diff --git "a/data/dm_maths/full_data_2/10614_11255.jsonl" "b/data/dm_maths/full_data_2/10614_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10614_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -t**2\/6 - 325*t - 36600.\nAnswer: -(t + 120)*(t + 1830)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**3\/3 - 45*w**2\/2 + 33. Let n(m) be the third derivative of -m**4\/24 - 59*m**2. Give c(n(r)).\nAnswer: 2*r**2 + 45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = r - 391, -2*o + 6*r = r - 223. Suppose 0 = -22*j + 41*j - 171. Calculate the greatest common divisor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-9 - (1 + 2)) + -27 + 25).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65948941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06871642 rounded to five dps?\nAnswer: 0.06872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-1)\/((-4)\/2))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 8. What is the second biggest value in -1, j, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**6\/10 - i**4\/12 - i + 1. Let p(h) be the first derivative of d(h). What is the third derivative of p(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = -3, 5*h - 4*z - 24 = 0. Let t(v) = 6*v - 21. Let b(n) = n - 4. Determine h*t(i) - 21*b(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3667 * -123\nAnswer: -451041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((301 - 308) + (-3 - -67)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -651, -2222, -5289, -10350, -17903, -28446?\n\"Answer: -83*n**3 - n**2 + 11*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 254073*a**3 - 10667538*a**2 - 149329068*a - 696830568 = 0.\nAnswer: -84649, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**3 - 4*o**2 - 6*o - 5. Let v(l) = -l**3 - l - 1. Let g(d) = -f(d) + 6*v(d). What are the prime factors of g(4)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 3*w. Let b be l(-3). Suppose -m - 2*m = -b. Calculate the remainder when 52 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**3 - m**2 + m - 1. Let y be h(1). Suppose -20 = p - 2*p. Let k = y + p. Solve 4*d + 2*s - 15 = -d, -5*s = -d - k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 19 = -m, -4*m + 14 = q - 2*q. Let o = 12 + q. Solve -2*w - 14 = -2*z, 3*z = o*w - 7*w - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86*721663.\nAnswer: -62063018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = 4*x + 62*x - 1760. Let w be 1 - -20 - (-2 + 3). Calculate the highest common factor of x and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/217048348 and 44\/4036023.\nAnswer: 1953435132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.2 and 123335 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 9) in base 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/24 and (60\/(-225))\/(22\/85)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100579763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1865\/7 (b) 0.3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3315 - 1513. What are the prime factors of w?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003138912 to 5 decimal places.\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6868*n - 2738. What is the units digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(((x\/x**(-33))\/x)\/x))\/x)**(-1\/15)*x*x\/(x*x*x**(-29))*x**(-4\/7) assuming x is positive.\nAnswer: x**(3202\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/9 - 170*z - 1528\/9 = 0.\nAnswer: -764, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 - -121) + 1 + -2 + -2 - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - (-99)\/27. Suppose -3*h + 15 = -0. Solve 3*i = n*y - 3, -h*i = -0*i + 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/1135 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/(-2240))\/(2\/20). Which is the third smallest value? (a) 0.1 (b) -1 (c) 1 (d) 0.13 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*k + 384 - 6157 = 127*k + 4418 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3 + (-34*1\/(-2) - -1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 11) to base 12.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657456?\nAnswer: 2, 3, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 310560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -919, -4 in decreasing order.\nAnswer: 4, -4, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 0.7. Let v = -0.9 - -4.9. What is the closest to 0 in -5, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134270 is divided by 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2325 - -2373. Which is smaller: 36 or v?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83332069.\nAnswer: 83332069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6921*x**2 + 3463*x**2 + 3455*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*r**4 + 18*i*r**2 + 687*i*r - 606*r**2 + 12*r wrt r.\nAnswer: -24*i*r**2 + 36*i - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110001111000 (base 2) to base 12.\nAnswer: 11848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-975)*20*(-6)\/48?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 4331 (c) -233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (70\/((-3150)\/(-81)))\/((-21)\/(-805))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25*y**(-2\/29)*y*y**(4\/3)*(y\/((y\/y**12)\/y)*y)\/y*y assuming y is positive.\nAnswer: y**(3590\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7666 - -7.\nAnswer: -7659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -385. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -1122 + 135. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*59\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1621, -0.238, 12\/11?\nAnswer: 2\/1621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 4 - 4 - 533*m**2 + 20*m**3 + 533*m**2 + (2*m + 0*m - 3*m)*(2*m**2 + 0 + 0).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180)\/50 + 4 + -1 + 2769890\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + w**2)*(0*w**2 + 3*w**2 - 4*w**2) + 3 - 2*w**4 - 3 + 4*w**4 - 3*w**4 + w**4 + 2*w**3 - 2*w + 4 + 625*w**4 - 1366925*w**2 + 1366925*w**2.\nAnswer: 624*w**4 + 2*w**3 - 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8 - -758993431941.\nAnswer: 758993431935.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let w(p) be the first derivative of -p**6\/60 + 3*p**3 + 23. Let q(b) be the third derivative of w(b). Determine i(q(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3707823 and 4237512?\nAnswer: 29662584","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 34*p**2 - 182*p + 294.\nAnswer: -2*(p - 7)**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.57 to one decimal place.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((-4)\/2)\/(-6*2\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139862, -279703, -419544, -559385?\n\"Answer: -139841*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2001*k**2 - k. Let v be w(1). Let g be 1660*v\/4*-2. Round g to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 987\/8, -1039, 0.4?\nAnswer: 987\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 18*a**3 + 7*a**3 + (2 - a**2 - 2)*(0 + 2*a + 0) + 684 + 37*a**3 - 684.\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 + 16176*l**3 - 16272712*l**2 - 164527536*l + 180784076 = 0 for l.\nAnswer: -11, 1, 2027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16 = -5*x - 2, -3*i = 4*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 720273797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.093 - -0.094825. Round v to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*r - 1604 = 0, 10*r + 1031 = 2*y + 5*r. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 6*c - 1. Let f be a(-5). Solve 4*l + l = 5*x + 35, 4 = -2*l - f*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 1384*b - 156334. Calculate v(105).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12659 + 19152. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 683639.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59994.\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 <= 9624\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.086 + 58.914. Let j = 2 - o. Let n = -57 - j. Which is smaller: -5\/6 or n?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.1. Which is the nearest to -1? (a) 0.4 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let b be r(-3). Let s be 17*b*2\/(-4). Suppose -3*w - 5*x + s = 0, -4*w = -4*x - 38 - 62. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3386 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 17*g + 42. Let w be x(19). Suppose -114 + 126 = w*o. Solve o*m + 0*m = 3, 0 = -4*q - m + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6) + (-2)\/4. Let k be 637\/221 - (-12)\/102. Let o(b) = -k*b**2 + b**3 + 4*b**2 - 2*b**r - 24 - b + 0*b**2. What is o(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4813, -5\/11, -167 in decreasing order.\nAnswer: 4813, 3, -5\/11, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 7:03 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158.6 - 160.6. Which is the nearest to 1\/3? (a) -3 (b) o (c) 0.4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121121 (base 3) to base 2.\nAnswer: 11101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 391782, 391759, 391722, 391671, 391606, 391527, 391434?\n\"Answer: -7*c**2 - 2*c + 391791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-819)\/147 - (3 + -7). What is c in 0 + 0*c - 2\/7*c**4 - 2\/21*c**5 + r*c**2 + 2\/21*c**3 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4405278 to the power of 1\/2, to the nearest integer?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 - 61*z**3 - 37*z**3 - 30*z**3 + 167*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20205 - -20572. Suppose -3*q = -33 - 78. Calculate the remainder when s is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r**3 + 256*r**3 - 158*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57468396361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166605\/2298 + (-465)\/(-30).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/5 + 136*n**3\/5 - 1818*n**2\/5 - 18796*n\/5 + 43808\/5 = 0.\nAnswer: -8, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/((-6825)\/252)*25\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -16*a**2 + 2. Let v(x) = 48011 - 48011 + x. Give r(v(m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -61. Suppose c + l*c = 31003. Suppose h = -h - 3*z + 12391, -5*h + z = -c. What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19.5? (a) -3\/5 (b) 0.9 (c) 8 (d) -3\/350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 36, 35, 12, -45, -148?\n\"Answer: -2*p**3 + 7*p**2 + 2*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Suppose -3*s = -67 - 197. Suppose s = 34*i - 12*i. Calculate the remainder when 35 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 0.13988.\nAnswer: -1.86012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1008) + sqrt(1008)*2)**2 + -3.\nAnswer: 9070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(6 + 50\/(-8)). What is the common denominator of ((-460)\/112 - v)*119\/(-2) and (-1274)\/60 - 2\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529747.\nAnswer: 3, 11, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24596383.8 + -15219.\nAnswer: 24581164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 3:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -425152 divided by -7592\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 22. Let o be m(5). Let q(h) = 7*h + 10. Let b be q(o). Let d(t) = -9*t - 2. Is d(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39614 divided by -39614\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176052 - -5410?\nAnswer: 181462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118803932 or 0.4?\nAnswer: 118803932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - g - 23 = 0, 70 - 197 + 36 = 5*s - 3*g for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -5)*(0 + 1)\/(-1). Solve u = -4*y + 12, 6*d - d + 2*y + 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 112. Let d(r) = -3*r - 2. Let u be d(-11). Solve 4*k - 3*t = -u, 3*k + 17 = w*k + 5*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - k + 20 - 21 + 0*k - k**3. Suppose -4*z + z = 0. Let l be z + 0 + 0 - 2. Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -10. Let y = q - 2. Solve y*r - 4 = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.5 (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 3\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2012\/19 - (-2)\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (87 + 30 + -20)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6 + 3*a**2 + 2*a + 0*a**2 + 0 - 2*a**2. Let g be b(-5). Solve l + 2*l + g = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19178120 divided by -40.\nAnswer: -479453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/48048*-28 + (-9)\/264*-2348?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -31*w**4\/12 + w**3\/6 - w**2\/2 + 9093*w. Determine b(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 53. Let g = -148.4 + m. Let w = g + 19.1. What is w rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**2. Let a(i) = 26*i + 2. Calculate a(r(x)).\nAnswer: 234*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uce when three letters picked without replacement from peeeeceueerwpee?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45256321 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 787357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l. Suppose l*s = -4*s. Factor -2\/5*r**4 + 0*r**2 + 0*r**3 + 0*r + s + 2\/5*r**5.\nAnswer: 2*r**4*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23961015 - 5*d - 23961015.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 12. Let m be i(-6). What is the highest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*t + 4 + 50*t + 1065*t**3 + 87*t to s*t + a*t**2 + k*t**3 + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**3 - 20*g**2 + 16*g + 12. Let z(y) = 4*y**3 - 10*y**2 + 8*y + 6. Let l(a) = 3*i(a) - 5*z(a). Let o be l(8). What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-3 + sqrt(75))*-5 - -2*(3 + sqrt(75) + sqrt(75)))**2.\nAnswer: -900*sqrt(3) + 7581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 4 + 1 - 16. Calculate the remainder when 13 is divided by f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 0*x**3 + 0*x - 2 + 1\/4*x**4 + 2*x**2. Find the second derivative of c(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -926*d**3*l*z + 37*d**3*l - 1112*d**3 - d**2*l*z - d**2*z + d*l*z - 13*d*l + 130*l*z + l + 4*z wrt d?\nAnswer: -5556*l*z + 222*l - 6672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 18*n**2 + 18*n + 21. Let r be b(-17). Suppose -2*w + 4*w + 2 = 0, 0 = 4*q - 2*w - 662. Suppose -r*h + q = h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 = -y - 4, 4*r - 7 = -5*y. Differentiate 4*b**2 - 2*b**2 - y - 5*b**2 with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3500 + y**3 + 1728*y**2 + 6987 - 3485 + y in the form c*y**3 + a*y + n*y**2 + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-10))\/(9\/48*76\/114)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/27)\/(-1)*-12*-6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -4\/9, -2, 1\/2, 47\/52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264 - 792 + 36274*g + 265 + 263 to the form x*g + w and give x.\nAnswer: 36274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -49. Suppose k = m + l - 8, 4*m = l + 2*l + 4. Suppose 5*d = 4*d - 7*d. Solve -f - 5*v + 18 = d, 26 = m*f + 5*v - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 2\/15 (b) 19591 (c) -316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/5 + 3*x**3\/5 - 2*x**2\/5 = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 420*r**2 + 1582227*r + 960483 = 0. Calculate r.\nAnswer: -18833\/5, -17\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 - -646. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 45, 3*u + 29424*s - 33 = 29422*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (91\/(-52))\/(11*3\/(-12)*-6). Which is the nearest to -0.1? (a) -3\/5 (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21655 = -66528*v + 66833*v for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -12d3?\nAnswer: -12d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19158 or -18629?\nAnswer: -18629","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1045 + 1037. Is -210\/23 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -7 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2\/3 - 88474580*i\/3 - 88474585\/3 = 0. What is i?\nAnswer: -1, 17694917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -28. Let u = -23.022 - -0.022. Let t = u - q. What is the closest to t in -0.3, 1\/5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 + 286. Let z(q) = 8*q - p*q - q - 1 - 4*q + 4*q. Let u be 4*((-3)\/4 - 0). Determine z(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 0, -10 = q - 2*q + z - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 7) + 4 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 12) + 33 + -29\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (160\/128)\/(1\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 - 505277?\nAnswer: -505502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2921*a = -2916*a + 4*x + 10, 4*a + 8 = -3*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 9*t - 392. Let j be 11 - (-2 + 4 + 0). Let x be (-6)\/(-54) + 125\/j. What is the greatest common divisor of x and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one halves of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234 - 237)*1\/(-45)*-1.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:20 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2320091640 and -0.451.\nAnswer: -2320091640.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6223.09978 rounded to 0 decimal places?\nAnswer: -6223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -137040.\nAnswer: -137039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + c = -2*c + 37, -3*x - 3*c = -57. Suppose 0 = -0*i + 4*i - x. Calculate the remainder when 16 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -7.79?\nAnswer: -11.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31364 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1020 + 1079 - (0 + -44).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 28. Let j(m) = m**3 + 5*m**2 + m + 1. Let r be j(s). Let d = -1 + -4. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 - 2)*(-4*q**2 + 4 - 4)*(-4 - 8 + q + 11) to j + s*q**3 + v*q**2 + a*q and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 418, 979, 1790, 2863, 4210, 5843?\nAnswer: 7774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*w**3 - 267*w**3 + 160*w**3.\nAnswer: 111*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*c + 3*u + 2*u, 5 = 5*u. Let q be (-189)\/(-18)*(-15)\/c*2. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 10*y**2 - 15*y + 30. Determine i(9).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -667.\nAnswer: -4\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/3 - f**3\/3 - f**2\/2 + 6*f. Let a(b) = 9*b**2 + 4*b + 3. Determine -3*a(x) - 7*k(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/10)\/(o*o\/(o**(-6\/7)\/o)))\/(o**(1\/2)\/o**(-2\/19)))**(-49) assuming o is positive.\nAnswer: o**(19376\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.941 - 93.1. Let m = 4 - v. Let l = 0.15899907 - m. What is l rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k - 2. Let r be (-6)\/2 - (2 - 0). Let b be h(r). Suppose 1782 = -653*y + 734*y. What is the highest common divisor of y and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Suppose o*s - 6*s = -12. Let y(l) = 17*l + 43. Is y(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9886082?\nAnswer: 2, 101, 109, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7276655 at most -7276761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043421.\nAnswer: 3, 449269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - 12 - (377 - 377).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 1, z: 2, g: 1, k: 1}. Give prob of picking 1 k and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470\/1995*(-10)\/(-4)*1\/((-5)\/2)?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5176564 less than or equal to -5176563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72495 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2358 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -43) + 3 + (-22 - (-52 + 16) - 6)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3770 divided by 13.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110949004 divided by 4\nAnswer: -27737251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/28)\/(2\/8). Suppose 8 = 5*m + 3*b, 4*m = -i*b + 5*b. Suppose 16 = -4*a - 0*a, -m*t + 1804 = 3*a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-2\/29)*q)*(q\/(q*(q**(-6\/13)\/q*q)\/q*q))\/q*q\/(q\/(q**(-14)*q))*q*q**(-7)*q)**(14\/5) assuming q is positive.\nAnswer: q**(-92204\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 24 - (174 + -563 + 337).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43711954*a**5 + 2*a**3*t**2 + 9*a**2*t - 6*a*t**2 + 3*a*t - 23*t**2 + 44*t wrt a?\nAnswer: 2622717240*a**2 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011 + -1010111?\nAnswer: -100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-1)\/(4\/(-8)). Let j be w\/((-4)\/(-1) - 2). Let z(s) = 4*s + 1. Let t be z(j). Put 0, t, 3 in decreasing order.\nAnswer: t, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) + (-20)\/(-28). Suppose v + s - 4 = 5*d, 3*v + 5*d = 9. Solve -v*f + 7*f = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 3*i - 5. Let x be p(6). Let y = -8 - -10. Suppose -3*a - y*a + x = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-17 + 8)) + 1 + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013817419347 rounded to seven dps?\nAnswer: -0.0001382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 5*n - 25 = 4*f, 2*n = 16*f + 6*f - 16*f + n - 63 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617403?\nAnswer: 3, 131, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/(a*a**(1\/4)*a))**(-22)\/((a**(-1\/4))**44*(a**(-1))**(13\/8)) assuming a is positive.\nAnswer: a**(321\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 3. Let j(y) = -y**2 - 7*y - 8. Let f be j(-6). Let p(a) be the first derivative of 2*a**3\/3 - 2*a - 1. Give f*s(r) - 3*p(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 22*y - 15. Suppose -3*j + y*l - 1 = 3*l, -4*j + 5*l = 6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 89*b**2\/2 + 14*b + 2. Let s be t(14). Round s to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 25*c - 16. Give y(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2332 - 30330?\nAnswer: -21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 234*m - 231. Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(8) + sqrt(63))\/(sqrt(54)\/(sqrt(6)*-2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26190*m + 26190*m - 2*m**2 + 3042*m**3 + 3*m**2.\nAnswer: 3042*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.6652s to minutes.\nAnswer: 3.64442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 7*w**2 + 4*w - 20. Let k be d(7). What is the derivative of 14 - 6 + 7*l**2 - k - 3*l - 5 wrt l?\nAnswer: 14*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1281*j**4*m*o - 5*j**3*m*o**3 + j*m*o + 162*o**3 - 13 wrt j.\nAnswer: -15372*j**2*m*o - 30*j*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)\/(s*s**(6\/25)) assuming s is positive.\nAnswer: s**(-506\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14020762 and 936782?\nAnswer: 1696512202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14*110\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (sqrt(1700) - ((sqrt(1700)*1 - sqrt(1700)) + 0)).