275087, -344040, -413033, -482072?\n\"Answer: -m**3 - 5*m**2 - 68847*m + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -9*s**2 + 2*s**3 - 2 + 0*s**3 - s**3 - s + 3*s**2. Let u be a(6). Let k = 3 + u. Sort 0, 2, k in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3*(-1)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-2)*b\/b**10)**28)**(-4\/9) assuming b is positive.\nAnswer: b**(1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*-1 - sqrt(320))**2 + -1 + 5.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 0*s + 6. Let x = s - -2. Suppose 2*g - 86 = -2*m - x*g, -5*m + 212 = 4*g. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zof when three letters picked without replacement from {j: 3, f: 1, o: 5, z: 1, n: 3, v: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (252\/(-21) + (0 - -6)). Let g be 1\/(0\/(-2) - 1). Let d be (-1)\/(g - 6\/(-9)). Solve -o*w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 13584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 5*u + 6. Let m be t(-4). Let b be (-12)\/(-3) + m + -5. Let o be 3 - 2 - b\/1. Sort 4, 3, o in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -34*a**3 - a**2. Let d(r) = 2*r - 22. Let q be d(9). Let n be (2\/(-4))\/((-2)\/q). Is z(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*x - 13 = 3, 3*h + 4*x - 32 = 0. Factor -h*o**2 + 6*o**2 - 2*o**3 - 2*o**4 - 2*o**3.\nAnswer: -2*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/5*(-76)\/(-57)*-15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of 5*s**5 + 1 + 0*s + 4*s**2 - 12*s**3 + 15\/2*s**4. What is d in u(d) = 0?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of j**3\/6 + 11*j**2\/2 - 4*j. Let k(z) = -2*z**2 + 3*z + 6. Let n be k(2). Let v(b) = -2. Give n*t(m) + 22*v(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + 12. Let l be 0 + -3 + 54\/u. Is l >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - (-30)\/(-9))\/((-2)\/45). Let i(l) = 8 + l - w + 3 - 2*l + 5. Calculate i(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 323020395 to the nearest integer?\nAnswer: 17973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*f + 27*f - 18. Suppose -2*s + 4*l = -6*s + 28, 0 = 4*s + l - 34. Calculate the highest common divisor of s and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8484896 litres to millilitres.\nAnswer: 848.4896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c**(-4\/3))\/(c**(-1\/4)*c)**(2\/7) assuming c is positive.\nAnswer: c**(215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 24, 4, -42, -120, -236, -396, -606?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 - -7a?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 804102 and 4690774.\nAnswer: 5494876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60950 is divided by 324?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*g**2 + 129*g**2 - 77*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2 - 2)*(7*n - 7 + 2*n - 11*n)*(-3 + 0 + 4) as s*n + d and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/14)\/((-1260)\/(-735))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 3675008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from tixix?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 0 - (27 + -28 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in 5, -2\/5, -0.122?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3168, -11327, -24840, -43707, -67928?\n\"Answer: -2677*n**2 - 128*n - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y - 9. Let z be j(5). Let f = -4761 - -14281\/3. Which is the second biggest value?  (a) 0  (b) z  (c) 4  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 8*u - 11. Suppose 4*r + 36*y = 41*y - 34, -2*y = 5*r + 26. Let x be s(r). Solve -3*v + x = -11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37431\/8 - 4673. Find the common denominator of 101\/4 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*w**3 - 2512*w**2 + 1237*w**2 + 52*w**3 + 1275*w**2.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-218 - -269) + -81 + 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -50\/31 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 394*v**3 + 170*v**3 + 0 + 182*v**3.\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1844295238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70 - 8. Is (-31)\/q*(-2 + 1)*2722 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 1.34. Let m = q - 7.24. Round m to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12809 = 3*p - 73*p + 113539. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5276*y**2 + 5272*y**2 - 2*y**3 + 2*y**3 + 11*y**4 - 2*y + 2*y**3 to the form q*y**3 + d*y + o*y**2 + w*y**4 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 14*x - 5. Let a be z(5). Let m be (52\/a)\/(4\/10). Find d, given that d + 1 + 1\/4*d**m = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-4))\/(4\/8). Let i be 14\/g + 16\/(-24). Let a(j) = j**3 - 4*j + 4. What is the tens digit of a(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w - 5. Let z be a(-4). Let l = -2 + 4. Let u be (z*(3 - l))\/(-3). Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16274 + 16274.1374. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 67660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -89*m*u + 2797*m + 1107*u - 1 wrt u.\nAnswer: -89*m + 1107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-30)\/(-25))\/((-6)\/20). Let f = 5 + o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 42.01, 10 in ascending order.\nAnswer: -2\/9, 10, 42.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3791*d - 24 = -3803*d. Solve -m + l - 1 = 0, d*l - 6 + 9 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38931?\nAnswer: 3, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 12, 0, 0.3, 281, 3, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2350, 2215, 2080?\n\"Answer: -135*o + 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*q)*(0 + 1 - 2 + (-1 + 1 - 2)*(-1 - 6 + 5)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3797*c + 3797*c - 7586*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 21 - 1. Let u = 10 - z. Suppose -3*a - 13 = 2, -u*y - 3*a + 45 = 0. What is the remainder when 22 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 250\/8*(-8)\/2. Suppose 0 = 3*f - 5*c + 488 - 89, 2*f + 273 = c. Let z = b - f. Calculate the remainder when 128 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2259732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2*539\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*m - 3672 = -163*m. Suppose 2 = 2*k, -70 = -4*q - 5*k + 3*k. Calculate the greatest common factor of q and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -9 - 4) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2))**31 assuming f is positive.\nAnswer: f**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/3)\/(4\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (46\/(-18) - 12\/27). Solve 4*t + 3*j = -3, -t + 5*t + 8 = -x*j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 592801\/483 not equal to 1228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 70?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 615176*i**3 - 1005598?\nAnswer: 1845528*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3235961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(243) + 2 + (2*sqrt(243) - sqrt(96)\/sqrt(2)) + (6*sqrt(150)\/sqrt(5))\/(sqrt(20)\/sqrt(50)))**2.\nAnswer: 212*sqrt(3) + 8431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -12 + 32. Let a be l*(-2)\/(16\/12). What is the tens digit of 2\/(-12) - (-127)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 - 7*s - 1. Let v be x(-7). Let m be v - 5\/(10\/(-46)). Suppose -24*l = -m*l - 164. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.9 + 24.9. Let n = x + -23. Let u = -1.4 + n. Which is the second biggest value?  (a) -4  (b) 0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 9) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 32*b - 75347. Determine n(-291).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 7*i - y + 11582, 3*i + 5*y = 34752. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**5 - 48221*a**2 - 56*a + 10.\nAnswer: 40*a**3 - 96442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, 0, -2\/3, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 124205, 124213, 124235, 124277, 124345, 124445, 124583, 124765?\n\"Answer: o**3 + o**2 - 2*o + 124205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3202 + -3122203?\nAnswer: -3113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of -5*g**4\/12 + 2*g. Let n(d) = -2*d**2. What is n(s(h))?\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 21021120001001 (base 3) to base 4\nAnswer: 32300202133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.5 + 1. Let r = -8.237 - -8.137. Put -3, 4, g, r in increasing order.\nAnswer: -3, r, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273 and 76627915.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6138 - 6139. Which is the fourth smallest value?  (a) 1\/743  (b) 0.5  (c) 4  (d) u  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1198, 1197, 1196, 1195, 1194?\n\"Answer: -g + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -127, 131, 1 in increasing order.\nAnswer: -127, 1, 9, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9211.426 millilitres in litres?\nAnswer: 9.211426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3052*z + 2 + 5177*z - 188*z.\nAnswer: 8041*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -125*v**2 + v + 126*v**2 + 2 - 8*v**3 + 2*v. Let z be g(-1). Suppose 5*k - z*k = -6*k. Which is the second smallest value?  (a) 4  (b) 3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 497 = z, 3*l - 4*z - 188 = 5*l. What is the smallest common multiple of 6 and ((-90)\/12)\/(3\/l)?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 803*y = 377*y - 209*y - 55880 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 413*l**2 + 16594*l**3 - 413*l**2 + 17010*l**3 - 34083*l**3.\nAnswer: -479*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 21*t = 352. Suppose -3*o + 5*k = -11, -k + 6*k + 35 = 5*o. Let m = t - o. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 1 - ((-35)\/75)\/(2\/24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1142257*5.\nAnswer: 0.5711285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13 + 2*f - 8*f**2 + 1 - 5 + 5 wrt f?\nAnswer: -16*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j - 99. Let a be i(28). Let z(g) = -21*g**3 + 15*g**2 + 15*g. Let r(b) = b**3 - b**2 - b. Determine a*r(f) - z(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 4*w - 477, 61*w - 59*w = 6. Let b = 524 + -319. Let k = b - q. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 5*m**2 - 8. Let s be f(6). Suppose 0 = -3*v - v + s. Let l be (3\/1)\/(6 - v). Which is greater: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1728 and 288?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63*o**3 + 129*o**3 + 7*o**2 + 807*o**3 wrt o?\nAnswer: 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 43*o**2 + 191*o + 23. What is l(-38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000059 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -257, -5, -38, -1 in decreasing order.\nAnswer: 0, -1, -5, -38, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of -7*a**4\/12 - a**3\/6 - 5*a**2. Let h(o) = -5*o. Let p(y) = 17*h(y) - 6*r(y). Suppose 0 = -6*s + 15 + 33. Calculate p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*x + 13*x + 9*x**2 - 2*x**5 + (3*x**2 - 4*x**2 + 0*x**2)*(-2*x**3 - 2 + 2) - x**5 + 0*x**4 + 0*x**4.\nAnswer: -x**5 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 175*n**2 - 6. Let g be d(-3). Let m = -840 + g. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.33, -0.3, 120?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 176102107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 7152 * 5\nAnswer: 35760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1275 - 7?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -44007895 divided by 14155\nAnswer: -3109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 456943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3204054 divided by -42?\nAnswer: 76287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 6*h + 1704 = 0. Let j = -201 - h. Solve -j*f + 20 = -8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 941, -1185, -3307, -5425, -7539, -9649?\n\"Answer: 2*k**2 - 2132*k + 3071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = -3*z + 192. Let f be ((-2)\/1)\/(6\/(z + -6)). Solve -26 = -5*k + f*p, -k - 2*p - 8 = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3251256.6 * 8\nAnswer: -26010052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8265 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -1287*a - 914*a - 177*a + 1130*a in the form g*a + u and give g.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvqz when four letters picked without replacement from zqygvvztqzqq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.111*-1\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -0.50758?\nAnswer: 6.50758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - n - 13743. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - (-18)\/4 - 930985\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4*k + 13, 3*k = -2*a + 6*a - 24. Let u = a - -3. Calculate the lowest common multiple of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vvffvhvvvfvvfvrvrrv.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 14*n**2 + n + 2. What is s(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 344 or 429?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499455 is divided by 741.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**3 - 4 + o**2 + 6*o**3 + o**4 + 3 to the form f*o + y + u*o**4 + m*o**3 + v*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*p + 17*p**2 - 24*p)*(3*p**2 + 0*p**2 - p**2) - 1 + 1 + 2*p**4.\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226390*q**2 - 367*q + 173*q - 226391*q**2 + 194*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 15, 30, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 2:41 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 23089, 184856, 623895, 1478842, 2888333, 4991004?\n\"Answer: 23106*c**3 + 25*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.9 - -0.4. Let p = 3 + o. Let a = 0 + p. Sort -0.3, a, 2\/3 in decreasing order.\nAnswer: 2\/3, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1628107365?\nAnswer: 3, 5, 108540491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3228 - -1751\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 160112543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27873564 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1045 at most -1048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 34013292 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2511131 (base 6) in base 15?\nAnswer: 29974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 + 51897972*w + 51897976.\nAnswer: -4*(w - 12974494)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -3. Let v = l - -3. Suppose -4 = -3*s + 8. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -21056\/17999?\nAnswer: -21056\/17999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 - -50. Let v be -50 - (-2 - (i - 3)). Let k = v - -48. Let r(j) = j**3 - j**2 - 4*j + 3. Calculate r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3*y. Suppose y = -5*t - 31 + 141. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -m - 4*c, -2 = 2*m - 4*c + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 619219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 1201341201212?\nAnswer: 1201341201213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -13609 times -0.2\nAnswer: 2721.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*n = -n. Suppose -3*b + 3*h + 927 = n, -b - b + 622 = -4*h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 23*m - 25. Let j be h(-18). What is the units digit of 3 - 8\/4 - j\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004139582 rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3638 or 3644?\nAnswer: 3644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u. Let d(n) be the second derivative of -3*n**4\/4 + n**3 + 3*n**2 - 8*n. Let v(r) = r**2 - r - 1. Let k(g) = -d(g) - 6*v(g). Give m(k(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -121729, -121803, -121877, -121951, -122025, -122099?\nAnswer: -122173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7\/2  (b) -70  (c) 0.45928  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/7 - 12*d**4\/7 - 18*d**3\/7 + 8*d**2\/7 + 24*d\/7 = 0 for d.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 122*n + 1635. Determine x(142).\nAnswer: -1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.356757 millimeters?\nAnswer: 0.000000356757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -68*w - 3. Let m be u(-12). Let h = m - 693. What is the least common multiple of 14 and h?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11244 + 17*a**2 + 11244 - 15*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1179.905069 rounded to 0 dps?\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1570 and 16014?\nAnswer: 80070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o - 3*g - 10, 68 - 73 = -4*o - 3*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7802165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -7*y + 43998. Let u(i) = i - 85. Determine v(u(b)).\nAnswer: -7*b + 44593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9922 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 499 is divided by ((-42)\/35)\/((-6)\/1290*2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 13 = 3*k, -573*x + 568*x = 3*k + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/248627 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 137 + -80. Let h = -1136 - -1146. Calculate the remainder when u is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 8, -2, 5399.\nAnswer: -2, 8, 27, 5399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 5 = 0, 2*z + 2*l - 6 = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6132 and 92129212?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 5578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -142 + 146. Put 0.4, 1, 7, b in descending order.\nAnswer: 7, b, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -5. Let f(n) = n**3 + 2 - x - 8*n + n - 7*n**2. Let u be f(8). Solve -w = -0*w - u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 225285 and 30.\nAnswer: 450570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.229 - -13142814545.\nAnswer: 13142814545.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1104244*d + 5521286*d - 1104262*d - 1104263*d - 1104257*d - 1104258*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5329132*q - 1 - 3 - 3221097*q - 10049769*q. Let h be y(2). Round h to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/66?  (a) -18  (b) 3  (c) 11\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 678, 688, 700, 714?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1874*l**3 - 28*l**2 + 9*l + 158 wrt l.\nAnswer: -11244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -7 - -3) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77 + 19. Suppose 3 = 20*v - 19*v. Suppose 2*y = 4*u + 12, u = -2*y - v*u + 36. What is the greatest common divisor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 81 in 5, 21, 3.7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ras when three letters picked without replacement from sblaaalaasaarslas?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h + 4, 2*q + 2*h = 10. Let n be 24 - (q - 0) - -1. Suppose -2*y = 2 - n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (846\/(-12))\/((-3558)\/198) + -4 and -29\/6?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s**2 + 2*s**3 + 1 - 4*s**3 - 3*s**2 + 2415*s**4 - 2412*s**4 + 6*s to k*s**4 + d*s**3 + v + q*s + n*s**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 121*x - 9*x - 8*x.\nAnswer: 104*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2161*h**3 - 2*h**2 + 8*h + 10. List the prime factors of g(-1).\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4013.70452 and -99345.\nAnswer: -103358.70452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-22)\/33*(-3)\/(-14). Let t be (6372\/(-13637))\/(-3) - 0. Let q = t + -2\/1049. Which is the third smallest value?  (a) q  (b) n  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j + 2. Let n = -13 - -9. Let f(m) = -2*m + 9. Let u(c) = c - 5. Let p(h) = 3*f(h) + 5*u(h). Calculate n*k(a) + 3*p(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 minus 6579.08565273?\nAnswer: -6579.13565273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**5\/3 - 293*s**4\/3 - 28219*s**3\/3 - 284625*s**2 + 1254528*s - 1293732.\nAnswer: -(s - 2)**2*(s + 99)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 442749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 23 = -3*h, 22*h - 3*y - 57 = 35*h - 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-49))\/((-24)\/(-42))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a1cd (base 16) to base 8.\nAnswer: 320715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (1 - (-33 + 12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 19*t**2 + t + 26. What is the smallest common multiple of 5 and v(-19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 11, e: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 24*f + 1114. Calculate p(-43).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - 30.2. What is the third biggest value in -4, 64, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (3 + (-19)\/(-133) + 8\/(-7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17386*i + 86526530 - 86526530 to u*i + y and give u.\nAnswer: 17386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.076, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + -1 + -71 + 32 - 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3895\/58 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/1785826 and 19\/56.\nAnswer: 7143304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of -7*s**3\/6 + 7*s**2\/2 - 11*s. Give c(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -39128 - -39132. Solve 3*n - 12 = a*u, -15 = 3*n + 5*u + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -31*r**3 + 2*r**2 + 2147*r + 6446. Determine n(-3).\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.3 - -31.7. Let d = t - 42. Let o = 1.4 - 1. Which is the third biggest value?  (a) o  (b) d  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 122365847 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzvvyvvw. What is prob of picking 1 y, 1 v, 1 w, and 1 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*f - 72*f + 3*v + 7 = 0, -5*f + 4*v = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 + 53. Let s(q) = -q**2 - 4*q. Let o(z) = -2*z**2 - 4*z - 1. Let u(h) = -2*o(h) + 3*s(h). Give u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000102121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 0, -j - 30 = 3*r + 3*j. Let t be (-2)\/5 + (-24)\/r. Is -1 - -1 - t - -69 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1471 times 25.013\nAnswer: -36794.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2794 + -2792. Which is the second biggest value?  (a) 0.04  (b) 1\/6  (c) -1  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -1529*i - 99424. Determine j(-65).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at most 67\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 - 49. Suppose 4*d + 368 = -4*t, 11 = z*d - 9. Let x = t - -189. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/10)*m)**(-9)\/(m**(-1\/9))**3)**(-1\/2) assuming m is positive.\nAnswer: m**(557\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -78*x**3 + 8*x**2 - 3*x + 15. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(228)\/(-1*sqrt(12) - sqrt(12)) + 4.\nAnswer: -sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(275) + -1)*-3 - (sqrt(275) + sqrt(275) + 1)*-2) + -3 + 2)**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qeiqiqiqqmf. Give prob of sequence ef.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 333?  (a) -0.3  (b) 2\/5  (c) 1\/7  (d) -2\/23  (e) -92\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -7*r + 2530000. Round r to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 332 + 38 = 0. Calculate the smallest common multiple of 9 and z.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23\/92*3\/(30\/(-4))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ukokaaxaayuy. Give prob of picking 1 a and 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 863705028 or 863705029?\nAnswer: 863705029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 238?  (a) -2\/5  (b) 0  (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3*m + m - 24, 3*x = 2*m + 6. Solve 4*v - 2*t - 16 = 0, -4*v - 12 = 4*t - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**6\/360 - y**5\/10 + 7*y**4\/12 - y**3 - 7*y. Let i(g) be the second derivative of o(g). Is i(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 168 = -4*f, 118 = -4*c + 5*f - 32. Let o = -72 - c. Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.04 + 0.34. Let u = w + 2. Let r = -30257 + 30252. Which is the third smallest value?  (a) 0.2  (b) u  (c) 0.5  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1 + 12*y**2 + y**3 + 1 - 6 - 4 + 2*y. Is m(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4731 divide 119781963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3*(1\/5)\/(30\/350)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 7 = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 2*x + 3*o - 7*o, 4 = -3*x - 2*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, 1\/3, -26.5, 1\/2, 9, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2968 = 214*a + 279*a - 14287 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 3*p = -4*r - 40, -2*p = 2*r + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 0*n - n - 116, -2*w + 242 = 3*n. Suppose 0 = 2*q - w - 80. Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 455 and 43138459.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*l + 83*l + 10*l**2 - 18*l - 98*l - 4.\nAnswer: 10*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 9*c + 127. Let j be l(-9). Suppose 4*n - 2*z - j = 142, -4*n + 176 = -5*z. Calculate the remainder when 243 is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 1\/60*g**5 - g**3 + 5*g**2 + 1\/12*g**4 + 0*g + 0. Let c = 51 - 57. Give y(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -3  (c) 5.4  (d) 0.2  (e) 1  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 3*k + 12. Let j = 759 - 755. Suppose 16 = 4*u - j*c, 5*u - 6*c + 5*c - 4 = 0. Solve u = -5*y - k*i + 19, -i - 2*i = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00039411 rounded to six dps?\nAnswer: -0.000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(7\/5)\/(f\/f**3)*(f**(-2\/7))**4)\/((((f\/f**(-3))\/f)\/f**(-7\/2))\/(f**2)**31) assuming f is positive.\nAnswer: f**(4043\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - 1 - (-100)\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5108428069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 17 - (-6)\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*i = -2115 - 1801. What is the greatest common factor of i and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 27*j**2 - 2*j - 2. What is the units digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.18 - 0.12. What is the third biggest value in t, -0.06, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/905480 and 79\/40.\nAnswer: 905480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: 128\/(-12)*(-33)\/(-484)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -375 * -13495.\nAnswer: 5060625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.8 and 0.83675.\nAnswer: 2.3429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.7 less than 0?\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -b17?\nAnswer: -b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z. Let y(n) = -232469463*n. Give y(s(b)).\nAnswer: 464938926*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0019 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (128\/(-14))\/4*(3 + (-70)\/7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -7*i**4\/4 + 3*i**3 + 3*i - 134. Find the third derivative of v(l) wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 134500906*u**2 + 4222*u - 2010 wrt u?\nAnswer: 269001812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 36788 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {z: 2, i: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53999723?\nAnswer: 349, 154727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 331*l = -104*l - 92*l - 12648 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*i - 25. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2019604 times -4\nAnswer: 8078416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52*4113.\nAnswer: 213876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41b35 (base 12) to base 15.\nAnswer: 1a882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 5*w + 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -159.8 * -8\nAnswer: 1278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26 + 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221335 is divided by 1011.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 5*w**2 - 7*w + 2. Let o be x(-6). Let v(j) = j**3 + 2*j**2. Let g be v(-2). Suppose u - o = -g*u. Solve 7 = 5*p - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -446*f + 201*f - 234*f - 13. Let o be m(-8). Suppose o = 10*l - 401. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76 and 5337024.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 403331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -7, 2, 5, -4\/3, -2\/3, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 78179855.15 to the nearest 1000.\nAnswer: 78180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.7 - -1.3. Let w = -2290 - -2288. Is u greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/12?  (a) 4  (b) 2\/5  (c) 5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2195748549 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7234, -7198, -7162, -7126, -7090?\n\"Answer: 36*x - 7270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1505448, -6021826, -13549122, -24087336, -37636468?\nAnswer: -54196518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -771904*f - 4631423. What is q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**3 + j**3 - 2*j**3 + 2*j**3 + 2*j**3 - 5*j**3 + (-2*j**2 + 2*j**2 - j**3)*(3 + 1 - 2).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -43*y**3 - 6*y**2 + 4*y - 4. Let h(u) = 42*u**3 + 7*u**2 - 5*u + 5. Calculate -5*g(n) - 4*h(n).\nAnswer: 47*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(4\/4*1). Let a be (3 - i)\/(1 - 2). Let m be 23\/7 + a\/14. Solve 12 = 3*d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -11, -49, 0.04?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-925344)\/27216*154\/68?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*q + 2720 = -10*q. Suppose 12*f = 10*f + 136. Calculate the greatest common divisor of f and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 650 = 5*d + j, 4*d - 4*j - 367 = d. Let i = d + -129. Solve -c - 7 = -4*a, i*c - 5*a - 4 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3798*k - 3606201 + 893*k**2 - 1794*k**2 + 900*k**2 = 0.\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -23, -67, -147, -275, -463, -723, -1067?\n\"Answer: -2*o**3 - 6*o**2 - 12*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 486 divided by 6\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 6:10 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 13*r - 10*r - 555, -5*d = 2*r - 387. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*b - 208*b + 4*s = 0, b - 2 = -s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4501938.\nAnswer: 2, 3, 7, 37, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 5*d - 15 = -8, -5*i + 2*d = 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -514 - -519. Sort u, 0.219, 3\/2.\nAnswer: 0.219, 3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 7*k - 9. Determine q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eccceccceeeccceccc. What is prob of picking 3 e?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 95521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4\/3 - 22*b**3\/3 + 44*b**2 - 202*b\/3 + 91\/3.\nAnswer: (b - 13)*(b - 7)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 76\/547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 84.03 - -4.97. Let t = c - 88.6. What is the smallest value in t, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s + 3*x + 14 = -7*s, 5*s = 4*x + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2457 + 3213 = 3*j. Let h = 69 + j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/20 + 77\/35. Let l(y) = y**3 + 6*y**2 + 3*y - 6. Let k be l(-5). Factor -k*x**4 + 2*x**3 + 2*x**2 - 3*x**2 + 5*x**4 - w*x.\nAnswer: x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**2 - 2*k. Let w(t) = 11*t**2 + t. Let n(z) = 27*z**2 + 3*z. Let c(b) = -5*n(b) + 12*w(b). Determine -5*c(v) + 8*i(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 23*r**2 - 16*r - 118. What is v(-25)?\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 5) + 16 + -16 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 2988?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -78708*g**2 + 2*g. Let r(a) = -314*a. What is r(o(l))?\nAnswer: 24714312*l**2 - 628*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1691819593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 7.06. Suppose 150*o - 1012 = -103*o. What is the nearest to 1\/3 in c, -0.4, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-15))\/(-4) + (-555)\/2475.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 10 - (2 - ((9 - -8) + 30)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.6 - 1.5993. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1938 not equal to 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5.03, 2\/1505, -2\/23, -3 in increasing order.\nAnswer: -4, -3, -2\/23, 2\/1505, 5.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 354461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*11\/(66\/36). Find the common denominator of 1 - (7\/18)\/(i\/40) and 85\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 20 = -5*j. Suppose j*b = -b + 60. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*k + 69 + 77, 8 = 4*d. Find the common denominator of 134\/8 + 1 + -1 and (-104)\/k - 4\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 60*w - 598. Let q(t) = -30*t + 302. Determine 8*h(b) + 15*q(b).