\nAnswer: -6 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78.9 and -1.\nAnswer: -78.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -9.6. Suppose -5*b - 25 = 110. Let r be (3\/b)\/(-1)*2. Sort r, -3\/8, z in increasing order.\nAnswer: -3\/8, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 5. Let x(n) = -6*n + 4. Let y(l) = l. Let g(m) = x(m) + 2*y(m). Let w(b) = -b**3 + 5*b**2 + 6*b + 3. Let k be w(6). Determine k*g(i) + 2*f(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138713293, -277426583, -416139873, -554853163, -693566453, -832279743?\nAnswer: -970993033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 7*r + 7. Calculate the lowest common multiple of a(-5) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*-1 - (sqrt(88) + (sqrt(88) - (5*(sqrt(88) + 1*sqrt(88)) + sqrt(88))) - sqrt(88)))\/(-2*sqrt(800)*1).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1105 - 1105.00001179. Round b to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(1700)*1)**2*3 - ((sqrt(1700) - 4*(sqrt(1700) + -5)) + 1)) + -5.\nAnswer: 30*sqrt(17) + 15276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n - 2*n)*(-11 - 3 - 2).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1\/2 (c) -104803 (d) 2\/11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 22*s**2 + 54*s - 10. Is g(-18) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 35 = 11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b - 4. Let a be r(-4). Let f = 16 + a. What is the common denominator of -9\/7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0\/c**(-2\/3)*c*c\/(c*c\/(c*c**(-6)))*c*c**(-7)\/c assuming c is positive.\nAnswer: c**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1872)*1 - sqrt(13))**2 - -1*(0 + sqrt(13))) + 1*sqrt(325) + -2 + -2.\nAnswer: 6*sqrt(13) + 1567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 5. What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 10*u**2 + u - 64. What is m(12)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 3*z - 5, 4*i + 4*z - 9 = -5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60787.2825 minutes to weeks.\nAnswer: 6.030484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1001012021110101?\nAnswer: 1001012021110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32628779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e91 - 1cb1?\nAnswer: -3c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose -r*h + 18 = 4*h. Find the second derivative of 16*c**2 + 0*c**2 + 5*c + h*c wrt c.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, x: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/140)\/((-1)\/4). Suppose p + 2*r = 7*r, 0 = -3*p + r. Suppose p*d - 8 = 2*d - 5*h, h = 4*d + 16. What is the second biggest value in -3, c, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7664306 divided by 294781?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06065578 and 15450.2.\nAnswer: 15450.26065578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -2. Let i = 5 - -17. Let n = y + i. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 8, u: 4, p: 1}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Suppose 6*v + 3 = 7*v. Let t(k) be the third derivative of 0*k**v - 1\/20*k**5 - 2*k**2 + 0*k**4 + 0 + 0*k. Determine t(s(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3\/4 (b) -1\/4 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3))**(-43)\/(a**(2\/3)*a**(-2)*a)*((a\/(a\/(a\/(a*a**(-2\/3)))))**(-2\/11))**(-6\/7) assuming a is positive.\nAnswer: a**(-6521\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 2. Let r(q) = 2*q**2 + 15*q - 14. What is 4*n(g) + r(g)?\nAnswer: 2*g**2 + 11*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4236*l + 4263*l + 162 = 0. Let s(y) = 49*y + 6. Let z(i) = 48*i + 5. Determine l*z(a) + 5*s(a).\nAnswer: -43*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2110174*b**3 - 181*b**2 - 3421 wrt b.\nAnswer: 12661044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -490 in decreasing order.\nAnswer: 5, -4, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j + 20. Let n = j + 7. Let x = 15 - 8. Let d(k) = 2*k**2 - 3*k - 3. Let h(s) = 4*s**2 - 7*s - 7. Determine n*h(o) + x*d(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3487797*z**3 - 2*z**2 - 2*z - 15177 wrt z.\nAnswer: 20926782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 872, 213, -1, 1, 38 in ascending order.\nAnswer: -1, 1, 38, 213, 872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487985.\nAnswer: 5, 17, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/((-1324)\/993 + (-154)\/(-12) + -14 + 2).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -17*i + 39. What is the least common multiple of i and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 8 = -3*i, -73*q + 36 = -64*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + c**2 + 0*c**2)*(-6*c + 25*c - 2*c) + c**3 + c**3 + 0*c**3 in the form k*c**3 + z + w*c**2 + h*c and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1980 divided by -20\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1114 and 5776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h. Let o(y) = -102*y**2 - 12*y - 12. Let t(z) = 42*z**2 + 5*z + 5. Let g(d) = -5*o(d) - 12*t(d). Determine g(j(c)).\nAnswer: 1536*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2594*r**3 - 3176?\nAnswer: -7782*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38304 and 252567000?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8124, 8123, 8122, 8121, 8120, 8119?\n\"Answer: -c + 8125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4056 divided by -4\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 - -5 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -0*u. Suppose 20 = -5*a + 3*t, a + 2*a + 4*t = 17. Let j = a + 4. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) -1\/336 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*h**2 + 2*h - 16 - 8*h**4 + 0*h + 78 + 5*h**4 - 72 to the form s*h**4 + j*h**3 + c*h + n + y*h**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -228, -523, -938, -1473?\n\"Answer: -60*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.149 - 1.161. Let g = 1.69 - m. Sort -3, -0.09, g in decreasing order.\nAnswer: g, -0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*p + 89 = -0*m, 4*p + 28 = 2*m. Let z(q) = 3 + 2*q - q - q**2 - q**2 + 4*q**2. Calculate the remainder when z(5) is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 31*x - 28*x - 3*h, 2*h + 14 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32813 divided by -32813?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 8 (b) 0.5 (c) 1975993\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3e21c (base 16) to base 15\nAnswer: 50612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 7:53 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-38)\/6 - -6)\/((-2)\/12). Differentiate 12*h**2 + 58 - 26 + 93 - h**v wrt h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 77766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 32*u**2 + 331*u + 605. Is x(-133) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-60))\/(4\/18). Put k, -3, -5 in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 35.4.\nAnswer: -955.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1761, -3408, -4931, -6330?\n\"Answer: 62*r**2 - 1833*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(225)*-5))**2.\nAnswer: 11\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 144 (b) 0.267 (c) 2\/5 (d) 257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164514?\nAnswer: 2, 3, 7, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -0.16, 29 in descending order.\nAnswer: 29, 5, 0.2, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.367 + 10.337. Let u = 1 + -0.5. What is the third biggest value in -1\/3, a, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363907894.\nAnswer: 2, 7, 137, 189733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 104*q**2 + 7701*q - 68. What is m(50)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y - 156. What is c(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33252.3ng to micrograms.\nAnswer: 33.2523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from nieniccelnnncinccn?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/21 and -19\/1776210?\nAnswer: 12433470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/716*(-1)\/2. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkmege. What is prob of sequence eze?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 4 + 10910 + -3. What is the highest common factor of z and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 - 3*z**2 + 0*z**3 + 1\/60*z**5 + 0*z + 0*z**4. Let j(c) = 8*c**2 - c**2 - 3*c**2. What is i(j(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 2. Let k be d(-2). Solve -16 + k = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(45\/(-63)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4592.752339007 minus 1.1?\nAnswer: -4593.852339007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5, i: 7, p: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/12 + 1)*12. Let a = p - -2. List the prime factors of 2\/a - (-1252)\/26.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5005265?\nAnswer: 5, 19, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.6 - -11.75. What is v rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2207188.\nAnswer: 1\/551797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 609, -4\/9, -2, 0.7, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 817 + (3 - 3) + -3?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*m = -58, 5*w - 4*w + 5*m = 55. Let y = -21 + w. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20. Suppose -3*n + 3*k = y, 6*k - k - 36 = -4*n. Is n\/(-14) - 3135\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/107, -3, -1, -2, 2\/3, 3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15604 and 2303?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 12 - -7)\/((-2)\/4). Let l(d) = -8*d**3 + 3*d**2 - 3. Let j(f) = -f**2 + 1. Give p*l(s) - 6*j(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v**2 + 3*v - 4. Is z(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/21)\/r*r\/(r\/r**(-1\/4))*r\/(r*((r\/(r\/(r**(1\/5)*r)))\/r)\/r)*r**(-8) assuming r is positive.\nAnswer: r**(-3589\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900)*-1)**2 - (sqrt(1900) + 1)**2*4.\nAnswer: -80*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2018 + 3*b**2 + 2018.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38526.945401 + -228677.054569. Let w = -267192 - f. Let z = 12 - w. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 5*n + 0*n)*(-5 + 5 - 8)*(5517 - 5506 - 15*n - n) to a + b*n + x*n**2 and give b.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(11) - (4 + sqrt(2)*-1))**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46 + 47)\/(1 + 6\/(-8)). Let v = 33 - 30. Solve 0 = -g*m - v - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52.9 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Let n(o) = -63*o - 3 + 125*o - 59*o. What is -15*f(z) - 5*n(z)?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -71. Suppose -m*i - 1902 = -20*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1)\/(3\/(-4)). Suppose 5*d - 21 - w = 0. Suppose -2*c - d*o = -113, -4*c + 4*o = -0*o - 240. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9432640?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 99562 - 199142 + 5*g + 102539 as r + d*g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 41*t - 36*t = 8, -4*o - 8 = 4*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7502*m**4 - 20402 + 2*m**2 + 369*m**4 - 6*m**2 + 20765 wrt m?\nAnswer: -171192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*p = 125*p + 25429 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x. Let j(t) = x*t**2 - 5*t**2 + 5*t**2 + t**2 + 4*t. Let n be j(-5). Solve 2*d - 19 = 5*a + 3, -d + a + n = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40703 is divided by 1767.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 113, 120, 131?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179121782.\nAnswer: 2, 7, 31, 71, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -9, -0.9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1.5239?\nAnswer: -1.5239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*(-156)\/(-585) - 12\/(-20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 94200 = -3*t. What is t rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 5 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/36*5)\/(26\/(-39)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 8 - 1829846*l.\nAnswer: -1829846*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*b + 1326 + 13119. Let l = b - 278. Put 0, 2, l, -3 in decreasing order.\nAnswer: l, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 10*n + 2. Let f = -22 - -27. Let y be d(f). Is 27 a factor of (-180)\/y*78\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-4)\/60*-5. Solve -g + 2*g - 4 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, b: 1, s: 2, m: 1, n: 1}. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2070 (c) -3\/8762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52727 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: Calculate the remainder when 37480 is divided by 4616.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827408.\nAnswer: 2, 3, 11, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7548338 + 7548338 + 29757*x**3 + 16954*x**3.\nAnswer: 46711*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3)\/(-14))\/((-3)\/30)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 45 = 0, -7*a + 2*a - 4*k + 6 = 3*k - 5*k - 7*k - 59 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*h - 3, -4*g - 7*h + 5*h = 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -2*l. Let f(m) = -m - m**2 + 2*m**3 + 2*m**3 - 5*m**l + 0*m**3. Give f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by (-62)\/((-3)\/9*3).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minus -15?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**4 + l**3 + 26*l**2 - 16*l - 8. Let r(q) = -10*q**4 + 4*q**3 + 79*q**2 - 49*q - 24. Let h(y) = 11*d(y) - 4*r(y). Suppose h(g) = 0. What is g?\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -40*s**2 + 168*s + 8. Let a(x) = -13*x**2 + 42*x + 2. Give 9*a(k) - 2*n(k).\nAnswer: -37*k**2 + 42*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.146 + -0.784. Let c = 96.07 - z. Let p = 96.99993 - c. Round p to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768120765 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22417140 to the power of 1\/2, to the nearest integer?\nAnswer: 4735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o + 3. Let k be 1930\/(-3)*(-1 + o). What is k rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25416.0002 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/291 (b) 5490 (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 1.2. What is the third smallest value in k, -0.1, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 2219?\nAnswer: -39942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + (29 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**3 - 32*v**2 + 5. Let t(g) = 8*g**3 - 22*g**2 + 3. Let h(c) = -5*b(c) + 7*t(c). Let w be (-1*1)\/(((-65)\/30)\/(-13)). Determine h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - (-2 + (-14)\/4). Suppose k*i - 150 = 235. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Let y = 2 - 2. Suppose -4*d + 5*t + 182 = 0, -10 = -y*t - 5*t. Calculate the highest common divisor of b and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 15, -13505536*v + 13505532*v - 31 = -5*t for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3104751 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -25*o**2. Let u(d) = -10*d. Let j be 290\/14 + (-6)\/(-42)*2. Let v(k) = 3*k. Let n(x) = j*v(x) + 6*u(x). What is n(s(q))?\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12 - (-11 + 5) - -102.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let m(o) be the third derivative of -3*o**4\/8 - 4*o**2. Calculate g(m(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 36. Suppose -p = 2*z - 5. What is the second derivative of 2*q + 6*q**z - q - 4*q**2 + 4*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 14. Let z(s) = 7 - o - 2*s. Let r(h) = 3*h. Determine z(r(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 3:55 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z - 5. Let g(i) = -51*i - 36. What is -6*g(t) + 45*o(t)?\nAnswer: -9*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2210511550 - -5?\nAnswer: -2210511541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/3 - 241843*d**2\/3 - 14620437056*d\/3 + 190106555392\/3 = 0?\nAnswer: -120928, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 1. Let v(k) = 3*k + 9. Let f(r) = -3*l(r) + v(r). Let f(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {p: 1, e: 2, x: 3, c: 1, z: 1, j: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, w: 8, c: 2, m: 2}. What is prob of picking 1 b, 1 m, and 1 c?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**2*i**3 - 3*d**2*i**2 - 2*d*i**3 - 2*d*i**2 + 120*i**3 + 2*i + 70 wrt i.\nAnswer: -60*d**2 - 12*d + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453 + -229. Suppose -29*a + 2*j + 53 = -28*a, 4*a - f = 4*j. What is the remainder when 176 is divided by a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.074 and -5?\nAnswer: 15.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - -7 - (-1 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 4 + 1 - 6*a. Let f be c(-2). Is (-412)\/(-8) + f\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*j = 32876, 0 = -0*v + 2*v - 5*j - 13164. Is v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 61*f - 1592. Give d(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 + n + 10. Suppose 0 = 6*i + 23 + 121. Let m(q) = -q**2 - 1. Let h(k) = i*m(k) - 3*p(k). What is c in h(c) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/593 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 4*o**2 + 3*o + 1. Let x be c(-2). Let t = x + 5. Sort -1, 3, t in decreasing order.\nAnswer: 3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6584*i + 6835*i - 1 - 13)*(-2*i + 2*i + 4*i**2) as v*i**2 + z*i + j*i**3 + h and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344*m - 3 = -1347*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*j - r, -5*j + 5*r - 12 = 8. Let u(s) = -8*s + 18*s + 3 - 9*s. Let h be u(j). Which is the biggest value? (a) h (b) 2\/17 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*16\/(-8). Let c = 1 + l. Let q be c\/(-8) + (-30)\/8. Put 1, q, -5 in increasing order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1258 and 49173.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -6*b**3 + 2 + 3*b**2 - 35\/24*b**4 + 0*b. What are the prime factors of p(-8)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let v be t\/(3 + 4\/(-1)). Solve y = 2*u - v*u, -2*u = 5*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 3. Let w(l) = -2*l - 5*l - 2*l**2 + 2*l**2 + l**2 + 6. Let k be w(4). Calculate the least common multiple of 6 and q(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2454*l**2 - 2120*l.\nAnswer: 4908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72913, -72910, -72907, -72904, -72901, -72898?\n\"Answer: 3*u - 72916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*k + 2*k + 70, -4*c - 4*k = -88. Suppose -3*z + 5*d = 4, z - 6*z - c = 5*d. Is z\/5 - (-866)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 5 + 29 + -12 + -13 + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 11*b**2 + b + 6. Suppose -3*h = -448 - 473 + 954. What is u(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*(-1)\/8*6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = r, -4*o + 0*r = -5*r - 2. Let y(s) = -4*s + 3. Determine y(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**4\/48 + 5*w**3\/24 + w**2\/4 - 5*w. Factor z(l).\nAnswer: -(l - 1)*(7*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2573, 1, 3, 4 in descending order.\nAnswer: 4, 3, 1, -4, -2573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 543296*o**3 - 1086604*o**2 + 543304*o.\nAnswer: 4*o*(o - 1)**2*(o + 135826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/(3\/(-4)). Let h = -172.4 - -175. Let i = 3.6 - h. Which is the biggest value? (a) i (b) -7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*x + 350 = 515*x + 515*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-296)\/(-10) + -1 + 7\/5. Suppose -9*u + l = -6*u. What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197566 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 335490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 2768190*f - 638572989675.\nAnswer: -3*(f + 461365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1106 + 2.8894. What is the nearest to 1\/5 in -0.04, 0.6, 4, w?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198075, 394869, 591663?\nAnswer: 788457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {c: 4, h: 6, p: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 1. Let i(n) = -3*n**2 - 5*n - 12. Let l(r) = i(r) + 2*w(r). Let x be l(-5). Is -21\/5 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 45. Let v(m) = -m**3 - 2*m - 1. Let h be v(2). Let r be y(h). Suppose 2*l = r*l - 5. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 5 (c) 487 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 2*w + 1. Let y = 260 - 260. Suppose -4*d + y = 4*k + 4, -k + 7 = 5*d. What is p(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (184\/(-18) - -4). Let q = 31 + -63\/2. Let w = 251 + -248. Which is the nearest to q? (a) 0.5 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110676 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -1)*(2 - 0). Suppose 2*l - 1 = 3*b, 5*l - 16 - w = b. Let y(u) = u**3 - 5*u**2 + 6*u + 7. Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/13 - 7232904*x\/13 - 7232906\/13 = 0. What is x?\nAnswer: -1, 3616453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:36 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**2 - 6*l - 1. Let t(i) = -11*i**2 + 5*i. Calculate -3*p(m) - 4*t(m).\nAnswer: -m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/1)\/(2*1\/2). Suppose g = -3*g + 5*d - 17, 3*d - o = 2*g. Let i(z) = 3*z**2 - 2*z + 1. Determine i(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/6 - q. Let w(z) = 3*z**2. Let t = 16 - 11. Let v(x) = t*n(x) + 3*w(x). Let u(c) = -c**2. What is u(v(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 57*w + 32. Let m be i(-29). What is the nearest to 0 in m, -2.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-3)\/(9\/174). Suppose -22967 - 1453 - 3660 = -52*z. Calculate the greatest common factor of z and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(35)\/(sqrt(10)\/sqrt(2)) + 3)**2 + 5 + -2.\nAnswer: -2*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -404.323 + -1.677. Let t = b - -406.4. Let u = -2 + 4. What is the smallest value in t, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:27 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057768 is divided by 5626.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.3, 0.4, -4\/3, 4\/7?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 39 - 339 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*b**2 - 154*b**2 + 13*b**2.\nAnswer: -310*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - p**2 + 3*p**2 - p**2 + 0*p**2 + 11. What is the units digit of r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 134431*d\/3 - 44810.\nAnswer: -(d + 1)*(d + 134430)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -86. Let y = -1254 + 1321.9. Let i = a - y. Round i to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 22. Suppose 0 = -3*v + 3, -2*a - 5*v = -9. Suppose a*h = h + i. Calculate the highest common divisor of 44 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.884947 weeks to hours.\nAnswer: 148.671096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1812943483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -72760 divided by -36380\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -16. Let u be 3\/(-1) + 1*f. What is the third derivative of 22*a**4 - 5*a**2 - a**2 - 18*a**u + 3*a**2 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -13. Let v be (5\/10 + s)\/(1\/(-110)). What is the highest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 2*v - 56 = -152. What is the least common multiple of 1922 and v?\nAnswer: 7688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) -285 (c) 0.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:17 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 575.7 + -574.7. Which is the fourth biggest value? (a) x (b) 2\/7 (c) 3 (d) 5 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 8500?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000275413 to 7 dps.\nAnswer: -0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*j**2*z + j**2 + 14412*j + 565*z + 2 wrt z?\nAnswer: -25*j**2 + 565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, u: 3, k: 5, w: 1, n: 4, t: 2}. Give prob of sequence krw.\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 371243 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 95 = 25*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330920029 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 7) to base 10.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/1764*-21)\/((-17)\/12257)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -o - 2*c - 2*c, -3*o + 2*c = -7. Let i(k) be the first derivative of -k**3 - k**2\/2 - k + 1. Calculate i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -15. Suppose y*c = -4 - 8. Let k(g) = -g**2 - 3*g + 6. What is the units digit of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, 76, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/80991 and 9\/189986888?\nAnswer: 1709881992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/1056 - ((-920)\/220 + 4).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6 - 15. Let z(c) = c**3 + 1. Let k(h) = -12*h**3 + h**2 + h + 2. Let v(d) = w*z(d) - k(d). What is v(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64020 and 93.\nAnswer: 5953860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 32 = -3. Let u = m + -8. Let d be -6 + 8 + (-592)\/298. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/15)\/((-8)\/(-10)). Let n = 20.4 - 20. Let r = -10 - -10.3. Put n, r, i in ascending order.\nAnswer: i, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9490 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6967 times -3?\nAnswer: 20901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + 1 + -2. Let p = 286 + -285.29. Let r = p - 0.71. Put -4, r, b in increasing order.\nAnswer: -4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:33 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -4.7007.\nAnswer: 48.2993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {e: 1, f: 1, m: 1, r: 2, v: 1, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x = -62*x + 3. Let t be -9800*(1 + (-1)\/(x\/(-301))). What is t rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6216 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13 - 4 - 10. Let w(l) = -l**3 + 2*l + 2. What is -2*j(m) - w(m)?\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7123 is divided by 296?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1105737 - 53?\nAnswer: -1106012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -5, -4349, -0.29, -0.1, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 13*d = -32. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:06 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**5 - 5*j**4 + 3*j**3 + 7*j**2 - 2*j - 2. Let r(s) = -29*s**5 - 20*s**4 + 11*s**3 + 29*s**2 - 9*s - 9. Let a(l) = 2*r(l) - 9*t(l). Factor a(u).\nAnswer: 5*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/510 and -49\/765.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321744 + 321670.0035. Let y = -13 - 61. Let j = a - y. Round j to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 10211021?\nAnswer: 10212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67201838 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/120 + s**5\/15 - s**4\/24 - 2*s**2. Let c be (-2 - 0)\/(2\/4). Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 156, -354, -862, -1368?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + x - 23 = 0, 3*x = 4*r - 41. Calculate the least common multiple of 4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6.93, -13, -9, 0.3, 173 in ascending order.\nAnswer: -13, -9, 0.1, 0.3, 6.93, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18*m**2 - 7*m - 15. Let j(f) = -9*f**2 - 3*f - 7. Let z(s) = 7*j(s) - 3*w(s). Differentiate z(v) with respect to v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/(1 + -3). Let c be 2\/(1\/2 - s). Suppose -2*o**3 + 4*o - 4*o + 2*o**c = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*l*t - 10*a**3*t + a**2*l*t - 2*a**2*l - 122*a*l*t + a*t - l wrt a?\nAnswer: 6*a*l*t - 60*a*t + 2*l*t - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**2 - 6300*y - 12616 = 0.\nAnswer: -2, 1577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Let z be b - -1*9*-4. Let l = 53 + z. Solve 0 = -4*j + l - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42982*r**3 - 2*r**2 + 3*r + 2?\nAnswer: -257892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2228, 4423, 6616, 8807, 10996, 13183?\nAnswer: 15368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let r(w) be the first derivative of -8\/3*w**3 + 1 + 0*w + 0*w**2. Give r(z(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 1*(-3 + 3 + (sqrt(1053) + 0)**2).\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 3. Suppose -6 = -4*f + 3*f. What is the units digit of r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.03640076.\nAnswer: -0.33640076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.302 + -4.272. Which is smaller: -3.8 or i?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/6296020 and -111\/958090.\nAnswer: 44072140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -v. Let h = v + 0. Suppose 339 = 5*z + 4*x, h*z - 83 = -5*x + 39. List the prime factors of z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.7 + -18.8. Let g = -7.8 - x. Let s = -0.4 - -3.4. Which is the third biggest value? (a) g (b) 1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 4. Let h be i(-7). Let n be (h\/7)\/(6\/4). Let q = -0.17 + -0.23. Which is the second smallest value? (a) n (b) 1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*m**3 - 48*m**2 - 3*m**2 - 631*m**3 - m + 4*m**2 - 3*m**2 + 50*m**2.\nAnswer: -19*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8389039.\nAnswer: 8389039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 - 19740*r**4 + 885294*r**3 - 10261836*r**2 + 44572680*r - 63666000 = 0.\nAnswer: 3, 6, 30, 9825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 8251?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*q + 453 = 0, 2*x = x + 2*q - 465. Let m = 604 + x. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 + 147*v**3 + 150*v**2 = 0. Calculate v.\nAnswer: -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34669245, -34669226, -34669207, -34669188, -34669169?\n\"Answer: 19*p - 34669264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2029428 or -2029427?\nAnswer: -2029427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9164*g - 181510 = 4565*g - 1163197 - 34259 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = w, -3*m + 50 - 2 = 2*w. Let n = w + -23. Solve -i + n*l + 20 = 0, -3*i - 2*i = 3*l - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -19. Let a(c) = -5*c - 17. Let s be a(k). Let u(m) = -4*m + 5*m + s - 23. What is u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-63) - -3)\/((-21)\/49)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Let f = g - -5. Let l = f + -2. Put -4, -0.5, l in ascending order.\nAnswer: -4, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 24 = 4*u, -5*u = 5*k - k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99431.\nAnswer: 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(9)\/sqrt(48))*5)**2*-6 + 1 + 4.\nAnswer: -19385\/8 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/102 + 40*y**3\/51 - 39*y**2\/17 + y + 76. Factor b(r).\nAnswer: -2*(r - 39)*(r - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 512 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*q + 25671 = 0, 2*q + 25862 = 5*u + 215. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p + 1. Let w be m(2). Let b = 4 + -5. Let l be 2*b*(-12)\/8. Solve s + 3*h = -2*h - w, -20 = 4*s - l*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4070*f**3 - 7843*f**3 + 3662*f**3.\nAnswer: -111*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1 + sqrt(162) + 4)**2 + 4 - -1*(sqrt(162) + 0)*-6) + -2.\nAnswer: -54*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - -2 - (0 + -3). Let f be (-10431)\/90 + 1\/d. Let b = f - -115. Put b, -4, -0.3 in ascending order.\nAnswer: -4, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-231)*3 - 1017772\/7172.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 52788 = 4*o - 20862, 2*b + 4 = 0. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/36618 and 21\/1714943.\nAnswer: 10289658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 0 - 42*o**2 + 61*o**2 + 62*o**2 - 2*o.\nAnswer: 81*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10209\/329680 - -1\/5072. What is the nearest to g in 9, 0.17, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 25. What is the third smallest value in l, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 4. Let a(t) = -t - 1 + 3 - 5. Let h(v) = 6*a(v) + 7*j(v). What is the units digit of h(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(110\/20 + -4)*3\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:11 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 + 11*u**4\/2 + 41*u**3\/4 + 5*u**2.\nAnswer: u**2*(u + 1)**2*(u + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -0.104. Round r to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 91?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/1 + 5\/25. Let f(v) = -v + 4. Let w be f(3). Is w <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -9, -6, -3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 889*y**2 - y**3 - 5*y**3 + 869*y**2 - 1758*y**2.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s**2 + 3734*s - 6. Let v(a) = -74*a**2 + 11203*a - 17. What is -17*m(c) + 6*v(c)?\nAnswer: -2*c**2 + 3740*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.13590906146.\nAnswer: -2.13590906146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from ffttftftttfffftttf.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2 (c) -0.5 (d) 0.0215 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttvtttttt. What is prob of sequence vtt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by (3 + 2 + -3)\/10 + 21096\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340.8 - 340.800083. What is i rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b - 10 - 5*b + 1 - b**2 - 2. Let y be g(-14). Solve 3*r - 1 = -4*s, 4*r + y*s = -0*s + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 113 = 286. Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55265, -121168, -187071, -252974, -318877, -384780?\nAnswer: -450683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/10 and 11\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/16 (b) -16 (c) -6 (d) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 2420.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.21 - 36. Let z = 0.2139 - p. What is z rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98397707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -1\/30*v**5 + 0*v + 0*v**3 + 0*v**4 + 0 + 4*v**2. Let w(x) = 2*x. Give a(w(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + l - 21 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l - i = 0, 6 = -3*i. Let y = 317.7 - 318.2. Let s = -88 - -92. Which is the second smallest value? (a) l (b) 0.3 (c) s (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/7 + (-372)\/(-14). Suppose s - 2*s + f = 3*q, -5*q = -2*s - 34. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5471035 (base 9) to base 4\nAnswer: -23031302321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2209552 * -1.4\nAnswer: -3093372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 2, 3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + -1 - sqrt(468)) + -1 - sqrt(468))**2 + sqrt(468))*1.\nAnswer: 30*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62172570.\nAnswer: 2, 3, 5, 17, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394 is divided by 239.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34909826 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 6:32 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - t + t + (-2 + 2*t + 2)*(-28 + 5 - 30) + (2 - 2 - 2*t)*(5 + 1 - 4) as h + d*t and give d.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 6*n - 6. Let d be s(4). Let k be (-2 + 3)\/(d\/10). Solve -k*c - 11 = 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8777*4\nAnswer: -35108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:28 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 382.1 - -27.1\nAnswer: 409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*h + 6, -1 + 11 = -4*j + 2*h. Let t(b) = -5*b - 2. Let m = 42 + -45. Let o(q) = 4*q + 2. Calculate j*t(l) + m*o(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x + 3. Let o(r) be the second derivative of 0 + 5*r + 1\/6*r**3 + 3\/2*r**2. Let k be o(-8). Let c(b) = b + 1. Determine k*c(p) + f(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8478 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 6 - 3*d + 0*d**2 - 1\/3*d**3. Let t(c) = 9*c**2. Determine j(t(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20003 or -19999?\nAnswer: -19999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/3*g**2 + 1\/3*g**4 - 4\/3*g**3 + 20*g + 75 = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Calculate the highest common factor of y and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xboxqxobbbobobbbxbzb. What is prob of picking 1 b and 1 x?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 602 - 1. Let n(j) = j**3 - 13*j**2 - 12*j - 23. Let w be n(14). Suppose -w*a + 194 = -o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 41*x - 2. Let b(l) = 9901*l. Determine b(j(n)).\nAnswer: 405941*n - 19802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 1365459136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253a39 (base 15) to base 9.\nAnswer: 3318540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11324 + 13399. What is the remainder when v is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times 0.057?\nAnswer: -3.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d - 86?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 14, p: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 556 - 555.739. Let s = d - -0.009. Round s to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keee when four letters picked without replacement from zeellkeklr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 681.309795095.\nAnswer: 681.309795095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252*z + 691*z - 314*z)*(z - 1 + 1) in the form d + j*z + r*z**2 and give r.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + x = -5, -14 = 2*f - 5*x - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 8)*(1 + 2 - 1)*(0*j + 0*j - 2*j).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*v**3 - 448*v**2 + 75264*v + 0.\nAnswer: 2*v*(v - 336)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -46.\nAnswer: 119\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66948778.\nAnswer: 2, 13, 31, 83063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -1.3. Let u = 8186 + -8186.5031. Let v = s + u. Round v to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - (-2 - (3 + -2)*83) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g - 36. Let u(j) = 27*j + 72. Let q(s) = 11*l(s) + 6*u(s). Let h be q(4). Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 1056. Let s = t + -94. Let k = s - 177. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1495600 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4 + 102\/90)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63546865.\nAnswer: 5, 73, 174101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 - (-1)\/3. Suppose -18 = -3*w + v*o - 2, -o + 44 = 5*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:56 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m - 44. Let b be j(-17). Let x = 210 - b. Solve -x = 2*o - 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -11) + 1\/(1\/28). Calculate the highest common factor of i and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81219)\/(-125445)*(-19)\/(-5). Let o = b + -5\/16726. Find the common denominator of o and -51\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 != 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -22. Let f(y) = 4*y**2 - 2*y**3 - 2 - 3*y**3 + l - 2*y + 4*y**3. What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 45*b**2\/4 + 353*b\/2 - 5700.\nAnswer: -(b - 50)*(b - 19)*(b + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 10453635?\nAnswer: -10453610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 3*r**2 + 0*r**2)*(-3*r**2 + 3*r**2 - 4*r**2) - r + 3*r**4 + r.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -32185*c - 4666832. Determine m(-145).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305234879 rounded to the nearest one hundred thousand?\nAnswer: 305200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 3*z**2 - z + 5. Let u be -1 - ((-68)\/(-85))\/(2\/5). What is r(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5)\/g**(-2\/35))\/(g**(-1\/3))**26 assuming g is positive.\nAnswer: g**(832\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:03 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(2\/9))\/r*r)\/r*r**(-6))**(1\/63) assuming r is positive.\nAnswer: r**(-47\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 5*c. Let i be f(5). Suppose -2*d + 0*d + 14 = i. Let -d + 3*t**2 - t**2 + 5 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 54227 = -24*i - 5*s, 0 = 4*s + 8. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-14))\/(5\/(-35)). Does 10 divide (3\/o)\/(3\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*o = 5*o + 9, -2*b + 7 = 3*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-32) + -1)*-1. Let w be (-2)\/((-6 - -3) + 5). What is the closest to -2\/7 in c, 2\/19, w, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 4*r - 3. Let f = -62 + 57. Let w be m(f). Suppose 21 = i - 5*l, 5 - w = -l. Solve -4*p - 2 = -i, -2*n - 1 = -3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (-12)\/(-4 + 8))\/(-1). Suppose -3324 = -11*n + o*n. Is n <= 554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 8. Let t be x(4). Let o(y) = -2*y**2 - 4*y**2 - 2*y + y**3 + 8*y - 1. Let a be o(5). What is the greatest common factor of a and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - b**3 - 2*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, -65948, -3, -76.\nAnswer: -65948, -76, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111*m + 207*m**2 - 1111*m.\nAnswer: 207*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1326173816 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102156477 - -10.6256.\nAnswer: -102156466.3744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 26, 36, 30, -4, -78, -204, -394?\n\"Answer: -2*b**3 + 10*b**2 - 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k. Let l(d) = 44*d. Let z(h) = 15*b(h) - 3*l(h). Let o(r) = 37*r**2 + 2*r. Calculate z(o(q)).\nAnswer: 111*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43736, 43781, 43820, 43853?\nAnswer: 43880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 0 - 2*1. Let o(i) = i - 5. Let n be o(w). Let f be (-2)\/(-4) - (-27)\/n. Solve 0 = -5*a - 4*j + f - 38, -3 = a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 46.2. Let y = s - 3.8. Which is the nearest to 1\/2? (a) y (b) 0.5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 124\/(-5)*(19 + (-1730)\/20). What is the greatest common divisor of d and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ollpllljjoppbp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(15\/40) - -4. Sort -1, p, 2.\nAnswer: p, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by 116.\nAnswer: 56\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kks when three letters picked without replacement from ssksksskkksskskskkks?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = 2*v, -k + 5*v + 33 = k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k. Suppose 6 = n - 2*u, -2*u - 12 = 2*n - 0. Let w be ((-8)\/(-5) + -2)*n*5. What is the third smallest value in k, w, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:39 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-198)*2)\/((-4)\/(-6))*(-39393)\/4377?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) -3444 (c) 0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2269646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/20 + -67\/480. Let i(q) be the third derivative of -1\/80*q**5 - 1\/160*q**6 + 0 + 0*q + 8*q**2 - g*q**4 - 1\/840*q**7 + 0*q**3. Factor i(c).\nAnswer: -c*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001662601155 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*v = 414*v - 23057 - 12979 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f + 12*f - 33*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 98*u = 0. Let t(v) be the third derivative of 0 + 14*v**2 + u*v + 0*v**3 + 1\/48*v**4 - 1\/240*v**5. Factor t(h).\nAnswer: -h*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p - 5. Determine g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36608810 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 472 (c) -11\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.0996 centuries to decades.\nAnswer: 6000.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030.04 millennia to months.\nAnswer: 12360480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 189, -2, 5 in descending order.\nAnswer: 189, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1137 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 7 - 4 - 19 as t*b + o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 3*a - 3. Let p(f) = -7*f**3 - 5*f - 5. Let i be -4 + 1 - (12 - 9). Give i*p(o) + 10*w(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 21*f + 34412 = 0. Suppose f = -14*p + 6742. Let w(b) = -3*b + 18. Let u be w(0). What is the greatest common divisor of p and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 3*x**3 - x**3 + ((-2 + 0 + 3)*(2 - 2 - x) - 13 + 2*x + 13)*(3*x - x - x)*(-2*x - x - 2*x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12127.7268+80160.3\nAnswer: 92288.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from xooxoooooooooooooooo?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*t - 14 = -4*d, 0 = -4*d - 4*t + 16. Find the second derivative of 3*n**3 - 2*n**d - 2*n**3 + 7*n + 3*n**3 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**2. Let q be ((-66)\/(-24))\/(3\/12). Let s(f) = 17*f**2. Determine q*i(g) + 6*s(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -7. Let k be (-1)\/(-3 - (l - 0)). Let s be (-37997 - 1 - k) + -1. Round s to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:57 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.64173 and 2.\nAnswer: 57.28346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/120 - 66\/(-24). Solve z - 3 - 5 = y*t, -2*t - z = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/6 - 69*l**4\/2 + 209*l**3\/6 + 69*l**2\/2 - 104*l\/3 = 0.