\nAnswer: 30*b - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 34, 0, 3, -5, 4 in increasing order.\nAnswer: -5, 0, 1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*b**2 + 30*b**2 - 53*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t - 5. Let h be l(8). Suppose 4 = h*k - 2. Suppose -2*p + k*m + 20 = 0, 2*p + 2 = 5*m + 19. Calculate the greatest common divisor of 121 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(14\/8*(-15)\/315).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53*h**4 + 1327*h**3 + h**2 - 3*h - 46278?\nAnswer: 636*h**2 + 7962*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/27)\/(q\/(q\/(q**(1\/39)\/q))*q))\/(q**(-2\/21)*q**(5\/7)*q*q) assuming q is positive.\nAnswer: q**(-6316\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, g: 1, k: 8}. Give prob of sequence cg.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 369*o - 186*o - 199*o = -3093984000. What is o rounded to the nearest 1000000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(1*sqrt(125) + sqrt(125)) - sqrt(125)) + -2 + sqrt(125) + 2 + 4)**2.\nAnswer: -400*sqrt(5) + 12516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -22877, -45757, -68637, -91517, -114397, -137277?\n\"Answer: -22880*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggggggggggggggc. Give prob of picking 1 g and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*n - 2 + 3 - 1.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*p - 96 - 28 = 0. Let l be ((-28)\/8)\/(1\/(-2)). Put -3, -1, l, p in descending order.\nAnswer: l, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -976, 1\/4 in descending order.\nAnswer: 6, 1\/4, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 + 26.8. Let q = 0.09 - 0.09. Let l = -605\/7 - -86. Which is the biggest value?  (a) x  (b) q  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 8:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 7)*(-5 + 2*t + 5)*(2*t + t - t + 0*t - 4*t + 6*t + (-4*t + 4*t - 3*t)*(-2 + 6 - 3)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**6\/6 + 1. Factor f(m).\nAnswer: m**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*x = -24*x + 3. Suppose -2 = -x*a - 2*m, 5*a + 5*m - 15 = -10. Let p be (2 + 0)\/(a - -1). Solve 0*t = 5*t + p*c + 20, t + 4 = -5*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {b: 4, e: 1, z: 1, j: 2, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-139222)\/(-6))\/1 - (1712\/48 + -35)?\nAnswer: 23203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 2*q - 70, 3*m + 5*q - 55 = -m. Suppose 6*n - 2*n - m = 0. What is the greatest common factor of n and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qmmmmmmqmqmmqmmq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(1\/4))\/(l**(4\/15)*l))\/((l\/(l\/l**(-31)))\/l**(3\/23)) assuming l is positive.\nAnswer: l**(42247\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 4)*(-2*x**3 + 3*x**3 + x**3) - 2*x**3 + 3*x**3 - 2*x**3 + ((-2 + 1 + 4)*(0 - 1 - 1) + 1 + 3 + 5)*(-93*x**2 - 3*x**3 + 93*x**2).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2141940 divided by 6155?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -2331201?\nAnswer: 2331132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 6*n = -n. Suppose n*j - 32 = -j. Calculate the least common multiple of j and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 14.9\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*g. What is the nearest to g in 5, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3 or -55.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.79 - -8.13. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 7354, 0.2, -2 in ascending order.\nAnswer: -2, 0.2, 2, 7354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16707?\nAnswer: 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34473819 to the nearest integer?\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -174 + -8e?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -21*y**2. Let c(o) = -2*o - 7*o + 3*o - o. What is c(f(m))?\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**4 + m - 8588051*m**2 - m**4 + 8588111*m**2)*(2 + 4 - 5).\nAnswer: m**4 + 60*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o + 8. Let s(l) = -l**2 + 2*l + 3. Let q be s(3). Suppose q*p + 4 = p. Let w be d(p). Solve -4*c + 4*k = 2*k - w, 3*c = 2*k + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 - 8*z**2 - 5*z**2 + 12*z**2 + 4. Let m = -2 + 13. What is the remainder when m is divided by k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -423 and -5.\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -1434*w + 1429*w + 20, -2*s + s = -0*s + 2*w for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -553 - 63. Let t = -39 - c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1388 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (-1 - 2) - -52. Let r be 6 + (-1 - (1 - 3)). Suppose -r*q = -3*q - w. What is the highest common factor of 143 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5 and -1501.1.\nAnswer: -1500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((0 - -9) + 29\/(-2)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 54438 + 54437 - 108875.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 9*k - 7*k - 24, 4*z + 21 = -5*k. Let m be ((-1)\/2)\/(z\/90). Let c(t) = -t**2 - t + 8*t - 7 - 3*t + 4*t. Calculate c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 470667 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-5)\/((-3)\/3). Suppose -r*y + 3*g = 29 - 5, 5*g - 30 = 5*y. List the prime factors of 9\/(-15)*y*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1467 = 12*k - 2007. Solve 18*j + k = -63 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -4*v - 9. Let d(w) = w + 1. Let h(l) = -12*d(l) - 4*n(l). Let b be h(-5). Find r, given that -4\/5*r - 8\/5*r**2 + 9\/5*r**b + 3\/5*r**3 + 0 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -8216  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22303 in -9, 11, 4\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -13836 times -2.9\nAnswer: 40124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/13293 and -55\/819.\nAnswer: 172809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*t**4 + 5*t**3*z + 672*t**3 - 27*t**2*z - 24*t**2 - z + 1 wrt t.\nAnswer: -624*t + 30*z + 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 13*g**3 + 36*g**2 - 12*g + 6. Let w(t) = -12*t**3 - 34*t**2 + 10*t - 5. Determine -5*i(k) - 6*w(k).\nAnswer: 7*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a + 16. Let g(p) = -9*p. Calculate b(g(n)).\nAnswer: -18*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((5 + 1 + sqrt(1573) + sqrt(1573))**2 - ((sqrt(1573) + 1)*6)**2) + 3 + (sqrt(1573) + 0 + -1 - (-2*(1 + sqrt(1573) - sqrt(1573)))**2).\nAnswer: 2123*sqrt(13) + 201342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**6 + 6620*s**3 + 9969*s**2 + 2*s wrt s?\nAnswer: 120*s**3 + 39720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*d + 26*d - 6312. Let j = -515 + d. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12086373 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 p(t) = -6. Let q(x) = -x - 6. Calculate 3*p(m) - 2*q(m).\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -10*v. Let y(u) = 7*u**2 - 6. Let j(m) = m**2 - 1. Let q(w) = 6*j(w) - y(w). Determine q(n(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20615991 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (77 - 74) + -1 + -2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -3, -1\/38, -1\/4, -2\/13?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/119 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11977*5292.\nAnswer: 63382284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -7. Let w be (-1 - 9\/v)*106. Let r = w + -27. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.8023 to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 15, 37, 79, 147?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 41, 2\/3, -19, 1\/114?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15\/496 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-54)\/15*(-150)\/45. Suppose -54 = -3*v - 2*h, 24 = 2*v + 3*h - a. Calculate the remainder when 123 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**2. Let v(i) = -19*i**2 - 3*i + 1. Let j(l) = -4*m(l) - v(l). Let y be (-1 - 1) + 2 + 2. Determine j(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 3*q - 1028, -d + 1339 = 4*q - 2*d. Let y = -33034 + 33048. Calculate the highest common divisor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -0.18440617\nAnswer: 0.036881234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 170539399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 112 - 215. Suppose 4*b - j = 184 + n, 211 = 3*b + j. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 453*b**2. Let x(d) = -2*d. Calculate y(x(g)).\nAnswer: 1812*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -825 - -832. Solve 6*u - 11 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -5, -15, -0.5, 5, -987531?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.06174 to 2 dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -452 - 8 = -5*l. Suppose 4*o + k - 174 = 0, -l = -4*o + 3*k + 74. Let y = o - -36. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 3*o**2 + o - 2*o**2)*(-o**2 + 10*o**2 + 5*o**2).\nAnswer: 14*o**4 + 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**4\/4 - 18255*c**3\/4 + 3652137*c**2.\nAnswer: -3*c**2*(c - 716)*(c + 6801)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1111101101110001 (base 2) to base 16\nAnswer: fb71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - -23.4618.\nAnswer: 24.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-5)\/15)\/((-3)\/45). Suppose 3*c - 10752 = s*z, 2*c - z + 3*z - 7184 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**3 + 6*c**2 - 46*c - 266. Calculate u(-7).\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 17*u**2 - 5*u - 86. Let a be h(-17). Let z(b) = b + 6. Let s be z(-6). Is s < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1666007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.9264 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 2) + 1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + n + 1. Let y be 20\/15 - 1\/3. Let i be q(y). What is the first derivative of -i + 0*p**4 + 2*p**4 - p**4 - 4*p**4 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2241\/(-18)*(-4)\/6. Suppose -2*p + 2*w + 25 + 1 = 0, 4*w = -5*p + z. Suppose 5 + p = d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zsvskzbbkzbssz. Give prob of picking 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-22121)\/(-55))\/(42\/(-10) + 3). Let f = 330 + a. Find the common denominator of 75\/22 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**4 - 121*c - 2*c**4 + 165*c + (1 - 5*c**2 - 1)*(3*c**2 - 1 + 1).\nAnswer: -16*c**4 + 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 21\/168 + 1631\/8. Let a(w) = 14*w**2 - 413 + y + 210. Calculate a(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 616 and 1679300?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1110 - 13?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 5 - 13*i**2 + i - 11 + 1 + 4. Suppose 0 = -2*b - b - 5*l - 17, -3*l = 12. Calculate u(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45)*-2)\/sqrt(3))\/(sqrt(135)\/sqrt(3)) + (-3*sqrt(36)\/sqrt(4))\/(2*sqrt(75)).\nAnswer: -29*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1713609 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 24 = 2*f. Let b be (-2)\/(-3) - f\/12. Suppose 4 = -3*w - 2*d, -5*d = -4*w - b*d + 10. Let c(l) = -l - 7. Determine c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -763*d**2 + 365*d**2 + 348*d**2. Let o(n) = 4*n**2. Give s(o(j)).\nAnswer: -800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 322.63 rounded to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 6) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26 - 75*h**3 + 1 + h + 77*h**3 + h**4 + 6*h**2 + 153*h**3 - 25 to f + n*h**2 + o*h + v*h**3 + i*h**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + i + 1 + (-3 + 2 - 15)*(-i + 0 + 0) to k + o*i and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 121*d + 2021. Give v(101).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 679010*r + 23052729005.\nAnswer: 5*(r - 67901)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 500 in -52, 10, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 15*d - 5. Let t be b(8). Suppose 5*c + 5*q - 135 = 0, 3*c + 4*q + 29 - t = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 11*t**4\/6 - 2*t**3\/3 - 21*t**2\/2 + 28*t. What is the hundreds digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5156574 + 307410 = 35*x + 13*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21101\/404 - -209\/4. What is the biggest value in s, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.3  (b) 1  (c) 8  (d) -0.4  (e) -34\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 380*m + 69922. Give b(-184).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 217173 and 14767764?\nAnswer: 14767764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (79 - 45) + -34 + (2 - -12) + -82.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*h + 3*q - 4*q, 4*h = -3*q + 36. Let l(w) = -w + 4 - h + 0*w - 3. What is l(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1977, -1998, -2053, -2154, -2313, -2542, -2853, -3258?\nAnswer: -3769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8650*i**3 + 23757*i**2 - 2?\nAnswer: 51900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 + 10 + 21 - 22)*(11*i - 22*i - 13*i).\nAnswer: -816*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-180)*3*-6*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/((v**(-3)*v)\/v*v*v)*v**(-2\/11)*v**(1\/4)*v*v**(-5)*((v**5*v)\/v*v**3*v*v)\/v**(-2\/3) assuming v is positive.\nAnswer: v**(1153\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 1321403 (base 11) in base 4?\nAnswer: 20232003312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2228775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/(-12)*(1120\/2625)\/(-16).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 4)*(-5*b + 0*b + 2*b) - b + b - 2*b + (2*b - 2*b + 2*b)*(10 - 4 + 7) + b + b - 5*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**4 - 78*i**3 - 224*i**2 + 78*i + 225 = 0. What is i?\nAnswer: -75, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 10:28 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5043.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3220 (base 5) to base 4\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 614 is divided by 106.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-18)\/(-188))\/(-6 - 17805024\/(-3056531)). Let p = c - 1\/89027. What is the common denominator of p and -13\/10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 418 = -3*x, -2*x = -3*x + 4. Suppose 35 = -3*u + d. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.4 * -1076\nAnswer: -2582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 10:46 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 109*k + 6. Let r = 76 - 74. List the prime factors of m(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 6*k**2 + 9*k - 12. Let m be z(7). Suppose -5*w + m*w + 11 = 5*s, -4*w = -4*s + 28. Solve -s*n + 10 = -2*y, 0 = n - 0*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (54 + 16 - 140)*(5*t**2 + 2*t**2 - 3*t**2) to u*t**2 + i*t + x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - w - 514, 136 = 4*u + w - 554. Let i = u + -131. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/2 - 128093660*d + 8203992866097800.\nAnswer: (d - 128093660)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -65*f**3 + 2*f**2 - 2*f - 1. Let m(q) = q**3. Determine d(r) + 5*m(r).\nAnswer: -60*r**3 + 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20.6 - -20.3. Which is the smallest value?  (a) 0  (b) 2\/3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 54008*v - 28. Let r be p(5). Suppose 0 = -5*c - 3*o + r, 227002 = 4*c + o + 10998. Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w - 2. Calculate the remainder when u(3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1180 divided by -5\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73614816?\nAnswer: 2, 3, 11, 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 286190 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - y**2 - 17. Let k be 0\/((-10)\/65 + (-28)\/(-13)). Give h(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-76)\/(-950))\/((-2)\/(-30)) - (-312)\/40. Solve 10*u - l = -99 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 2*x + 2)*(-41 + 18 - 223) as b + i*x and give b.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -10 + 1\/2*0. Let l be -2 - (-3 + (-1 - -3)). Let k be (9\/6)\/(l\/i). Solve m + a - 6*a + k = 0, 2*m + 15 = 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of a**5\/120 - 7*a**4\/24 - 4*a**3\/3 - a - 48. Let q(b) be the third derivative of d(b). What is q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2066438771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -2*l + 3*f + 3, 4 = -4*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 16834082.\nAnswer: 13\/16834082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6260 - 48?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39 - -16 - -9) + 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 2*l - 3*l + 21*l - l + (-2 + 0 + 3)*(-1 + 2*l + 1))*(4*l - 5*l + 0*l) in the form m*l + c + v*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 121\/7 - 333\/14. What is the common denominator of w and (1 - (-34)\/(-40)) + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 433*s**5 - 1666*s**5 - 1007*s**5 + (-s**5 + 0*s**5 + 0*s**5)*(-1 - 1 + 0).\nAnswer: -2238*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11011101000000110011 (base 2) to base 5.\nAnswer: -212432032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 37 + 12 = 0. Suppose -4*c = -3*h, -2*c = h + 2*h - 18. Let n be 8\/(-6) + c\/9. Sort 4, n, b in decreasing order.\nAnswer: 4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 20*y**2 + 3 - 2 + 26*y**2.\nAnswer: 6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*m - 28. Let n(g) = -g + 27. Let z be n(m). Calculate the highest common factor of z and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-63)\/15)*(-29050)\/20335?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2751 = -0*f + f - 5*o, 2*f - 5524 = -o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-387)\/645)\/((-2)\/20). Solve -j*o + 14*o - 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1229783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1925 + -1913. Is 91\/8 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 4.666872\nAnswer: -9.333744","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172969398?\nAnswer: 2, 3, 7, 29, 31, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2627 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2189)\/(-55))\/((-1)\/(-215)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2, -21, -52, -95, -150?\n\"Answer: -6*a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11.5 and -0.35?\nAnswer: 4.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1157436 (base 10) in base 4?\nAnswer: 10122210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100672 and 801746?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -p**4\/4 - 12*p**3 - 67*p**2\/2 + 38*p + 63. Let z be r(-34). Sort z, 24, 0, -3 in descending order.\nAnswer: 24, z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2039 is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -171871 + 6?\nAnswer: -171864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26330773 is divided by 74.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000589346 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 60, 67, 74?\n\"Answer: 7*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k + 6 = 4*k - 102. Solve 4*t = 9*q - 5*q, -3*q = k*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.63 in 2.04, 3, -11, -2\/17, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1166 times 5\nAnswer: 5830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (155 - 196 + 488 + 253)*(-2*i + i**3 + 2*i) as q + f*i**2 + l*i + h*i**3 and give h.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + 1. Let w = -1.11 - -19.31. Let h = 21.2 - w. What is the nearest to -1\/5 in h, 4, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 4  (b) 14  (c) 2\/3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/(-9)*(-516)\/(-430).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21658 and 2842.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lnkkkrkklrkkkrklkklk. Give prob of sequence lkr.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1235 and 3.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 36*g**2 - 6*g - 16. Let u(v) = -12*v**2 + 2*v + 5. Suppose 32 = -2*s + 4*s. Let m(t) = s*u(t) + 5*f(t). What is the second derivative of m(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 8:21 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 18. Let f = k - -90. Let x = -78.2 + f. What is x rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from {i: 3, r: 1, z: 9, q: 2, b: 4}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 87 and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0.8907, 3 in increasing order.\nAnswer: 1\/2, 0.8907, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.044 from -3191426591.\nAnswer: -3191426591.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72 - -176. Let n = c + -68. Let z = n - -28. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -15 - (-5 - (8 + -3 + -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 3:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1829 and 0.01.\nAnswer: 18.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 124\/(-6)*(-12)\/8. Suppose m - 39 = o. Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -701681, -701689, -701689, -701675, -701641, -701581?\n\"Answer: r**3 - 2*r**2 - 9*r - 701671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, d: 6, i: 6, c: 5}. Give prob of sequence vdid.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1460364140 + 0.2.\nAnswer: -1460364139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 24227815?\nAnswer: 48455630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000267798 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -1909.\nAnswer: -1\/1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 4.89?\nAnswer: -19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20859833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - a**2 + a**2)*(-5 + 0 + 4)*(4 - 2 + 0).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25601, 51858, 78115, 104372?\nAnswer: 130629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-4) + (-105)\/(-2) is divided by (-73)\/12 + 6 - (-1011)\/36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-3 - -8) - (-10 + 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -6\/7, 3, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12 - (2 + -1 + -2). Let f(r) = -r - 3. Let d be f(v). Which is smaller: -13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d + 1. Let k(c) = -3*c**2 - 3*c - 2. Let x(r) = 2*r**2 + r + 1. Let m(n) = 3*k(n) + 5*x(n). Let w be m(4). Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 27\/5 - 8\/20. Suppose 0 = -x*z - i + 8 + 8, -3*z = 3*i. Let r = -6 + 6. Solve r = -4*s + d - 4, -z*s + 3*d + 1 = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -40, -63, -88, -115, -144, -175?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(143)\/(sqrt(33)\/sqrt(3)) + 0 + sqrt(13) + sqrt(13) + 2 + 5 + -3 + (-1*sqrt(637) - sqrt(637))**2 + 3*(2*sqrt(637))**2.\nAnswer: 3*sqrt(13) + 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from jxxmjmumujjxjjjjj.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -797.2 - -796.53. Let w = -24 + 25. Sort w, 3, r in decreasing order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 q when four letters picked without replacement from {q: 7, p: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 488*v + 1. Let f be (42\/(-35))\/(1\/(-5)). Is z(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-456)\/798)\/(-30*112\/294)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 8:32 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1444448*-27.\nAnswer: 39000096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 21 = -2*j, 0 = -4*s - 2*j + 1 + 15. Suppose 0 = -s*f + 3*v + 25, -f + 6*v + 12 = 4*v. What is g in 111 + 2*g + 2*g**f + 17 - 30*g - 4*g = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 42 - -1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + o + 4 + 5 + 5*o**3 to the form i*o**3 + d + s*o**2 + y*o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -453.1 + 458.962. Let i = -0.338 - q. Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/(-117) - -2*2\/26?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**3 - 5*w**2 - 4*w + 4. Let i be 3 + 1 - 2 - -2. Let t be b(i). What are the prime factors of (t\/(-15) - -2)*-20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-13 + (5 - -8) - 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r + 3. Calculate the remainder when d(-6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -515299 or -515252?\nAnswer: -515299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118602, -123359, -128116, -132873?\nAnswer: -137630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 36*z**2 - 1798*z - 25. Determine d(49).\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in 4\/5, 2\/7, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*q + 123675 - 127803 for q.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28205\/2 + -14102. Factor -f**2 + t*f**3 + 0 + 0*f.\nAnswer: f**2*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8, 4, 78.013, 0.121 in descending order.\nAnswer: 78.013, 4, 0.121, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-23))\/(-4)*9\/(108\/8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-6) - (-84)\/153. What is the fourth smallest value in 1\/5, -2\/7, -0.2, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 8. Let k be b(4). Suppose k = -4*g + 6*g. What is the smallest common multiple of 12 and 1\/g*(-120)\/(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.46 in -69, 2\/15, -0.4, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -2*v + 2*b - 2*b - 40, 470*v = 473*v + b + 60 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(((x**3*x)\/x*x)\/x)*x)**39*(x**(-5)\/x)**(4\/9) assuming x is positive.\nAnswer: x**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 3*d = -4*i + 46, -53342*i + 53344*i + 3*d = 18 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15865706, 15865675, 15865644, 15865613?\nAnswer: 15865582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7\/20 + -1\/20. Let p = -21 - -34. Let t = 8 - p. Sort q, t, -2\/3 in descending order.\nAnswer: q, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 11*v**2 + 11*v + 11. What is the units digit of n(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**3*n**2 + 2*g**3*n - 324701*g**3 + 28*g**2*n - 53129*g*n**2 wrt g.\nAnswer: -6*n**2 + 12*n - 1948206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1441.271nm in micrometers?\nAnswer: 1.441271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -u + 47680078, 5*d + 59600094 = 10*d + 3*u. Suppose -2*n + 4*w + d = 0, 3*w = -3*n + 5*w + 17880010. Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -51*g - 45. List the prime factors of f(-4).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -114 - -119. Suppose 0 = -j*p - f + 20, -4*f + 8*f = -5*p + 5. Let n be 10\/(-646)*(12\/p + -2). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of u**5\/60 + 11*u**4\/24 + 7*u**3\/2 - 672*u**2 + 2. What is l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**3 + 36*m**2 + 314. Let v(y) = y**3 - 18*y**2 - 157. Let l(w) = -3*j(w) - 5*v(w). Differentiate l(o) with respect to o.\nAnswer: 3*o**2 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**2 - 72*z - 384 = 0. What is z?\nAnswer: -16, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7 + (-115)\/(-15))*-15. Calculate the common denominator of x\/(-8)*4 - 47\/2 and -95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19522?\nAnswer: 2, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.46 + -0.46. Let t = -10.000023 + j. Round t to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1021121012102 (base 3) in base 7?\nAnswer: 5534342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v - 7. Let c be q(3). Factor -6*p**4 + 2*p**2 + 6*p**2 + 6 + 11*p**c - 3*p**5 + 6*p**3 + 21*p + 5*p**2.\nAnswer: -3*(p - 2)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {z: 3, u: 3, o: 2, x: 6, n: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 883409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -58*j + 100*j - 178 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2 + 10 = 0. Let q be w\/14 + 12\/(-42). Suppose -2*r - 2*r + 4 = q. Solve r = -0*o - o + 2*u, -1 = o - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 9*p - 25. Let f(y) = 78*y - 18. Let a be f(p). Let x = a + 155. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -39*z - 4. Suppose -3 + 6 = -b + 2*p, 4*b - p = -26. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4560 - 36423\/8. Let v(u) = -11*u**2 - 11*u + 7. Let y be v(-9). Let g = 3123\/4 + y. What is the common denominator of i and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -18767192 and 55.\nAnswer: -1032195560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 649, 1188, 1727, 2266, 2805?\nAnswer: 3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/1427 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 206413139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 - 446 = -5*n. What is the highest common factor of 2231 and n?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) + -2)*-2.\nAnswer: -18*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/9 and 41\/374?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212 divided by 4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.2 + 1.4. Let y = 0.2 + -0.1. What is the second biggest value in n, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 10.353 from -0.16456268.\nAnswer: -10.51756268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001098911021 to 7 decimal places.\nAnswer: -0.0010989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 458263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(99)*-1 - sqrt(99)) + 0)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12002110021102 (base 3) to base 12.\nAnswer: aa583b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -185, 81.\nAnswer: -185, -3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 86 = 418. Suppose -3*v + l = -5*b, 34 = -4*v + 5*v + b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + l**2 + 1. Let a(q) = -8*q**3 - 4*q + 5. Let h(z) = a(z) - 6*f(z). Let v be 1 + (1 - 0) + -6. Is h(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 282113.\nAnswer: 13, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 198 + -4?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -21*m**4\/5 + 229*m**3\/5 - 482*m**2\/5 - 804*m\/5 - 72\/5 = 0.\nAnswer: -1, -2\/21, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 6\/7, 0.055, 0.1, -11\/2 in decreasing order.\nAnswer: 2, 6\/7, 0.1, 0.055, -5, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -262.91 + 262. Round t to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1432727 + -6282.\nAnswer: 1426445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -2, -0.3, 3, 105, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -2*f + 16, 17*f - 3*q = 16*f - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmppppppppppp. Give prob of sequence pp.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -14c3869?\nAnswer: 14c3870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/5 + 999*l\/5 + 88642\/5.\nAnswer: -(l - 1081)*(l + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/272 + (-1886)\/42228?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1)\/(-27))\/((-700)\/10360) and -73\/195?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10656 divided by 6?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 112877 = 28377. Suppose 45*j = -m + 31310. What are the prime factors of j?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**24*z**(-6\/23) assuming z is positive.\nAnswer: z**(546\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 102, 203, 304?\n\"Answer: 101*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by -34568?\nAnswer: 17\/34568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d + 6*d + 33. Let n(m) = -4*m - d - 1 + 9*m**3 + 3 + 13*m**2. Let u(w) = 2*w**3 + 3*w**2 - w - 2. Give -6*n(g) + 26*u(g).\nAnswer: -2*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.7, -0.1, -4\/15, 17, 1\/2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0*(1175\/325)\/(-47)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {e: 1, p: 1, w: 2, x: 3, q: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -156 + 1251\/8. Let l = -5 + 0. Put 0.4, a, l in decreasing order.\nAnswer: 0.4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nonn when four letters picked without replacement from {o: 3, n: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 9:26 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10918 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (9\/6)\/(18\/3444). Let h = 423 - t. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 + 85*o**2 - 58*o - 103. What are the prime factors of d(-43)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77 - -168. Let u = h - 227. Calculate the smallest common multiple of u and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-7 - -5)) + (-6)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**5 - 1844164 + 12922*g**4 - 5535208*g - 7521*g**4 - 1852315*g**3 - 5540641*g**2 - 8120*g**4.\nAnswer: -(g + 1)**3*(g + 1358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(-3)*y*y)**(-20)\/(y*y*y**0)**(5\/11) assuming y is positive.\nAnswer: y**(-1550\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c. Let t(d) = -d**3 - 6*d**2 + 74*d + 471. Let k be t(-7). Let x(m) be the first derivative of -1\/2*m**k - 3 + 0*m. What is x(z(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (14 + -7 - 7) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 8. Suppose -5*r + 74 = 3*i, -p*i = -0*i - 12. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 13*v + 133. Determine r(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 114 - 109. Suppose 0 = t*x + 97 - 122. Solve x*z + 17 = -3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**2. Let i(k) be the second derivative of -k**4\/4 + 16*k. What is i(g(u))?\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.17 + -0.14. Let k be 100\/1200 - (-26)\/264. Let l = -2.5 + 0.5. Sort s, k, l in ascending order.\nAnswer: l, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 + 19 = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9738 = -2*v + 1550. Let c = 32679\/8 + v. Find the common denominator of c and -47\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 117\/(-39)*((-32)\/24)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 4127299. Let u be d(0). Let f = 2172701 + u. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {p: 1, u: 1, l: 1, m: 1, d: 4, x: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (21\/(-108))\/(67\/268*-14)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10619 = -5447*j + 39090 + 25226 + 246438 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8261 + -0.3555.\nAnswer: -8261.3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 7:14 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 426 = -4*z + 389, 5*z + 45 = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*k - 4*u - 13, 0 = -3*k + 3*u + 39. Suppose -k*w + 462 = 2*w. Let i = 244 - w. What are the prime factors of i?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399\/23 less than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + 3*l - 2 - 9*l)*(l**2 - 2 + 2).\nAnswer: -9*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 29\/(-3))*6. Let b = -1 - c. Let r(n) = -25*n. Let j(v) = -3*v. Suppose -7*g - 6*g - 78 = 0. Calculate b*j(y) + g*r(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 209475324 a multiple of 2468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 203, 503, 827, 1181, 1571, 2003?\n\"Answer: x**3 + 6*x**2 + 275*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b - 24. Let s be w(15). Let q be (1\/2)\/((-2)\/(-24)). Calculate the greatest common divisor of s and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -644991*t + 9*t**2 - 23 + 5 + t**3 + 644989*t. Let c be (3 - 15\/2)*2. Let g be b(c). Solve g*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q + 4*q - 3*q + 1 - 21*q**3 + 17*q**3 to h*q**3 + x + s*q**2 + l*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -401, -2988, -9961, -23510, -45825, -79096, -125513?\nAnswer: -187266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -2a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.19 and 155?\nAnswer: -184.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 16*q + 17. Let r be o(15). Suppose 0*z - r = -z. Suppose z + 4 = 3*g. Solve u + g = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 155*z - 1314.\nAnswer: -(z + 9)*(z + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -169*l**2 + 143. Let z(j) = 7*j**2 - 6. Give -6*m(x) - 143*z(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 326 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**4\/4 + c**3\/2 - c**2\/4 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0376 - 0.3814. Let t = o - -0.064. Let l = t - 2.635. Round l to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/22*(-10373)\/15088\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*q + 34 = 0, -p = -3*p + 3*q + 66. Let y(d) = -d**2 + 3*d + 5. Let b be y(6). Let o = p + b. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 2*n. Let x = -2 + 3. Let u be 1\/(x - 4\/6). Let r be t(u). Solve -2*g + 3*f + 14 = 4, 3*g + r*f - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzgg when four letters picked without replacement from {u: 8, k: 1, s: 1, g: 8, z: 2}.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.40005km to meters.\nAnswer: 63400.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 0\/1) + -21. Let o be (-1)\/3 + (-132)\/s. What is the units digit of o - 1*(-3 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710710 is divided by 25380?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34 - 94. What are the prime factors of 11\/(-5) + 2 - 2352\/z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 8:11 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + (-1*sqrt(2736) - sqrt(2736))**2 + -1 + sqrt(114)\/sqrt(96))*-5.\nAnswer: -54715 - 245*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -160 divided by 1\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-2) + -11 + 280\/(-20) + -7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4968 + 5014. What is the remainder when 288 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -6. What is the biggest value in 0.1, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6019675524 to the nearest integer?\nAnswer: 77587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/925 in -0.5, -60, 0.0742?\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122069857.\nAnswer: 7, 13, 47, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 516 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7255*j*r**3*x**2 - j*r**3 + 18*j*r*x + j*x + r*x**2 - 55*r*x wrt x.\nAnswer: -14510*j*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 70 = 2*i. Let t be 2*(-2 + i\/4). Let q(r) = -2*r. Calculate q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (34\/(6800\/(-780)))\/(4*3\/(-10))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-16)\/6)\/(19 - (-6675)\/(-351)). Calculate the highest common factor of b and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 932, 1, 3, -6, 4, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -2\/3  (c) -1  (d) 0.3  (e) -14\/9  (f) -0.04  (g) -2\/477\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -120 - (14 - (-11 - (-47 - -22)))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-190)\/(-228)*8\/50.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20253641*z**3 + 13448267*z**2.\nAnswer: 121521846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + -2 + (1 - -1). Suppose 0 = -s + 4 - g. Calculate the remainder when 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10284479 is divided by 5682.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1794*b + 1796*b + r + 11 + 12, -11 = 2*b - 3*r for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/3)*z\/z**0)\/(z*z**(2\/3)*z*z)**(-3))**17 assuming z is positive.\nAnswer: z**(578\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 7*g**4 + 5*g**2 - 2*g. Let l(w) = 8*w**4 + 6*w**2 - 2*w. Let t(d) = 6*i(d) - 5*l(d). What is the second derivative of t(c) wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-1 - (-44)\/48). Is j\/(-10)*(-35)\/(-14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 8*b + 4. Let a be x(8). Suppose 9*p - 700 = a*p. Let t = -79 + p. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-105)*25\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4*i - q - 24, 5*q = -4*i + 25. Let s be (-35)\/i*(-1200000)\/(-14). What is s rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -4*s - 64. Let v be o(-16). Suppose v = 4*a + 3*p - 1428, -7*a + 9*a - 740 = 5*p. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/15)\/(13*371\/55120).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76\/7 - -326\/21. Factor k*g**2 + 0*g - 8\/3 - 2*g**3.\nAnswer: -2*(g - 2)*(g - 1)*(3*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69577 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 1:28 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*p**5*u + 4*p**3*u + 9*p**2*u - 3*p**2 - 2*p*u wrt p?\nAnswer: 180*p**2*u + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 - 23. Suppose -37 = -a*i + 207. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 6337 + 1451 = 0. What are the prime factors of z?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368*y + 53 + 2249 = -5794 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nbnbnhbhhnnwbbnnb?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2 - 1. Sort t, -1, 5 in ascending order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -13. Let j be 3*(-3)\/i*2. What is the first derivative of 0*w**j - 2*w**2 + 4 - 3 + 1 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001100101111011011 - -100011?\nAnswer: -110001100101110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c - 7. Let t(f) = 137*f - 11. Calculate -q(o) + t(o).\nAnswer: 139*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 - -81. Solve -2*z - 3*k = 13, -2*z - 5*k - c = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -110 - -160. Let d be (6\/(-5))\/((-165)\/k). Find f such that 30\/11*f**4 - d*f + 2\/11*f**3 + 0 + 18\/11*f**5 - 14\/11*f**2 = 0.\nAnswer: -1, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 3\/1808?\nAnswer: 3\/1808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2160 = -5*b, 2*b = 3*b + 4. Let x = c + -377. List the prime factors of (13\/((-260)\/x))\/(2\/(-40)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-10) - 1012\/(-20). Suppose 0 = -0*n + n - f. Suppose -4*c = -33 - n. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 4*u**2 - 2*u + 14. Suppose 3*f - 4*f = -5*m + 33, 2*m - f - 15 = 0. Let t be y(m). Let l(c) = -15*c - 1. Let h be l(-5). Is h < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4746 - 4680. Calculate the greatest common divisor of p and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-4)\/(-120))\/((-10)\/(-258)*1) and (-1112)\/(-18)*5\/(240\/(-18)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 298, 3, -3\/5?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 7.7. Let l = -20 + 29. Let f(s) = -s**3 + 8*s**2 + 12*s - 23. Let i be f(l). Which is the second biggest value?  (a) i  (b) 3\/5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cpxccxpcxccc.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of p**2 - p**2 - p + 4*p**4 wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -5. Let w(d) be the first derivative of -2*d**2 + 7 - 2*d**z + 6*d**2 - 4*d. What is the first derivative of w(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55 and 419542035.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**3 + 3*t**3 - t**3 + (t - 4*t + 4*t)*(-t**2 + 2*t**2 - 2*t**2).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118128 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 68, 70, 36, -46?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34.15 + -37. Let f = -161 + n. Let p = 169 + f. Round p to one dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3722?\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from {n: 2, f: 1, s: 1, d: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 343.3322 litres to millilitres.\nAnswer: 343332.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.029105 years in months?\nAnswer: 72.34926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n + 5 - 2 + 1. Let b = 7 + -3. Suppose -b = 4*o + 16. Give l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -386 - -410. What is the nearest to -0.1 in -1, -0.2, m, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.029694007 from -481831.\nAnswer: -481831.029694007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769707843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 320211 (base 4) to base 9\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-two ninths of a week?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*h + 4, -2*h + 5 + 3 = -4*p. Let m be (0 - -1)*p + (21 - 17). Suppose m = -2*z + 369 - 23. What are the prime factors of z?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5938414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 2 = 27. Suppose -4*h + 4*d = 0, 2*h + t*d = -3*h + 20. Solve 0 = -5*f + h*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 689 + -652. Solve -4*p - y + 29 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of 1\/30*o**5 - 1\/6*o**3 + 0 + 1\/12*o**4 + o**2 - 29*o. Determine h(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 16 = -3*i. Differentiate -59 - 216*f**i + 42307*f - 13 - 42307*f wrt f.\nAnswer: -432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-18) - 12\/(-54). Factor 20*p + 5*p**4 + 77*p**3 + 11*p**2 + 5 + 19*p**2 + s - 57*p**3.\nAnswer: 5*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1680\/(-49))\/((-960)\/(-1344))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86122, -172298, -258474, -344650, -430826, -517002?\nAnswer: -603178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 0\/1 + 5. Suppose -a*p + 4*p = 6*p. Let r = 135 - 129. Solve p = w - r*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/3 + (-8272)\/308. Is -0.1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 31159315 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1952, 7842, 17662, 31412, 49092, 70702?\n\"Answer: 1965*f**2 - 5*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/5)*y**(-4\/11) assuming y is positive.\nAnswer: y**(2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 467160 = 43*f - 449299. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 62 + -37. What is the derivative of -65 + 18 + 13 - a*c wrt c?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3*c - c - 828 = 0, g = 2*c + 204. Let n = 118 - g. What is n rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -6*x + 31. What is the remainder when 63 is divided by y(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 4. Let v be (6\/(-4))\/(3\/q). Suppose 1 = -v*m - 9. Sort 5, m, -1 in increasing order.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51987500 divided by -25?\nAnswer: 2079500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9509676471 - 60677?\nAnswer: -9509737148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - 6*p**2 + 7*p**2 + 84*p**3.\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -203 * 13.\nAnswer: -2639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/73 and -19.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcdcccccccdccccdcccc. Give prob of sequence cd.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10788 = -8853*x + 9752*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -108*m**4 + 77*m**3 + 2*m**2 + 199881*m wrt m.\nAnswer: -1296*m**2 + 462*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 393 (base 11) to base 10\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2530164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 57212, 114614, 172054, 229550, 287120, 344782?\n\"Answer: 3*i**3 + i**2 + 57378*i - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/6 - (6 + 492\/(-99)). Let m = -0.8 - -0.5. Which is the second smallest value?  (a) 4  (b) h  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5221692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1))**(-3\/43)\/(o**(-1\/2))**43*(o**(-2))**(-45)*((o**(1\/3)\/o)\/o*o*o*o*o*o)\/(o**(3\/4)*o) assuming o is positive.\nAnswer: o**(58387\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11332330322 (base 4) to base 13.\nAnswer: -42bc63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (3 + 0)) + 6 + -26 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 107823109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**3 + 8*c**2 - 14*c + 1. Give o(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 2. Let v(h) = -h - 1. Let p(w) = 2*c(w) - 3*v(w). Suppose 4*q - 63 = 77. Suppose 5*m - q = -5*o, -3*m + 11 = 2*o - 7. Give p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10075 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s. Let w = 145 + -113. Let u(x) = w*x + 28*x - 59*x. Determine u(t(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 9:06 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 133199 at least as big as 131063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/(60\/873)*((-648)\/(-88) - 7). Which is smaller: t or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15076280 to the nearest integer?\nAnswer: 3883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 896 times 1?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 9:36 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330326.\nAnswer: 2, 23, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2384 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.13 + 4.87. Let q = -10 + v. What is the nearest to 0.1 in -4\/9, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 5*d**2 - 4*d + 14. Let y be h(-6). Solve y*i + 15 = 4*r - 3*i, r - 4*i - 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 484466317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 190*w + 2287. Give u(-11).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + 11 + 0 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -269 + 1921 + h - 20 - 604 - 60. Let f(p) = -p**2. Calculate u(f(s)).\nAnswer: -s**2 + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o**3 - 2*o**2 + 3*o - 12. Let w be t(7). Suppose q + w = -979. Let l = -1132 - q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 - 78. Is (-2922)\/m - 78\/(-91) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-552)\/(-1794))\/((-48)\/(-84)).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1419, -5657, -12719, -22605?\n\"Answer: -1412*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*q = 10769 + 4317. Suppose 1008 - q = -13*o. Which is bigger: o or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 + 32 + 2*l**2 + 15*l + 10 + 2*l + 25.\nAnswer: 2*l**2 + 17*l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18.255 - -12.255. Let z = 0.3 - 0.3. Let l = z - -0.1. What is the closest to l in 1\/5, s, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (323*s - 2060 + 4105 - 2051)*(2*s**2 + 2*s**2 - 7*s**2).\nAnswer: -969*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 66239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 4. Which is greater: v or 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 14*m**2 - 11*m - 18. Let h(y) = 5*y**2 - 4*y - 6. Let c(p) = -11*h(p) + 4*t(p). Let d be c(-4). Suppose 0 = -2*u + 5 + 5. Solve -u*b - d = -35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.08 to 2 decimal places.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = u - 1. Let c(k) = 16 + u*k**3 - 60*k - 3*k**3 + 61*k - k**2. Determine c(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {z: 5, g: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.936606 to 3 dps.\nAnswer: -2.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 91 - 16. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(50)\/(sqrt(100)\/sqrt(10)))**2 - ((sqrt(10)*1)\/sqrt(2))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2996153?\nAnswer: 2996153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10102382841386 and 7.\nAnswer: -10102382841379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14653 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1410)\/(-9) + 4 + (-70)\/15 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3)*(-3)\/(-1). What are the prime factors of 4 - (-3 + (o - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13139111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -5 + (19 - 2) + -13 - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42331 + -10?\nAnswer: 42321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*f - 42*f + 2*j = 22, 2*j = f + 4 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 11:34 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 25295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**2\/4 - 83*q\/4 - 777 = 0. What is q?\nAnswer: -28, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*h**3*m**2*z - 2*h**3*m*o*z - 24*h**3*o**2*z - 2*h**3*o**2 + h**3 - 2*h*m**2*o**2 - 3*h*z wrt o?\nAnswer: -48*h**3*z - 4*h**3 - 4*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68215 by -1.\nAnswer: -68215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0434, 3, 11\/107, -17.\nAnswer: -17, -0.0434, 11\/107, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 5*o - 4. Let r be m(-4). Let l(i) = i + i + i + r. Let s(h) = h**2 + h. What is -l(u) + 2*s(u)?\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(264\/572*-4*3\/36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -43*t + 1. Let d be o(-3). Let c(k) = 30*k - 304. Let v be c(11). What is the highest common divisor of d and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1471.3 greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o + 15, -56 + 42 = y - 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6*((-1350)\/12)\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiibbbi. Give prob of sequence bib.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -873204759*g**4 - 559448714?\nAnswer: -3492819036*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114 + -199. Let m = z + 84.28. Are -1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7827 + -4049. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 362565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 2*q**2 - q**2)*(5 - 2*q**3 - 5) - 3*q**5 - 4*q**3 + 4*q**3 - 2*q**5 + 4*q**5 - 4*q**5 + (-5*q**2 + 12*q - 12*q)*(-3*q + 3*q + 2*q**3).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 6*a + 30. What is the least common multiple of (a\/5)\/(4\/12) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 69095 (base 10) to base 15\nAnswer: 15715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 10*s**2 + 17*s - 3. Let u be o(8). Solve u*q = q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -23, -36?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -267914*c + 6*b - 22 = -267916*c, -5*c - 25 = -5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 4*y + 23, 11 = 3*q - 0*y + 2*y. Let x = 62 + -51. Factor j**4 + 2*j**4 + x*j**5 - 14*j**q.\nAnswer: -3*j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1172, 1174, 1176?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306 is divided by 101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/39 in -2, -5, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, i: 4, j: 2}. What is prob of picking 1 j and 1 i?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.09423 + 0.29423. Which is the closest to 5?  (a) 0  (b) f  (c) 0.3  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 234 and 12402.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -55*d**4*q**2 + 4474926*d**3*q**2 + 5*d**2*q**2 - 26745508*d**2 wrt d?\nAnswer: -1320*d*q**2 + 26849556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-81)*405\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390*y - 219*y + 189*y.\nAnswer: -420*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 3*m - 12 = -2, m + 22 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.52222 hours in microseconds?\nAnswer: 189079992000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/2  (b) 5  (c) -2.6  (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 462401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 44*p**2 - 327*p - 17. What is d(7)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*2\/(-8)*2. Let v be -1 - 8*(33\/(-12) - -2). Solve -2*u + 3*k + 9 = t, 3*u + v*k + 15 = -0*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18000000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 220897, 4, -3 in ascending order.\nAnswer: -16, -3, 4, 220897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21484*j + 2751 - 42956*j + 21475*j to n*j + m and give m.\nAnswer: 2751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 12*b. Let o(y) = y**2 + 28*y + 61. Let d be o(-26). Let v(g) = 7 - 16 + d + 2*g. Give x(v(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4096 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9\/5, 56, -2\/9, 1\/6, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -130*n**2 + 7*n - 4. Calculate u(1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -70.107 times -530.8\nAnswer: 37212.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -4, -7218, 1, 5 in increasing order.\nAnswer: -7218, -4, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1 + sqrt(192) + -5 + 1*(sqrt(192) + 1) + -5)**2.\nAnswer: -192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 39*u**2 - 9\/2*u**4 - 81\/2*u + 27\/2 + 3\/2*u**5 - 9*u**3 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/11?  (a) 2\/2261  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 18520?\nAnswer: 18520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 u when three letters picked without replacement from {q: 2, a: 4, u: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*l - 312 - 286 - 311 + 1217 - 305.\nAnswer: 102*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 42. Let z = 85 + -81. What is the units digit of 3\/z + (-147)\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5335360974.\nAnswer: 2, 3, 61, 179969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -94 divided by -632\nAnswer: 47\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 2 + 12*q**2 + 0 + q**2 to z*q**2 + b*q + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1412768147*d**2 + 900263182 wrt d?\nAnswer: -2825536294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6758, 7023, 7262, 7475, 7662?\n\"Answer: -13*a**2 + 304*a + 6467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -515663 (base 7) to base 9.\nAnswer: -144342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -293086692.3 times -0.3\nAnswer: 87926007.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10448526*o**2\/5 + 62691147*o\/5 - 54\/5.\nAnswer: 3*(o + 6)*(3482842*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*v + 70*v = 4*j + 10, 3*j + 4*v = -2*v + 3*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -8470.246 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 16, 37, 66, 97, 124, 141, 142?\n\"Answer: -k**3 + 10*k**2 - 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -261 + 349. What is the remainder when h is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((1 + sqrt(76))**2 - (sqrt(2299) + -2))*-6 - sqrt(38)\/((sqrt(2) + sqrt(24)\/sqrt(12) - sqrt(2))*-2)*6).\nAnswer: -948 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 10*p**2 - 10*p + 13. What is the remainder when 119 is divided by k(11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 4*l + 1600, -2*l = 2*o - l - 791. What is the remainder when o is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -1 - 3) + -8 - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of -15*n**2 + 0*n + 1\/12*n**4 + 4\/15*n**5 + 0*n**3 + 0. Find the second derivative of b(u) wrt u.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 56*i**2 + 34*i - 104. Let x be w(3). Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*u + 5*u + 495. Let l = u + -60. What is the remainder when 114 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007824 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 330203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 + -0.8. Let o(y) = -y**2 + 3*y - 1. Suppose 2*u - 3 = 1. Let z be o(u). Which is the closest to z?  (a) s  (b) 0.5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, j: 1, y: 4}. Give prob of sequence yy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 11. Let f = 2.99 - -0.01. What is the nearest to -0.1 in f, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295155774?\nAnswer: 2, 3, 31, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3953222.\nAnswer: 2, 7, 13, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10*3\/(-2) + 0\/(-3). Calculate the highest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 560.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.190488017 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8816907*d - 13861905 wrt d.\nAnswer: 8816907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 4*o - o)*(-6 + 6 + 5) + 13 - 5*o - 13 - 4*o + o + 2*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1897 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-4 - 35\/(-10)). Which is bigger: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/16 and 77\/328?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200 - -2001?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10065 (base 7) in base 15?\nAnswer: ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.47 - -1.53. Let l = 2.9 + i. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 divided by -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p**2 + 54*p - 99. Let x be i(2). Calculate the highest common divisor of 3395 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.0077 + -0.9077. Suppose -3*q = -4*m - 0*m - 1, -4*m = q + 5. Which is the nearest to 0?  (a) 3  (b) y  (c) m  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100102002201120 (base 3) to base 6\nAnswer: 255110540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0*m - 12 = -5*m, 0 = 4*q - 3*m + 12. Let v(j) = j**3 + 9*j**2 - 22*j - 2. Let h be v(-11). Put h, -1, q in ascending order.\nAnswer: q, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(i\/((i\/(i\/(i*i\/((i\/i**(1\/61))\/i)*i)))\/i))\/i*i)**(-1\/39) assuming i is positive.\nAnswer: i**(-20\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -3 - 3. Let n(t) = -t**2 - 4*t. Let v be n(-3). Let f be (-7 - -2) + 3\/(-2)*-2. Sort v, f, b.\nAnswer: f, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 18 = -5*r, a + 2*r = -4*a + 25. Let v be (-1)\/(-2)*0 + a. Let m = 6 + v. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = t - h + 22, -4*h + 8 = -4*t. Let m be t\/(-3) - (-6)\/(-18). Let j(a) = -4*a**m - a**3 + 2 + 4*a**2 + 2*a**2 - 7*a + 3*a. Calculate j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 67*u - 70*u + 22, 3*u - 5*l = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + y - 2*y)*(-15 + 15 + 10*y) + (-4 + y + 4)*(-3*y - y + y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/3 + 6\/(-9). Suppose 3*v - 3*b - 23 = v, -g*v = -2*b - 18. Let k = 44 - 40. What is the greatest common divisor of k and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117097459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 301 + -2103?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -0.5  (c) 54  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -122.60000049 - -122.6. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24 - 13*c**2 + 24 + 2*c - 2*c + 3*c**2 + (-c + 0*c - c)*(-4 - 2*c + 4) + 6*c**2 - c**2 + 0*c**2)*(-c**2 - c - 2*c**2 + c**2).\nAnswer: 2*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 8) + (-26 - -92) + -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24759 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1820898 or -1820897?\nAnswer: -1820897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -164*-111.8484.\nAnswer: 18343.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 4*f - 49 = -67, -3*f = 13*h - 289 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 16) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158805 is divided by 52885?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 2*x**2. Let t(u) = 32*u**3 + 4*u**2 + 4*u + 1. Give -t(b) + 2*v(b).\nAnswer: -34*b**3 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-13604)\/21480)\/(6\/45)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 17*l**2 + 2*l - 3. Calculate the remainder when ((-108)\/(-48))\/((-2)\/(-40)) is divided by n(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c*f*g - 7*c*f + 168*c*g + 1063*c - 2*f*g + 140*f - 3*g - 78 wrt c.\nAnswer: -f*g - 7*f + 168*g + 1063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 66787 and -0.195.\nAnswer: -13023.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1809 and 12649734.\nAnswer: 37949202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.15 + -16.85. Let q = -17 - w. Put q, -0.4, 2\/5 in increasing order.\nAnswer: -0.4, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 4*k = 3, -3*k + 19 - 22 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107 + 108 + 16*x**2 + 8*x**2.\nAnswer: 24*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -67*t - 10. What is the tens digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r + 5. Let j be z(6). Let q be (j - -2)\/(-3 + 2). What are the prime factors of 5\/1*(0 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 + -24343?\nAnswer: -24323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (9 - 3) - (2 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 divided by 14174?\nAnswer: 28\/7087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -1)*(-9)\/(-27)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 5*c - 1535, 24*c = 4*i + 23*c + 2085. Let u = -271 - i. What are the prime factors of u?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 1229 = -5*j - 1257, -5*j - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7\/8 + -5\/24. Which is the closest to -3?  (a) -1  (b) -1\/9  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2805316.51 to the nearest one thousand.\nAnswer: 2805000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -20\/3*f**3 + 25\/4*f**4 + 10 + 0*f - 5\/2*f**2. Factor x(j).\nAnswer: 5*j*(j - 1)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 348 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 5. Determine j(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 26*l - 1. Let c(h) = -5*h. Let r be ((-88)\/12)\/((-6)\/9). Let p(o) = r*c(o) + 2*m(o). Differentiate p(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70 - -844.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - k + 15 = -0*y, 4*y + 2*k = 10. What is the lowest common multiple of (-28)\/12*(-1 - 14) and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 13*f - 12. Let d be t(2). Let k = d + -15. Let h = -0.1 + -0.9. Which is the nearest to h?  (a) k  (b) 5  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45 + 79. Let k be (-1260)\/(-306) - 4\/y. Solve p - 3*t = 2*p + 10, -k*p - 3*t = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1521\/1699?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -6*t - 3. Let v be z(-5). Let b be 4 - (-1450)\/(-2)*(-26 - -25). What is the greatest common factor of b and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-12) - 14\/(-84)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 10. Let i be 3\/((9 + 804\/(-88))*2). Let d(m) = 3*m - 31. Calculate i*w(o) - 4*d(o).\nAnswer: -o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-3)*56\/98\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r**5 - 327*r**4 - 45*r**3 + 957*r**2 - 411*r - 162 = 0.\nAnswer: -27, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 1798 and 1819 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + 1 - (1 - -6). Let l be 3\/9 - 2\/c. Suppose 0 = 5*g + l + 54. Is g less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2404843 is divided by 109310.