\nAnswer: -208, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -25.3. What is the fourth smallest value in 3\/8, -1\/3, 0.2, t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/8, 0.5, 1\/8, -4, -1\/4, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 392, 1348, -3\/2, 0.1 in decreasing order.\nAnswer: 1348, 392, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -j - j + 571, 2*h + 5*j = 241. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/78 - (222\/(-90) + 36\/45).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:40 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 9616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w + 70. Let c(b) = -7*b - 71. Let g(r) = 5*c(r) + 4*m(r). Let h be g(-12). Calculate the greatest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 40. Let w(z) = -z**3 - 3*z**2 + 4*z - 1. Let u be w(-4). Let v be u\/(-2)*(-6)\/(-9). Which is the biggest value? (a) v (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 30041 - 9319. Suppose -p = -3*h + 1256. What is h rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-8\/7)\/(d**(-2\/3))**(-6\/5))\/(d**(2\/11)*d*d*(d*d**(2\/15))\/d)**(2\/7) assuming d is positive.\nAnswer: d**(-3008\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -282*n**3 + 12*n**2 - 9*n + 6. Let m(s) = 281*s**3 - 14*s**2 + 10*s - 7. Calculate 6*m(q) + 7*y(q).\nAnswer: -288*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -11, -7, -13, -35, -79, -151?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 + 5*b**4\/12 + b**2\/2 - 167*b. Let a be -5 - -3 - (1 - 0). Determine i(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + i + 2 = 0, -4*k - 4*i - 30 + 54 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 6*q**2 + 15*q + 4. Let i be m(7). Suppose 3*g - i = 5*h, 0*h = -3*g + 4*h + 57. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(2*sqrt(48)) - (sqrt(7) + (sqrt(49)*2)\/sqrt(7) - (sqrt(77) - (sqrt(77)*2 - sqrt(77) - sqrt(77)))\/sqrt(11)).\nAnswer: -7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114) + (sqrt(114) + sqrt(114)*-2*2 - sqrt(114)))\/(sqrt(12)\/sqrt(32)))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1 - 51)*-6. Suppose 5*k + w + y = 101, -k + 5*w - 15 = 0. List the prime factors of (-12)\/(-10)*k\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 1. Let w(m) = -2*m**3 - 12*m - 12. Determine 60*i(t) - 5*w(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.91 - -55. Let z = -189.2 - -189. What is the second smallest value in t, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:51 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 97, 879, -23\/4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, j: 5}. Give prob of sequence jeje.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -60, -70, -84, -102?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 236. Solve -b + 4*u - v + 15 = 0, 2*b = -u - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.11 + -0.11. Let c = -0.056 + 6.256. Let n = c - y. Round n to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, 18, 282, -30 in descending order.\nAnswer: 337, 282, 18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a factor of 3453880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4*y*z + 36*h**3*y*z - 339*h**2 + y*z - y - 1 wrt h.\nAnswer: -48*h*y*z + 216*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, 20, 338, 656, 974?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 10 + 2*v**4 - v**4 - 9 - 7*v**3 to the form w*v**3 + n + b*v**4 + i*v**2 + x*v and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1739 + -77?\nAnswer: 16a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = 4*v - 194, -2*v = 3*j - 283. Let w(i) = -48*i - 70*i + j*i. Determine w(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l. Let v(g) = g + g**2 - 4*g + 0*g**2 + 2 + 2. Let a be v(4). Determine b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/9729861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.055 - 0.055. Let z = -48.6 + b. Let t = z + 33.59799. Round t to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = -6. Let z be (-1662)\/8310 + 4*1*38\/(-40). Put -7, b, 3, z in descending order.\nAnswer: 3, z, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -8 - (-3 + 21 + 69 + -90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/14605093 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 5*y + 8 - 34, -271*b - 1 = -275*b - 4*y - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**4 + 4*b**4 + 7*b**3 - 4*b**4)*(-2 + 2 - b).\nAnswer: 6*b**5 - 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*z - 277*z - 276*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose -5*l + u + 298 + 29 = 0, -x*l - 5*u = -315. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*(0 + 2). Suppose -8 = h - 2*q, 0 = 3*q - 2*q - 4. What is the second smallest value in h, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7420 is divided by 653?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1162*m + 1163*m + 6. Let b(j) = -19*j - 9 + 9*j - 14*j - 12. Is b(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 7. Let c be j(5). Suppose -18 = -u - 0*u - 4*z, u - 4 = c*z. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852.797 litres to millilitres.\nAnswer: 852797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 5*t)*(8 - 3 + 14).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3416 divided by 4?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(240)\/sqrt(4)*6)\/(-2*sqrt(192)) + 5.\nAnswer: 5*sqrt(5)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399 and 84.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 10:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 718497 and 113022.\nAnswer: 10058958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*z = -2*j - 4, 2*j + 10 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003972297 rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 13*t + 285. Let f be h(-22). Which is the closest to 7? (a) -2\/39 (b) -3\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*s**2 - 65*s**2 + 60*s - 60*s to the form w*s**2 + m*s + x and give w.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 5 + 4 - 2*g**2 + 9*g)*(-9*g + 9*g - 3*g**2)*(7 + 0 - 9).\nAnswer: -12*g**4 + 24*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-580)*10*(-114)\/(-228)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25135*a**6 - 154*a**5 - 2467*a**2 - 679.\nAnswer: -3016200*a**3 - 9240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 81*q + 2. Let c = -21728 + 21720. Let n(j) = -122*j - 3. Calculate c*u(t) - 5*n(t).\nAnswer: -38*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let a(i) = i - 186 - 182 + 367. Let p(r) = -2*r - 1 + 1 + 1. Let d(b) = -5*a(b) - 2*p(b). Determine k(d(y)).\nAnswer: 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + -6. Let q = 50 + h. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94216471109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnhz when four letters picked without replacement from zkhhqkqnqkhqq.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 7141575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 + 5*o + 5. Determine r(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 17*s**2 - 10*s + 16. Let x be z(8). Solve x = -4*t - 0*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5648 times -721?\nAnswer: -407.2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4578, -218, -1 in descending order.\nAnswer: -1, -218, -4578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 2:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1376, -1369, -1358, -1343?\n\"Answer: 2*o**2 + o - 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-36)*2 + (-230)\/(-150)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 7188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1014*c. Let s(o) = o**2 + 2*o - 2. Let p(r) = 10*r**2 + 24*r - 24. Let g(y) = p(y) - 12*s(y). Give g(t(v)).\nAnswer: -2056392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000151719 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -680161 divided by -1?\nAnswer: 680161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*f + 6 - 85\/2*f**2.\nAnswer: -(5*f - 6)*(17*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498572 - 3.3?\nAnswer: -1498575.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 145476 divided by 1347\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 3, 0, 4, 0.44, 0.5, 342?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27512, 27511, 27510, 27509, 27508, 27507?\nAnswer: 27506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 186. Let d = -64 + o. Is (0 - (-4106)\/d)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3952*m - 7 = -3951*m - 5*b, 15*m - 4*b - 250 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*x - 61, -x + 33 = 3*b - 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 459749 = -80*q + 49322. Is -5067 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246582 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/773557?\nAnswer: -3\/773557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ajuajuruaauaujuufra?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 770*h**2 + 6*h - 3. Let m(u) = 4619*u**2 + 38*u - 18. Determine 13*c(x) - 2*m(x).\nAnswer: 772*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 795.24 - 778. Let a = 0.24 - c. Let g = a + 16.9999944. Round g to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1360 by 4.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4618*x**2 + 4612*x**2 - 9226*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**3 - 2*c**3 + 36*c**4 - 4*c**3 - 3*c**4 + 0*c**4 + 5*c**4 + (21*c**2 + 114*c - 114*c)*(-3 + 3 - 2*c**2) - 5 + 5 + 2*c**4 - 2*c**4 + 2*c**3 - 2*c**3.\nAnswer: -4*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1611793\/28 - 230255\/4. Suppose 0 + w*h**3 - 24\/7*h - 8\/7*h**2 = 0. Calculate h.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*v - 2)*(-13700 - 103*v + 13700).\nAnswer: -309*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j. Let k(a) = j*a + a + a. Let c(r) be the first derivative of -r**2 + 1. Determine k(c(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25888 = 5*x - 692. Suppose x = 8*m - 4444. List the prime factors of m.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:21 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -222121110110 (base 3) in base 15?\nAnswer: -a52c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, b: 7, w: 2, m: 2}. Give prob of picking 3 n.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 4*d - d + 0*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000270128 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1373474, 1373473, 1373472, 1373471?\n\"Answer: -p + 1373475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 11 + l - 4 - 4*l. What is the units digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5928 and 24\/2560877.\nAnswer: 798993624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29581.434us?\nAnswer: 0.0004930239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10)*2) + sqrt(11) + sqrt(11) + (-2 + sqrt(11) + 1 - sqrt(11)))**2 + -4.\nAnswer: -5*sqrt(11) + 263\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.099*-57110\nAnswer: 5653.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 11*r**2 - 11*r + 15. Let k be b(-12). Suppose k*f = f + 44. Let l = 4 + -4. Solve l = -3*z + 12 + 3, 4*z = -2*p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -7*n**4\/12 - 16*n**3\/3 - 4*n**2 + 17*n. Is 41 a factor of i(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 18*m - 14. Let q be i(-17). Solve -3 = -q*o + 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 7*j + 19 + 4 = 0, -4*j = 3*u - 5*j + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = 5*g, 0 = -2*i + 5*g - 2*g + 13. Suppose -2*h = i*h - 20. Suppose 3*f - 13 = -5*x, -2*f + 4*x - h*x = -18. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3744*s**3 - 106*s - 34?\nAnswer: 22464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -1 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43794 = -20*t + 7646. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 62133941\nAnswer: -2\/62133941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 6*r**2 + 7*r**2)*(-r + 0 + 0).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-7) - 5\/((-35)\/2). Suppose -j*r = 3*o + 2*o - 60, -3*o - 9 = -2*r. Suppose -116 - r = -p. Calculate the highest common divisor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 7)*(107*h**3 + 4*h**2 - 18*h**3 - 4*h**2).\nAnswer: -979*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 4*f**2 + 0*f**2 - 3*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687\/(-18)*-2 - 56\/168 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54066 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3583, 7169, 10755, 14341, 17927?\n\"Answer: 3586*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(378)\/sqrt(6))\/sqrt(9) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(-46))**(-1\/15) assuming a is positive.\nAnswer: a**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 948\/(-5)*(75\/(-6))\/5. Is 473 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -26. Let p = 130 + -82.5. Let z = -52 + p. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42509?\nAnswer: 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 4*t**2 + 3*t + 3. Let m be j(3). Let x be 4\/10 - 96\/(-10). Let r = x + -5. Sort r, m, -1.\nAnswer: -1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 75*i**5\/4 + 25*i**4\/2 + 10*i**3\/3 + 21*i**2. What is s in n(s) = 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = -3*a. Let v be 14\/(-21) - (-7)\/a. What is the second biggest value in v, 4, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1179 + -1263. Let w(o) = -o**2 - 6*o - 3. Let h be w(-5). Let z = h - c. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, n: 5}. What is prob of picking 4 n?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 46*d - 28. Let b(q) = 9*q - 5. Give 11*b(n) - 2*y(n).\nAnswer: 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 - 14*z + 5. What is w(8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793\/8 at most 725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 17*o**2 - 13*o - 100. Give p(10).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 10*x + 5*j + 3, -8 = x + 2*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50b232 (base 13) in base 12?\nAnswer: 76866b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/4)*q)\/(q*q**(-7\/2))*q*q**(-31)*q**(-31) assuming q is positive.\nAnswer: q**(-237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1193765*s**2 - 499002 wrt s.\nAnswer: 2387530*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 18 + 14 - 13. Give x(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 988302 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 3294.\nAnswer: 3293.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w - 13*w**2 - 10*w**2 - w. Let j = -31 - 3. Let o(v) = 4*v**2 + 4*v. Let t(y) = j*o(y) - 6*b(y). Solve t(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3437 at most as big as -3437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1326\/405 - 3) + (-1)\/5. What is the smallest value in -1, -3\/4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*f = -1269*f + 4, -4*f + 2 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1760\/(-1100) - (-9)\/(-10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2523 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8188 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292998149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 14, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346\/14 + (-4)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y + 7. Let f be q(-2). Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 11 - 14 - w**3 in the form i + g*w + u*w**3 + x*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i**2 + 4*i**2 + i**2)*(2*i**2 + 1 - 1) + (-4*i - 3*i + 5*i)*(-4*i**2 + 4*i**2 - 2*i**3) to t*i + w*i**3 + g*i**4 + j + m*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132.0943165 - -0.1390165. Let o = h + 43.9614. Let n = o - -88. What is n rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(9590\/(-3199) - -3). Let n = 633 + m. Let t(z) = -15*z**3 + z**2 - z - 1. Let x be t(-1). What is the highest common factor of x and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (1 + sqrt(891))*-6 - (sqrt(891) - (-1*sqrt(891)*-6 + sqrt(891) - sqrt(891))))**2 + (-4 + -2*sqrt(539) - (sqrt(704) + 0 + 3))**2.\nAnswer: 308*sqrt(11) + 5409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 76. Calculate the remainder when 37 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 + -320. What is the nearest to g in 4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 0.39. Let n = 671\/8 - 1085\/8. Let j = n - -52. What is the second biggest value in -0.3, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71907, -144152, -216397, -288642?\n\"Answer: -72245*u + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 51 = -3*q, 19*z + 5*q = 20*z + 41. Let b be (0 - -4)*8\/(-2). Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 62*y - 540. Give v(-29).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -340, -418, -508, -616, -748?\n\"Answer: -m**3 - 71*m - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129367\/40 + 3234. Let y = 9\/40 - f. Which is the biggest value? (a) 0.5 (b) 2\/7 (c) y (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 16.2. What is the smallest value in -1\/9, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -433077, -432863, -432649?\n\"Answer: 214*o - 433291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 13*d - 56 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 149820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tmtttttmtt.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208031 or -341?\nAnswer: -208031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51926584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 888*p**2 + 80691*p - 2142354.\nAnswer: 3*(p - 142)*(p - 107)*(p - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2948 - -5?\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 1652458 = 19*x - 560382. What are the prime factors of x?\nAnswer: 2, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6311 - 6253. What is the second biggest value in -2, d, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 3\/8, -3, 0.04, -2\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 1. Let k(w) = w**3 + 9*w**2 + 13*w - 13. Let t(r) = -2*j(r) - k(r). Let q be t(-10). Solve 4*h - 7 = -3*b, -2*h + q = 2*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -434 + 443. Let j = -9 + 4. What is the smallest common multiple of q and -1 + 2 + -1 - j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m - 216. Let p be j(14). Suppose 3*c - 2*c + 4*a = 12, 3*c + 4*a = 28. What is the lowest common multiple of 2 and c\/p*(-1032)\/32?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22781 + -22775.3235. What is b rounded to 2 decimal places?\nAnswer: 5.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2573*y - 3433*y - 1169*y - 1406*y in the form t + x*y and give x.\nAnswer: -8581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - o - 39. Let v be b(0). Let d = 47 + v. Let p(j) = 17*j**3 - 2*j**2 - 8*j - 12. Let g be p(d). What is g rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1708481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 8. Is -2*((-447)\/r)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*b + 168 = 0, 2*x - 102 - 10 = 3*b. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16872 divided by 222\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-144))\/((-20)\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -17*n - 104. Let c(r) = -5*r - 28. Let l be c(n). Let t(h) = h - 9. Calculate t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -8.191655394453.\nAnswer: -7.791655394453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35141 by 18.\nAnswer: 35141\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*w = -104*w + 49 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30060 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*141.9.\nAnswer: -9507.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4662690 by -6.\nAnswer: 777115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -82502\nAnswer: 2\/41251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.3896, 0.2, -2\/25, 2\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -4*a + 17, 13 = 3*a + u. Let n be 4 + (0 + -1 - -1). Let l be n\/1 + 6\/(-3). Calculate the highest common divisor of l and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 1 (c) 188 (d) -1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 7, 1 in increasing order.\nAnswer: -14, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 31, 73, 153, 283, 475, 741?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvqwqqwvwqqv. Give prob of sequence vwqv.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0660076 weeks to days.\nAnswer: 0.4620532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8398 is divided by 207.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:21 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) - (4 + sqrt(272) + (-2 + sqrt(272))**2 + sqrt(272)) - (4 + -2 + sqrt(272))**2.\nAnswer: -556 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 3*r)*(2*r - 1 + 1) + 6*r**2 - 4*r**2 + 0*r**2 - 39*r**2 + 9 - 9.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(1 - 4) + 0. Suppose 5*i - 15 = -5*r, z + 2 = 5*r - i. Suppose -r*m - y = 4*y, -3*y = 2*m - 8. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0466 plus -10040.843714?\nAnswer: -10040.890314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 2. Let a(p) = 5*p**2. What is o(a(x))?\nAnswer: -30*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, i: 4}. Give prob of sequence rrr.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Suppose 0 = -z*c - 8*u + 3*u + 45, -4*c + 36 = -4*u. Calculate the least common multiple of c and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6*-0.32411.\nAnswer: 1.166796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c + 3*c + 7*c + c to a + m*c and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18966 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 68. Let q(o) = o**3 + 5*o**2 - 4*o - 1. Let t(u) = -u**3 - 5*u**2 + 3*u. Let w(j) = g*t(j) + 4*q(j). Determine w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 7. Let k = -3 - -8. Let i be 3 + (3 + 0 - k). Let f(h) be the second derivative of -h**2\/2 - h. Determine i*w(c) - 6*f(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 183352163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1630 - 1630.787. Let p = m + 0.287. Let r = -1 + 0. What is the third smallest value in r, -1\/4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + q = 7, 0*h - 5*h - 50 = 4*q. Let v(d) = d**2 + d + 1. Let o(j) = -j**3 - j**2 - j - 1. Let u(w) = o(w) - 5*v(w). What is the units digit of u(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8022230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11413 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a + 41. Let v(w) = -w**2 - 4*w + 3. Let f be v(-3). Let m(j) = 22 + f*j + 16 + 4*j - 11. Let t(i) = 7*m(i) - 5*s(i). Differentiate t(z) wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2516 + -2523. Let y = 3 + -3.4. Sort -5, r, -2\/7, y.\nAnswer: r, -5, y, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77850884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/(58\/(-174))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a22265 (base 16) to base 5\nAnswer: -10210010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 792984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 3*g)*(6 - 2 - 2) + g + 0*g + g + (0 - 1 + 0)*(8*g + 10 - 10).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -158 + 163 - (-2 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -r + 11, -3*r + 4*k = 36 - 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65424 * -4.\nAnswer: -261696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:28 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(2100)*1 - sqrt(21) - 1*sqrt(189)))\/((sqrt(12)\/(sqrt(4) + sqrt(64)) + (sqrt(3) - -5*sqrt(3)*-1))*4).\nAnswer: 75*sqrt(7)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 10545?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:58 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (1504\/186)\/(-4). Let s = v + 172\/651. Determine w so that -2\/7 + 0*w + s*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.34944 to one dp.\nAnswer: -246.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 + 20 = 0. Suppose 0 = -n + 3*c + 632, q - 1 = c. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 42 = -u + 2*s, -5*s - 15 = 0. Let t = u - 7. Suppose 0 = -0*y - t*y + 42. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800868.59 to the nearest one hundred.\nAnswer: 1800900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10896, -10802, -10652, -10446, -10184, -9866?\nAnswer: -9492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27, -28, 5, 4, 0 in decreasing order.\nAnswer: 27, 5, 4, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - -5) + -5 + 17 + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3105, 6222, 9347, 12480, 15621?\nAnswer: 18770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79922887*n*t - 2*t + 45598528 wrt n?\nAnswer: -79922887*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = l - d, 5*l - 5*d - 25 = 0. Suppose l*y = y. Which is smaller: 4\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3729744\nAnswer: -18648720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 5*d + 10. Let q(g) = 2*g**2 - 6*g - 12. Let w(s) = 5*n(s) + 4*q(s). Determine w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 + -4 + 3. Suppose -4*l - 2*n = -772, -2*l + 3*l + o*n = 199. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486317 is divided by 366.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611870 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 76, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -3 + (-8 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-680)\/170*(2\/(-2))\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*q = 3*q - 21, 2*q = 10. Let h = j + 9. Suppose -f + h = -3*x, -x - 105 = -5*f - 2*x. What is the least common multiple of 16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 150. Let d(w) = 2*w + 151. Let a(o) = -6*d(o) - 5*n(o). Let r be a(20). Solve 0 = -r*q + m - 0*m - 11, 0 = 5*q + m + 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.3, 1, -5, 2, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/270)\/(4\/(-72))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -7*t**3\/3 - 3*t. Let q(k) be the third derivative of 5*k**4\/24 - 232*k**2 + 2*k - 4. Calculate c(q(v)).\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38901 is divided by 447.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*i)*(4*i**2 - 9*i**2 + 9*i**2)*(-2 - 2 + 6)*(6 - 21 - 6).\nAnswer: -336*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 16561360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4597724, -4597717, -4597722, -4597745, -4597792, -4597869?\nAnswer: -4597982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2 + 943*c - 782. What is k(-95)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - w = -15, 6 = -k + 3*w - 5*w. Suppose -k*g + 4 = -t, 0*t = -g - t - 4. Let h be g - 3\/((-63)\/(-6)). Is h less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2373, 2260, 2161, 2082, 2029, 2008, 2025, 2086?\n\"Answer: r**3 + r**2 - 123*r + 2494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d + 6*d + 44 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.6 + -27.8. Let r = k + 4. Let u = 0.42 - 0.02. Sort r, 4, -1\/3, u in ascending order.\nAnswer: -1\/3, r, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -27*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*l**2\/5 - 23059437*l\/5 + 311614\/5.\nAnswer: (l - 311614)*(74*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(1088) - (sqrt(1088) + 0)) + sqrt(1088) + (sqrt(1088) + 1 + sqrt(1088) + 2 - sqrt(1088)))**2.\nAnswer: 320*sqrt(17) + 8754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2 - 0. Suppose -5*b = 0, 2*j + 2*j - 12 = f*b. Let v(s) = -5*s - 111*s**3 + 3 + 4*s**2 - 113*s**3 + 223*s**3. What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8)\/(p**(1\/3)*p)*(p*p**0)**(1\/25))**(1\/20) assuming p is positive.\nAnswer: p**(-551\/12000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let i(l) be the second derivative of -16*l**3\/3 + 53*l. Determine i(g(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978532.\nAnswer: 2, 244633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3591457 * -1.\nAnswer: 3591457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-72099)\/18)\/((-6)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 916*b**2 + 15*b**5 + 0*b**5 - 618*b - 8*b**5 - 2 + 156*b**3 - 158*b**3 - 6*b**5 wrt b?\nAnswer: 20*b**3 - 12*b + 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2482449175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3 (b) 1\/6 (c) 1\/4 (d) 308\/3 (e) -4\/3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*-2)**2 - sqrt(11)) + 4 + (0 + (sqrt(99)\/(sqrt(36) - sqrt(9)) - sqrt(11)))**2.\nAnswer: -sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.12 - 0.12. Let b = 3.1 + -0.1. Let x = l + b. What is the second biggest value in 0.4, -0.3, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-6)\/y*y)*y)\/(y*y\/y**(1\/5)))**49 assuming y is positive.\nAnswer: y**(1519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 6, 17, 28, 39, 50?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1253.1000056165 - 1253.1. Round b to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -201012100?\nAnswer: 201012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (1 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 + 281*j**4\/3 - 11014*j**3 + 828094*j**2\/3 + 33041*j\/3 - 276125 = 0?\nAnswer: -375, -1, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*r - 19. What is the least common multiple of r and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000918 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 625059*v**2 - 1250109*v + 625053.\nAnswer: -3*(v - 208351)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/42)\/(395\/(-158))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5294 + -5310. Suppose -2*a = -3*a - 4, 5*c - 3*a = -8. Which is greater: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 + 2)\/5)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*a + 52 = -108, -f + 4*a - 40 = 0. Let z = f + 43. Find the third derivative of -o**3 + 7*o**2 - 14*o**6 + o**z wrt o.\nAnswer: -1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*l - 795, -496 = -4*z - 4*l + 1076. Suppose 8*t = 2*t + z. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.3. Let s = 0.2724 - g. Round s to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66.49 + 67. Let t = 0.49 + w. Let u = -0.01 + -0.49. Sort u, 0, t.\nAnswer: u, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5533.438 kilometers to centimeters.\nAnswer: 553343800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:00 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01633 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 2*j - 3 + 5*j - 108*j**2 + 109*j**2 to n*j**2 + g + u*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-54)\/(-12))\/((-3)\/(-4)). Let v(l) = -7*l + j*l + 0 + 0. Let s(r) be the third derivative of r**5\/12 - 831*r**2. Calculate s(v(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1292*t**4 - 2537*t**4 + 5*t**3 - 136 + 1281*t**4 wrt t?\nAnswer: 144*t**3 + 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 107, -1373 in descending order.\nAnswer: 107, 3, 2, -1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**3 - 13*k**2 - 13. Let n(s) = -5*s**3 - 6*s**2 - 6. Let r be ((-26)\/(-3))\/(8\/(-12)). What is r*n(a) + 6*m(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc7 (base 14) to base 10.\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3815.\nAnswer: -1\/3815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 7*z + 0 + 0*z**3 + 0*z**2 + 5\/12*z**4. Let m(j) = -2*j. Calculate r(m(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 12, 14, 16, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:53 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 229654 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*k + 54*k + 80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(325) + 0))**2*-4 + 4.\nAnswer: -5196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*p = -4 - 7, p - 7 = -3*c. Suppose -c*s + 2*u + 10 = 0, 5*s = -u + 4*u + 21. Solve -s*n = -4 + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151871281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 36 = -4*j, -60*j + 117*j - 63*j + o = -o - 42 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -149540.027 and 1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + ((sqrt(240)*2)\/sqrt(12))**2)*-2.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrer?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-360)*-5*(-156)\/195\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-13\/6)*i**19 assuming i is positive.\nAnswer: i**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6848, -5, -133, -2 in ascending order.\nAnswer: -6848, -133, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-1))\/(-4)*156. Let a be 26 + 27 + 4 + 3. What is the greatest common factor of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.7, -0.09, 5, 2.5, 2\/3 in decreasing order.\nAnswer: 5, 2.5, 2\/3, -0.09, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72681 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 times 6880.4\nAnswer: 39906.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1206, 1208, 1210?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-1 - 3 - -4). Solve 0*p = -s + 2*p + 7, 3*s = p + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from {s: 4, e: 1, v: 6, m: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(363)*-2 + sqrt(363))**2 - sqrt(363) - sqrt(27)\/sqrt(81)) + (-3 + (sqrt(33) - (1*sqrt(297) + sqrt(33)))\/sqrt(11))**2.\nAnswer: -16*sqrt(3) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 3512*h\/3 + 1172.\nAnswer: -4*(h - 1)*(h + 879)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32717589.\nAnswer: 3, 53, 347, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - -5?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5884.215 millimeters?\nAnswer: 0.005884215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140514 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -13, -36, -71, -118, -177?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.4. Sort q, -2\/11, -2\/3 in ascending order.\nAnswer: -2\/3, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as -23196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 136286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 21*h - 265. What is k(0)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by -3.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010067 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 - 2 + 1 - 3*a. Suppose -7*n - 9 + 2 = 0. What is the units digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 26182\/3, 0.4 in decreasing order.\nAnswer: 26182\/3, 0.4, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69)\/(-46)*(61950\/9)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"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: Let h(r) = r**3 - 4*r**2 + 3*r - 1. Let f be h(3). Let s(b) = -8*b + 1. Calculate s(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = t, 31 = 4*j - 2*j - 5*t. Suppose -g = -5, -4*g + 26 = -3*y - j. Is (0 - -20)*y\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2*u**5 + 5*q**2*u - 499*u**5 + 31*u**2 wrt u?\nAnswer: -120*q**2*u**2 - 29940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 8 = -3*p - 5*a, 5*p - 110 = 5*a. Suppose -q = 4*j - 0*q - p, 4*j - 24 = -2*q. Let c(x) = -x**3 + 4*x**2 + 6*x + 2. Does 7 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2. Suppose -n = -r*n + 6. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/6 + 2*u**3\/9 - u**2\/3 - 2*u\/3 + 19. Factor o(y).\nAnswer: 2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8855, 6\/5, 15, 1.1 in increasing order.\nAnswer: 1.1, 6\/5, 1.8855, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 + 0*d**2 + (-3*d - 3*d + 5*d)*(-4*d + d + d))*(7 - 7 - d**2).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**(-19)*(r*r\/r**0)**(5\/4) assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 - j - 4. Suppose 3*f + 21 - 6 = 0. Let b be s(f). Let q(l) = l**2 - 13*l - 3. Let t be q(13). Sort b, 2, t.\nAnswer: t, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3669 - 2252. Calculate the highest common divisor of d and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 16161?\nAnswer: 565635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9416*i + 9712*i + 6808 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) -203 (c) -9\/16 (d) -499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 7*q - 5. Let x be y(4). Let n = -7 - x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42881392 times -0.14\nAnswer: 6003394.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*f - f - 388 + 435 = -202, -3*f + 159 = -3*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 43. Let u be 2\/44 - (-98853)\/(-5478). Give c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 9 - (279 - 286)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99601824.\nAnswer: 2, 3, 7, 103, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8769 - -8772. Suppose 98*t - 1\/5*t**4 + 22\/5*t**w - 168\/5*t**2 - 343\/5 = 0. What is t?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**(-1\/2)\/(t**(-1\/12)*t**(2\/3)*t)*((t**0\/t)\/t)**8*t**(-7\/4)*t\/(t*t*((t\/((t*t**(-5))\/t))\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/1)\/(39\/(-6864)). Find the common denominator of 1851\/i + 18\/(-288) and 67\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**2 - 5. Let u(v) = 5*v**2 + 4. Let l(z) = -5*u(z) - 4*y(z). Let g(f) = f**2 - 3*f**2 + 2*f**2 + 2*f**2. Give l(g(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**3 + 6*q**3 + 94031*q - 38*q**3 - 94031*q.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + -0.52. Let i = p - 1.4. Which is the biggest value? (a) -1 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5642\/15 - -376. Let y = -0.086 + 1.086. Which is the second smallest value? (a) 0.3 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 j, and 1 k when four letters picked without replacement from kbjaakbakbakbbkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/7 - 190*q\/7 + 192\/7 = 0. What is q?\nAnswer: -96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-5)*h)**(1\/3))**6)**37)**9 assuming h is positive.\nAnswer: h**(-2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w. Let h(b) = -77*b**2. Give h(q(n)).\nAnswer: -7700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000517 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -59.2 and -1299 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + 14 - (68 + -71)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0, -2\/9, -0.103, 387?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccjc. What is prob of sequence cj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 4*f + 5. Let h be l(3). Suppose 132 = 2*w - 5*v, h*w = -2*v + 3*v + 148. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 + 13*g**2 + 27. Let p(m) = -4*m**3 + 6*m**2 + 14. Let q(h) = 3*c(h) - 5*p(h). Is 11 a factor of q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8)**29 assuming n is positive.\nAnswer: n**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -36. Are 7 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047364*-26975\nAnswer: 1277.6439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13989\/2 + 7021. Find the common denominator of a and (7\/2)\/((-423)\/33).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 14*q + 21. Let v be h(4). Suppose 3*z - v = -4*l + 46, 0 = 5*l + 3*z - 156. Put -1, l, 3 in ascending order.\nAnswer: -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**2 + 2*h + 83. Calculate g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 738357*(-8*9\/(-54))\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14481 or 101362\/7?\nAnswer: 14481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8930456.\nAnswer: 2, 19, 41, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**2 + 25*w + 65. Is z(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 350151340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 9\/4, 1\/3, -0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(-26)\/(z*z**(-3))**(-42))**(-7) assuming z is positive.\nAnswer: z**1316","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 4. Let n be p(0). Suppose n*l = 4*z - 544, 3*z + 256 = 5*z + 2*l. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 6*k + 16 = -3*d, 0 = -3*k + 15. Suppose -2*v = 2*n + d*n - 1360, 3*n + 2*v - 816 = 0. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-9))\/(55\/30) + -2. Let n = 26 + -23.2. Let t = n + -3. Do c and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 6. Suppose 5*c = 4*y - 14, 5*y = -3*c + 3*y - 4. Let i be (-1*2 - -2)\/c. Is 4 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*y - 29268 - 362148 - 736328. What are the prime factors of y?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32224 and 10336.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k, n + 0*k - 32 = -4*k. Suppose -4*r - 83 = 17. Let j = n + r. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 8 = 3*l + 4*b, 0 = 4*l + 5*b - 28. Suppose -5*p + 25 = 3*c + 2*c, l*c - 4 = 0. What is the derivative of -p + 0 - 2 + 2 - v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Suppose 4*b = -5*t + 15, 65 = 5*b - t - 2*t. Differentiate b*m**4 - q*m**4 - 15 + 8*m**4 with respect to m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - l**3 - 3*l**3 + (-1 - l + 1)*(-3*l**2 + 2*l**2 + 2*l**2) + 4*l**2 - 4*l**2 - 5*l**3 + (0*l**2 - l**2 + 2*l**2)*(-2*l + l + 3*l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/55 + 346\/1155. Let p = x - -10\/21. Solve 2\/3*f**2 + 2\/3*f**5 - 2\/3*f**3 + 0 - p*f**4 + 0*f = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/360 - 7*h**5\/120 + 7*h**4\/24 - 11*h**3\/3 + 19*h. Let b(q) be the second derivative of u(q). Determine b(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*q - 499*l**3 - l**2 - 5*l*q + 15*l - 358*q wrt q.\nAnswer: -l**3 - 5*l - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 35 = -3*j, -5*j = -4*z + 9. Sort z, -5, -6.\nAnswer: -6, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28*p - 105. Let z be o(5). Suppose -z*m - 14 = -28*m. Sort 4, -1, m, 102 in decreasing order.\nAnswer: 102, 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -59*f - 66*f - 270, -24*f + 2 = -21*f + m - 3*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7518 from -33.\nAnswer: -7551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3233 = 5*h - 3*f, 4*h + 1287 = 6*h + 5*f. Suppose x - t - h = -5*t, -3*x + 1863 = -3*t. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1137 - -1c560?\nAnswer: 20697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*h**2 - 40 - 15*h**3 - 10*h**2 - 48*h + 52.\nAnswer: -3*(h - 2)*(h - 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 - 66. Let o = 169 - a. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910203.\nAnswer: 3, 7, 89, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2. Let d(w) = -15*w + 25. Determine d(z(n)).\nAnswer: -45*n**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763370?\nAnswer: 2, 5, 13, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -15*h + 1192. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/((-60)\/(-18)). Let k = 0.5 + -0.5. What is the third smallest value in k, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 204.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(-295) - (-84)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -635846.478 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927079.\nAnswer: 7, 11, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 28 = -3*l. Let a(s) = -3*s**3 + 2*s - 2. Let k(d) = 4*d**3 - d**2 - 3*d + 3. What is l*a(u) - 2*k(u)?\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1222387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2864593*d*x - 1743258*d - x + 1 with respect to x.\nAnswer: 2864593*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466492203.\nAnswer: 3, 639907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 198. Suppose -d = 2*d + 3. Is d greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3002210 - -2?\nAnswer: 3002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.06 (b) 0.5 (c) 3\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adaxhyxh. Give prob of picking 3 a and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 4, i: 2, v: 2, b: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 17*d**2 + 11*d - 77. Give j(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4561520*c + 2280756*c + 2280764*c - 2239*c**2.\nAnswer: -2239*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a + 56. Let s be w(-7). Sort 2, -3, s in ascending order.\nAnswer: s, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22122 (base 7) to base 15.\nAnswer: -19a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.9 + -16.9. Let v = 27\/5 + -221\/40. What is the smallest value in -3, j, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199178394*p**5 + 91*p**2 - 700638.\nAnswer: -11950703640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/11 - 38*z**4\/11 + 42*z**3\/11 + 38*z**2\/11 - 40*z\/11 = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, -1, -4, -2.\nAnswer: -4, -2, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136792 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q. Let v = q + -1. Let k(a) = 5*a**3 - a**2. Give k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -22*d + 376. Let s be u(18). Which is bigger: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -o + 4*l, 5*o - 3*l = 7*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 1. Let t = 247 - 1232\/5. Let n = -1 - 0. What is the second biggest value in n, l, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.035089 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4*g + 3)*(2*g**2 + 0 + 0).\nAnswer: 8*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i**3 - 3*i**2 + 10*i + 12275 wrt i?\nAnswer: -12*i**2 - 6*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1837.8447?\nAnswer: 183.78447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 123602989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(2 + -2 + 1). Let v(g) = -g**3 - 8*g**2 - 8*g - 6. Let a be v(-7). What are the prime factors of 5\/(1\/(x\/a))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 2*p - 8. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4223 is divided by 3968.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 111529*f**2\/3 - 223061*f\/3 + 37177.\nAnswer: (f - 1)**2*(f + 111531)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503540535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 79, 3, 0, 1 in ascending order.\nAnswer: -1, 0, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2\/3*x**3 + 2*x - 96 + 1\/6*x**4 - 1\/3*x**2. Factor j(v).\nAnswer: 2*(v - 3)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -11. Let p = -1.97 - 0.03. Let x = h - p. Put 5, -3\/5, x in ascending order.\nAnswer: x, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -3*c + 5, -5*c - 4*o = -14. Let n(i) = 431*i**3 + 3*i**2 - 7*i + 11. Is n(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18981\/2 - -9492. Let z(q) be the second derivative of -18*q + k*q**3 + 0 + 7\/2*q**2. Let b(u) = -5*u - 4. Determine 5*b(a) + 3*z(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16) + (-130)\/(-40). Let x = -1 - -4. Is t greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267611363 - -1.4.