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*d - 1081 = 139*d - 228*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 1243 = 200*q + 109*q, -5*k - 31 = -q for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 16. Suppose -l = -n*l - 4. Is (-2)\/l*892\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1070 divided by -214\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-69)\/23*10\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1097 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -100 + 16. Let c be 1\/(-6) - (191612\/d - -2). Let f = 2283 - c. What is the common denominator of f and -11\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 7*c**2 - 5*c - 2. Let h be v(-6). Let k be 1 + 2\/2*3*53. What is the highest common divisor of h and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1133 - 1138. What is the closest to 1 in -3, -4, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 428 and 32?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6273815 is divided by 361.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 3 + 261*i + 22*i**3 + 263*i - 519*i. What is the units digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-230)\/276*(-12)\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 10:42 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 113530174997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, 0.12, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence su when two letters picked without replacement from gusjhjs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5873 a factor of 1200819048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3414405 times -0.02\nAnswer: 68288.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.27, -0.1, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*n + 20, 2*n + 10 = -2*r. Let p be (r\/2)\/(1\/(-2))*3. Suppose -10 = -i + p. Solve -3 = -2*j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/13)*d**30 assuming d is positive.\nAnswer: d**(392\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 143\/10 - 104\/5. Let o be 6\/(-5)*(-10)\/(-4). Which is the third biggest value?  (a) o  (b) 1\/4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 324\/270*(-10)\/54\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 21945403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o**2 - 5*o - 6. Let u be c(-3). Calculate the highest common factor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3*c = 15. Let l be (c - 5\/2)*-34. Let o = -12 - l. Solve p = o*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1373, 54, 3, 1 in descending order.\nAnswer: 1373, 54, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1831*a - 1831*a - 11*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40a2 (base 14) to base 15.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9517854 + -9517849.900019. Let y = 8.7 + -4.6. Let v = g - y. Round v to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 25 = 5*y, -3749 = -4*a + 5*y. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33.4952*-0.2.\nAnswer: 6.69904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 360, 490, 440, 240, -80, -490, -960, -1460?\n\"Answer: 5*g**3 - 120*g**2 + 455*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*t + 6. Suppose 0 = -3*s - t*y - 8, 4*s - 18 = 2*s + 2*y. Let v be -10 - 20\/(80\/(-42)). Sort v, 5, s.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 712\/2*(-26)\/(-8)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -394 - -394. Solve o = -2*n + 3 - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*t - 15459111611 + 15459111611.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -8*y + 3*y, -4*y - 12 = -2*p. Suppose -26 = -2*i + 2*r, -p*i + r = -r - 44. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, 5, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 417 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: Simplify ((sqrt(102)\/(sqrt(6)*-2 + sqrt(6)) + sqrt(17))**2 - sqrt(816)\/sqrt(3)) + (sqrt(153))**2 + sqrt(17) + 2 + (sqrt(204)\/sqrt(300))**2.\nAnswer: -3*sqrt(17) + 3892\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-5*(5 + -5 + -2*sqrt(288)) + -1)**2.\nAnswer: -240*sqrt(2) + 28801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.11*1198.447\nAnswer: -131.82917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -603 + 644. What is the highest common factor of 41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 602762\/17 less than 35458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 167*m**3 + 4*m**2 - 3*m. What is the hundreds digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -533 (base 12) to base 10.\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 111*c**2 - c. What is the remainder when t(-1) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -62*h - 22. Let x be i(-9). Suppose 205 = 3*n + b - 202, 0 = -4*n + 2*b + x. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88 by -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 567689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (148*-1)\/((-10)\/90). Suppose -7*z = -2042 - s. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.6757438 to 2 dps.\nAnswer: 9.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 36\/5*t**3 - 51\/5*t**2 + 3*t = 0.\nAnswer: 0, 5\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -461, -1017, -1573, -2129, -2685?\n\"Answer: -556*t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*p - 468 - 479 + 1409 - 462.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 + 104*d + 185. Determine k(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**2 + 105*b + 270.\nAnswer: 5*(b + 3)*(b + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1.86 - -0.31\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 3*f = 8. What is the third derivative of 2*m**2 + 117*m**6 - 118*m**6 - m**f wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -4. Let n be ((0\/b)\/(-2 + 0))\/2. Are 0 and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iscc when four letters picked without replacement from imsoomocsmcimcm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/91 and 5\/8?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/303522982 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -13*s**7\/70 - 4*s**5\/3 + 87*s**2. Find the third derivative of n(o) wrt o.\nAnswer: -936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 156.4 - 162.4. Which is the smallest value?  (a) f  (b) -0.5  (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48664550 to the power of 1\/2, to the nearest integer?\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5, 3, 1?\n\"Answer: -2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 7683466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4598)*1)\/(sqrt(288)\/sqrt(9))*6.\nAnswer: 33*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28577246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - 14.4. Let r = 19\/2 - 9. Let v = 50 - 49. Which is the nearest to v?  (a) y  (b) r  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-2*sqrt(168) - sqrt(168))\/(-2*(sqrt(30)\/sqrt(5) + sqrt(6) - sqrt(6))))\/((-5*(-3*sqrt(12) + sqrt(12)))\/((sqrt(3) + (sqrt(12) - sqrt(3)))*2)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 12 = -5*t, -21*r = 2*t - 16*r + 37. Let p(o) = 1. Let k(f) = 8*f + 5. What is t*k(y) + 6*p(y)?\nAnswer: -8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -0.3  (b) 5  (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4*b**3 - 11*b**3 + 13*b - b**2 - 11*b - 11*b**4 + 7*b**3 + 6*b**3 to the form p*b**4 + h*b + l + m*b**3 + u*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -225484, -450964, -676440, -901912?\n\"Answer: 2*q**2 - 225486*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/35256 and -167\/3390.\nAnswer: 176280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 7*c + 10. Let f be i(12). Let g be f\/(-12) + 7\/(-42). Let h(l) = -l**3 - 7*l**2 - 8*l - 9. Calculate h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 500\/(-450)*135\/(-175)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*t = -2*t - 17, -23 = -3*l - t. Suppose h - l = -1. Let y be (-2)\/(-4) + (-26)\/68. What is the biggest value in -0.3, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 9.8  (c) 11  (d) 5  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 - 26. Let d be (-10)\/(-14) + 6\/21. Is d less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -209 and -13?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2013 - 1334621\/663. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (11 - 6)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 3:15 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 + 28 = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8211, -8226, -8251, -8286, -8331, -8386, -8451?\n\"Answer: -5*b**2 - 8206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 137.81 less than 1.13?\nAnswer: -136.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - h**2 + h. Let w(r) = -9*r**3 - 5*r**2 + 5*r + 3. Determine 5*a(i) - w(i).\nAnswer: 4*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 277159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 10598354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 131  (b) 5  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 86 - 82. Suppose -5*v + 60 = g*f, 3*v - 11 = 5*f + 25. Suppose 13*s = v*s + 32. Which is the nearest to 1?  (a) 0.4  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -92031*g - 368762. What is r(-4)?\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(220)\/(sqrt(99) + -2*sqrt(99) - sqrt(11))*-5)\/(2*sqrt(490)*-1*6).\nAnswer: -5*sqrt(2)\/336 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -6 + (-549)\/72 - -1 and (-4)\/(-6) - (-622)\/(-60)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 470 = 2*l - 7*l, -3*n = 3*l - 294. Let f = 130 - l. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1045 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l**3 + 4*l**2 + 4. Let z(x) = 5*x**3 + 9*x**2 + 9. Let b(t) = 3*t**3 + 5*t**2 + 5. Let j(n) = 7*b(n) - 4*z(n). Determine 4*j(g) + m(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*o + 553 = 182 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 95317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**3 + s. Suppose -22*p = -18*p - 4. Suppose c - p = -m, -2*m + 8 = -c + 5*c. What is the tens digit of y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -178338518 divided by -7.\nAnswer: 178338518\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 2:39 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 + 20*b + 52. Let l be c(-4). What is the second derivative of -4 - 5*q + 18*q - q - l*q + 62*q**5 wrt q?\nAnswer: 1240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -21*i**3 + 12*i. Let z = 3350 + -3351. Let b(q) = q**3 - q. Give z*c(s) - 12*b(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56156383 to the nearest integer?\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 96409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 5*v + 44. Let q be p(13). What is q rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6647 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y**2 - 5*y + 1. Let o = -2 - -8. Suppose -o*a + 3 = -45. Suppose 2*k + 2 = -a. Let w(d) = -9*d**2 - 9*d + 2. What is k*s(c) + 3*w(c)?\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/4)\/(147\/(-588))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 38*s**3 + s**2. Let q be c(-1). Let z = q - -48. Suppose h = -z + 75. What is the remainder when h is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 169\/(-2704)*(-16)\/27\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 680 - 676. Let v(y) be the first derivative of -y**5 - i + 0*y**4 + 0*y - 11\/2*y**2 + 0*y**3. Find the second derivative of v(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14681 divided by -11?\nAnswer: 14681\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 16319, 8, 22, 1 in decreasing order.\nAnswer: 16319, 22, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 5.84. Let a = j - -116.84. Let v = -116.99898 + a. Round v to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122811, -122814, -122819, -122826, -122835, -122846, -122859?\nAnswer: -122874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-1\/4)*i)**(-47)\/((i**(2\/5)*i)\/(i\/i**(-9))))\/((i**(-4\/13)*i)\/i**13)**(-3) assuming i is positive.\nAnswer: i**(-28749\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 9*k**2 + 11*k + 11. Let a be z(-10). Let d be -1 + 1 + a + 4. What is the first derivative of -d*u**3 - 1 + 5*u**3 + 2*u**4 wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -12252, -24738, -37230, -49728, -62232?\n\"Answer: -3*c**2 - 12477*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -475*y + 249*y + 2 - 2 + 271*y.\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 549 = p + 42, -3*i = -4*p - 404. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**3 + 4*o**2 - 5. Let t be m(-5). What is the common denominator of 57\/10 and t\/12 + (-4 - -6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*p**3 - 6*p**2 + 12*p**2 - 41*p**3 - 6*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52376.\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 77633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 10 = -10. Suppose 0 = -10*s + 45 + 5. Solve s = -o*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2788460 divided by -139423.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1122202010 + 12002211?\nAnswer: -1110122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -63\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-40)\/(-12)*((-244)\/(-20) + -11). Solve -o*b = 374 - 390 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0*l - 1\/3*l**4 + 0*l**2 - 2\/3*l**3 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + -1 + (-13 + -14 - -7 - -7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -148*2\/(-20) - (-3)\/15. Let z(c) be the first derivative of -c**4\/4 + 20*c**3\/3 + 25*c**2\/2 - 27*c - 26. Is z(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 12 = 5*f + 3, -5*f = -b - 10. Let a = 9 + b. Let m be 14000\/21*642\/a. Round m to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/10 + (-27)\/315*-7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.4, 8, -2, 2\/13, 3 in descending order.\nAnswer: 8, 3, 2\/13, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -897*u - 1584*u - 1016*u + 5709*u - 1022*u.\nAnswer: 1190*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 1304*i + 113742. Give s(-94).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 819*s**2 - 2*s + 4. Let o(p) = 3283*p**2 - 9*p + 20. Determine 9*j(n) - 2*o(n).\nAnswer: 805*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - q = 12 + 393, -3*a + 615 = q. Let l = a + -92. Let y be 24\/l*14\/(-4). Is 0 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1555 + -967. What is the least common multiple of 42 and z?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 27360*v**2 - 105*v. Let b(g) = -35*g. Calculate b(f(h)).\nAnswer: -957600*h**2 + 3675*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 56601073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1273 by -5653.\nAnswer: -1273\/5653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -524*v + 524*v + 112*v**2 - 413*v**2 to g*v**2 + x + u*v and give g.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 38 + 1d?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.9 in 5, 2, -4, 3\/1736, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (29 - (6 - 18)) - 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -311, -1009, -2031, -3377?\n\"Answer: -162*z**2 - 212*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7696797 and 27.\nAnswer: 69271173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h. Let y(l) = 121*l**2 + 1210*l. Let v(n) = n**2 + 5*n. Let r(z) = 1694*v(z) - 7*y(z). Give r(k(x)).\nAnswer: 7623*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/20)\/(2\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**4 + 103*j**3 + 399*j**2 + 497*j + 205. Let u(w) = -3*w**4 + 413*w**3 + 1597*w**2 + 1987*w + 817. Let o(p) = 22*r(p) - 6*u(p). Factor o(d).\nAnswer: -4*(d + 1)**2*(d + 2)*(d + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 233*h**5\/60 - h**4\/24 - h**3\/3 + 25*h**2 + h. Is v(-1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -5. Let p be 0\/z - 99\/(-3). Suppose x - p = -4*j, -5*j - x = -2*x - 30. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - 2*w + 8 - 85*w**4 - w**2 - 83*w**4 + 253*w**4 - 82*w**4 in the form h*w**2 + j*w + d + f*w**4 + l*w**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*2*2\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -18  (b) -3  (c) 27.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4*sqrt(76) + sqrt(76) - sqrt(76)) - sqrt(76) - sqrt(76))\/(sqrt(8)\/(sqrt(32) + sqrt(2))).\nAnswer: 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 469*m - 132*m + 15 in the form h + q*m and give q.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*w**2 - 49*w**2 + 87*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (-22 + (3 - -18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 78065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/73?  (a) 0.1  (b) -0.1  (c) 3  (d) 105\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-1430)\/(-182))*(2 + (-258)\/(-4))?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(-84)\/(-14))\/((-5)\/(-5)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -17. Let 0 + 2\/5*k + 4\/5*k**v = 0. What is k?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 5*g. Let d be s(-5). Suppose -37 = -d*p + 3*p + 4*r, 49 = -4*p - 5*r. Let h = -16 - p. What is the closest to 1\/4 in -1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 102 = b. Let p = -37 - b. Suppose -5*z + 4*f + p = -1, -2*f = z - 17. What is the remainder when 19 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 961 divided by -31\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -6*b**3 + 115*b**2 + 372*b + 41. Determine o(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -166*p**2 - 9*p wrt p.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l + 1. Suppose 60 = -j - 5*j. Let i(q) = -6*q - 4. What is j*y(a) - 3*i(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232 = -96*q - 1864 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k = 154. Let c = -25 + k. Suppose 0*u - 4*a + c = 3*u, -4 = 2*a. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 + 0.1503.\nAnswer: -4.8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 - u**3 + 0*u**2)*(2 + 0 + 1)*(-2 + 1 - 1)*(-11 + 18 + 44).\nAnswer: 306*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 543 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101100110000101100001100 - 10?\nAnswer: 10101100110000101100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -54*p - 31 - 8*p - 23 + 13 in the form g*p + m and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -8*m**3 - m**2 + 1. Let h be r(-1). Calculate the remainder when ((-12)\/h)\/((-3)\/28) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 1080 = 7*p. Which is greater: p or -76?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 528 + -525. Let f be (6*y\/(-162))\/(10\/3). Sort 0.1, f, -3, -3\/4.\nAnswer: -3, -3\/4, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22172472.\nAnswer: 2, 3, 7, 29, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -82 + 69. Let n(b) = b**2 + 15*b + 8. Let x be n(-13). Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 12. Suppose 0 = 4*o - h*o. Solve o = 2*x + 4*v - 12, 0*x = -x - 3*v + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2071 and 109.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -97834?\nAnswer: -1\/48917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*n - 20*n = -39*n - 3, 45 = 4*s - 3*n for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36252203 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**7\/210 + x**3 + 5*x**2. What is the derivative of r(l) wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*b + 49. Let q = b - 34. What are the prime factors of (-5)\/q*(-57 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 17*b**2 + 2*b + 9. Suppose -4*f + l - 8 = -0*f, 10 = -5*f - 5*l. Let x be 17\/((4 - 1) + f). Is 22 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 420024986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of 5*z**3\/6 + 4*z. Suppose -4*x + 45 = -x. Let t be 18\/x + 2\/(-10). Calculate r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 3*r**4 + 0 - 9*r**4 + 15*r**3 - 15*r**3 + r**4 + 4*r**3 - 4*r**3 + 2*r**4 - r**2 + r**2 + (-2 - 4 + 4)*(-r**4 - r**2 + r**2).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 163?  (a) 2\/7  (b) -4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 17368.425s?\nAnswer: 0.2010234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(4 - 4 + 2*y**4) + (7*y**4 - 15*y**2 + 15*y**2)*(-3 + 15 - 67).\nAnswer: -381*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 5 + b**2 - b**3 + b**3 - 4*b**2 + 4*b**2 + (-2*b + b - b)*(-b**2 + 2*b**2 - 3*b**2) + 3*b**3 - b + b.\nAnswer: 7*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + -10012001?\nAnswer: -10011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1556 times 32\nAnswer: -49792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 55025.5\nAnswer: -55029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -62 less than -566\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 593 or 591?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 286179, 286205, 286245, 286299, 286367, 286449?\nAnswer: 286545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51222*k - 51227*k + 49 = 2*h, 2*k + 14 = 2*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 29*j - 1. What are the prime factors of h(4)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1408  (b) -2\/7  (c) -2\/21  (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16193183 is divided by 131?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**2\/4 + 1033*n\/2 - 786189\/4 = 0 for n.\nAnswer: 503, 1563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57917*k**2 - 14479*k**2 - 14491*k**2 - 14465*k**2 - 14464*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 278340309 rounded to the nearest 1000000?\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -515 - -776. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of f**4\/28 + f**3 + 39*f**2\/14 + 19*f\/7 + 224. Find z such that r(z) = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g - 703 = -3*d, 3*d + 439*g + 111 = 442*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 773 divide 12815333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 43 = 3*z, 4*z + 109 = 3*r + 5. Let u be -2 + 1 - 9*112\/(-126). What is the highest common divisor of u and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 12:07 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 875021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 7*q + 238. Let n be f(0). Suppose -2*p = 4*t - 95 - 65, -3*p - 4*t = -n. Calculate the greatest common factor of 104 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 671344901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/3*(-198)\/(-4048)*(-52)\/39.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 5, 0, 11, -2, 2342 in increasing order.\nAnswer: -6, -2, 0, 5, 11, 2342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -94*l + 1128. Let o be c(12). Solve m - 4*x - 37 = -33, o = -x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 1001110?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 4*k - 2*k - 168, 372 = 5*k + 2*m. Let s = k + -46. Find the common denominator of s\/4*(-12)\/22 and 4\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 10*l**2 + 11*l - 42. Let r(h) = -3*h**3 - 30*h**2 - 29*h + 122. Let x(j) = 6*r(j) + 17*s(j). Give x(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-130)\/(-15) + (-16)\/(-12). Let w be (-3)\/(-1) - (v + -6). Let l = -0.7 + 0.5. Which is the closest to w?  (a) l  (b) -2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2516\/(-1887))\/((-62)\/4371)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 1)*(2 - 2 - 4*l + (l + 0 + 0)*(0 + 2 + 1)) - 73 + 38*l + 73 to b*l + k and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (20\/50)\/((-2)\/(-10)). Let y(x) be the first derivative of 2 + 4\/3*x**3 - 4*x + 0*x**h. Differentiate y(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 9*x**2 - 9*x - 7. Let c be p(-9). Let r = c - 142. Round r to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(48)\/(sqrt(48)\/sqrt(6)))\/(sqrt(18)\/(sqrt(9) + sqrt(27)\/sqrt(3)) - sqrt(288)) + 0)**2.\nAnswer: 108\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b*b*b**(-2\/3))\/b)\/((b**(-1\/16)*b)\/b))**25 assuming b is positive.\nAnswer: b**(1675\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 62 = 14*m. Let v(r) = -r**3 - 4*r**2 + r - 5. What is v(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43818089, -43818092, -43818095?\nAnswer: -43818098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of -n**5\/480 + n**4\/192 + n**3\/24 - 19*n**2. Factor h(g).\nAnswer: -(g - 2)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 73, 55, 35, 13, -11, -37, -65?\n\"Answer: -p**2 - 15*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times -2182256?\nAnswer: 1309353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 4506*x**3 - 21 + 29.\nAnswer: -4506*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 417836 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 538 - ((-6)\/(-2) - (-6 + 8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3*r - 8. Let x be (-2 - -2)\/(2*-1). Suppose 2*b - 1 = -6*j + 5*j, -4*b + 12 = x. Sort j, r, 0.\nAnswer: j, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224*d = 229*d + 3*l - 207, -3*d + 105 = 5*l. Solve 0 = -2*r + 3*y + 1, 50*r + 4*y = d*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pll when three letters picked without replacement from plplllpppllp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 26*d**2 - 6*d - 10. Let k(h) = -9*h**2 + 2*h + 3. Let x(v) = 921*v + 3686. Let g be x(-4). What is g*p(t) + 7*k(t)?\nAnswer: -11*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109*118.9223.\nAnswer: 12962.5307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 4*n - 31 = -46, -3*n = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*b**3*r**2 + 2167*b**3 + 2*b**2*r**2 - 13*b*r**2 - 2*b*r wrt r?\nAnswer: -74*b**3 + 4*b**2 - 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k + 29. Calculate the remainder when 63 is divided by m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5400*d - 5435*d = 105. Let q(f) = -6*f**2 - 9*f - 12. Let h(s) = s**2 - 1. Let i(z) = 2*h(z) - q(z). Does 12 divide i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -63950 and 32426.\nAnswer: -31524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) 16\/9  (c) 1\/6  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x + 7*x = -3*n + 190, 0 = -n - 4*x + 58. Calculate the smallest common multiple of 8 and n.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + -17. Let r = -27\/2 - -347\/26. Which is the second smallest value?  (a) q  (b) r  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 716 = 2*j - 457, 4*s - 938 = -2*j. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -23*h**2 - 24. Let f(v) = -v. What is b(f(c))?\nAnswer: -23*c**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*r - 24*r = 1269 - 6113 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 201917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*6 + 1*(9 - 8). Suppose s*b - 15 - 13 = 0. Let y = 21 - 1. Calculate the greatest common factor of y and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572433812 to the power of 1\/3, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 20*d**2 - 16*d**2 - 7*d + 7*d. Let y(b) = -17*b**2. What is l(y(g))?\nAnswer: 1156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 322, 642, 962?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 5*w + 9. Let u be o(5). Solve -24 + u = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/55, 3, -1640.1, 0.3 in ascending order.\nAnswer: -1640.1, -2\/55, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 5. Suppose -i*o + 6 = 16. Let p = o + 11. Solve 3*k + 5*t = 14, 3*k - 11 = 4*t - p*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3494 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -610 + 613. Suppose -2*o - 17 = 4*i + o, -s*i - 3*o - 12 = 0. Let n(r) = -r + r - 5 - 3*r. Determine n(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66\/65 - 1811\/585. Let u = -1081\/90 - g. What is the common denominator of u and -34\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z - 2*z + 2*z)*(-7 + 16*z + 7).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*z**3 + 437032*z**2 - 757416*z - 233056 = 0. What is z?\nAnswer: -4\/15, 2, 14566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 17210870 to the nearest 100000.\nAnswer: 17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6138759, -12277518, -18416277?\n\"Answer: -6138759*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2982 = -3198. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 6:00 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + 4*c - 3 - 2*c + (6 - 3 - 4)*(-c + 1 - 1) + 21*c + 102*c + 26*c + (5*c + 2*c - c)*(-2 + 5 - 4) to h + a*c and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.065?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-20)\/(-60)*(-9)\/(-2). Let l be -8 + (0 - -1) - 1. Let o be l\/(-6) + 2\/(-6). Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 796911799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -527, -1060, -1601, -2150, -2707, -3272, -3845?\n\"Answer: -4*z**2 - 521*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 203\/11, -4, 1 in descending order.\nAnswer: 203\/11, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.029, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121022110122 - 1?\nAnswer: 121022110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 2:24 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -138570, -554346, -1247312, -2217474, -3464838, -4989410, -6791196, -8870202?\n\"Answer: -a**3 - 138589*a**2 - 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 57 - 77*q + 2*q**2 + 60*q. Let n be r(13). Solve -n + 5 = -13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -1\/43  (b) -353  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + g - 11 - 7)*(4 - 3 + 0)*(-2 + 1 + 0 + 5 + 0 - 2 + (0 + 1 + 0)*(0 + 0 - 1) + 6 - 3 + 3).\nAnswer: 7*g - 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 3  (c) -1  (d) 0.2  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -6*x + 1662. Let r = 904 - x. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2 = 5*p + 16, p + m = -7. Let a be 6\/(-4)*4\/(-62). Is p less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -2*f + 96. Are f and 87\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 728?  (a) -4\/9  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 7:42 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, -1\/3729033, -1\/2 in decreasing order.\nAnswer: -1\/3729033, -0.01, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 + 5. Let q be ((-12)\/2)\/(24\/z). What is the greatest common divisor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1899 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 428, 802, 1286, 1934, 2800, 3938, 5402, 7246?\nAnswer: 9524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.240145 rounded to two dps?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2397995, 2397994, 2397993, 2397992, 2397991?\n\"Answer: -p + 2397996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39274 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*a = 4 + 21. Let f(q) = 5*q - 3. Calculate f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 516, -10, 13951?\nAnswer: 13951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n**3 - 3*n**2 - 8*n - 2. List the prime factors of x(-3).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.65903 weeks to minutes.\nAnswer: 67123.0224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 322, 628, 944, 1276, 1630, 2012?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 12\/13  (b) -4  (c) -12  (d) -2\/5  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.84 + 35.16. Let l = m - 40.2. Let k = l + 9.2. Which is the third biggest value?  (a) k  (b) -1\/6  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (75\/6)\/(3\/(-6)). Let p = 36 + y. Solve 5*i + 0*z - z = p, z = 4*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(931) + 2 + sqrt(931) + 2 - ((4*sqrt(19)*3)**2 - ((4*sqrt(171))\/sqrt(9))**2)) + -2.\nAnswer: -2431 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7150 divided by -5.\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 226\/7 + (-4)\/14. Suppose 4*o - 24 = n. Suppose 15 = 2*l - 5*h, -l - 2*h + o = 2*h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2340 = 2*k + 3*k. Let v = -29165641\/61639 + 6055\/1163. Let o = v - k. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5006?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 2*k - 14, 5*b - 8 = -2*k + 7*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14246 + 23754?\nAnswer: 40222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.5 + -1. Suppose w - 5*q - 9 = 0, 3*q = 4*w - 0*q - 19. What is the third smallest value in w, a, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 7771424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 26*g - 4*g - 9*g - 10*g. Let d(o) = 15*o**2 - 9. Calculate s(d(f)).\nAnswer: 45*f**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-891)\/(-3663)*185 + (-1 - 1*10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -32*j**3 - j**2 + 3*j + 1. Let f be b(-2). Let k be 1 - (180\/27)\/((-1)\/3). Let q = f - k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12478 - 1c2?\nAnswer: -1265a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**4 - 5*l**4 + 18*l**4 + (-5*l + 2*l + 4*l)*(3 - 4 - 6)*(l**3 + 2 - 2).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1263 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13597 - -24998. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*l - 117 - 408 = -l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 242*m + 2961776 = 2942174 for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/(-7) - 10\/35. What is the tens digit of j*((-76)\/4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -2121212101?\nAnswer: 2121212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + 227*a + 2787. Let b be w(-13). Solve -c + b = 3*t, 0 = 3*c - 7*t + 3*t + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2341 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 480625*k + 228 + 275 + 480620*k - 961249*k to the form g*k + x and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-18) + 0\/(-2). Let m = 0 - -11. Let g = m + -7. What is the third biggest value in 0.1, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/2*(6\/(-15))\/(2862\/45)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (0 - -1) + (756 - 769).