\nAnswer: -267611361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122 - 212) + 184 + -14?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18855 minus 16?\nAnswer: -18871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from zszbstbzstss?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z + 36*z + 216 = -7*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 26440?\nAnswer: 1\/6610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11049601 and -489.43.\nAnswer: -11050090.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouf when three letters picked without replacement from {j: 6, u: 1, o: 2, f: 2, k: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -515745368 divided by -13939064\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y**3 + y + 7*y**4 - 19*y**3 - 6*y**4 - 1 - 2*y**2 in the form q*y + z + d*y**4 + x*y**3 + g*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2947 - 1212 = 7*w, 5*w + 6255 = 3*j. What is the least common multiple of 2090 and j?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-110))\/(4\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 0. Let x = 16512 + -231169\/14. Are v and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d3458 (base 16) in base 12?\nAnswer: -28b85b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 135 = -w. Let z = -26 - w. Put -67, z, 5 in descending order.\nAnswer: 5, z, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, p: 2, a: 4}. Give prob of sequence apva.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -4, -497 in ascending order.\nAnswer: -497, -12, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31303 + 42142?\nAnswer: 10334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -6 - (0 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 49*q - 152 = -0*t + 54, 3*t = 2*q - 46 - 3 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42082909, -0.3, 2\/7 in descending order.\nAnswer: 42082909, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 18. Suppose x = -x + 106. Suppose 7 = -4*z - x. Calculate the remainder when y(z) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8380 - 8205. Calculate the remainder when 535 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = -2*l, i - 3*l = 4*i + 9. Let f = i - -12. Let v = 10 - f. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0 + 14*j**2 - 1 - 13*j**2 + 0*j**4 - j**4. Let z(b) = -21*b**4 + 3*b**2 + 3. Let w(t) = 3*u(t) - z(t). Find the first derivative of w(s) wrt s.\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t. Give k(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233\/4 + 2\/(-8) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35.97, 0.2, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -661*c**2 - 75*c + 3. What is d(-1)?\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21206 * -3486.\nAnswer: 73924116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2225 + 1041244?\nAnswer: 1035015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371035*q + 371045*q = 3*l + 28, -2*l - 11 = q for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -167 - -10?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582239 is divided by 328.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/12 - o. Let q(p) be the first derivative of -21 - 29\/3*p**3 + 0*p**2 + 0*p. Calculate x(q(i)).\nAnswer: -841*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18 and 17\/584116.\nAnswer: 5257044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31c (base 13) to base 8.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5787 - 5868. Sort -2, r, 2 in ascending order.\nAnswer: r, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11865.\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7982 divided by -3991?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*r - 4590 = -446*r. Let d be 60\/r*(-3)\/2. Let g = -10 + 14. What is the closest to 2\/3 in g, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.3 - 56. Let m(o) = o**2 + 2*o + 1. Let y be m(-2). Which is the third biggest value? (a) y (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56017.29ml in litres?\nAnswer: 56.01729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 118, 121, 124, 127?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:55 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 580?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((66\/(-18))\/1)\/((-4)\/20316) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:39 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -33225, 61, 1 in decreasing order.\nAnswer: 61, 1, -3, -33225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79006904 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (10\/(-5) - 3))\/(-22)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236 - 234)*(-36 - -8).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 1052*q**2 + 23150*q\/11 - 11576\/11.\nAnswer: -2*(q - 1)**2*(q + 5788)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 5}. Give prob of sequence xvv.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2. Let f(d) be the first derivative of -d**3\/3 - 2. Calculate a(f(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, -5, 244, 6 in increasing order.\nAnswer: -5, -1, 2, 5, 6, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d - 5*t + 18 = 95*d, 5*t = d + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -9. Let o = 1103 + -1101. Let a be (o\/6)\/((-5)\/(-915)) + -5. What is the greatest common factor of a and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 + 178 + 24*y**2 - 11*y**2 - 15*y**2 to the form s + m*y + i*y**2 and give s.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - i**2 + 2*i - 1. Let b be s(1). Suppose 6 = 3*t - b. Solve -t*d = -6 - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52367 is divided by 2143?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4869, -9248, -13627?\nAnswer: -18006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n + 225297 - 201592 - 545559 = 0. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010256438997 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccffccffcfcctfcttf. Give prob of sequence ftcf.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*-2*sqrt(171) + -2*-3*sqrt(171))\/(((-2*sqrt(72))\/sqrt(8) - (sqrt(9) + sqrt(720)\/sqrt(5) + sqrt(9)))*-2).\nAnswer: -1 + 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18928 and 1872.\nAnswer: 170352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959950*x + 6*x**3 + 959950*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/6 + 0. Suppose 0 = 3*n + 22 - 25. Suppose 0 = 2*p + n + 3. Which is the biggest value? (a) 0.1 (b) o (c) p (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2)\/g)\/g*g)\/g)\/(g**(-4)*g))\/((g\/g**(-4))\/g*g**(5\/2)*g)*((g**(1\/5))**(-33))**(-26) assuming g is positive.\nAnswer: g**(1631\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/12*-3)\/(2\/28). Let i = 46 + r. Let q(h) = -h**3 - 3*h**2 - h - 1. Determine q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35161 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, x: 1, t: 1, n: 3, u: 3, r: 1}. Give prob of sequence nntu.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b0d (base 14) in base 3?\nAnswer: 2222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 17 - 4 - 3*o**2 + 3 + 2*o**2. What is the tens digit of a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1584\/(-48))\/(6*(-49)\/(-14))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 2*t + 22. Let p(y) = 3*y**2 + 5*y + 42. Give 4*p(o) - 7*r(o).\nAnswer: -2*o**2 + 6*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6468 - -6074.9. Let o = x - -430. Round o to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 20. Let c be 75*(-2 + -14*4\/(-20)). Suppose 4*q + 5*a - 27 = 45, c = 4*q + 2*a. What is the remainder when j is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/2 - (0 + -3). Let o be c - (-637)\/210 - 1\/(-6). Factor -3\/5*p**5 + 9\/5*p + 9\/5*p**4 - o*p**3 - 3\/5 - 6\/5*p**2.\nAnswer: -3*(p - 1)**4*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1808 - -974?\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from {s: 5, q: 1, w: 5, n: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 15. Calculate the remainder when -4 + 2 + (-1 - -20) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/720455 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020022200 (base 3) to base 8.\nAnswer: -57343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2564, -20518, -69262, -164192, -320704, -554194, -880058?\n\"Answer: -2566*d**3 + d**2 + 5*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 7084.\nAnswer: 7084.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-15)\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -0*u. Suppose 10 - u = -3*k. Sort 2, k, -5.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*b*g - 206416*b + 2581*g**4 wrt g?\nAnswer: -63*b + 10324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 13302*o**2 + 9182187*o - 1736564508.\nAnswer: 3*(o - 3636)*(o - 399)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u + 11. Let k(h) = 7*h - 7. Let x(i) = -8*k(i) - 5*v(i). What is the remainder when 17 is divided by x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3339086\/381 - -8764. Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5741398*f**6 - 13818015*f**2.\nAnswer: -688967760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -406*y**3 + 3*y**2 - 3*y + 2. Let r be u(-3). Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2359000 rounded to the nearest ten thousand?\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/((-3555)\/(-1659)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -1\/19, -25\/71, 4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1974 and -2057 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 31*r**3 - 6*r. Suppose 5*w = 10, -d - 12*w - 345 = -14*w. Let q(n) = 1767*n**3 - 341*n. Give d*a(p) + 6*q(p).\nAnswer: 31*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 630*g**2 - 20152*g + 28. What is d(32)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j + 10. Let b(l) = -29*l**3 + 12*l**3 + 2*l - 3*l**2 + 16*l**3. Calculate b(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1456 and 5794.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, p: 3, s: 1, x: 1}. What is prob of sequence pxpk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l - 2*l**2 + 0*l**2 + (3 + 2*l - 3)*(l + 0*l - 2*l) + 2*l**2 + 0*l**2 - l**2 + 2 - 4*l**2 - 2)*(-92 + 10 - 71).\nAnswer: 918*l**2 - 153*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004613 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 2. Let d be g(-3). Suppose 3*i = d + 1. Suppose j = -i*j - 720. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 13*z**4\/12 - 59*z. Let k(n) = 4*n. What is k(s(w))?\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 1, v: 1, k: 2, u: 1, t: 1, a: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -105*p - 937. Let n be b(-9). What is the highest common divisor of 10624 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) -2 (b) 4 (c) -408 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.899966 + -3.9. What is l rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26737 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312821 and 2421840?\nAnswer: 75077040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -57\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 10*h**2 + 2*h - 14. Calculate the remainder when 21 is divided by o(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 33. Let s be q(-11). Solve -4*k + 20 = -u + k, s = -4*k + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36636 - 25398. What are the prime factors of x?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 6*k**2 + 3*k. Let t be u(7). Let o be t\/357 + 2\/2. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a - 4*u = -14, a - u = 4. Suppose 4*o - 88 = -5*v, 2*v - 3*o = -a*o + 38. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152003094 and 286578?\nAnswer: 10614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -531 - -553. Suppose c*s - 5275 = 1215. Calculate the remainder when s is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 11*q - 258. Let x(l) = l**2 - 11*l - 256. Let m(g) = 3*n(g) - 4*x(g). Let h be m(22). Solve -25*z - h = -17*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 plus 16594159.71031?\nAnswer: 16594158.87031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d0d853 (base 14) to base 13.\nAnswer: -15c14b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 8*r + 23. Suppose -1 - 7 = -2*b. Let y be 468\/52 - (-1 + b - 0). Is h(y) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35574 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20))\/(2\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25872*y**3 + 7*y**2 + 1480*y + 2 wrt y.\nAnswer: -155232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + (-1 - (-1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12685 and 21004.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 - 18*v + 102. What is h(9)?\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 1. Let i be n(-4). Let z be 6 - (-7 + i + -5 + 9). Solve -3*a = z*g - g - 4, 3*a + 2 = -4*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/10)*(z*z**(2\/15))\/z)**3 assuming z is positive.\nAnswer: z**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-8 - -1 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -631*((-6)\/(2 + 0) - -2) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -91 + 90 + 12*p - 6*p + 12*p. What is g(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -28. Let a = l + -8. Solve 4 = a*t, -1 = 4*o - 5*t + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 15 = 11. Factor 5*c**3 + 30*c**2 + 34*c + 190 - 65 + 25*c**n + 141*c.\nAnswer: 5*(c + 1)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 50. Let m be k(15). Suppose 47*f - m = 42*f. Suppose 3*a = 5*i, -6*a + 3*i = -a - f. Calculate the least common multiple of a and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183176 is divided by 589.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from xvypcypycvyycnv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3 - 27\/(-9)). Let z = 0.67 - 1.83. Is z smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-4) - (-8)\/16. Suppose l*p - 16 = -4*w, w - 31 + 12 = -5*p. Let c be 2\/p - (-36)\/8. Solve c*y = 4*x + 30, 4*x - 14 = 6*x - 2*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -47. Suppose -6*f + 4*f + 4 = j. Solve -8 = -4*r, -f*q + 9 = 4*r - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) - sqrt(110)*-1))\/(sqrt(60)\/(sqrt(6)*1)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23400 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 133 - 127 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -76. Let n = m + 74. Let x(f) = -9*f - 12. Calculate the remainder when x(-8) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/(13*(-133)\/(-2223))*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 44. What is the smallest value in 0, q, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(19\/((-114)\/(-84))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -1. Let i = -3.146 - -0.146. Which is the third biggest value? (a) j (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2 + sqrt(153) + 4.\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49055.\nAnswer: 5, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 0*p**2)*(-15*p + 992 - 992).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d. Let z be n(8). Let v be 60\/(-16)*z\/(-6). Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from jxjcxizxcccjxn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r**2 - r + 7. Let y(u) = -u**2 - 1. Determine -k(i) - 6*y(i).\nAnswer: -23*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3580\/(-2864)*(1 + -2 - (-6)\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533450 = 41*f - 303*f + 520350 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/8)\/10)\/(116\/(-8))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -6 + (-2 - -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 192 + 172. Suppose -215 = -4*u + 361. Calculate the remainder when u is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*d + 54*d + 38*d + 19*d + 20*d + 51*d + 2.\nAnswer: 61*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let l(r) be the third derivative of r**6\/30 - r**4\/24 - r**2. Let w be l(1). Let o(m) = 3 + 3*m - w. Determine s(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 29 = 21. Suppose 2*q = -z + 2, 5*c + 4*q + 16 = 0. Which is greater: c or 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28584*g**2. Let j(y) = 2024*y**2. Determine j(h(s)).\nAnswer: 1653699193344*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78875, 78875, 78873, 78869, 78863, 78855, 78845?\n\"Answer: -t**2 + 3*t + 78873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47202 + -47207. Let p = -3 + 2.8. Put p, a, 1\/2, 0.1 in decreasing order.\nAnswer: 1\/2, 0.1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -177.19 and 75.\nAnswer: -102.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 5415 + 42952 + 19393. What is the smallest common multiple of g and 1?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6476831082001 - -0.021?\nAnswer: -6476831082000.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1845 + 1853. Solve 2*y + 2 = 2*o, k*y = -5*o + 12*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 1.5. What is the smallest value in 2\/9, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3248379, -12993629, -29235713, -51974631, -81210383, -116942969, -159172389?\n\"Answer: -3248417*l**2 + l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 92*a**2 + 675*a + 84. Let i be u(-9). Factor 32\/3*v**2 + 0 - 1\/3*v**i - 256\/3*v.\nAnswer: -v*(v - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 28. Let w = m + -10. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(108) - (2*sqrt(108)*-3)**2)*-4 + 2*(0 + (-4 + 0 + sqrt(108))**2) + 3.\nAnswer: -120*sqrt(3) + 15802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 15*i + 105. Let u(p) = -p**2 - 2*p + 5. Give r(f) - 6*u(f).\nAnswer: 4*f**2 - 3*f + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -103.6. Sort h, -0.2, 1, -2.\nAnswer: -2, h, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 1. Let l be (-2)\/(-9) - 32\/(-18). Let q(w) = w**3 - 8*w**2 - w + 2. Let p(a) = l*q(a) - 3*i(a). What is p(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(88)*-1*-6)\/(sqrt(72)*2).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 456885542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 - 209. Suppose -9*r**2 + s*r**3 - 20*r**4 + 57*r - 41*r - 55*r**2 = 0. What is r?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-8 + 9*f**2 - 2*f**2 - 8*f**2).\nAnswer: -2*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let u be d(1). What is the remainder when 55 is divided by (-8 - u)*(4 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2569 - 0.7431. Sort 0.5, -1\/11, 0, l in ascending order.\nAnswer: l, -1\/11, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48833110 <= -48833110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 587.\nAnswer: 586.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2160*j**3 - 1 + 0*j + j - 2162*j**3 - 543*j**2 as f*j + n + u*j**3 + v*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6559488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 158\/54 - (-4 - (-2014)\/513)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**33\/d**20)\/(d**(-1\/50)\/d*d\/d**(-32\/7)))**(-20\/11) assuming d is positive.\nAnswer: d**(-5914\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213233 (base 4) to base 2.\nAnswer: 100111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 - -450. Let r(w) = -398*w - 1. Let t be r(-1). Let l = v + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 - q**2)*(1 + 2 - 4).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7109037 divided by -3\nAnswer: -2369679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00241751343 rounded to 7 dps?\nAnswer: 0.0024175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 - 65 = -1001*v + 458. Let q = -11 - -4. What is the closest to v in 3, 6\/11, q?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-25\/3)*c)\/c**(-14))**(2\/19) assuming c is positive.\nAnswer: c**(46\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177120 rounded to the nearest 10000?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1267.8*3.\nAnswer: 3803.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 440 = -3*o. Is -1*(o + (3 - 4)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868713 * -1\nAnswer: 868713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 2.6. Let q = -275 - -275. What is the nearest to n in q, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(833))**2 + -1).\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**3 + 4*a**2 + 3*a + 3. Let n(m) = 7*m**3 - 5*m**2 - 3*m - 4. Calculate 4*l(f) + 3*n(f).\nAnswer: -3*f**3 + f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -29?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 + 11*q - 28. Let z be b(2). Solve z = 35*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {a: 5, g: 3, k: 2, x: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(-100)\/425 + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66446953633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(90) + (sqrt(90) - sqrt(90)*2) + sqrt(90)))\/sqrt(5))\/(-6*sqrt(81)*-2)*-3.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/15 + 5*w**4\/24 + w**2. What is the second derivative of p(l) wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i - 1206 = -693 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/168)\/(12\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 651325017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2*1\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:21 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1)*(61 + 1). Let n = m - 122. Solve -2*r + t - n + 3 = 0, 0 = -4*t - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/15)*g\/g**(5\/6) assuming g is positive.\nAnswer: g**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(3*n**2 - 2*n**2 - 3*n**2) - 3*n**4 + 5*n**4 - 4*n**4 + 2*n**3 - n**4 - 2*n**3 + n**4 + n**4 - 4*n**4 + 3*n**4 + 0*n + 0*n.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 10*t + 8. Determine q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let t = j + -1. Which is the closest to 0? (a) -4 (b) -2\/19 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -1, -75\/7, 0.1, -2\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 + -2.7. Which is the third biggest value? (a) 1 (b) -0.1 (c) k (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4579 + 0.456484. What is i rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(90\/(-4)) - (-62)\/5. Let t be 240\/28 - d\/21. What is the highest common divisor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 13*m**2 + 21*m + 15. Let s be a(11). What is the third biggest value in -0.1, -2, s, 22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thqhtsthhhqtttgg. What is prob of picking 2 g and 1 h?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10923465 and 74\/33.\nAnswer: 120158115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - 1) + (-33 - -20 - -10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 3*k + 0*k + k + 20. Let r be o(-6). Solve -r*a - 14 = 3*n, 0 = 2*n - 0*n + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 39314342 = 12402517. Let g = k - 10158953. Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 92*a + 693. Calculate z(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, z: 1, b: 3, j: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2 - 4*o - 1. Let r be q(5). Suppose 6*x - 5*x + 1 = 0. Let p(g) = 11*g**2 + 2*g. Let w be p(x). Solve -i + w = -r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/7 + 23*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 minus -73352?\nAnswer: 73764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 w when four letters picked without replacement from zwwwwzwzww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-12)*(-9 - -1). Let d = -1437 - -1442. Suppose -d*r - 3*v - 67 = -f*r, 4*v - 32 = -2*r. Calculate the smallest common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12695 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2181490 - 25?\nAnswer: -2181505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - -4. Let o = -45 + 179\/4. Which is the closest to 2\/11? (a) p (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3214*k + 10. Let y be r(3). Suppose -h - 10648 = y. Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 15*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/20 + k**4\/8 - 8*k**2. Factor u(n).\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 872587 and -0.0468.\nAnswer: 872586.9532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 112. Let v = g - -73. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1419006926*v**3 - 759043502.\nAnswer: -4257020778*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - (-62 - -980)\/51?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5592)\/(-3262) - (4\/(-14) + (-230)\/(-10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**7\/294 - 197*j**6\/210 + 4997*j**5\/70 - 14405*j**4\/42 + 28421*j**3\/42 - 9409*j**2\/14 + 12*j - 6. Factor h(o).\nAnswer: (o - 97)**2*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717.008ml in litres?\nAnswer: 2.717008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2402895.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*t**2 + 2*i**3 + 393*i**2*t**2 + 10*i*t**2 + i - t**2 - 2*t wrt i?\nAnswer: 6*i*t**2 + 12*i + 786*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - -1) + -5 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:09 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 7*g - 28. Suppose -2*x - 22 = -g*s, -17 + 4 = 4*s + 5*x. Solve -3*o + 0*j + 5*j + 11 = 0, s*o + 4*j = -25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312748907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**2. Let x(s) = -16*s**2 - 4*s. Let q(t) = -15*t**2 - 5*t. Let f(m) = 4*q(m) - 5*x(m). What is -12*c(n) - 5*f(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - h + 6 = 0, 2*h - 3 = 4*q - 9. Suppose -1 - 266 = -q*t. Which is greater: t or 269\/3?\nAnswer: 269\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*d = -h + 385*d + 13, 3*h - 19 = -2*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-222)\/(-153)*(-498)\/16. Let x = -764\/17 - q. What is the common denominator of x and 17\/44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5, 3*b + 0*b + 55 = 4*p. Let h(k) = -4 + 5 - 33*k + 35*k - 5. Let q(f) = -4*f + 9. Give p*h(v) + 6*q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*140\/35\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307255 + 307255 + 197*o**3.\nAnswer: 197*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 4*z, 4*z - g - 8 = 2*z. Calculate the remainder when 32 is divided by -1 + (16 - (z - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 223\/37 - (-198)\/(-33). Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 3\/80*q**6 - 1\/70*q**7 + 0*q - 1\/40*q**5 - 7*q**2 + 0*q**3 + 0*q**4 + 0. Factor n(x).\nAnswer: -3*x**2*(x - 1)*(2*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -188 + -28?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53720 is divided by 53424?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3 and (72\/255)\/((-8)\/60)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.239.\nAnswer: 0.0478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5326264 - -4?\nAnswer: -5326260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431900 divided by 4.\nAnswer: -107975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 - 2*d**2 + 15*d - 4. Let r be f(4). Let w = r + -135. Suppose -3*n - 145 = -5*g, 5*g = -4*n - 0*n + w. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 2*i**2 + 3*i - 8. Let b be t(3). What is the greatest common factor of 1242 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**6\/4 + l**5\/5 - 3*l**4\/2 - 4*l**3\/3 - 51. Solve p(f) = 0.\nAnswer: -2, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 591 = -213. What is the units digit of x\/(-2) - (2 + -4 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 195 = -12*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 4*p + 1. Let n be l(-3). Let x(h) = -6*h - 3. Let d be x(n). Let g = d - -70. Solve 7*v - 2*v = -g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 22. Let n(d) = d - 55. Let b(o) = -2*n(o) - 5*x(o). Let i(c) = -9*c. Calculate -22*b(s) + 6*i(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7175, -7098, -7009, -6902, -6771, -6610, -6413, -6174?\n\"Answer: m**3 + 70*m - 7246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3\/3 - 5*t**2\/2 - t + 6. Is 3 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2788229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 + 37*h - 84*h + 45*h - 1. What is f(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*x - 16 - 2, 2*i - 4*x = 28. Let b(m) = m**3 + m**2 + m. Let q(z) = -16*z**3 - 14*z**2 - 14*z. Give i*q(h) + 84*b(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 181?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31203102 + 11?\nAnswer: -31203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 5*y**6\/216 + y**5\/18 + y**4\/18 + 5*y**3\/3 - 15*y**2. Let j(o) be the first derivative of z(o). Factor j(l).\nAnswer: (5*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/304 and -1\/760.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 149 = 15. Let m = s - -57. Suppose -5*q - 10 = 4*r + 10, r + 4*q = -m. Solve -2*k - 2 = -r*k for k.\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: Does 259 divide 1052662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212855 (base 9) to base 10.\nAnswer: 126815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*s**5 + 83*s**4 - 3*s**2 - 120*s + 18 wrt s?\nAnswer: -380*s**3 + 996*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 + -6. Suppose 0*l + l - 8 = 2*b, -2*b = 2*l - 10. Let g be (1\/(-2))\/((-4)\/l). What is the closest to -2\/3 in g, -1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-75)*(-9)\/(-8))\/(9\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:39 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3244*j**2 + 74*j + 583. Is l(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 24*q - 37. Let h be (((-45)\/(-20))\/((-15)\/10))\/((-2)\/12). What is v(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219 + -215. Let f = -63\/22 + 4\/11. Which is the smallest value? (a) -2\/11 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7440637 is divided by 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 4)*(5 - 5 + k)*(k + 0 + 0) to the form h*k**2 + u*k + m and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 - 11*a**2 - a - 4. Let z(j) = j**3 + j**2 - j + 1. Let x(u) = f(u) + 4*z(u). Determine x(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9765*-0.3.\nAnswer: 0.29295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - 3*k**2. Let d be u(2). Suppose b = d*n + 2*b - 594, 4*n - 586 = -5*b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9418.896m to millimeters.\nAnswer: 9418896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 197. Determine u(15).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133819 is divided by 1133798?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1162*h*l - 8700*h + 4*l wrt l.\nAnswer: 1162*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 + 4*m + 3. Let p be (-90)\/30 - (0 - (1 + -1)). What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1711*j**2 - 23*j + 7. What is the smallest common multiple of d(1) and 30?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314199 is divided by 424.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 8*i**2 - 16*i + 3. Suppose -4235 + 4205 = 5*r. Calculate k(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1278\/11 - -116. Let s(d) = d**2 + 5*d + 5. Let q be s(-4). Are l and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p - 3. Let g be f(0). What are the prime factors of 9 + (-2 - g\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130144332 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - 3*q)*(-2*q + 3*q + 3*q).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7*f = -2*f. What is the tens digit of (-296)\/(-6) - (f - 5\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*c + k, k + 3*k = 16. Let s = -2 - -6. Solve x = s*x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**2\/2 + 2*g - 2. Let s be w(0). Find the third derivative of 0*y**2 - 2*y**s - 2*y**5 + 4*y**5 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8098 + -5730. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:07 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165166 and 3070?\nAnswer: 825830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let b be 2*f*1\/(-24). Let g = -164565.4 - -164565. Sort b, g, -2, 2\/19.\nAnswer: -2, g, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. What is the lowest common multiple of r\/2 - (0 - -1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25 times 113?\nAnswer: -254.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-1568359.\nAnswer: -47050.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 11*y - 36 = -6*d, d = 2*y + 3 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*g + 9, 2*a - 6*g = -g - 3. Let k(p) = 42*p**2 - 57*p - 57. Let r be k(-1). What is the greatest common divisor of r and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*z - y - 22, -5*y - 3 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150432 plus 172.9?\nAnswer: 150604.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*f + 24*f + 12*f + 37*f in the form o + q*f and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 8*k + 52*k)*(1 + 0 + 1 + (3 - 2 + 1)*(-4 + 0 + 2) - 3 - 1 + 2).\nAnswer: -148*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -277, -3, 8, 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1800826 and 604.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/131? (a) 5 (b) 0.03 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1)**45\/(w*w**(1\/4)*(w\/(w\/(w*w\/(w\/w**(-2\/7))))*w)\/w)*(w**0)**(-33)*w*w\/(w\/(w*w\/w**(3\/2)))*w*w\/(w\/w**5) assuming w is positive.\nAnswer: w**(155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.171604 micrograms?\nAnswer: 3171.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-333)\/(-1332)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.36 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 724 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665 (base 8) in base 11?\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (34\/8)\/((-2)\/(-8)). Let b(d) = -1499*d + 34497. Let s be b(23). Is s >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -337 + 518. Suppose 38 = -13*x + l. Solve 9*t + 2 = x*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -293 + -1?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 5 + 2*sqrt(102)\/(-2*sqrt(6)))**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81146 = -2*j + 88*q - 87*q, -8*q = j - 40590. What are the prime factors of j?\nAnswer: 2, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(3\/2)*y*y**(-3))\/(y**(-6)*(y\/(y*y**(-4)))\/y))\/((y**(-1\/2)*y)**(-6)*y**(4\/5)*(y*y**(-1\/3))\/y*y) assuming y is positive.\nAnswer: y**(181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 2 i when four letters picked without replacement from iiviifff.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:56 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5158 or -5482?\nAnswer: -5158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2419.89 + 2419.8779633. What is s rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 26 = -u. Let j = 75 - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10054200 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 + 222 - (1 - -35) - (-130 - (-3 - -5)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (6*-1 + 0). Let t(u) be the third derivative of -1\/12*u**5 - 7\/6*u**3 + 1\/8*u**4 + 0*u - u**2 + 1\/120*u**6 + 0. Calculate t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549271.\nAnswer: 19, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 1. Let u = 36 - 36.55. Let m = u - -0.6. Put m, k, 1 in ascending order.\nAnswer: k, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -25, 5*h = 2*i + 53 + 252. What is the remainder when h is divided by -34*(39\/(-42) + (-42)\/(-98))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b - 121. Determine o(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39225598 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 11)\/(-1) + 1. Let r = -4 - n. Suppose a + 16500000 = r*a. What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-2))\/((-3)\/(-18)). Let g(v) = v**3 + 2*v**2 + 4. Let n be g(-4). What is the units digit of (-8)\/n - p\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -41*h + 12870. Calculate the highest common factor of 126 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456244.\nAnswer: 2, 31, 157, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(2\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*l - 4*l = -40, l + 30 = -j. Let t = 40 + j. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74330\/8 - -2 - (-23)\/(-92) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lzglzellzlzzzz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.1935mg to tonnes.\nAnswer: 0.0000008301935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.28435 months in years?\nAnswer: 5.6903625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8848 * -9\nAnswer: 79632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/4393 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -252 (c) -68\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11663\/5 - 198332\/85. Calculate the common denominator of y and -27\/7.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 287, 440, 611, 806, 1031, 1292, 1595?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*t = 38, -15 = 3*t - 0*t. Let h = k + -289\/5. Which is the smallest value? (a) 2 (b) h (c) 0 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, 2\/3, 12\/5, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17384?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6*f - 32 = 0, 0 = n - 4*f - 38 + 16. Let z be -2*2*(-1)\/2. Which is the fourth smallest value? (a) z (b) 5 (c) n (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-12 - -8) + (-2715539)\/(-142879)\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10064623.64 to the nearest one thousand.\nAnswer: -10065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.02 - 26. Round w to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 1. Let h be ((-1)\/1)\/((-4)\/(-1104)*4). Let m = h + 71. Let v(c) = -c + 2. Let i(r) = m*v(r) - 4*w(r). Let t(f) = -37*f**2. What is t(i(a))?\nAnswer: -148*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -76. Suppose -4 + 7 = 3*b. Calculate the greatest common factor of b and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 - 97*s**2 - 17*s + 215. Give m(-12).\nAnswer: -3181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-170)*12 + (-20)\/170. Solve 23*d - 25*d - 5*q = 14, -8 = i*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20040\/(-7515)*3\/12*141.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 9. Let x be g(6). Let j be 6\/x*(-5 - 0). Suppose j*h = 5*h - 135. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394\/3 + (2\/24)\/((-42)\/168).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**3\/3 - 39. Let u(l) = 14*l**2 + 6*l - 6. Let r(s) = s**2 + 2*s - 2. Let x(f) = -3*r(f) + u(f). What is m(x(c))?\nAnswer: -242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*a*j**2 - 357*a*j - 9*a - 3*j**2 + 22589 wrt j.\nAnswer: 578*a*j - 357*a - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d - 13*d**3 + 2 + 25*d**3 - 19*d**3 - 5*d wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8025 + 20512*x**2 + 6*x - 1712 + 101 - 20514*x**2.\nAnswer: -2*x**2 + 6*x + 6414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 704, 1546, 2716, 4208, 6016, 8134?\nAnswer: 10556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -108*n + 95*n. Let r(c) = 2*c**2 + 6*c + 2. Let b(u) = u**2 + u + 1. Give n*r(l) + 4*b(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 8 + 12 - (2 + 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205125353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, 2.9, 2\/11 in increasing order.\nAnswer: 2\/11, 2.9, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 12 = -l, 3*l - 4 = -r - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/15 + 2498*w**2\/3 - 6497922*w\/5 - 6502086\/5.\nAnswer: -2*(w - 3123)**2*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 1)*(6 - 3 - 1 - x) + (3*x - 4*x - x)*(-4 + 4 - 2))*(2 - 7 - 6) + 2*x - 4*x + 7*x.\nAnswer: -72*x + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -61015.56247 to the nearest one hundred.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3772703 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1054\/2856979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 1 + g + 0)*(-5 - 7 - 7).\nAnswer: -19*g + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41382 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 - 42*d**4 + 159*d**3\/2 + 208*d**2 - 246*d = 0. Calculate d.\nAnswer: -2, 0, 1, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 979 and 623?\nAnswer: 6853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(144)\/(2*sqrt(3)))*1)**2 + 2 + (-3 + sqrt(48)*1 + sqrt(48))**2 + 4 + -2.\nAnswer: -48*sqrt(3) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(120\/1200)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 288?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212706615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-25) + (-96)\/(-10). Suppose -5*c = -2*d + 17, 0 = 2*d + 4*c - 0*c + u. What is the derivative of 4*q - 4*q + 2*q**2 + d wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:21 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let n be x - -8 - (3 + -2). What is the derivative of -4*t**3 - 14*t**2 + 14*t**2 + 7*t**3 - n wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11333.504 to the nearest 10.\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 22. Let i be k(0). Suppose -5*n + 3*n + 5*s = 23, 0 = -2*n - 4*s + i. Is (-1)\/(n*3\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2754.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*x, -z + 4 = 2*x - 3*z. Suppose 0 = -x*m + p + 21, 5*m + p - 3*p = 30. Calculate the smallest common multiple of m and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 10*c + 5. Let m be b(10). Suppose -q + m = 3. What is the third derivative of 2*y**4 + 5*y**2 - 4*y**q + 0*y**4 + 0*y**4 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(90)\/sqrt(3))\/((sqrt(360) - ((sqrt(360)*-2 + sqrt(360) - sqrt(360)) + sqrt(360) + sqrt(360))) + sqrt(1000) + sqrt(1000)*-1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 112159462 and 112159462 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 1 - 28*i + 189*i**2 - 187*i**2 - 3*i**4 - 1 in the form b*i + r*i**4 + d*i**2 + a + n*i**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3825 times 5\nAnswer: -19125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 300 = 7*s. Suppose -4*l = -5*b - 4078, -13*l + s*l = 5*b - 1032. List the prime factors of l.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4327)\/(-12981))\/((9\/(-51))\/3).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6733, 6767, 6799, 6829, 6857?\n\"Answer: -q**2 + 37*q + 6697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 2. Determine l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 34 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4120662 or 4120664?\nAnswer: 4120664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -2c?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:47 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/6 + (-6)\/(-18). Let u = -5 + g. Let d be (-3)\/30*(-5)\/2. Which is the second biggest value? (a) u (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1455348200 by -144955.\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 808*j\/5 + 81608\/5.\nAnswer: 2*(j + 202)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260702133.\nAnswer: 3, 79, 1100009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -6. Let g = 7 - t. Let c(r) = r**2 - r - 5. Determine c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.4 - 24.4. Let r = -4 - -3. Which is the closest to q? (a) 1 (b) -1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 653 + -646.26. Let y = -1.82 + f. Let z = 0.08 + y. What is the second biggest value in z, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b + 165. Suppose 3*c - 159 = 3*w, 2*w + 172 = -2*w - 4*c. Let o = b - w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + 3*k - k - 1 + 1 + (-2 + 1 + 0)*(2*k + 0 + 0) - 4*k + 0*k + 2*k + (130*k - 163*k - 584*k)*(3 - 3 - 3).\nAnswer: 1849*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88184890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m**2 - 3*m - 2. Let k be p(-1). Let l = -31 - k. Let q = -36 - l. Solve 7 = 3*r - 2*u, -4*r + 1 = 5*u + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32295354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = -4*k + 16, 3*a = -k. Solve 5*g = v - 13, v - 25 = 5*g + k*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from {n: 11, a: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/5 - y**3\/3 - 85*y**2\/2 - 6*y - 11. What is the derivative of a(m) wrt m?\nAnswer: 12*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 z when four letters picked without replacement from {z: 1, y: 1, m: 1, b: 1, q: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 222 = -2*z. Calculate the greatest common factor of z and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*m + 44062, 55078 = -23*m + 28*m + 2*v. Suppose m = -30*k + 48*k. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaxacauauaaaoux. Give prob of picking 1 o and 1 u.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-322*t**3 - 845*t**4 + 164*t**3 + 158*t**3)*(2 + 0 + 3).\nAnswer: -4225*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from yyxv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -1953\/5. Let s = u + -2. Which is the closest to 1? (a) s (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93.55 - 89.55. What is the closest to -1 in 0.1, 2, d, -0.002?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 + 8*j - 50. Let h(q) = -q**2 - q + 1. Let t(u) = 6*h(u) - s(u). Give t(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 9, h: 7}. Give prob of picking 1 a, 1 u, and 2 h.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 660, 897, 1158, 1449, 1776, 2145?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23911 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 3310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-60))\/((-544)\/(-460)). Let s = o + -5\/68. Let r = -7 + 2. Which is the third biggest value? (a) 1\/3 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 2*o - 9. Calculate d(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1426*s**2 + 28*s**5 + 1266 - 2409*s**2 + 2832*s**3 + 1024*s - 517*s**2 - 512*s**4 - 1266 = 0. What is s?\nAnswer: 0, 2\/7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10740 and -5.425785956.\nAnswer: 10734.574214044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31970 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -122600 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 z when three letters picked without replacement from kzkkvql.