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 67.3?  (a) -2\/5  (b) 18  (c) 3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7104 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -764742 or -764740?\nAnswer: -764740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from cvoocvocovoggvvvovs.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*v + 8. Solve -j + 0*j + v = 3*b, -10 = 5*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15438 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-702 - 356 + 188)*(2*u**3 + u**3 + 5*u**3) - 2*u**3 + 0*u**3 + 0*u**3 + (-1 - 3 + 5)*(u**3 + 2*u**3 - 5*u**3).\nAnswer: -6964*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11009, -43973, -98853, -175601, -274169, -394509, -536573?\n\"Answer: 8*l**3 - 11006*l**2 - 2*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 64 + 1101. Let d = b - 1159.81. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2621 - 221. What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11814 = 645*v - 648*v. Is 50 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2068\/15 - -138. Let u = 0.31 - 0.01. What is the nearest to -1 in u, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 223883765 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 520599571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 9*v - 328. What is the remainder when v is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71870.01 weeks to days.\nAnswer: 503090.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = k - 224. Let h = k - 75. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by -59?\nAnswer: 15\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 3*q + 4*v, 32*q - 299 = 27*q - 2*v. Calculate the greatest common divisor of 61 and q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - -19. Suppose -56 = -3*t - g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**5\/7 - 2*l**4\/7 + 12*l**3\/7 + 40*l**2\/7 + 32*l\/7.\nAnswer: -l*(l - 4)*(l + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 8*f - 11. Let y be c(-8). Let t = y - -6. Are t and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 4:45 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1850 or 1\/3?\nAnswer: 1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f**2 + 52*f - 1008. Calculate the least common multiple of z(14) and 27.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10103 + -40413\/4. What is the closest to 2.8 in 0.07, -4, a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57840489 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/5 - 18*d**4\/5 + 506*d**3 - 1974*d**2 + 12232*d\/5 - 4872\/5 = 0 for d.\nAnswer: -42, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + -1*sqrt(2736) + sqrt(2736) + -3)**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -68\/189909 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -686 divided by 2?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - j**2 - 7*j + 5. Let p(w) = 675*w. Let h be p(0). What is q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = o + 3*o - 35, -56*g = o - 58*g + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 4*j = -25, 0*f + 5 = -f + 2*j. Suppose -8*s + f*s = -25. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 7 + 33 = 0. Suppose -3*s - 3 + 9 = 0. Suppose 0 = -2*w + 10, -50 = -5*b + 3*b + s*w. What is the greatest common divisor of b and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -81*t**2 + 1372*t - 1264. What is w(16)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101575 (base 10) to base 6.\nAnswer: 2102131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 15*p**2 - 327*p + 249. Let o be w(21). Let i = 5 - 7. Let v = -1 - i. Is v <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 637.8 - 587. Let q = 51 - s. Which is the biggest value?  (a) -0.5  (b) q  (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-18) - (2019\/(-27) - 3). Let h = -75 + x. Suppose -h*t - 74 = -5*t. Is 38 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o + 3*o + 78*o**2 + 415*o**2 - 6*o.\nAnswer: 493*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.669 + 0.069. Is 0 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/5280283 and 37\/52802830?\nAnswer: 52802830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.6 and 0.04576572?\nAnswer: 0.55423428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - 6*o**2 - 9*o + 7. Let m be l(7). Let v = m - -9. Solve v*w + c + 4 = 0, 3*w + 0*c = -3*c - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10936295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -936 divided by -6\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2950 + -2964.33. What is u rounded to 1 dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 0*w + 200. Calculate the highest common factor of 75 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((-7 - -8 - 0) + 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -55*r - 3. Let j(f) = -5*f**2 + 22*f - 33. Let k(s) = -s**2 + 4*s - 6. Let z(w) = -2*j(w) + 11*k(w). Determine z(t(p)).\nAnswer: -3025*p**2 - 330*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**5\/w))\/(w**(-10)*w))**(26\/7) assuming w is positive.\nAnswer: w**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2763 = -281*f - 26*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12a - -4?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -19*r**3 - 4*r**2 + 4*r - 4. Let w(c) = c**3 - c**2 + c - 1. Calculate -s(p) + 4*w(p).\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 3*h**3 - 15*h**2 + 2099*h - 10464. Give c(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 48*(7\/14 + (-22)\/(-4)). What is the greatest common factor of 90 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*(26\/(-14) + 6 - 4)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*h - 2 + 1 + 1.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 2 = a. Let p = 21 + a. Let c(t) = -89*t + 807. Let b be c(9). Solve -5*y + p = 0, -4*v = -4*y + b*y + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5  (b) -0.5  (c) 0  (d) 1\/3  (e) -1463  (f) 1\/2  (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2 + 8 = 0. Let s = 10.6 + -0.6. Let z = -11 + s. Which is the smallest value?  (a) h  (b) 2\/9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21029 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-5)*90\/36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**2 - 6*o + 6. Let u = 26 - 21. Let a be w(u). Suppose 181 = 2*t + a. What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 633266201 a multiple of 3829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 116956.4838+-0.067\nAnswer: 116956.4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9436 (base 11) to base 4.\nAnswer: -3003112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/(-4)*(3179 - 3180). Factor -45\/4*n**2 + g*n**4 + 15\/4*n**3 + 25\/4*n + 0.\nAnswer: 5*n*(n - 1)**2*(n + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 5*p - 6. Let t be b(-2). Let k = 521.2 - 521. Put 0.5, k, t, 6 in decreasing order.\nAnswer: 6, 0.5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1225 - 687. Suppose -533*l - 1530 = -k*l. What is the highest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -20. Suppose -10 = -t*p + 2. Suppose -p = 2*i, 3*i = 3*d + 7*i - 76. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 12. Suppose -a*r = -74 - 16. Suppose -r = -3*u - 3. Let x(j) = j**2 - 6*j + 3. What is x(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n = -7*n - 12. Solve -n*u = -7*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 6. Let j = 0.165 - -0.335. Sort -5\/4, a, j in ascending order.\nAnswer: -5\/4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*b**2 + 112*b + 9*b**3 - 2*b**2 - 87*b - 10 - 4*b**3.\nAnswer: 5*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -100 from 16827483898.37.\nAnswer: 16827483998.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 213*f**6 - f**4 - 332*f**3 - 88596*f**2.\nAnswer: 25560*f**3 - 24*f - 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 27 = 4*r, -48*v + 46*v = 5*r - 42. Sort -14, 0.5, -1, r in increasing order.\nAnswer: -14, -1, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/192 and -23\/1248.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/882360 and -49\/8664?\nAnswer: 16764840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*3*(-5*sqrt(153)*-1)\/sqrt(9) - (4 + sqrt(68)\/(sqrt(4) + (sqrt(8)\/sqrt(2) - sqrt(4))) + sqrt(153)\/(sqrt(81)*3)))**2.\nAnswer: -5320*sqrt(17)\/9 + 7519121\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 10 - 15 + 3 - 13*r as s + q*r and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r**5 + 11 - 11 + (-1 - 2 + 4)*(-r**5 + 2*r**5 + 0*r**5) + r**5 + 3*r**5 - 5*r**5 + (-4*r**4 - r**4 + 3*r**4)*(2*r - 2*r + 2*r).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence keoi when four letters picked without replacement from eeieeiekvetoi?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15235.92846 - -15236. What is n rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b**2 - 35*b. Let v(n) be the third derivative of -1\/12*n**4 + 1 + 0*n - 13*n**2 + 0*n**3. What is u(v(c))?\nAnswer: -12*c**2 + 70*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-3))\/(-2*4*88\/1152)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8883 + -8883. Let m be (9\/2)\/((-6)\/(-16)). Solve y = -l - 2*l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1410 = -1243*g - 3562 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -1\/202, 2\/25, -0.05, -4\/9, 0?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f**3 + f**2 - 2*f - 3. Let m(t) = -t**3 + t**2 - t - 1. Let r be -2 + 3 + 0 + 18. Suppose -r*n - n + 40 = 0. Give n*m(d) - o(d).\nAnswer: 2*d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 5*j + 4. Let u(i) = -11*i - 8. Let p(w) = 13*a(w) + 6*u(w). Let s be p(0). Suppose 6*r - 36 = r + s*n, -4*n - 16 = 0. Solve 0 = f - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -3) + (3 - 2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -4 - (1 - (19 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*c*k**3*w**2 + c*k**3*w - 2*c*k**3 + 23*k**3*w - k*w**2 wrt c.\nAnswer: 3*k**3*w**2 + k**3*w - 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2993349679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 45*r + 4. Let s be a(1). Let v = s - -88. Suppose -2*t - 4*k + 201 + v = 0, -5*t = 2*k - 853. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t = -13 + 39. Suppose -5*v + 15 = -2*v. Suppose 2*p = v*p - 6. Solve -p*f = f - 2*o - 25, -4*o - 30 = -t*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1561192898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 21. Let w(s) be the second derivative of s**4\/4 - s**3\/3 - s**2 + 3*s. Let g be w(-1). What is the highest common factor of g and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*g - 9*g - 4*g**3)*(-4*g + 4*g - g**2).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/20 and ((-1197)\/(-20))\/7 + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1057321 and -1057321 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 155970 and 9090.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 687420.4 decades to millennia.\nAnswer: 6874.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -627, -32, 2\/17, -1\/2, -2.1 in increasing order.\nAnswer: -627, -32, -2.1, -1\/2, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.2 - -5. Let l be 26\/(-42) - 32\/(-96). Which is the closest to x?  (a) 0.3  (b) l  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 524 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 + 6*j - 3. Let g = 13 - 8. Let a be o(g). Solve 0*l + 10 = 2*u + 2*l, a*u - 3*l + 10 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 a factor of 6953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 7*t + 28. What is the closest to 0 in t, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 2*q + 425 - 436, 19 = -5*q - 13*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 128093 - 13936. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2584 and 314602.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -975635.\nAnswer: -3\/975635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -10*x - 7. Let l(y) = 11*y + 8. Suppose h = 4*h + 12, 2 = -t - h. Let g(a) = t*l(a) + 3*k(a). Let f(v) = v + 1. Determine 6*f(i) + g(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/11 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*1\/(-12)*(-14 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1174896.358 and 0.2.\nAnswer: -1174896.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of 293*o**8\/56 - o**4\/4 + 77*o**2 + 2*o - 47. What is the third derivative of m(h) wrt h?\nAnswer: 35160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 598 and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, 17, 155, 483, 1079, 2021?\nAnswer: 3387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/3 - (-21 + 2 + (-376)\/(-24)). Find f, given that 0 - 20\/3*f - 3*f**3 + 8*f**2 + 1\/3*f**j = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -41. Suppose -u - 36 = -s, 5*s + 3*u - 185 - w = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {o: 2, k: 1, l: 1, x: 5, c: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 20*b + 16 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 50*o + 51. Let s be 3\/((-5)\/(3 - -37)). Let l be t(s). Suppose -4*g + l*g + 112 = 0. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 + 61. What is the first derivative of -17*b - k*b - 3 - 10 + 9 wrt b?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1864 + 1867. Sort q, -6, 35 in ascending order.\nAnswer: -6, q, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 10, s: 2}. What is prob of picking 3 v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 14419585 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 65665, 71028, 76393, 81760, 87129, 92500?\n\"Answer: i**2 + 5360*i + 60304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y + 216. Suppose -3*p + 23 + 70 = 0. What is the remainder when t(0) is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**4\/8 + 5*u**3\/6 + u**2. Let k(l) = l**3 - 7*l**2 - 8*l + 1. Let z be k(8). Let h be z*-10*3\/6. Give p(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.019689, 9, -1\/2, 1, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7306, 14719, 22132?\n\"Answer: 7413*u - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -931b8?\nAnswer: 931b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) - (0 + sqrt(605))) + sqrt(605) - (-2*sqrt(5) + -4).\nAnswer: 4 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.34 in 78, -2\/5, 0.012?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - c - 1. Let t(p) = -p**3 + 3*p**2 + 2*p + 3. Let s be t(4). Let n(z) = z**3 + 3*z**2 + 9*z + 3. Let b(u) = s*k(u) - n(u). Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -178.41 + 177.41. Sort g, -2, -76.84.\nAnswer: -76.84, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 471 + 2688 = 3*j, -2205 = -3*j - r. Let c = j - 385. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3191, -12826, -28893, -51398, -80347, -115746, -157601, -205918?\n\"Answer: -q**3 - 3210*q**2 + 2*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 14 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -16*z**3 - 3*z**2 + 2. Let m be y(-1). Let g be (1400\/m - (-2)\/(-6))*1. What is the greatest common factor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-2\/5))**(3\/7)*(m**1*m)**(1\/17))**(-11))**(-4\/3) assuming m is positive.\nAnswer: m**(-1408\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47\/7 - -7. Let d = 545 - 533.22. Let t = -9.22 - d. What is the nearest to t in 2, n, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 16*u**2 + 15*u + 6. Let f be n(15). Let l be 3 + -2 + -51*4\/f. What is the closest to 0.1 in 2, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -14*h - 285. Is 9 a factor of y(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4521136 to the power of 1\/2, to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 2*p - 2 = -6*p, 2*x - 3*p + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 12 - 14*b + 3 + 12*b - 2*b. Let y be x(-1). Calculate the greatest common factor of y and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**2 + 0*r**2 - 2*r**5 + (-2 + 2 - r**3)*(-4*r**2 + 3*r**2 + 3*r**2) - 3*r**5 - 3*r**2 + 3*r**2 + r**5 + r**5 - r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {o: 7, t: 3, r: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1066000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*p - 10 = -p, -4*a - 3*p - 4 = 0. Is 69\/2 + (-1)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 156*g**2 + 1 + 3*g - 2*g - 157*g**2. Calculate i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 155, 234, 369, 560, 807, 1110, 1469?\n\"Answer: 28*g**2 - 5*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172664?\nAnswer: 2, 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 7 = -8. What is the common denominator of w\/(-20)*(-43)\/9 and 97\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1210 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) -3\/2  (c) -1\/3  (d) -3.318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7378230 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 2:18 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5880 + -4625. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*i + 8*i + 4*b + 8, 5*b + 21 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 48*v**2 + v - 115. What is s(48)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80 + 80 + 22*s)*(-s + 24 - s + 4*s).\nAnswer: 44*s**2 + 528*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16 - 13*v + 16)*(-17 - 15 + 7)*(0*v**2 - 2*v**2 - 17*v**2) in the form n*v**3 + x*v**2 + u*v + a and give n.\nAnswer: -6175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8774483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -10558*m**2 + 14 - 92 + 10569*m**2 - m**3 + 32*m. Let h be d(13). Let g = 1.1 + -0.1. What is the second biggest value in 0.1, g, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*f**2 + 410*f**2 - 707*f**2 + 164*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 125*k - 369 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 0*p + 2*p + 6 - 4*p. Suppose 10*j - 48 = 2*j. Determine u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*b + 4. Let j(s) be the third derivative of -1\/6*s**3 + 0 + 1\/24*s**4 + 8*s**2 + 0*s. Determine j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6 and 0.9.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 14*v - 23. Let c be z(-12). Let u be 4 - (1 + -1)*c. Suppose 9*o - 270 = u*o. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1435926696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63 - (-98 + 112 + (-7 + 2 - 19))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hfufgmug. What is prob of sequence gfg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - k - 1, -k - 16 = -5*k. Sort q, -2, -4 in ascending order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 193 - 189. Let o = 17 + -19. Sort k, o, 5, -2\/15 in ascending order.\nAnswer: o, -2\/15, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 5)*(-8)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 8:35 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -5*u + 48. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 - -47. Put w, -5, -4, -0.2 in decreasing order.\nAnswer: w, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2.3, -1\/4, 2, -1\/3 in decreasing order.\nAnswer: 5, 2, -1\/4, -1\/3, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1584 and 10368.\nAnswer: 114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 603*z + 1685 - 3365 + 1680.\nAnswer: 603*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**2 + 0*u**2 - 3*u**3 + (-2*u - 12 + 12)*(4*u**2 - 2*u**2 - u**2).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 61*s + 15 + 48*s**3 - 22 - 47*s**3 - 25 - 32*s**2. Let w be z(30). Let m = -5 - 2. Do w and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 107, 96, 77, 50, 15?\n\"Answer: -4*y**2 + y + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -128?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 55*k**3 - k**2 - 253*k - 2. Let h(c) = -165*c**3 + 3*c**2 + 697*c + 5. Determine 4*h(u) + 11*o(u).\nAnswer: -55*u**3 + u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -h**5\/75 - 31*h**4\/15 - 1922*h**3\/15 + 5*h**2 + 1. Factor u(a).\nAnswer: -4*(a + 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 6198?\nAnswer: 6198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*y = -10056 - 7515 + 2039 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = -t - 2*t - 5*h, -5*h - 45 = t. Calculate the remainder when 34 is divided by (-2*3\/t)\/(18\/1710).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.22 - 0. Let z = 0.58 + t. Let l = z - -0.2. What is the second smallest value in l, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 437042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (1 + -6 - -2) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*-2*4.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 670 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**3\/(h**(8\/3)\/h))\/(h\/(h\/(h*h*h**3*h))*(((h\/(h\/h**7))\/h*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-21) - 62\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 156*l - 977. What is the remainder when 557 is divided by k(7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 491311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1291900708 and -38829.\nAnswer: -1291939537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*d - 264 = -3*b - 37*d, -5*b + 3*d = -453. Calculate the greatest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 7*q - 101. Let c(j) = -4*j + 51. Let v = 6134 - 6139. Determine v*c(a) - 3*d(a).\nAnswer: -a + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (30*f + 17*f - 64*f)*(-6 + 6 + 6*f**2 + (f - 6*f + 3*f)*(-f + 2*f + 0*f) + 2*f - 2*f + f**2) to the form d + l*f**3 + u*f + c*f**2 and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.93 + 0.07. Let n = 7.3 - w. What is the third biggest value in 3, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (9 + -5 + -6 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 6*w + 8. Let f be j(6). Let q = -5 + f. Let z(k) = -k + 4. Give z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5487119 divided by -5?\nAnswer: 5487119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -4*a**5 + 44*a**4 - 76*a**3 + 36*a**2 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3*-24.234289\nAnswer: -72.702867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 50513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -0.4  (c) -3  (d) -6  (e) 124  (f) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + 0. Let z = -8.9905 + h. Round z to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 4 - (75 - 125).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 14 = 2. Sort -5, y, 9 in descending order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 7:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 29\/232*40 + 0 + -5. Solve m = 12*k - 20 - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**6)**(-18)\/(m\/((m**(2\/25)*m)\/m)*m**16*m) assuming m is positive.\nAnswer: m**(1802\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 23*n**2 - 19*n + 903. Calculate g(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 7 = 3. Let u be (-9)\/6*-4 - x. Solve 8*i - 4*i - 11 = 5*f, -18 = u*f + 3*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c - 6. Let s be z(3). Suppose 2*i + s = 9. Suppose 5*q + v = i*v + 25, -20 = 4*v. What is the remainder when 9 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-15)*(-4 + -1). Suppose 3*v = -5*b + 10 + 103, -3*b + a*v = -62. Calculate the remainder when 109 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165*c = -402*c - 218*c - 5495 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 - 38*n + 21. Suppose 2*j = 6, r - j - 2*j + 29 = 0. List the prime factors of d(r).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/9)\/((-790)\/(-948)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003573574 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = a - 3. Let g(w) = 3*w - 11. Let i(s) = -2*s + 6. Let m = 1956 - 1953. Determine a*i(v) + m*g(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3684 and 30.\nAnswer: 18420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29198806 and 24108?\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3666 = 2*k + 34*r + 110*r - 42*r, -6*k = -k - r - 51 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 - 5*q**2 + 3. Let x be p(-4). Suppose -9*h + 24 = x. Which is the nearest to -1\/2?  (a) 3  (b) -2\/7  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 2329*l**5\/20 - l**4\/12 + 34*l**2 - 908*l + 1. What is the third derivative of d(u) wrt u?\nAnswer: 13974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 + 4*l**2 + 9*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 0*w - 2*w + 0*w. Let d(g) = g**3 + 7*g**2 - 7*g + 10. Let f be d(-8). Let s(q) = -11 + 3*q**f + 11. Calculate s(x(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 8*o**5 - 26*o**4 - 2*o**3 + 26*o**2 - 6*o = 0.\nAnswer: -1, 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 1177774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a - 6. Determine t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 21) + -13 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -4*(sqrt(343) + -1).\nAnswer: -28*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 61460, 61466, 61508, 61604, 61772?\n\"Answer: 3*o**3 - 15*o + 61472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1328, -5331, -12002, -21335, -33324?\nAnswer: -47963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v**2 + 6*v + 6. Let c(a) = -a**2 - a - 1. Let z(l) = b(l) + 6*c(l). Let g(i) = -2*i - 7. Calculate g(z(q)).\nAnswer: 4*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 16660.85274 nanoseconds in weeks?\nAnswer: 0.00000000002754770625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o - 2*o - 5*o**3 + 2*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 7.850273 and 0.8438.\nAnswer: 8.694073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 3*o + 4. Let r(c) = c**2 - 24*c + 44. Let t be r(19). Let y = 17 + t. Let w be y*((-45)\/10 - -4). Let h(q) = 8*q + 11. Give w*x(p) - 6*h(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-220)\/(-24))\/(-5) - -2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30501455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7620109*v**2 - 19219654.\nAnswer: -15240218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -3. Suppose f = 6*f + g. Let u(j) = -17*j - 1. What are the prime factors of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 9, o: 7}. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 3*r**2 + 10*r + 43. Calculate a(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 65 = 3*y, -3*b + 2*y = -3*y - 145. Let z = 311 - 194. What is the remainder when z is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37600 and 151904.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/12)\/(((-3)\/(-16))\/(-1*12\/8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.5 times 0.06?\nAnswer: 8.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 37, 126, 293, 562?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2.398 times 656\nAnswer: -1573.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/4))**(-2\/55)\/((z*z\/((z*z**6)\/z)*z*z)\/z**(2\/7))*(z**(-6\/7)\/(z**9*z))**(1\/27) assuming z is positive.\nAnswer: z**(38971\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -145.969422.\nAnswer: 145.969422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 492226 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*t - 5323 + 69529 = 0. List the prime factors of t.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -2*n - 32, 3*z + 45 = 8*z + 2*n. Let u(f) = 16*f + 49. Let a(x) = -7*x - 24. Let w(k) = -7*a(k) - 3*u(k). What is the units digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.433 in 0.2, -200, -7\/2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 7*f. Let l be j(-4). Is (-1 - l)*(-23)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x - 2. Let y(z) = 17*z - 9. Let b(k) = 9*t(k) - 2*y(k). Let m(n) = -n + 1. Let c(g) = -1. Let q(h) = c(h) + m(h). Determine b(q(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2228 + 296 = -7*q. Calculate the highest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, q: 4, z: 3, x: 2}. What is prob of picking 2 q and 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-43)\/18 - (-2)\/1 and ((-42)\/(-5))\/(5 + -7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 27, 85, 189, 357?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197*l = -163 + 39 - 73. Let u(h) = h**2 + 2*h + 3. Let r(q) = -q. Calculate l*r(s) + u(s).\nAnswer: s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44220 and 10230?\nAnswer: 1370820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 63942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 90 = 3*r. Suppose 1810 = -66*j + 11314. What is the remainder when j is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 10 - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(320) - (-2 + sqrt(320))**2)*-4 + (sqrt(320)*1*6 - (1 + (sqrt(320)*2)**2)).\nAnswer: -752*sqrt(5) + 5199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 4*h - 3, 2*s - 3*h + 5*h = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p - 11768 + 11693 = -b, 5*b + 5*p - 75 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -2, -m - 31*u + 15 = -26*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of 0*q**2 - 5*q + 0 + 1\/3*q**3. Let j(w) = -w**2 - 1. Let n(y) = 4*y**2 + 5. Let v(m) = 10*j(m) + 2*n(m). Calculate v(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from reyyyydfyydyfryyydyd.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 132798434*b**2*n + 151173*b*n + b + n wrt b?\nAnswer: 265596868*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -137800*w*y**3 - 279*w - 527*y**4 - 6136*y**2 wrt y.\nAnswer: -826800*w - 12648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*y**4 + 532778*y**3 + 10531844*y**2 + 50875480*y - 11831600 = 0. What is y?\nAnswer: -29579, -10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -557 + 1736\/3. Let n = 22 - h. Which is the nearest to n?  (a) -1\/7  (b) 1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*o + 235, 24 = -o + 5*o. Calculate the remainder when 237 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545118745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17759 and 4543.\nAnswer: 195349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72114, -140155, -208196?\nAnswer: -276237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -787948 divided by 14\nAnswer: -56282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11644 - -224699\/20. Let o = f - -3287\/8. Calculate the common denominator of o and -47\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.013 - -0.187. Let l be ((-8)\/14)\/((-9)\/21). Is l smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pdvmpmmpmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-161.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, n: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l**2 - 21*l + 10. Let d be x(-9). Let y = -36 - d. Differentiate -y + 8*c**4 - 3 + 7 wrt c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 9, e: 9}. Give prob of sequence eg.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -12. Solve 0 = -p*j + 2*j + f + 2, -3*f + 6 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 34 - 516?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66*61\/(-1098) - 5\/((-750)\/655).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 10 = 3*q, h = q - 3*h - 14. Which is the nearest to -2\/3?  (a) -1\/2  (b) -3  (c) q  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -604*x**3 + 10*x**2 + 9*x - 3. Calculate the lowest common multiple of 430 and f(-1).\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236638427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -q + 133, 2*v = -q - 3*v + 93. Does 46 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -1\/3*d**3 + 0*d + 0*d**4 + 0*d**2 - 1\/60*d**5 - 1. Let b(q) be the third derivative of w(q). Let s(g) = -g. What is s(b(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1318117878 divided by 66.\nAnswer: -19971483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -c - 5*c + 5*c + (-2 - 2 + 5)*(0 + 2*c + 0) - c - 1 + 1 + (9 + 6 + 1)*(c - 3*c + 0*c) + 3*c + 2*c - 2*c in the form x*c + f and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 35, -0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.02 - 1.22. Sort 3, -2\/7, -4, k.\nAnswer: -4, -2\/7, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -4. Let r = -81 - -245\/3. Which is the nearest to 0.1?  (a) r  (b) -3\/8  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 25 = 2*x, 10 + 5 = -3*y + 4*x. Let m = 2.6 + -2.94. Let d = 0.06 - m. What is the third smallest value in y, 0.06, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 38*j**2 + 193*j - 9. What is s(-32)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2000002 (base 3) to base 13\nAnswer: -884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9  (b) 0.1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s + 220 = -5*s. Let r = 52 - s. What is the derivative of 4 + 18*f**3 - 13 + r + 5 wrt f?\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26066 and 25418?\nAnswer: 331272794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.018 + 5.018. What is the closest to 1 in -5, m, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 6*j + 3*j + 10*j - 20*j + 5 + 0*j. Let m be u(1). Solve -y = 2*s + 3*s + 16, -m*s = 3*y + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(11) + -1 + sqrt(11) + sqrt(11) - sqrt(11)) + -4)**2.\nAnswer: -69 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2546, -2545, -2544?\n\"Answer: z - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/8 in -1\/4, -1.4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 2. Let x = -2 - -2. Let t = 0.3 - x. Put -0.4, t, w in descending order.\nAnswer: w, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3761 and -5?\nAnswer: -18805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 7 + 15)*(3 + 7*x**3 - 3) - 5*x**3 + 4*x**3 + 0*x**3 + 3*x**3 + 3*x**3 + 0*x**3 to the form h*x + y + c*x**3 + j*x**2 and give c.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(176) - (sqrt(176) - (sqrt(176) + 4 + -5*sqrt(176))) - sqrt(176) - 3*4*sqrt(176)))**2.\nAnswer: -544*sqrt(11) + 50880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 9:41 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -55*-0.74\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-675)\/(-600))\/((-6)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q**3 + 8*q**3 - 3*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5591188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10155.\nAnswer: 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 2\/3*c**3 + 16 - 2*c + 11*c**2. Let r(o) = o**2 + 1. Let t(f) = l(f) + 2*r(f). Find the second derivative of t(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 3*j - 6*j - 159, -5*q + j + 253 = 0. Is 51 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = 6*x + 260. Suppose -x = -6*v + v. What is the remainder when 23 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 4*sqrt(11) + 4)**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -47128.65 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 30780 divided by 570?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 747 - 700. Solve -2*h - a = -41 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*n + 22. Which is the third biggest value?  (a) n  (b) -2  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 25, 19, -905, -7 in ascending order.\nAnswer: -905, -7, 5, 19, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**8\/a*a*a**(3\/2)*(a\/(a*(a**(1\/14)*a)\/a))\/a**(-6) assuming a is positive.\nAnswer: a**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30673 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*3\/(-30))\/((-189)\/90)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.5, -4, 1324, 4 in ascending order.\nAnswer: -4, -0.5, -1\/4, 4, 1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 + -21 - 24662\/472) + (-6)\/(-4).\nAnswer: -83\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 332 = 2*v - 124. Suppose 0 = s + 5*g - g - v, s = -5*g + 229. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 6) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-1\/5))\/(p*p*p\/p**(-1\/4)))**(-13)*((p**(-12)*p)\/(p*p*p\/(p\/(p\/(p\/(p*p*p\/p**(-10)))))))**16 assuming p is positive.\nAnswer: p**(-7787\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 - -1110.380214975.\nAnswer: 1100.380214975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**2 - i. Suppose 0 = 5*s + x - 3*x + 2, -4 = 2*s - 4*x. Suppose -2*n - 4 = -s*n. Determine g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clpssvly. What is prob of sequence cl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2 - 3 + 11 - 2*y - 9. Let x(j) be the third derivative of -j**4\/6 - 7*j**3\/6 - j**2. Let n(c) = 9*t(c) - 4*x(c). Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m - 6*m - 6*m + (5 - 7 - 7)*(m + 3*m - 3*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 43140 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3851422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6152\/9 - -682. Let x = -6497\/120 + 79\/15. Let w = -49 - x. Put c, w, -3 in descending order.\nAnswer: w, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50668 divided by 478.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-11)\/14 + (-4)\/(-14). Let r = -64.3 - -64. What is the smallest value in x, 6, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 7*r + 127. Let k be x(15). Suppose -3*d = 2*d - 40. Suppose 0 = -3*u + 7 + d. Solve -1 = q + 5*z - 2*z, k = q - u*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 5. Let h be z(-8). Suppose h*o - 24 + 0 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4*c**3 - 44*c**2 + 3*c + 1. Let a be i(-11). What is the second smallest value in -57, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/(-3))\/(5*(-5)\/225). Let x(y) = 14*y. Let j be x(4). Let r = u + j. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f**2 - 2*f - 6. What is the remainder when 98 is divided by a(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/105  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 341 = -3*k, 5*b + 6 = 16. Does k = 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19671, 3, 976, 0.5 in ascending order.\nAnswer: -19671, 0.5, 3, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 15*s - 16*s + 6 = 0, 0 = -l - 3*s + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 300181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*r = 5964, -2*r = 3*r - 15. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) 3\/4  (b) 1\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14 - -15)*(0 + 16). Suppose 0 = q - 2. Suppose q*y = -2*y + n. Solve -y*l - 3*i = 2*i + 15, 3*l + 2*i + 13 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 30. Suppose q = 4*x + w, -4*x + 19 = -w - 7. Let n = 18 + 38. Calculate the greatest common factor of n and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11985\/75 + 8\/(-10). Which is smaller: 160 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 + 283?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/284 and 21\/738329.\nAnswer: 2953316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - 11 - 16)*(y - 3*y**3 + y**3 + 8*y**3)*(-4*y + y + 4*y)*(-2*y + y + 3*y).\nAnswer: -684*y**5 - 114*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**3 - 4*t + 4. Let l(o) = -6*o**3 + 5*o - 5. Let a be (-2)\/31 - 255*6\/310. Calculate a*w(h) - 4*l(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o**2 - o + 4. Let w be u(-4). Let g = w + 83\/2. Sort 0.2, g, -1\/2 in descending order.\nAnswer: g, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8813166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 61\/7 - 9. What is the nearest to -4.1 in 3\/5, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3063, -3018, -2963, -2904, -2847, -2798, -2763?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 122*4*3\/(-24). Let g = 154 + y. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -0.3, -2, 6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 6*v**2 + 8. Let u = 24 + -30. Let q be k(u). Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308.7132204757 - -90?\nAnswer: 398.7132204757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g = -0*v + 2*v - 12*g + 32 - 35, 49*v - 5*g + 162 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6058036*m**2 - 14655089*m.\nAnswer: 12116072","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, b: 1, o: 3, t: 1, s: 1}. What is prob of sequence ooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q**2. Let z(m) = 4*m**2 + 4. Let n(d) = -8*d**2 - 9. Let j(w) = -2*n(w) - 5*z(w). Determine k(j(v)).\nAnswer: -48*v**4 - 48*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1645, -6832, -15497, -27640, -43261, -62360?\nAnswer: -84937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*w + 4*c = -271, 3*c - 278 = 5*w. Let r = w - -55. Find the second derivative of 0*s**2 + 5*s + r*s - 7*s**2 - 13*s**2 wrt s.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 35988, 18 in ascending order.\nAnswer: 5, 18, 35988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxzxxxzxxx. What is prob of sequence zx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52 + 92. Let t = o + -43. Let d be 2\/32*8*2\/(-4). Sort d, -4, t, 4 in descending order.\nAnswer: 4, d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8344 - 8344. Solve -7*n = q - 2*n + 3, z = 5*q - 3*n + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + m + 3. Let f be u(3). Let l(p) = -p**3 - p**2 - p + 2. Let a be l(f). Solve -4*h = 2*s - 3 + a, s - 10 = 2*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17*(-6)\/(-3)*5\/10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 15*t - 11. Let a(b) = b - 1. Give 66*a(o) - 6*i(o).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 1 - 9 - -5) + 58 - 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -11*c**2 - 686*c - 243. Calculate y(-62).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(208))**2*6*3.\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 5. Let n be 2 + (3 - x\/(1 + -3)). Solve -5 = -n*z + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61793250 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3343*x**5 + x**4 - 45137*x.\nAnswer: 66860*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34844 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = 3*k + 9, k = -4*j + 3*k + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18031.000059292 - 18031. What is s rounded to seven dps?\nAnswer: 0.0000593","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (82\/(-533) + (-4 - (-220)\/78))*6\/76.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 6*f**2 - 6*f - 2. Let d be k(-5). Suppose 2*g - 3*m = 67, d*m + 66 = 2*g + m. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131 = -21*b - 2*p, -4*p - 4106 = -5*b - 4227 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -7*w - 2. Let u(j) = -j - 1. Give -2*u(f) - z(f).\nAnswer: 9*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3334377, -6668753, -10003129?\nAnswer: -13337505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 at most 761\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 200, 167, 52, 5.\nAnswer: 5, 52, 167, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(2 - 1) + -1. Suppose 0 = -5*s + 4*b + 360, u = -7*s + 2*s + 3*b + 355. Is 4 a factor of (6\/12)\/(2\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -146. Let s be (35\/21)\/(3\/(-531)). Let a = b - s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -109  (b) 42  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u*u**6\/u*u)*u\/((u**(3\/2)*u)\/u)*(u**(-1\/17)*u)\/(u**4*u*u)*((u**(-5)\/u)\/u*u\/(u\/((u*u**(6\/7))\/u*u))*u)**(-12) assuming u is positive.\nAnswer: u**(9081\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(475) + -1 + -1 + -2)*3)**2.\nAnswer: -360*sqrt(19) + 4419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3f39 (base 16) in base 12?\nAnswer: 9449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -57, 11, -11, -177 in increasing order.\nAnswer: -177, -57, -11, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**3 - 2*q**2 - 2*q - 1. Let m be a(-1). Suppose -21 = 6*b - 13*b. Suppose -i = -b - m. Solve 0 = -4*h - 3*j + i*j - 14, -h + 19 = 4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7672?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/(sqrt(28)\/(-3*sqrt(4) - sqrt(4))))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18474 and 4.\nAnswer: 36948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*c = -3*i - 46*c + 12, 3*i + 24 = 6*c. Solve i = -17*j - 30 - 55 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from tbuubs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**5\/100 - i**4\/40 - 2*i**3 - 18*i**2. Factor m(d).\nAnswer: 3*(d - 5)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62301136, 124602271, 186903406, 249204541?\nAnswer: 311505676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -7. Suppose -4*s + w*s + 12 = 0. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 20 = 5*g. What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 10 = 0, -j + 3*j - 2 = 2*s. Let u be (-3)\/(-3 - s)*-3. Suppose 0 = -4*f - u*a - 11, -f + 4*f - 2*a = 13. Solve -5 = -4*k - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*d - o + 21 = -38*d, 3*o - 21 = 3*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -65.5 + 65. Let o = 6.1 - 1.1. What is the third smallest value in -2\/19, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/11827 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.2, -398 in increasing order.\nAnswer: -398, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-6))**26\/(x\/x**18*x**(2\/9)) assuming x is positive.\nAnswer: x**(1789\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.15  (b) -2223  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 divided by -402264?\nAnswer: -19\/100566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47724 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22179*k**3 + 7*k**2 + 26*k + 2.\nAnswer: -133074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -942 (base 15) to base 6.\nAnswer: -13355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231200 and 20128.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*u + 2*u + 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(84)*-3*4)\/(-3*(sqrt(192) - -3*sqrt(192))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1551 greater than or equal to 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -153435785 divided by 2965\nAnswer: -51749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -1. Suppose -4*m + p + 3107 = a, -5*m + 4*p - 6*p + 3887 = 0. Suppose m = v + 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -f**4\/4 + 13*f**3\/6 - 25*f**2 - 87*f. What is the derivative of t(k) wrt k?\nAnswer: -6*k + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u - 2*q + 6, 7*u - 3*q = -7*q + 27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, o: 5, l: 5}. Give prob of sequence glgl.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, j: 1, r: 3, a: 2, q: 1}. What is prob of picking 1 a, 1 r, and 1 n?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 583, 4 in ascending order.\nAnswer: -27, 4, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5090963495.\nAnswer: 5, 53, 19211183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2661 - 2665. Which is the nearest to 0.1?  (a) 0  (b) h  (c) 143  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**4 - 435*c**3 + 855*c**2 - 425*c = 0. What is c?\nAnswer: 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -60592\nAnswer: -1\/60592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100111010011111 (base 2) to base 16.\nAnswer: 4e9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 427526 rounded to the nearest 1000?\nAnswer: 428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 116781*a**4 + 17086?\nAnswer: 467124*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 4 = 5*z. Calculate the smallest common multiple of 11 and (z - (-2)\/2) + 7.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210973 is divided by 4729.\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = r - 5*g, 3*r + 2*r + 110 = -4*g. Let v be 14\/6 + 6\/r. Suppose 5 = v*y + 3*y. What is the least common multiple of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6072898 >= 6072889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -3*g**4 + 5*g**3\/3 + 2*g**2. Let v(l) = 73*l - 9. Let n(i) = 3*v(i) + 4*z(i). Is n(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 2533 - 2553 = 25*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13566 and 3?\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211442, -213820, -216198, -218576, -220954?\nAnswer: -223332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1402098.\nAnswer: 2, 3, 233683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2769331 (base 10) in base 9?\nAnswer: 5180724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*d**2 - 29187405*d - 41575861 wrt d.\nAnswer: -4*d - 29187405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -8*y - 18. Let n be m(-3). Differentiate -70 - 80 - 62 + n*k + 189 with respect to k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26863*0.05.\nAnswer: -1343.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j - 110 = 0. Calculate the least common multiple of 10\/j + (-112)\/(-11) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126487524 and 20928?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from kjkjj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2202101 (base 3) to base 8.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-1)*-1*2\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/19, -3\/8, 0.11, -0.2, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.23 + -0.6. Let r = 3 - 3.54. Let v = y - r. What is v rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l**5\/9 + 3244*l**4\/9 + 9178*l**3\/3 + 73376*l**2\/9 + 51640*l\/9 - 7136\/3 = 0 for l.\nAnswer: -223, -4, -3, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -x + 290, -4*t = -31*x + 35*x - 1096. Calculate the least common multiple of 5 and x.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5465 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.448409 millennia to years.\nAnswer: 9448.409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -54, 5, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 111418383 at least as big as 111418380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 10 = 4*p + 6, 3*d + 15 = -3*p. Let c(o) = -6*o - 3. Does 15 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 6*x + 4. Let z be u(6). Solve 4*g + 4 = -z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*o + 287*o - 2*o**2 - 84*o - 92*o - 23*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4805 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of k**5\/75 - k**4\/15 + 2*k**3\/15 - 3*k**2 - 4*k. Let j(u) be the first derivative of m(u). Let j(a) = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*p - 12. Let i be (-8*1 - p)*1. Let w(g) = g + 5. Calculate w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 14. Suppose w + v*u - 11 = 3*u, -9 = -3*u. Let h be 4\/w + (-4)\/(-20). Sort -2\/9, h, 2\/23 in descending order.\nAnswer: h, 2\/23, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -2b45?\nAnswer: -2b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -2. What is the greatest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -160 + 331 + 1679*p**2 - 171 to l*p**2 + c*p + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 3*f + 38918 + 22320, f = 1. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 18, 57, 120, 207, 318, 453?\n\"Answer: 12*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 16*u**2 + u + 1. Let d be s(-1). Let b be (-1)\/(10\/d)*-5. Solve -b = -i - i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 807 divided by -807.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 432 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14 and 1160607.3.\nAnswer: 16248502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 6*s**2 + 5*s - 4. Let i be a(-5). Let u be (15\/(-21))\/((-2)\/14). Let j(o) = -o + 4. Let n be j(4). Sort n, i, u in ascending order.\nAnswer: i, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 10191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*f**4 + 154652*f - 154784*f + 97*f**4 wrt f?\nAnswer: 1392*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 1. Let p(z) = -z. Let c be p(-5). Suppose -5*r = -10*r + c. Let a be d(r). Solve -h + 5 = -a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*v**2 + 0*v**2 + v**2 + 9*v**2 - 23*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1806 + -1805.8. Which is the closest to -3\/7?  (a) 0.5  (b) -1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 1710*r**2 - 860*r**2 - 848*r**2. Suppose 0 = w + w - 16. Let i(h) = w*h + 7*h + 0*h. Calculate i(d(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4258 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**3 + 10*s**2 + 74*s + 2. Determine o(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10561*u - 69 + 10587*u + 69.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1495751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -7282853+-1\nAnswer: -7282854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*456\/(-160) - (1782\/12)\/(-33)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3530187 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 9 = -21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -582*q - 1193*q - 252*q + 76*q + 37069 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/3267  (b) 756  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2001*o + 2105*o + 728 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*p + 8*p = -100*p - 37*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*h - 5*h + 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4251765 and 162?\nAnswer: 229595310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1870 + 1.59?\nAnswer: -1868.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-36)\/(-240)*12?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2156 and 27979.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70312119?\nAnswer: 3, 17, 1378669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -l**2\/2 + 1087*l. Let v(g) = -2*g**3 - g**2 - g - 4. Determine 4*n(o) - v(o).\nAnswer: 2*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 365.646135 - 365.59. What is a rounded to three decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 153?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*g - 44 = -29*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251099 is divided by 3164?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1653 and 684.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2420 - -2430. Solve -2*y + 4*l = 10, 0 = z*y - 7*y + 4*l - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4971.099 rounded to the nearest ten?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 9030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2923791 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*r - 10. Suppose -4*w - d - 12 = 0, 5*w = 5*d - 52 + r. Let h be ((-1)\/(-3) - 2)*3. Sort h, w, 1 in descending order.\nAnswer: 1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from ororoqrqrrdrqdqobpb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 + 3*c + 3. Let k(m) be the first derivative of -4*m**3\/3 - 5*m**2\/2 - 5*m + 15. Give -5*j(a) - 3*k(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*y**2 + 5*y**2 + 10*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = -5*x - 5. Let c be 0 + -1*x\/4. What is the second derivative of -7*w**2 + 2*w + 19 - 19 - c*w wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 668, 2, 0, -17, 4, 5 in increasing order.\nAnswer: -17, 0, 2, 4, 5, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4641.371 kilograms?\nAnswer: 4.641371","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**3\/2 + 3*t - 6. Let h(a) = -23*a. Give f(h(d)).\nAnswer: -69*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**4 - 15*w**3 + 5*w**2 + 15*w.\nAnswer: -5*w*(w - 1)*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2433, -9560, -21377, -37878, -59057, -84908, -115425, -150602?\n\"Answer: f**3 - 2351*f**2 - 81*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.7 + -1.7. Let k be -1*(2\/(-1))\/1. Let r be 1\/(-2 + k\/2). Is r less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 13, a: 6}. Give prob of sequence ua.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 265.2939 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 2, -1, 0.318?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 172474919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/3 + 4\/3. Let j = -0.4 + 0.3. What is the closest to -0.1 in 1\/3, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(-1)\/(-12) - -1. Let g(l) = -3*l - 2. Let x be g(-4). Suppose 0*s + x = -2*s. Which is the nearest to 2?  (a) 5  (b) s  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*p + 3935 = 0, 3144 = 4*z + 2*p - 0*p. Suppose -5*v - 326 = -q + 480, 2*v - z = -q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 33 = -4*o, 4*u + 20 = 6*u - 2*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 85. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6726341 decades to centuries.\nAnswer: 0.06726341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - i + 2. Let p be t(10). Let y = 107 - p. Let f be (-5 + 11)*10\/y. Solve 0*o + 5*o - 33 = -2*b, o = f*b - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 4*r + 12, c + 3*r + 26 = 17 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9027132329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3112100 (base 4) to base 16.\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, 2, 3, 4, 5?\n\"Answer: u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 13\/((-26)\/(-16)) - 253. Let v = d - -2697\/11. Sort 1\/5, -0.3, 0.5, v in increasing order.\nAnswer: -0.3, v, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -2. Let a(m) be the third derivative of -m**4\/6 - 12*m**2. Calculate a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96 + 100. Calculate the remainder when 98 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m + 19*m + 92605*m**2 - 46312*m**2 - 46275*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -105 + 423\/4. Sort 1\/9, -2, -1, k in increasing order.\nAnswer: -2, -1, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 175*b + 176*b - 5, -2*i = -2*b + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -8\/7, 2.95892?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 7:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 4. What are the prime factors of 67 - (l - -2 - (7 - 5))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = 3*l - 8709, -68*i = -63*i + 2*l - 6221. Solve -1240 + i = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -5*a**2 + 4*a + 5. Give k(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, k: 2, o: 1}. Give prob of sequence dk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 9. Suppose -k + 17 = -19. Calculate the highest common divisor of u and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3)*(2*l + 2*l - 2*l) + (0 + 11 + 0)*(7*l - 2*l - 2*l + (0*l + 3*l - 2*l)*(1 - 2 + 2)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 75 and 8256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-75)*(-4757)\/(-1407) and -87\/56.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1190 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*h - 12*h = -282. Solve 0 = r - 5*w - 1 - 0, -3*r + 3 = h*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3789857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 0*c + 8. Factor 6*i**2 - 9*i**3 - 3*i**c - 3*i**4 + 3*i**5 + 6*i**3.\nAnswer: 3*i**2*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 1. Let j be ((-6)\/(-7))\/(15\/(-105)). What is z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 149013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-8) + ((-129)\/(-10))\/((-474)\/(-1185))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 12 = -10*p. Suppose p*v + 4*y + 3 = 9, 2*y = -v + 2. Factor 9*z**v + 6\/5 + 51\/5*z.\nAnswer: 3*(z + 1)*(15*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -5*k. Suppose -4*s - 2464 = -7*s + 4*x, -s - x + 826 = 0. Let j(z) = -s + 3*z + 824. What is j(h(t))?\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (103 - 188*c**2 - 103)*(3 + 9*c**2 - 3) - 4 + 4 + 2*c**4 as a*c**4 + h + s*c**3 + w*c**2 + i*c and give a.\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15158.\nAnswer: 2, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2226*g**2 + 6*g + 2. Let c(h) = -6679*h**2 - 17*h - 6. Determine 4*c(u) + 11*z(u).\nAnswer: -2230*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - w + 2. Let o(y) = y - 5. Let r be o(5). Let g be q(r). What is the first derivative of -3*c**2 + 12 + 6 + 2*c**g - 8 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 7 - 9 = 0. Let q(h) = 15*h. Let p be q(2). Suppose -3*a - 8 = -4*x + 26, -u*x + a = -p. Solve -x - 5 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 221001?\nAnswer: -221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*w = 1095 + 1605. Solve 0 = 33*z - 3*z + w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**10*h)\/h**(8\/5)*h\/(h*h*h**1)*h\/h**(1\/16)*h assuming h is positive.\nAnswer: h**(747\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2. Let i(c) = 304*c**2. Give i(t(d)).\nAnswer: 1216*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 31*v**3 - 17*v**3 - 16*v**3 + 109*v - 10*v**3 + 19*v**3 to z*v**2 + y*v**3 + b*v + h and give b.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4830348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/18*8\/(-50)*2795\/(-4472)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a\/a**(5\/6))*a*a*a*a\/a**0*a)\/(a\/(a\/a**3))**(-50) assuming a is positive.\nAnswer: a**(941\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71441 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4\/3, -26, 0.1, -35?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16721752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (27 - 5) + (-19 - -36).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d - 23616*d**3 - 5*d + 3*d.\nAnswer: -23616*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31 + (0\/(-2) - 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/18 and -11\/870.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-288))\/(((-78)\/6)\/3159)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-6))\/((-18)\/252).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 70.\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.294 and -10.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 0*r + 0*r)*(5*r + 0*r - 4*r)*(-750*r + 0*r**2 + 2*r**2 + 749*r).\nAnswer: -4*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*b + 4*n, 3*b - 3*n = b + 7. Let a(k) = 0 - b - 1 + 4*k + 2. Let h be a(2). What is the highest common factor of 44 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 2:45 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 121 - 121 + n + n. Let j(o) = 6*o**2 - 11. Calculate j(h(l)).\nAnswer: 24*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 455784 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 6*s - 6. Let l be w(8). Let u = l + -5. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1980 and 155700.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16657 + -12385. What is the remainder when d is divided by 854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2827451 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -1. Suppose -m*d + 0*d = -150. What is the remainder when d is divided by (-180)\/(-14) + (-3)\/(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57 - 62. What is the third biggest value in g, -3, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.9566 rounded to 2 decimal places?\nAnswer: -3.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {d: 1, g: 5, t: 4, j: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, c: 15, l: 2}. What is prob of picking 4 c?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of j**8\/504 + j**7\/105 - j**6\/12 + 17*j**5\/90 - j**4\/6 + 60*j**2. Let x(t) = 0. Calculate t.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1157 and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/14  (b) 0.5  (c) -1  (d) 7\/6  (e) -0.3  (f) 154\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -242834*n**3 - 2*n**2 - 1070081*n + 1.\nAnswer: -1457004*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.24627 nanometers to meters.\nAnswer: 0.00000003124627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 985 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/2 and -3\/961 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 - -0.2. Let o be 2\/1*(-3 + 5\/2). Is z at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 19*f**2 - 49*f + 9. Let r be w(-16). Let m = 131 - 31. Calculate the greatest common divisor of m and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 438327, 438158, 437989, 437820, 437651?\nAnswer: 437482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 232\/58 - 1*13\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.43272 years in millennia?\nAnswer: 0.09843272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96 + -93. Let n = 174 + -174. Solve t*r = p - 10, r - p = -n*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 3*i**2 + i. Let y(v) = 36*v - 33. Let p(w) = 13*w - 12. Let m(h) = 22*p(h) - 8*y(h). Determine c(m(k)).\nAnswer: 12*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - 9*f + 8. Let d be k(10). Let s = -19 + d. Which is the third smallest value?  (a) s  (b) 3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/84 and -37\/4116?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(2) - (sqrt(20)\/(sqrt(50)\/sqrt(5)))**2) + 3.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/6 - 23667\/(-1449)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8963 divided by -4899\nAnswer: -8963\/4899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 655 + (0 - -1) + -4. Let f = 9841\/15 - y. Let p = 3847\/780 - 45\/52. Calculate the common denominator of f and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 2\/11, 0.5, 5, 14617?\nAnswer: 14617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63 - 17. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -456570 - -456575. What is the lowest common multiple of q and 22\/(-4)*(-23 - 3)?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -5*s + 240 - 40, 32 = -6*q - 5*s + 182 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1332, 2407, 3482?\nAnswer: 4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 332 + 106. Let c = 148 + d. Calculate the highest common factor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 780262954 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.875 + 37. Let k = 193.5 + -189.5. Let v = k + x. What is v rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (56\/(-42))\/((-8)\/54). Suppose 2*f = -3*c + 16, t*f - 33 = -5*c + 12*f. Let d = -2 + 4. Solve -d*m - m = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2*t - 138. Let b = t - -62. Let y be (-8)\/(b\/105 + -1). Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z - 16. Let d(x) = x**2 + 9*x - 4. What is w(d(h))?\nAnswer: h**2 + 9*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -2, 2, 21 in increasing order.\nAnswer: -2, 0, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 943 (base 12) to base 5\nAnswer: 20342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1528 is divided by 166.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 92 - 226. Let i = -86 + p. Solve -3*t - t = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 406471 and 0.09.\nAnswer: 36582.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*i**2*m**2 + 9*i**2*m + 23*i**2 - i*m**2 + 2*i + 3*m**2 wrt m.\nAnswer: -18*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*1\/(-2))\/((-154)\/1386).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -7*o + 8. Solve 0 = -p + 3*l + 10, -l - o*l - 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 10*d**2 - 26*d - 77. Determine r(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/4 + 1579*h**2\/4 - 45025*h\/4 - 46603\/4.\nAnswer: (h - 29)*(h + 1)*(h + 1607)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2419180 divided by -1\nAnswer: 2419180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*d = -51 - 285 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 - 54. List the prime factors of 420 - -6 - 6 - b.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 2 - 12. Let m(l) = -l + l - f*l. Let p(q) = -3*q**2. Calculate m(p(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q. Let a = -123 - -125. Let u(f) = 19*f**a + 169 - 169. Give u(m(z)).\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 425 divide 251175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 105, 301, 581, 945, 1393, 1925?\nAnswer: 2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -236\/9  (b) 0  (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002948040162 rounded to seven dps?\nAnswer: 0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 235 - -65. What is the greatest common factor of 50 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*c - c - 11, -4*c - 4 = 0. Let j(b) = b**2 - 3*b + 2. Let o be j(s). Suppose o = -k - 6*k + 28. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -188702283*a**2 - 110542278*a - 16188987.\nAnswer: -3*(7931*a + 2323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19602 = -522*w - 204*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -54, 4\/9.\nAnswer: -54, -4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -156*d - 6. Let j be q(1). Let o be (1\/(-3))\/((1\/j)\/1). Let k(v) = v**2 + 5*v + 6. Let y be k(-5). What is the highest common factor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) 3  (c) -0.5  (d) -5  (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 1, 1394.58.\nAnswer: -1\/3, 1, 1394.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -167376*h**3 - 6*h + 16040391.\nAnswer: -502128*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 66 + -47. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 80 and 0.084.\nAnswer: 80.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-2 - -4) + (-4)\/8)\/(14\/(-28))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 4:40 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 2 - ((-28 - -20) + (0 - (-4 - 79)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2318, -1\/3, 88, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -0.007884?\nAnswer: -0.031536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3 + 147*o**2\/2 + 390*o - 1521\/2.\nAnswer: 3*(o + 13)**2*(2*o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 194*u + 407. Is z(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/8)\/36 + 51*2\/(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1184)\/(-10))\/(20\/750). Let r = 1490 - t. What is r rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -15*(-2)\/20 - (-1562)\/4. Let h be -5*(u\/(-48) - -8). Let j = -3 + 8. Which is the third biggest value?  (a) -2\/3  (b) j  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 745272 != 745273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 0.3, -1, 2\/11, 17 in increasing order.\nAnswer: -1, 2\/11, 2\/9, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*q - 363 = 0, 383*q + 389 = 5*y + 386*q. Solve y + 74 = -39*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5254\/3 + 1754. Factor 16\/3*b**4 - 1\/3 - 5*b**2 - n*b + 8\/3*b**3.\nAnswer: (b - 1)*(b + 1)*(4*b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**2 + 0*x**2 - 72*x**3 - 4*x**2 + 25392*x**3.\nAnswer: 25320*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*l**2 + 2*l + l**3 + 0*l - 3*l**2 - 3*l to f*l**2 + m + i*l**3 + c*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1482 and 49590?\nAnswer: 644670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 7 - 25 = 0. Suppose -b*a - 7 + 103 = 0. Suppose a*y - 1037 = 1651. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of l**3\/6 + 2*l. Let v(z) = -z**2 - 15*z. Let a(f) = 15*b(f) + 3*v(f). Factor a(y).\nAnswer: -3*y*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 382 * 13685.04\nAnswer: 5227685.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103 + 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(153) + (-4 + -2*sqrt(17) + sqrt(17))**2).\nAnswer: -198 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 268 and 157517?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6398 - -6400. Solve -c + 4*b = -8, x*c + 3*b = 5*c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {c: 1, w: 1, o: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2220371 is divided by 1039?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -48*(-2)\/3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of 0 + 0*d + 1\/2*d**3 - 1\/90*d**5 + 1\/720*d**6 - 1\/48*d**4 + 26*d**2. Factor f(a).\nAnswer: (a - 3)**2*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 3*u - 36, -4*u = 3*y - 3 - 37. Suppose y*r - 5*f = 6*r + 25, -2*f - 16 = -2*r. Differentiate -510*p**2 + 6*p**4 + 510*p**2 - r wrt p.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {g: 1, k: 7, e: 1, d: 1, c: 7}?\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27352070?\nAnswer: 2, 5, 2735207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/81  (b) 0.03  (c) -93128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxn when three letters picked without replacement from {n: 1, x: 1, e: 2, z: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/5 + -17 + 10841\/518?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -384*i - 383*i + 769*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 353 = 33*c - 29*c - 37*p, 47 = 4*c - 3*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 976358839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 122, -2\/11, -4.\nAnswer: -4, -2\/11, -1\/6, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of q + 21*q - 18*q**4 + 30*q**4 wrt q?\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 5.4. Let w = -0.6 + j. Is w at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -t**4\/8 - t**3\/6 - t**2. Suppose -2*c - 2 = -c. Does 5 divide u(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237600 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1121 + -10222100201?\nAnswer: -10222102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31410 divided by 6.\nAnswer: 5235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17\/3099 - 35795\/59914. Calculate the common denominator of v and 77\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 171, 387, 701, 1119, 1647, 2291?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 12*p**2 + 33*p - 10. Give o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 8:02 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 332*b + 1. Let t = -2 + 4. Let p be w(t). Suppose 0 = -6*l + p + 343. What is the greatest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/4*14\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/40 and -3\/92360.\nAnswer: 92360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 3*h - 6*h)*(-89 + 47 - 52)*(2 + 0 - 1)*(-5 - 1 + 2)*(0*h + 0*h - h).\nAnswer: 752*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyiyadyidyy. Give prob of picking 1 i and 1 y.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 130632770.2103867 + -130632760. Let d = -10.21 + c. What is d rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*f - 69*f - 304*f**3 - 1587*f**3 + 27*f.\nAnswer: -1891*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 94064*y**6 - 72153*y**2 wrt y.\nAnswer: 11287680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32980*c**2*y**3 - 14*c**2*y**2 + 24*c**2*y - 20996349*c*y**3 wrt c?\nAnswer: 65960*y**3 - 28*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2415204 (base 6) to base 11.\nAnswer: 87355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 18 + 15 = 2*o, -6 = 2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m - 2*m - 19 - 12. What is the remainder when 39 is divided by t(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 5, -0.6 in descending order.\nAnswer: 5, -0.6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 91 - 88. Suppose 0*x = x - d, -c + 4*x = -389. Suppose 0*b + c = 2*b + k, 206 = b - 5*k. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hphkhphpk. What is prob of sequence khhk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllfllflllll. What is prob of picking 1 l and 1 f?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47.839 + -3.\nAnswer: 44.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 7*n**5 + 4*n**4 - 5*n**2. Let r(j) = -j**5 + j**4. Suppose -4*i = -9*i - 5. Let u(d) = i*q(d) + 4*r(d). Find the third derivative of u(h) wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -12.95  (b) 6\/11  (c) 109\/4  (d) 6  (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.47 - 4.072. Let x = j - 0.098. Let r = -0.6 - -0.1. What is the second smallest value in -1, x, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 2 - 116*h + 2 to the form g*h + m and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 2:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k. Let a(s) = 328367*s. Calculate a(b(n)).\nAnswer: 985101*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/20 and -71\/10923462.\nAnswer: 109234620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 782, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 808\/4*(2 + 6)\/4. Let b = z - 145. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -815613, -13, 4, -4, 1 in increasing order.\nAnswer: -815613, -13, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 67?  (a) -0.3  (b) -14  (c) 2  (d) -0.5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 13*a = -864. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 409*u + 41733. Give y(-195).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/7 in -834, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(432) + -1) - ((0 + sqrt(432) + sqrt(432))*-5 - sqrt(432)))**2 + -1 + (0 + sqrt(432) - sqrt(432)) + -2.\nAnswer: 240*sqrt(3) + 43198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 6*o + o + 25, -19 = 2*m - 5*o. Let j = 4 + m. Let w = 18 - -2. Solve 5*d + 20 = -c, 7*d = j*d + 3*c - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41845220 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 103, 146, 189, 232, 275?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22964 + 64427. Let g = 41464.19878 - d. Let i = g + -1.2. Round i to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169 + 169 - 85*x**2.\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*k + 43, 2*k = 5*i - 2*k + 63. Let h be (0 + i)*(-15)\/(-15). Let z = -7 - h. Is z < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(7 + 32\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 6 + 5 - 4 - q + 17. Let s be w(-21). What is the greatest common divisor of 255 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 193 divide 2245957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -a - 5*q, -4*a - 278*q = -281*q + 37 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -4*a**2 + 2*a + a**3 + 6*a**2 - 4*a**2. Let u = 46 - 44. Calculate the remainder when f(u) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d. Let s(t) = -3*t**2 - 4*t + 52. Give s(z(g)).\nAnswer: -12*g**2 - 8*g + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 3. Let t = -2 + 3. Suppose 2*i + t = d, 3*d - i + 1 = i. Which is the nearest to q?  (a) -4\/5  (b) -2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 204\/36 + 5\/3)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 83 - 53 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t. Suppose o = -3*b + 4 + 2, 0 = -2*o - 2*b + 8. Suppose 3*z + 0*z = -3*m - 6, -o*z + 5*m + 10 = 0. Let c(p) = z*p**2 + 0 - 3*p**2 + 0. Give c(y(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 3:31 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 640131684?\nAnswer: 2, 3, 53344307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 58, 90, 122?\n\"Answer: 32*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 10, k: 4, l: 1, m: 2}. Give prob of sequence lm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15.47 from -0.051.\nAnswer: -15.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 30 = -3*p, -4*y = 180*p - 181*p + 31 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 161*i - 998. Give s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2542*y - 2543*y = -2*v + 24, -4*y - 56 = -4*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, d: 7}. What is prob of sequence zz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 75763.1 or -1?\nAnswer: 75763.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 189*x - 72. Let t be c(-13). Let b = t - -5012. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 21*i**2 + 107*i + 856. Determine z(-18).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2*s = -148, 142 = -4*l + 8*l - s. Suppose 0 = 3*q - 10 + 4. Suppose -q*m - 3*m = -100. What is the remainder when l is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 - 5*j + 4. Let u(a) = a**2 - a + 1. Suppose 2*l - 2 + 4 = 0. Determine l*d(f) + 4*u(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5717857511794 and 3?\nAnswer: 5717857511797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and -0.16?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0911, 2, -39\/7, 0.3, -11 in decreasing order.\nAnswer: 2, 0.3, 0.0911, -39\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/2154354 and -103\/45740.\nAnswer: 21543540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = j - 3*r, -3*j + 18 = -3*r. Let u(y) = 8*y**3 - 5*y**3 - 1 - 2*y**3 - 3*y**j + y. Calculate u(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -8 - 106*r**2 + 3*r - 4*r + 2. Is m(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 25 - 2*z**2 - 25)*(784*z**2 - 784*z**2 + 41*z**3).\nAnswer: -82*z**5 - 82*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42 - (-3 + 0\/(-2) + 4). Let k = 37 - n. What is the smallest common multiple of 6 - 0*(k\/(-1))\/8 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 1379.\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 638931659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 462 and 12988624?\nAnswer: 272761104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (120*o + 0 + 116*o + 2*o**2 - 1)*(0*o**2 + 0*o**2 - 2*o**2) - 4*o**2 - 2*o**4 + 4*o**2 to b*o**2 + z*o**4 + t + x*o**3 + d*o and give x.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5573315 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3902 - -31155\/8. What is the common denominator of x and 125\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 - 2. Let v = -0.1 - h. Let i = -0.22 - v. Round i to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 3*v + 1\/22*v**4 + 1\/165*v**6 + 1\/33*v**3 + 0 + 3\/110*v**5 + 0*v**2. What is t in y(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15968175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4*(sqrt(1872) + 2)**2 - sqrt(1872)) + sqrt(1872) + -5*1*sqrt(1872).\nAnswer: 132*sqrt(13) + 7505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*b - 5*b + 2*b)*(4*b + 0*b - 5*b) + 35*b - 414 + 52*b**2 + 420*b**2 + 414 to the form l + w*b**2 + s*b and give w.\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2121 and 13649.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, q: 4, r: 1, k: 1, o: 1}. What is prob of sequence qqrs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)*f**0*f*f**(-8\/7)*f*f\/(f*f\/f**(3\/2)))**(6\/7) assuming f is positive.\nAnswer: f**(-279\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, q: 1, e: 1}. What is prob of picking 1 q, 1 j, and 1 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 0*h**2 + h**2 + 4 + h - 3. What is the units digit of i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1031*b = -3050*b - 1565*b - 711396 for b.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.932 + 0.048. What is b rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z - 448 + 0*z + 771 - 323 + 179*z**2 - 185*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-36))**(2\/27)\/(b*b**(-26))**38 assuming b is positive.\nAnswer: b**(2842\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 14. Suppose 3*d + 7 = 1. Suppose 5*j - 5 = w, 5*j + 5 = 3*w - 0*j. Sort w, b, d in decreasing order.\nAnswer: w, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1031233491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2186616748.\nAnswer: 2, 19, 313, 91921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 less than or equal to -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*s + 4*t + 128, -2*s - 86 = -5*t. What is the common denominator of (-1740)\/1566 + 2380\/1656 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29.3 - 39.51. Let k = p + 69. Suppose 2*x = -2*x. What is the smallest value in x, k, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.48, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -5*k**4\/24 - 9*k**3\/2 + 36*k**2. Does 4 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2207 in -0.1, 0, -0.5, 2\/15, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.2921 * -75.\nAnswer: 96.9075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9741 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 10:13 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 446370323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 35295\/1991 - (-3)\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*n**2 - 303*n**3 - 132*n**2 + 41*n**2 + 38*n**2.\nAnswer: -303*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2. Suppose 138 = -3*x + 900. Let j = 559 - x. Let l(d) = j - 305 - 49*d. Give l(p(u)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvowwwwwpwvwdooww. What is prob of picking 1 v and 1 p?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -110, -228, -380, -560, -762, -980?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.064164 - 0.064. What is q rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5256 + 2193. What are the prime factors of k?\nAnswer: 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 542190.\nAnswer: 2, 3, 5, 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 6700*i + 455614. Give u(-68).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - 3*b + 5*b)*(-b**4 + 0*b**4 - b**4) - 2*b**3 - 2*b**5 + 2*b**3 + (0*b**3 + 3*b**3 - 2*b**3)*(b**2 - 6*b**2 + b**2).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/3)\/((-44)\/6))\/((-15)\/15)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 131135 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 8*p**2 + p + 18. Let z be d(-8). Suppose -2*g - z = -8. Sort 1, g, 4, -3 in increasing order.\nAnswer: -3, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5560301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -2139 + 2155. Calculate the greatest common divisor of 2736 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11803*l + 31960 = 10863*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -25*p**3 + p**2 - 2. What is q(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81 - 81.3. Which is the third biggest value?  (a) -6  (b) t  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3241 + 3864. Calculate the remainder when t is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210579 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5*n + 21. Let z be q(9). Let y = 45 + z. What is the remainder when 144 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**6\/h**(1\/8)*h*(h*h**(-1\/10))\/h*h**(2\/19) assuming h is positive.\nAnswer: h**(5229\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s - 2. Let t(o) = -1. Let m(r) = b(r) + 2*t(r). Let x(a) = -3*a + 7. Let y(i) = -5*m(i) - 3*x(i). Determine y(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7804626?\nAnswer: 2, 3, 1300771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3036 is divided by 98580\/2604 + 2\/14?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -11101010001000100001?\nAnswer: 11101010001000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-450)\/(-42) - 118\/(-413).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5155567 grams to kilograms.\nAnswer: 0.0005155567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -29*w**4\/24 - w**3\/3 - 26*w**2. Let i be h(-1). Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20\/11*d**2 - 2\/11*d**3 + 74\/11*d + 52\/11 = 0. What is d?\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14121, -28260, -42403, -56550, -70701, -84856, -99015?\nAnswer: -113178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 3\/4  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0\/4)\/(3\/3 - 3). Suppose n = m - 4*n - 35, 4*m + 3*n = 48. Solve -3*v + w = -m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2055102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus 163311.47?\nAnswer: 163311.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -678, -1571, -3048, -5103, -7730, -10923?\n\"Answer: c**3 - 298*c**2 - 6*c - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - (-7)\/(-2))\/((-71)\/(-284)). Solve -3*i + 7*i = 3*b + 8, -14 = 3*b + y*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -1 - 3) + -11 + 0 + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -4*u**2 + 28*u - 5. Let s be n(3). Solve s*o = -3*j - 21 + 6, j - 11 = 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1780*h - 64027 = 291*h for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -13*o. Let m(g) = -3196*g - 3290. Let t(f) = -39*f - 40. Let u(q) = -4*m(q) + 329*t(q). Determine u(a(p)).\nAnswer: 611*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 7:47 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*x = 1732, 5*p + 1858 = 5*x + 10698. Calculate the smallest common multiple of p and 8.\nAnswer: 7048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyuuyyy. Give prob of picking 2 y.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -278604 (base 9) in base 5?\nAnswer: -20422342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.061  (b) 3  (c) 193  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1244233 is divided by 1036.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 - 4*l - 2. Let q be d(0). Let u = q + -6. Let t be (4\/24*u)\/(0 - -2). Are t and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**2 + 25*l - 6. Let u(s) = s**2 + 13*s - 3. Let f(p) = 4*q(p) - 7*u(p). Calculate the remainder when f(3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**3 - 2*d**2 + 2*d. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 24*h + 26*h. Let u(k) = 3*k + 10 - 11 - h*k. Let v(m) = 1. Suppose 3*q - 4 - 4 = -b, -b = -q + 4. Calculate q*v(z) + 2*u(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b - 3. Let g(u) = -3*u + 2. Suppose 23 = -4*d + 43. Determine d*g(l) + 4*h(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03076547 rounded to four dps?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -50 in 2\/9, -28, 1\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -q - q + 14, 2*q - 8 = 4*i. Let g(y) = 2*y**2 + 8*y + 4. Let h be g(-3). Let d = h + 7. Solve 2*b - 2 + q = -v, -d*b - 15 = 5*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4034663042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(2\/9)*v*v*v*v*v**0)**(14\/3) assuming v is positive.\nAnswer: v**(602\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 9:26 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -y + 2. Suppose -36 = -2*b + y. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 160947816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + z - z)*(-4 - 4 + 4)*(-88*z**2 + 210 - 210).\nAnswer: 352*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*k + 618 - 598 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 10*o**2 - 8*o. Let h be p(1). Let b(v) = -v**3 - v**2 + 4*v - 1. Determine b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**0*u*u)*u)**(-13)\/(u\/(u\/((u*u*u**(1\/4))\/u*u*u)))**(-1))**(-9\/4) assuming u is positive.\nAnswer: u**(-117\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 45 + (-3 - -4) + -3. Let q = -16 + i. Let u = q + -5. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1088147251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 40169 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -10. Suppose -2*r = -4*r. Suppose 4*o - 4*l - 28 = r, y = -0*o - 4*o - 5*l + 19. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33 by -33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2317*k + 2316*k + 109 - 616.\nAnswer: -k - 507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 + 4*s + 3. Let d be m(-2). Let o = 3 + d. Let z(l) = l**2 - 6*l + 9. Is 3 a factor of z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.3  (b) 1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 - 12. Suppose h*y - 221 = 10*y. Suppose -y*c = -19*c + 24. Solve -8*p = -c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1039 - -980) + (22 - 1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -88 + 3715.37\nAnswer: 3627.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3306140.124 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1 and 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**0*v*v*v*v**13*(v**(3\/2))**(-7\/8) assuming v is positive.\nAnswer: v**(251\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -3*h - 5. Let i be 2\/(4 + h) + 5. What is the derivative of 18*b**i + 6 - b**4 - 25 + 6*b**4 wrt b?\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4412164 (base 11) to base 6.\nAnswer: -434022034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -83. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(5445) - (sqrt(5445)*1 - sqrt(5445))) - sqrt(5445))**2 + (sqrt(180) - (-1 + sqrt(180))**2) + 2*sqrt(45)*-6 + -4)*6.\nAnswer: -108*sqrt(5) + 129570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 985024 to the power of 1\/2, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 5*c**2 + 2*c + 8. Let k(d) = -85*d**2 - 35*d - 140. Let o(u) = -2*k(u) - 35*l(u). Let j(f) = -2*f - 29. Determine o(j(r)).\nAnswer: -20*r**2 - 580*r - 4205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 696 = -58*m - 138 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -4. Let s = -72.5 + 73. Let m = -0.68 + -1.32. Which is the nearest to m?  (a) i  (b) 3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 4*s - 13)*(2 - 7 - 3)*(5*s**3 - s**3 + 0*s**3).\nAnswer: 128*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 + 3)*(-2*o + 12*o + 7*o)*(-2*o - 1 + 1)*(1 - 4 + 4) in the form w*o**2 + q*o + y and give w.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-159)\/(-33) + 12\/66. Suppose 0 = -a + u*d + 2, 2*d - 8 = -0*a - 4*a. Sort 5, 4, a in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2*q)**(-36)*q**1*q*q*q**5 assuming q is positive.\nAnswer: q**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 less than 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18517*m**3*o + 9*m**3 - 2*m*o + m - 6037 wrt m.\nAnswer: 111102*m*o + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.559?  (a) 4  (b) 2\/3  (c) -1  (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -11 + 12 + 0 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b91136 + -2?\nAnswer: b91134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(27)\/sqrt(3))\/(sqrt(6)\/(sqrt(2)*3)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.032 - -0.054. Let n = 0.08600079 - l. Round n to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 797590 divided by 183.\nAnswer: 797590\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(114) + sqrt(114))*5)\/(sqrt(66)\/(sqrt(11)*-3)) - (sqrt(57)\/(sqrt(3)*-1) - (sqrt(19) - (2 + sqrt(19)*2))**2 - sqrt(38)\/sqrt(8)*-1).\nAnswer: 23 + 39*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - i**2 + i + 40. Let d be t(0). Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4310 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*h**2 + 188 - 400 + 49*h**2 to r*h**2 + n + s*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of l**2\/2 + 2. Let k(b) = b**2 + 4*b - 4. Let j(n) = 3*n - 3. Let y(s) = -4*j(s) + 3*k(s). What is y(v(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*b + 4925 + 5620, -2*r = -3*b - 7915. Let d be (-4 - b\/800) + (-4)\/(-5). What is the second biggest value in d, 0, 0.4, -4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*h - 6, -2*h + 9 = -5*y + h. Suppose -6*m + y*m = -84. Solve 2*d - 3*u - m = 4*d, 3*d = 5*u + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 4:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 6 - 12) + -65 - (142 - 150)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 24 = -2*p, -4*r + 2*p = -p - 10. Suppose 4*q - 848 - 688 = -4*b, 0 = b + r. Let s = -209 + q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75\/(-100)*16\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 260\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12363186 by 374642.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 562*s = -559*s - 9, 449*g - 3*s + 913 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1776101 is divided by 1625.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g - 2*g - g + 0 + 0 - g + (-1 + 2*g + 1)*(2 + 1 - 5) + g + g + 0*g + (3 - 2 - 3)*(0 - g + 0) + 2*g + 5 - 5 + 33*g + 897 - 897.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 39 + -17. Let g = 33 - f. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 304 divide 464836524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1060881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 5*i = -22 + 29, t - 8 = 4*i. Suppose -5*j = -4*j. Solve -10 = -2*r - t*m, j = -4*m + 1 + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Let i = -91 + 90. Which is the second biggest value?  (a) r  (b) -4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 231\/(-567) - (-11*(-22)\/121 - (-14)\/(-6))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 106*p + 102*p + 30*p - 48*p + (2 - 2 - 2*p)*(0 - 1 + 3) - 2*p + 3*p - 3*p.\nAnswer: 184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 1, -5\/4, 13\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmzmmzmmzmmzmnzmmmo. What is prob of picking 1 o, 1 z, and 1 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*m - 3 = 0. Suppose 2*d - 2*a = 3*d - m, 0 = 3*d + 2*a - 7. Suppose -d*b + 4 + 2 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**2 + 15*x + 22. What is the remainder when z(-6) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 17, 30, 47?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 263, 617, 959, 1283, 1583, 1853, 2087, 2279?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rjjjjjjjjrjjjrjjjjjj. What is prob of sequence rjr?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 21332*j + 21335*j - 1362 - 42668*j + (2 - 6 + 2)*(-3*j + 4*j - 2*j) as u*j + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + s + 46, -5*s = -2*z - 10 - 3. Let u = z - -13. Solve 2*b - 5*t - 5 = 0, 0 = u*b - 0*t - t - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -9432*g**3 - g**2 + 19*g + 22. Let z be d(-1). Calculate the highest common divisor of 178 and z.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -169, -354, -851, -1816, -3405, -5774?\nAnswer: -9079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x. Let k(u) = 55*u**2 - 45*u. Let r(y) = 5*y**2 - 4*y. Let w(g) = 4*k(g) - 45*r(g). Give n(w(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -172956  (c) 2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 + 3)*(-9 + 4 + 35)*(2 + j - 2) in the form g + o*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.18  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + 5)*84\/140 - (1 - 6). Solve 1 = -7*c + a*c + 5*j, 3*j = -5*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3\/2 - 3*n**2\/2 + 2 = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -9. Let u(h) = 2*h**2 + 2*h + 4. Let r be u(z). Suppose -2*x - 14 = -2*g, -4*g = 6*x - x - r. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/((21\/(-7))\/3). Solve -p + 24 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8714104 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.567 + 1.51. Let y = -38.9049 - 1.0381. Let a = t + y. Sort a, 2, -0.1 in increasing order.\nAnswer: a, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42) + sqrt(42)*2*-3 - sqrt(42) - sqrt(42))\/(sqrt(72)\/(sqrt(36)\/sqrt(3))) + ((sqrt(210)*2)\/sqrt(5))\/(sqrt(24)\/(sqrt(4)*-2)))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of v**5\/210 + 5*v**4\/84 + 2*v**3\/7 - 30*v**2. Solve y(d) = 0 for d.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -11 + 2 + (2 - 2) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d = 5*d + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-10) + (-116)\/290\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (231\/55)\/(-7)*2\/66*-5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15991?\nAnswer: 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3*l - 88*l**2 - l - 98*l**2 - 99*l**2 + 3 + 265*l**2. Give u(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**2. Let h(v) = -3 - 4 + 8*v + 1 - 3. Let l(d) = -d + 1. Let x(a) = -2*h(a) - 18*l(a). Calculate q(x(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -0.3, 1\/5, -1, -5248024 in decreasing order.\nAnswer: 23, 1\/5, -0.3, -1, -5248024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(121))\/sqrt(11)*-2.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -873 divided by 886?\nAnswer: -873\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -8*z + 5. Let k(t) = -3*t + 7. Calculate 3*h(f) - 2*k(f).\nAnswer: -18*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.36 and 2839.\nAnswer: -1022.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - -0.2. Let c = 0.1 - d. Is 0.1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 768*x**2 + 9 - 765*x**2 + 3 + 12*x. Let v be 624\/(-91) - 2\/14. What is the units digit of o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -15*n**2 + 2*n - 42. What is y(0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112632?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -239 + 238.999997488. What is k rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 - t**4 + 0*t**2)*(-779 - 770 + 1727).\nAnswer: -178*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/19)*q**(-1)*q**(-3\/5)*(q*q**(-3)*q)\/q*(q**(-2))**(-17)*(q\/((q\/q**1*q*q)\/q))**42 assuming q is positive.\nAnswer: q**(2898\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.09 - -5.09. Put -2\/3, -4\/9, z, 4 in increasing order.\nAnswer: -2\/3, -4\/9, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2161 - 1?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 126*s + 79*s - 1845 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**2 + 4. Let h(p) = 3*p**2 + p - p. Calculate t(h(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 56697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 59 = -5*p, -3*b + b + 3*p = -29. Suppose c + 3*c = b. Suppose 2*h + c*k = 3*k + 22, -2*h = 5*k - 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(21\/14 + (-6)\/2). What is the tens digit of ((-13)\/(v - 3))\/(-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1596\/48 + 1\/(-4) + 5. Calculate the greatest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 36, -1, 7, 0.2 in decreasing order.\nAnswer: 36, 7, 0.2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 132194 divided by -314?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -5 - -24 - ((-96 - -93) + -5).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3 - 12407*g**2 - 38613355*g - 805418229.\nAnswer: -(g + 21)*(g + 6193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 60 + 42 = 0. Suppose 3*m + 3*c = 60, 4*c = -3*m - h + 89. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -x**4\/12 + 55*x. Let w(r) be the second derivative of -13*r**3\/3 + 3*r**2\/2 - 7*r. Calculate w(j(o)).\nAnswer: 26*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 4*m - 16. Let h = 21 + -21.1. What is the closest to h in -4, m, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 1. Let u(z) = 2*z**2 - z - 2. Let l(s) = 2*s + 1 + 2*s - 9*s + 4*s. Calculate y*u(p) - l(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131*k - 131*k + 14*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 892989 divided by -297663\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11001 - -1111110110010111?\nAnswer: 1111110101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55825 and 177625.\nAnswer: 1953875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*r - 2*r**2 - 6*r - 7*r to u*r + x + p*r**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17762605 and 125.\nAnswer: 444065125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 + 2282*u**2 - 36*u - 82152.\nAnswer: (u - 6)*(u + 6)*(u + 2282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -175 and 122.\nAnswer: -21350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 577087453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 12 = a. Suppose -y = 1 + 4. Let v = -2 - 1. Sort y, a, v in descending order.\nAnswer: a, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 165*x - 1252. Let z be q(8). Sort -18, 3, 1, z, 5 in decreasing order.\nAnswer: 5, z, 3, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/5 + 7\/(-35). Let b(m) = -m**2. Let q(f) be the third derivative of f**5\/30 - f**4\/24 - f**3\/2 + 2*f**2. Let y(z) = s*q(z) - b(z). Calculate y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 435, 866, 1311, 1776, 2267, 2790, 3351?\n\"Answer: x**3 + x**2 + 421*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -7*r + 2. Is g(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.497 + -1.497. Let c = 0 + 2. Suppose 1 = i + 2*j + c, 3*i + 3*j = 6. What is the nearest to b in -0.3, 4\/7, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55 + -58. Which is the closest to 1\/9?  (a) 0  (b) h  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n + 83. Let u(h) = -663*h. What is u(m(v))?\nAnswer: -663*v - 55029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19620 and 114540?\nAnswer: 37454580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {h: 1, t: 1, x: 1, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 7:01 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 29 = 4*b, 3*b - 27 = -33*l + 34*l for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggggigigg. Give prob of sequence iggi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 24*l**2 + 2*l - 2. Let u be k(2). Let n(i) = 4*i**2 + 9*i + 5. Let g be n(-3). What is the greatest common divisor of g and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8439597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21?  (a) -0.2  (b) 1\/5  (c) 1\/6  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (316 - 342) + 6 + 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (17 - (0 + 21 + -11))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1\/8, -6, -3 in decreasing order.\nAnswer: 1\/8, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -13*i + 1. Let d(c) = -13*c + 1. Calculate -3*d(h) + 4*l(h).\nAnswer: -13*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l - 20 = 13*l. Find the second derivative of 9*x**4 - 39*x + 14*x - 4*x**l wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from appppphphpallpappla. Give prob of sequence haa.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*t - 5*p, 2*p = -3*t - 2*p + 4. Let u be 50\/t - 1\/2. Suppose 0 = -2*j - 8, -3*a + 4*j + 36 = -16. Is u at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 54, -1\/9, -3, 2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130181 is divided by 64326?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from sssjsssjsjsjts.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/20*5\/(10\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 5*v**2 + 11*v - 3. Give b(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -253523234 to the nearest 100000.\nAnswer: -253500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times -0.1123?\nAnswer: 0.06738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 888293089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117661.\nAnswer: 97, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 778 divide 859690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - s**2 - s + 22. Determine m(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 137.501 + -199.364. Let y = -0.137 + a. Let d = y - -61.8965. Round d to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -147 + 65. Let v = 54 + b. Let j be (-2)\/11 - v\/154. Solve j = -5*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.727515811 rounded to 4 decimal places?\nAnswer: 2.7275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -221501.99 and -13.045.\nAnswer: -221515.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = 2*r + 3*r - 5*x, -4*x - 10 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 13*b + 3. Let s = -13 + 8. Let x(i) = -25*i - 5. Let q(g) = s*l(g) - 3*x(g). Let m(t) = t. Calculate m(q(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 370\/9, 26, 226 in ascending order.\nAnswer: 26, 370\/9, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*p + 3*p + p)*(1 - 3 + 0) - 3*p - 5*p + 5*p)*(-199590 - 200205 + 396132) in the form k*p + t and give k.\nAnswer: 25641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1106\/5 - 222. Put -2, s, 1, -0.2 in ascending order.\nAnswer: -2, s, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -33459136*x. Let f(q) = 6*q. What is w(f(g))?\nAnswer: -200754816*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.053?  (a) 2  (b) -4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-180))\/(102\/918).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 3*x = x + 10, q + 3*x + 7 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8039 - -12004. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 839, -9154 in descending order.\nAnswer: 839, 14, -9154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -494 = 3*g + 3370. Let j = -659 - g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -96  (b) 0.1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464719.\nAnswer: 541, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from djycqkqqjqqqqcy. What is prob of picking 1 d and 2 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -147 + -165?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/556347 and -11\/5167650?\nAnswer: 1307415450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2728 - 0.7728. Let g be (-4)\/(-22) + 76\/(-2112). Let d = g + 1\/48. Sort d, p, -3, -4 in descending order.\nAnswer: d, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nz when two letters picked without replacement from nxhzb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -c843 (base 13) in base 14?\nAnswer: -a199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17344647 to the power of 1\/2, to the nearest integer?\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6771622.\nAnswer: 2, 11, 13, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44 + 45. Let s be 55*30\/(-333) - -5. Do s and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/100 + 348\/(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*s = -19, -6 + 20 = 2*i + 2*s. Suppose d**3 - 2*d**2 - 6*d**4 + 16*d**2 + 3*d + 3*d**i + d = 0. What is d?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 28\/(-6) - 8\/6. Let w(q) = q**3 + 7*q**2 + 5*q + 2. Determine w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvbhehbv. Give prob of sequence bb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2205 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 114503664 (base 7) in base 11?\nAnswer: 403a719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/((-15)\/(-2))*3. Solve -4*k + 0*y + 10 = 2*y, -2*y = -r*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 4, 6496, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 3*c + 3 = 0, -13*w - 5*c = -14*w + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-210)\/7245*23)\/(-1*1\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -13.05. Let k = 4.05 - i. Let j be 1\/3*(-3)\/(-2). Which is the second biggest value?  (a) k  (b) j  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 - 80*g**2 - 714*g - 2156. Let j(w) = -w**3 + 2*w**2. Let r(y) = -4*j(y) - p(y). Suppose r(q) = 0. What is q?\nAnswer: -22, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*v**5 - 115334*v**4 + 2268965*v?\nAnswer: -40*v**3 - 1384008*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*d - 112 + 25, -4*d = -3*h + 74. What is the remainder when 71 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 197*v**3 - v**2 - 2*v - 8. Let j be c(4). Let q be j\/(-1360) + (6\/10 - 1). Let f = q + 893\/119. Find the common denominator of f and -69\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 15967787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from eejjje?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 13358, 13357, 13356?\n\"Answer: -h + 13359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10108078, 10108096, 10108114, 10108132, 10108150, 10108168?\nAnswer: 10108186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1350)\/(-525))\/(270\/(-5355)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o**2 - 25*o + 15. Let r be p(-11). Let k = -67 - r. Let l(s) = s**2 - 11*s + 6. Give l(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*q + 3*q = -22, 4*w + q - 17 = 0. Let o be (0 - 1) + 2\/6. Which is the closest to -1?  (a) w  (b) o  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2701 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 19 = 44 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54.3 - -51. Let j = -0.7 + m. Let u = j - -4. Which is the closest to -2\/7?  (a) -4  (b) -1\/2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1044 and 1269881?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dwtmwmwdmmrmxwxrwt. What is prob of picking 1 d, 1 x, and 1 r?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3)*(-18)\/4. Let x(t) = -t**2 + 4. Let s = 3 + -6. Let n be x(s). Sort 2, r, n in descending order.\nAnswer: r, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of o**6\/15 + o**4\/4 - 3*o**2\/2 + 8. Let l(b) be the second derivative of d(b). What is the second derivative of l(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14591, 14592, 14593?\nAnswer: 14594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -668*x + 3166*x + 201*x in the form n + m*x and give m.\nAnswer: 2699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-9 + 12 + -18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 188 divided by 8\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -15*t**2 - 22*t - 68. Let y be p(-9). Let c = y - -7607\/7. Factor 2\/7*u**2 + 0 + c*u**4 + 0*u - 9\/7*u**3 - 5\/7*u**5.\nAnswer: -u**2*(u - 1)**2*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 805*w**3 - 64*w**2 - 1621*w**3 - 61*w + 1080 + 812*w**3 - 71*w.\nAnswer: -4*(w - 3)*(w + 9)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 462*k = 463*k - 227. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*y + 400 - 463 = 0. Let t = -0.2 - -0.1. Let a = 0.6 + t. What is the third smallest value in a, y, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 - 6*m + 5. Let d = -347 + 206. Let y = d + 239. Calculate the remainder when y is divided by z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3 = -3*q, -4*q + 3*q + 11 = 2*o. Let c(d) = -d**3 + 6*d**2 + 2*d - 22. Give c(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 283207732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1649 and 6100.\nAnswer: 1005.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 84*r + 356. Let i be x(-4). Solve 0 = -108*y + 112*y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*a - 12*a - 53*a**4 + 3*a**3 + 35*a**4 + 3 - 78*a**4 - 5*a**4 to the form b*a + o*a**4 + k + i*a**2 + g*a**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 92, 1103, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.51?  (a) 4\/5  (b) -2  (c) -0.55  (d) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 + 9 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 121 - 48. Let t = 72 - c. Sort 0.1, -5\/3, 4, t in descending order.\nAnswer: 4, 0.1, t, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3.78, 0, 175, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/18 and -41\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/3*((-2330)\/(-25) - -2). Let w = 96 - r. What is the smallest value in 0.1, 4, 3, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 6. Let a(p) = p**2 + 1. Let v(n) = 6*a(n) + z(n). Let u(x) = 2*x. Calculate v(u(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/5)*g**(1\/9)*(g**1)**(-1\/21))**(-1\/4))**4 assuming g is positive.\nAnswer: g**(-83\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 10*p**2 + 343*p - 2614. Determine l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4040 divided by 808.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**3 - 347 + 218 + 129 + y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, -0.06, 5\/16?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 14*s - 3. Let g = 25 - 28. Let q(h) = 15*h - 2. Let d(v) = g*q(v) + 2*l(v). Let i(y) = y. What is i(d(n))?\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 194 and 7?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -7*f**3 + 5*f**2 + 7*f + 6. Suppose 3*t - 10 = 4*i - 8, i - 5*t = -9. Let r(s) = s**3 - s**2 - s - 1. Give i*b(w) + 6*r(w).\nAnswer: -w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xtxt when four letters picked without replacement from ttxtxxtxtttttt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8789849381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 32*i + 27*i + 28739 = 0, 0 = -2*s - 5*i + 57493. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*w = -5*v + 27, -4*v + 28 = -4*w. Let x be 4 + (w - -13) + 3. Is 4774\/x + (-2)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11364 = -4*y - 956. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-105) - ((-32)\/132)\/((-56)\/(-60)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -0.19. Let u = t + -0.09. Which is the closest to u?  (a) 0.3  (b) -4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 762192 and 27492.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/9 and (-30)\/(-1944) + 0 + (-3)\/(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 + 13*b + 0*b**3 + 20*b - 77*b + 25*b + 19*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(q**5 - q + q) + 48 - 15*q**5 - 48.\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 472 - 475. Which is the closest to -1\/4?  (a) -1\/12  (b) m  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31.16 - 31.09. Is -3.2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 9*a - a)*(-2*a + 21 + 26 - 49 - 4*a**2).\nAnswer: 40*a**3 + 20*a**2 + 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 380 - 360. Suppose 15*s - k*s + 30 = 0. Solve s*b = 2*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 13*w - 51 + 22, 2*b - 4 = -4*w. Let g(i) = -2*i + 5. Let z(r) = -r + 2. Let f(t) = -4*g(t) + 7*z(t). Determine f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-12) + (-595464)\/(-16) + -10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 37489248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26505 smaller than 26397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**18)\/r)\/(r*(r\/(r*r**(-23)*r))\/r) assuming r is positive.\nAnswer: r**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*o = -25. Suppose -3*i + 4*b = -141, 2*i - 2*b - o = 89. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -12 - 7*z**2 + 3*z**2 + 7*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.39 times 0.09\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*u - 40. Let i(l) = -l**2 + 12*l - 11. What is the remainder when 83 is divided by i(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/28*6576\/(-2466)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -79*z**2. Let c(m) = -87*m**2 + 49*m**2 + 42*m**2. What is x(c(y))?\nAnswer: -1264*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + u - 71 = -4*q, 4*q + 76 = -4*u. What are the prime factors of (-1 + -2 - u) + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**2 - 7*o - 44 = 0?\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 6*r + 46, 98*w = -3*r + 94*w - 10 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2312845 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/27 + (-34)\/(-9). Let c(z) be the third derivative of 1\/20*z**5 + 0*z - 1\/3*z**3 - 1\/120*z**6 - 8*z**2 + 0 + 1\/24*z**4. Determine c(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/5*(-169)\/(21970\/1950).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.01 + 0.29. Let t = 0.19 + -0.2. Let j = 0.09 - t. What is the second biggest value in j, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 993 + -698. Let a = t - 447. Let x be 1\/2*a\/(-14). Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 276356654 + 3?\nAnswer: 276356657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 327 a factor of 224132451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*m**4 - 9*m**4 + 4*m**4 + 27 - 27 + 4*m**4 + (-7*m - 87 + 87)*(2*m**3 + 2*m**3 - 6*m**3).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 136567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -49*d + 83.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of n**5\/12 + n**4\/12 - 7*n**3\/6 + 7*n**2. Is h(-5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6*k - 115. Let y be t(-19). Which is the nearest to 3?  (a) y  (b) -4\/7  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2893 (base 10) to base 6.\nAnswer: -21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341965?\nAnswer: 5, 311, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26493730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-21 + 24*i**3 + 21)*(5*i - 4*i + 0*i + (-3*i + 0*i + i)*(-1 + 1 - 1) + 2*i - 3 + 3) to the form c*i**4 + w*i**2 + f*i + x*i**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 5*g + 4. Give k(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 2615\nAnswer: -3\/2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11200 - -122020221?\nAnswer: 122102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/392 and 139\/13160.\nAnswer: 92120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1074 is divided by 350.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -2. What is the nearest to 0 in -0.1, v, 5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 1, j: 10, u: 2, t: 5, n: 2}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 46293828 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 11100100101010001?\nAnswer: 11100100101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3*r**2\/7 - 801030*r\/7 + 53470755075\/7 = 0?\nAnswer: 133505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 286211066 to the power of 1\/2, to the nearest integer?\nAnswer: 16918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -31*p**2 - 5. Let t = -68 - -71. Let o be (1 + 0 - t)*2\/4. Let y(g) = -g**2. Let u(h) = o*f(h) - 3*y(h). Differentiate u(l) wrt l.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + -9 + 1\/(-1). Let o = 7952 + -7953. Is o at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 18, 75, -6, -4 in increasing order.\nAnswer: -6, -4, 0, 18, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.34 - 0.339885. What is l rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) - ((sqrt(98) + -1 - sqrt(98) - sqrt(98)) + -1) - (sqrt(98) + 1*sqrt(98) + sqrt(98) + -3)) + 2)**2*-2.\nAnswer: -294 + 196*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -11*x**3 - 2*x**2 - 3*x. Let h(d) = 21*d**3 + 5*d**2 + 5*d. Let s(y) = -3*h(y) - 5*z(y). What is the third derivative of s(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 38 - 59)*(6995*c + 152*c**2 - 6995*c).\nAnswer: -16720*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**3 - 37*o**2 + 22*o - 7. Let i be p(18). Let n(a) = 5*a - 5. Let u be n(5). Suppose u = f + 7. What is the greatest common divisor of f and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (0 + 8 - (136 + -135)) - 38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2707427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 1232*f**2 - 32*f. Let s(y) = -y**2 + 2*y. Give q(h) + 16*s(h).\nAnswer: 1216*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 35.89215 weeks?\nAnswer: 251.24505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429 bigger than 21866\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5666 (base 9) in base 13?\nAnswer: -1ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 620669 is divided by 634?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 416516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 115 = -5*j, -2*j + 3*h + 48 = 2*h. Suppose j*f - 31*f + 42 = 0. Solve -2*b + f*b + 5 = 0, 9 = 3*c + 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 25 + 2 = 4*n, -i - 11 = 2*n. Let a be 3 - i\/(7\/(-10)). Let o = a + 10. Solve -o*l = 12 + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1794900 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 4*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jmnj when four letters picked without replacement from mjnmjmjmjnjijimiijj.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z = -62*z - 989 + 58 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25147731.24 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6006\/312 - (-315)\/(-60)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**3 + 23*i**2 + 53*i - 75 = 0.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95468?\nAnswer: 2, 29, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c6754 (base 14) in base 15?\nAnswer: 1513bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 215316593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -38 + 61*r - 49*r + 2*r**2 - 274 + 41 + 92*r wrt r?\nAnswer: 4*r + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*q + 534*q - 30360 = -143*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 695 and 695 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639 <= 1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**7\/189 - 4*g**6\/135 + g**5\/90 + 2*g**4\/27 - 21*g - 28. Let d(z) be the first derivative of j(z). Solve d(f) = 0 for f.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544 is divided by 143.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000062527 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2380 and 32480.\nAnswer: 552160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of -11*i**5\/5 + 3*i**2 - 10. Find the second derivative of u(t) wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 - 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**5 + 22338*s**4 - 179214*s**3 - 2370348*s**2 + 179211*s + 2348010 = 0.\nAnswer: -7454, -7, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -16\/113?\nAnswer: -16\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = g - 2*g. What is the smallest common multiple of g\/10 + 164\/20 and (-164)\/(-9) - (-2)\/(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 41, -30, -5 in decreasing order.\nAnswer: 41, 5, -2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.34 - -7.3034. Let j = k - 0.4634. Let i be 2\/2 - 10\/8. What is the third smallest value in j, i, 3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -9*y**4\/4 - 7*y**3\/3 + 3*y**2\/2 + 5*y + 3. Let u be p(-5). Round u to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 931 = 3*b - 932, 0 = -u - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011101101001 (base 2) in base 15?\nAnswer: 2ec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 = 1. Suppose 17 + 3 = x*c. Suppose -2*p = c*u + 14, -2*u + 4*p = -u - 6. Sort -4, -5, u.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 4872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 4257\/27394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 117*w**6 - 2*w**5 - 7*w**3 - 6984*w**2?\nAnswer: 14040*w**3 - 120*w**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 537 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2304779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**(14\/11)*m)*m\/m**(-49))**36)**(-16) assuming m is positive.\nAnswer: m**(-308736\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 87, 95, 111, 141, 191, 267, 375, 521?\n\"Answer: g**3 - 2*g**2 + 7*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99809949 is divided by 4022.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = -15*r - 3. Let y(z) = 2*z - 1. Let d(v) = -46*v + 84. Let s(t) = r*d(t) - 5*y(t). What is the derivative of s(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.11925, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3138*k*n*q**2 - 4*k*n - k*q + 63*k + q**2 - 2 wrt q.\nAnswer: 6276*k*n*q - k + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 4*r - 9. Let n(l) = 3*l**2 - 11*l - 26. Give -17*b(w) + 6*n(w).\nAnswer: w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 216497502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k = -58. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 9*s + 4*s - 14824. List the prime factors of s.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 3*c + 1. Suppose -b + 18 = -5*b + 2*z, 22 = -b + 4*z. Let t = 1 - b. What is the units digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1236522 and 23688?\nAnswer: 697398408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 9 = 21. Let q be 5439\/33 + 2\/11. Calculate the highest common factor of k and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 10*d = 175. Let l = d + 50. Solve 3*i = -5*m + 40, 0 = 3*m - 5*m + 5*i - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, c: 7, j: 1, z: 1, a: 1, i: 8}. What is prob of sequence cavc?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -6*z**2 - 6*z + 17. Let c = -65 + 70. Let b(r) = 5*r**2 + 6*r - 15. Let s(n) = c*b(n) + 4*j(n). What is s(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24204 - -112?\nAnswer: -24042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 1 = 5*q - 2*r, 2*q + 4*r - 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -323*z + 75. Let g be v(-25). What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 139 and 13.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 135*a**3*j**4 + 1437*a**3 + 10*a**2*j**2 - 2*a*j**4 - 4*a*j - 291*j**3 wrt j?\nAnswer: 3240*a**3*j - 48*a*j - 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q - 10 - 108 + 3*q - 10*q.\nAnswer: q - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 636585.02 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(7) + 1 + -1 + 4)*-4.\nAnswer: -20 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 406 and 2293088?\nAnswer: 2293088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*a - 9 + 20 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -417877, -417871, -417865, -417859?\n\"Answer: 6*g - 417883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/238 and 7\/3.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + 2*i + 1. Let v be k(-2). Let j = -13276 + 13280. Sort -3, -39, j, v in ascending order.\nAnswer: -39, -3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -5*c**3 + 7265*c**2 + 43730*c + 58360 = 0.\nAnswer: -4, -2, 1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6136)\/(-11) - 30\/(-165). Let a = r + -353. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -32*x**2. Let o(d) be the second derivative of -4*d**3\/3 + 147*d + 3. Give y(o(c)).\nAnswer: -2048*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*d - 2*d - 621. Calculate the greatest common divisor of d and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x - 12. Let k be o(-8). Suppose -2*v - 4 = -k*v. Calculate the highest common divisor of 6 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(68) - ((sqrt(68) - 2*sqrt(68) - sqrt(68)) + sqrt(68))) - (sqrt(68) + 2*sqrt(68))*2)\/((sqrt(324)\/(-1*sqrt(9)))\/sqrt(9)).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/3518615 and -58\/1620935.\nAnswer: 144263215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -427, -760, -1093, -1426, -1759, -2092?\n\"Answer: -333*f - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 366 = 3*k, 0*m + 511 = 3*m + 5*k. Let a = -122 + m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1695\/2 - 825. Calculate the common denominator of 67\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -20*z - 208. Which is smaller: z or -14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1734*n**2 - 4482 wrt n.\nAnswer: 3468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + x + 44. Let i = -6 - x. Suppose -5*z + 1151 = 1141. Solve 0 = z*l + j + 11, 23 = i*l + 5*j + 63 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8.753907 milligrams?\nAnswer: 8753907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -4 + 12 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5969 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tpjtpsttysttsssttss. What is prob of sequence sst?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-310)\/25)\/((-1)\/(-5)) - -2. Let v = 66 + c. Find the third derivative of -10*w**v + 5*w**2 - 5*w**6 + w**2 wrt w.\nAnswer: -1800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmssosmosm. Give prob of sequence mso.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753132802.\nAnswer: 2, 15473, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/4 + 158337*v + 633345\/4.\nAnswer: 3*(v + 1)*(v + 211115)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -928015 or -9280163\/10?\nAnswer: -928015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -322612686 * -0.5\nAnswer: 161306343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 2*s, -c + s - 208 = 5*c - 213 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20631 - -20634. Let m = 0.03 + 1.37. Let o = m - 1.47. Which is the closest to o?  (a) 3\/2  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**2 + v - 3. Determine s(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-1)*s)\/s)**(9\/2)\/((s*s*s**(2\/15))\/s*s)**(-42\/11))**(-2\/9) assuming s is positive.\nAnswer: s**(-896\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2581 < 585753\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of 2*m**2 + 2\/3*m**3 + 0*m - 2. What is the second derivative of j(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (3 + 1 + -2). Suppose 5*q - s - 14 = 0. Factor 0*x**2 + 0*x + 0 - 2\/7*x**4 + 2\/7*x**q.\nAnswer: -2*x**3*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 88*j + 83904 = 80712 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*(-24)\/32)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s + 10. What is f(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 0*n**2 + 0 + 28*n + 1\/6*n**3. Let y(a) be the second derivative of -7*a**4\/6 + 5*a. Give c(y(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 8*w - 9. Let d = 6 + -11. Let h be 3\/(d - -2)*-9. Let b be r(h). Is 2\/7 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02*895.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -r**4\/12 + 2*r**3\/3 + 9*r**2\/2 - 5*r. Let i be j(5). Calculate the highest common factor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/18*12\/(1 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 6 - 12 + 20*c**3 - 8*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2743381 is divided by 5531.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 876?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -4*v**2\/5 + 4206136*v\/5 + 5047392 = 0.\nAnswer: -6, 1051540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l + 4*k + 24 = 2*l, -l - k - 4 = 0. Suppose -27 = -2*y - y. What is the remainder when y is divided by -1 + -2*20\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3608 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-47 - (-3)\/1). Let g be ((-20)\/6)\/(6\/k). Suppose 0 = 2*a - g - 23. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 r when three letters picked without replacement from srllkaa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6070820 and -0.234?\nAnswer: 6070820.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*5\/(-45) + (-164)\/(-9). Find the common denominator of -2 + (-797)\/i + 2\/(-9) and -41\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 120023120 - 42?\nAnswer: 120023045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 84 = 2*m + m, -2*m - i + 56 = 0. Suppose h - 3*x = -3*h + m, -5*h + 2*x = -28. Solve 0 = -2*r + h*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*v**3 - 1\/5*v**2 + 2\/5*v + 1\/5*v**4 + 0.\nAnswer: v*(v - 2)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*d - 20*d = 487 - 277 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 41307660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18074884 is divided by 1945?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -55.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 103 = -743. List the prime factors of b.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -297.658 - -298. Let x = g - 0.258. Round x to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + r - 3394 = 0, -6280 + 626 = -5*w + r. List the prime factors of w.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -456 - -459. Let d = 11 - 8. Is d less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 + 2*a**2 + a**2)*(0*a - 2*a + 3*a + a + a - 3*a - a - 2*a + 2*a + (2 + 3 - 4)*(a - 5*a + 3*a)) - 3*a**3 + 3*a**3 + 2*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -37*m**2 + 9*m. Let r(x) = 12*x**2 - 3*x. Calculate -2*p(y) - 7*r(y).\nAnswer: -10*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(72\/(-324))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from lgggggll.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/132 and (-140)\/210 - 1\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*g**2 - 2*g + 16*g**2 + 22*g**2 + g - 1 + 17*g**2 - 2*g**4 as o + q*g + z*g**2 + h*g**4 + v*g**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 28288 divided by -2\nAnswer: -14144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}