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.17 less than 152.8?\nAnswer: 159.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 3. Let n be y(3). What are the prime factors of (0 - (-5)\/3)*n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 153 = 3480. Let r = -862\/5 + s. Solve -3\/5*u**2 - r - 6\/5*u = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 2*d**2 - 2*d**2)*(1 - 1 + 2*d + (-3*d + d + 3*d)*(153 + 123 - 18) + (-8*d - 4*d - d)*(2 - 2 - 2)).\nAnswer: -572*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(3\/22)*(a*a**0)\/(a**2\/a))\/((a\/((a\/(a*a\/(a\/((((a\/(a\/(a*a**(1\/3))*a))\/a)\/a)\/a)*a)))\/a))**(-29\/2))**(-5\/12) assuming a is positive.\nAnswer: a**(8029\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1092 + -1091.6. Which is the nearest to 1\/2? (a) s (b) -3 (c) 2\/3 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2394432 and 768?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 = -5*g - 2*b, 208428*g + 2*b - 341 = 208431*g for g.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 1)*(-z + 2*z - 2*z) - 20 - 14 - 34*z + 36 - z + 5 - 5 as u*z + m and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Suppose 72 = -x*q - q. Is q bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-1\/2))\/c)**(-29)\/(((c*c\/(c**11*c))\/c)\/c*c**(-4)) assuming c is positive.\nAnswer: c**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 192?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31204 (base 6) to base 8.\nAnswer: -10124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1177707 or 1177723?\nAnswer: 1177723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 34\/3*r**2 + 2\/3*r**3 - 12*r = 0. Calculate r.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/60*11*(-16)\/(-176)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75769*x**3 + 9*x**2 + 4*x + 20141021 wrt x.\nAnswer: -227307*x**2 + 18*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-0.01.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5781.971 years in months?\nAnswer: 69383.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 545, 1085, 1621, 2147, 2657, 3145?\n\"Answer: -o**3 + 4*o**2 + 535*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**4\/4 - j**3 + j**2\/2 + 3*j - 278. Let m = 3 + -6. Calculate u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1705*s*u**4 + 345*s*u**3 + s*u**2 - 225*s*u + 4*s - u**4 - u**3 - 11*u**2 - 3*u - 1 wrt u.\nAnswer: 40920*s*u + 2070*s - 24*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -45*l**2 - 48740*l + 43360 = 0.\nAnswer: -1084, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571862.\nAnswer: 2, 3, 261977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3*h - 72*b**3 - 1835*b*h + 45596*h + 1 wrt b?\nAnswer: -9*b**2*h - 216*b**2 - 1835*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3501*w - 4. Suppose 5*k = 2*c - 28, 0*k - 12 = -k - 4*c. Let z be s(k). Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(17 + (-539)\/33). What is the second smallest value in 45, -3, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 17 = -37. Let a be 0 + (0 - -2) - 5. Let m be 4 + (v - 6\/a). Solve m = 5*o - 19 - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r - 10 = -97*r, 0 = 2*w - 4*r - 5675980. Round w to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9428, 2, -29 in decreasing order.\nAnswer: 9428, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 26*j - 79*j + 16*j + 3*j**2 + 22*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.64474t in milligrams?\nAnswer: 17644740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.74 + 0.395. Let h = j - -0.145. Which is the closest to 0.1? (a) 2\/7 (b) 18 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*d + 36*d - 6, 2*d = -3*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 12*x - 1)*(-3 - 4 + 5 + (1 - 2 + 2)*(2 - 3 + 2)) to k*x + g and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 18*l + 51. Calculate i(11).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11474*n. Let t(y) = y**2. Determine t(x(l)).\nAnswer: 131652676*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 2*j + 33. Let k be v(-8). Put 18, 0, k in increasing order.\nAnswer: k, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.054 - -6.58. Let o = m - 0.546. Let z be 1\/(-1 + -1)*1. What is the second smallest value in 0.2, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 17. Let k be g(-12). What is the remainder when 76 is divided by 40\/(4\/(-10)*k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyuyoooyyo?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2426176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) + -1*sqrt(825) + -1*sqrt(2112))\/(sqrt(1584)*-2*-5 - sqrt(1584)).\nAnswer: -2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, p: 1, z: 3, o: 1}. Give prob of sequence zozz.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319 - 314. Solve -u*n = n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 9\/34, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*g + 86 = -8, 0 = 4*o - 4*g - 360. Let u = o - 56. Suppose 286800 = u*m - 29*m. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 4, i: 2, z: 6, s: 2}. What is prob of picking 1 z and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 4.07. Let n = -181 - -107. Let k = n + 218\/3. What is the smallest value in k, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 37*i**2. Let z(l) = -4*l - 7. Let v be (-13)\/65 - (-82)\/10. Let w be (-189)\/18*v\/6. Let j(b) = b + 2. Let u(t) = w*j(t) - 4*z(t). What is u(n(h))?\nAnswer: 74*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -1\/3, -3, -210, 5, 53, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 5*k. Let i be h(8). Let x = i - -42. Round x to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 - 415. Is x less than or equal to -27\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6*w = -2134. Suppose 0 = 4*k - 2*h - w, -k + 3*h = -3*k + 109. Let n = 91 + k. What are the prime factors of n?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38251, 76395, 114465, 152461, 190383?\n\"Answer: -37*b**2 + 38255*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*h = 8*j - 3542, 0 = -5*j + 2*h + 4429. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3731.795 microseconds?\nAnswer: 3.731795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -16, -32, -56, -88, -128?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)*m)\/(m*m\/m**24) assuming m is positive.\nAnswer: m**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 69, 2\/15, -7, -1, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2045513 - 10649519 = -102*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-3) - (-10)\/15. Solve 4*f + 3 = -v + f, 5 = 3*v + g*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17528482 greater than -17528483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.028 in -2, 0.5, 2\/5, -106, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40310 and 442020?\nAnswer: 12818580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 96 + (31 - 16 - 19 - (8 + -9))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 59\/(-354) + 826\/(-12). Put b, -3, -2 in increasing order.\nAnswer: b, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 494395956, 988791912, 1483187868, 1977583824, 2471979780, 2966375736?\n\"Answer: 494395956*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*p + 726, 2*y - 5*p - 40 - 479 = 0. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/((-4175)\/(-2004))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1327 - 670 - 562)*(4*q**3 - q**3 - q**3).\nAnswer: 190*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 5*b + 5*m + 279, -10 = 2*b - 3*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-950)\/(-6384)*-14)\/(4\/(-12)*-15).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -14*u - 27. Suppose 59 - 5 = 9*v. Put v, 4, u, 1 in descending order.\nAnswer: v, 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -108. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 + 9*g - 13. Let m be d(-6). Put m, 3, -1, 40 in decreasing order.\nAnswer: 40, m, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 0.1, 0.4, 1\/163?\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 55293?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 190 = -19*v + 23*v, -5 = -t. Solve -1 = 5*d - 3*r, 2*d + v*r = 49*r - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {p: 1, j: 4, r: 1, w: 5, n: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1161 + -98679\/85. Let i = 47307 - 4021033\/85. Let a = s + i. What is the biggest value in 2\/23, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268502, -536832, -805156, -1073474?\nAnswer: -1341786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -595 + 612 - 50\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/6373 - 337791\/70103. Find the common denominator of u and (4\/18)\/(2 + 0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446742464 divided by 4\nAnswer: 111685616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3240*m - 5. Let u(z) = -3242*z + 4. Let t(b) = 4*n(b) + 5*u(b). Let k(c) = 29*c. Let h(g) = 225*k(g) + 2*t(g). Let i(r) = 3*r. Calculate i(h(s)).\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2591*t + 1520*t**3 + 5436*t - 2845*t.\nAnswer: 1520*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 6) in base 15?\nAnswer: 1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/30*(-140)\/(-784)*(-1)\/2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.909 to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 28*z + 3*l = -15, -5*z + l = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22 + 5*t**2 + 6*t + 7*t - 6*t - 33. Let n(w) = 3*w**2 + 4*w - 6. Determine -4*h(a) + 7*n(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/5 - 6*n**3\/5 - 18*n**2\/5 + 46*n\/5 - 24\/5 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 80 - 139 + 42*z + 61 - z**2. Is t(29) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 2. What are the prime factors of -1*14*(s - 2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/9 + 15904*b**2\/9 + 192792*b + 5222880 = 0?\nAnswer: -54, 8060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8716.172 days in minutes?\nAnswer: 12551287.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 99. Let h = 42 - k. Which is the second biggest value? (a) h (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315570015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034.435 rounded to the nearest ten?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 2\/17 (c) 1\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 151*y**4\/4 - y**3 - y**2\/2 + y - 644. Calculate w(-1).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9812511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 27*q**2 + 114*q + 834. Give p(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k - 2. Let n(x) = 6*x + 1. What is 8*n(o) + 3*y(o)?\nAnswer: -9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*h + 232*h - 2938. Calculate the greatest common factor of h and 1921.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-99) - 2*2\/6\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(468) + sqrt(468) + 1 + sqrt(468) + sqrt(468))*-5)**2.\nAnswer: 6000*sqrt(13) + 187825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20 + 0\/(-1))\/(-1). Let x = f + -8. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25138 (base 11) in base 14?\nAnswer: d227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(162) + -2*sqrt(162))**2 - (sqrt(4)\/sqrt(2) + 1)**2) + ((sqrt(288) + -1)*3 - sqrt(288)) + 3.\nAnswer: 16*sqrt(2) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3\/3 - 73. Let g(v) = 23*v. Calculate g(o(m)).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/86800 and -43\/6200.\nAnswer: 86800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0 - 12. Let f(k) = k**3 + 7*k**2 + k - 3. What is the remainder when z\/(-10)*390\/(-9) is divided by f(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -80, -2\/25, 0.1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 4*b**2 - 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2 - 3 + 2. Let o(w) = w + 2 + 1 - 3. Let p be (0 + -5)*((-380)\/50 + (6 - -2)). Determine p*o(f) - d(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.4 (c) 0.3 (d) 4\/9 (e) 0.8385\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h - 5. Calculate t(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267 - 251. What is the remainder when 22 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n. Suppose 0 = -4*s - 0*s - 3*p + 52, 3*s + 4*p - 32 = n. What is the highest common divisor of 32 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004657 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 2815\/(-97)) + ((-1)\/2)\/(16\/32)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865 is divided by 1285?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 - 310. Let x = -19 + j. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**2 + 4*m**2 + 3*m**2)*(2*m + 0 + 0) + 0*m**3 - 3*m**3 + 4*m**3 + (m**2 - 3*m**2 + m**2)*(0 - 4*m + 0) to k*m**2 + w*m**3 + f + y*m and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29684, -118753, -267196, -475007, -742180, -1068709, -1454588?\nAnswer: -1899811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + 11*y)*(-2 + 3 - 2) - y + 4*y - 4*y in the form x + d*y and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/9 in 0.69, -6, 4, -0.5, 7\/121, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0709 - -0.5709. Let s = -7 + 48\/7. Let i = -0.01 + 0.11. Which is the closest to i? (a) w (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51331 (base 7) to base 3\nAnswer: -122011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4365 and 367921?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:48 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/800)\/(6\/(-4))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6414638 + 0.3208\nAnswer: 6414638.3208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153446?\nAnswer: 2, 3, 7, 29, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 + -136. Suppose 0 = 4*o - i - 96, i + j = o + 8. Calculate the lowest common multiple of 150 and o.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0) + (0 + -2)*22840. Let g = c - -29213. Let j = g + 543424\/33. Calculate the common denominator of -70\/9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288) + 1 + 3 - (2 + sqrt(288) + 1) - ((2 + sqrt(288) - sqrt(288)) + 1 + 3)))**2*-1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 22*a - 2. What are the prime factors of z(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3421*l**4*q - 217*l*q - 56*q + 73423 wrt l.\nAnswer: -13684*l**3*q - 217*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 502740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.03 - -7. Let y = k + 0.53. Let p = 4.7 + -1.7. What is the nearest to 1 in 1\/3, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5574*u**4 - 300*u**2 - u - 1?\nAnswer: 133776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -25. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**2 - 6*a**6 - 14*a**6 + 10*a**6 - 6*a**6 wrt a.\nAnswer: -1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95192*v**2 + 1645*v + 291245543 wrt v.\nAnswer: -190384*v + 1645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttrteehetetetecrrhe. Give prob of sequence rrth.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 130097464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1756996 and -15905.\nAnswer: 1741091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*y - 373, 0 = -5*t - 4*y + 549 + 394. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, 1483, 4821, 9773, 16249, 24159?\nAnswer: 33413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 3*t + 3. Let i be f(-2). Suppose g + 0 = i. Let h(y) = -y + 1. Let n(d) = 2*d - 4. Let q(v) = g*n(v) + 4*h(v). Let w(l) = -l**2. Give w(q(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1 (b) -5 (c) -2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 c when four letters picked without replacement from rrccqrqcrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57ed - 8d2?\nAnswer: 4e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -2, -1 in decreasing order.\nAnswer: 0, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/(i**4*i))**(2\/23) assuming i is positive.\nAnswer: i**(16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 850444993 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-2*f**3 + f**3 - f**3) + 10728*f**3 + 10477*f**3 - 22452*f**3 in the form h*f + w + q*f**3 + l*f**2 and give q.\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62637012*l**2 - 2*l + 31012992 wrt l.\nAnswer: 125274024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1088)*-1)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l. Let u be y(8). Let q be 6\/(-21) - u\/(-7). Suppose 0 = 4*d - 2*x - 4, -4*d - 5*x + 0*x = -q. Solve d*c + 0 = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65345 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let t be 1\/(-2)*(0 - -4). Let m = t - y. Calculate the remainder when 5 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 4, y: 2, r: 1, i: 1}. Give prob of picking 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + 20 + (-372)\/(-2) is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -486244, -486398, -486550, -486700, -486848, -486994?\n\"Answer: h**2 - 157*h - 486088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z + 41*z + 51*z**3 + 32*z - 2 - 13*z**3.\nAnswer: 38*z**3 + 133*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(33\/11*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858843 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -16, 6, 0.06, 1\/7, 7 in descending order.\nAnswer: 7, 6, 0.5, 1\/7, 0.06, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 17. Suppose 5*g = -3*a + 20, -5*g = 5*a - j - 3. What is the remainder when 14 - (1 + (-2 - -3)) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 + 3*o - 3. Let d be 24\/(-14) + (-4)\/14. What is the smallest common multiple of 1\/2 + (-13)\/d and s(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 68. Suppose -4*k - 3*v = -23, 2*k + 5*v - 3*v - 12 = m. Solve 4*r + 4 = 4*i, 0 = k*r - 4*i + 7 - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*v + i, -63 + 51 = -4*v - 4*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 20*p + 4. Let b be u(5). Let a(r) = -r**2 - 29*r - 78. Let w be a(b). What is the greatest common factor of 36 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30207, 30370, 30533, 30696, 30859, 31022?\n\"Answer: 163*i + 30044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 5) to base 2\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.42 + -118.58. Let y = p - -123. Let s be (3\/(-12))\/((-1)\/(-2)). Which is the nearest to -0.1? (a) s (b) y (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 - 218. Which is the nearest to 2\/3? (a) u (b) -0.1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*(611\/26 - 24).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:00 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 1.029?\nAnswer: 1.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**3 + 5*v**2 + 24. Let o(d) = -11*d**3 - 5*d**2 + d - 25. Let a(n) = -5*c(n) - 4*o(n). Let f be a(-5). Solve f = 4*z - 1 + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-35))**(-20\/13)\/(f**(-17\/2))**(-4\/3) assuming f is positive.\nAnswer: f**(1658\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1471?\nAnswer: -5\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3502044, 3502051, 3502058, 3502065, 3502072, 3502079?\nAnswer: 3502086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 23992150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -183*z + 1649. Let n be q(9). Solve -14*c = -n*c - 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 11, -20, 0.20549?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:50 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j = -53 - 133 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/(-13)*1\/3)\/((-189)\/567).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 92*w + 38 - 23.\nAnswer: 92*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -252813176 to the nearest one million.\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - f**2)*(0*f**3 - f**3 + 0*f**3) - 6*f**5 + 14*f**5 + 21*f**5 - 3*f**5 + 2*f**5 - 3*f + 2*f**5.\nAnswer: 31*f**5 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(19) - (2 + sqrt(95)\/sqrt(5)))**2 - sqrt(19))*2.\nAnswer: -8 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z. Suppose y + 1 - 7 = z. Let k be 6 - 100\/20 - (1 - 3). Solve 6 = -3*l - k*b + 4*b, 0 = 2*b + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -4605?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920152000.\nAnswer: 2, 3, 5, 281, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264419, 1057691, 2379811, 4230779?\nAnswer: 6610595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose -2*x + l*k = k + 121997, -304988 = 5*x + 4*k. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -95*c**6\/6 - 2*c**5\/5 - 23*c**3\/3 - 27*c**2\/2 + c - 1504. What is the third derivative of l(p) wrt p?\nAnswer: -5700*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -876 and -875 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 9ab7b2?\nAnswer: -9ab7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:58 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*h - 631*h = 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a + 61*a + 17767 = o, 3*o + 3*a - 53337 = 0. List the prime factors of o.\nAnswer: 2, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610 + 874. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (-3*sqrt(190)*-6 + sqrt(190))) + 5*sqrt(190)*3)\/((sqrt(10) + sqrt(10)*-3)*-4 + (sqrt(90)\/(sqrt(9)*4) - sqrt(10))))**2.\nAnswer: 2736\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 + 3*n)*(-4 - 2*n + 4) + (-79*n - 441 + 441)*(-9 - 2*n + 9).\nAnswer: 152*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15094 and 0.0972?\nAnswer: 1467.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 7, 15, 27, 43?\n\"Answer: 2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -227, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*o - 107*o + 327*o as q + x*o and give x.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/15793 or -16?\nAnswer: 15\/15793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -8) + (-2 - (7 - 6)) + 10 + -41.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 79*t**2 + 3*t + 15. Let u(l) = 2054*l**2 + 79*l + 395. Let q(o) = -79*d(o) + 3*u(o). Let g(y) = 26*y. What is q(g(p))?\nAnswer: -53404*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 232231232110?\nAnswer: -232231232033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1\/4 (c) 0.5 (d) 2\/13 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 + 2) - (-20 - (-16 - -6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 76, 61, 46, 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6418713 + -4?\nAnswer: -6418717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21. Solve -3*h + 8*h = -5*y - 5, -4*y + 3*h = -l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/1227 and -149\/3170568.\nAnswer: 3170568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - l - 1. Let z be c(-1). Let p = 7 + -4. Let m = 26 + -30. Sort m, z, p.\nAnswer: m, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 917*k - 915*k, -4*v - 3*k = -2631. Calculate the remainder when v is divided by 315.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 47. Let w be a(-8). Let l(b) = 7*b**3 + b**2 + 6*b + 6. Let s(p) = -20*p**3 - 3*p**2 - 17*p - 17. Give w*l(u) + 6*s(u).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1518776651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 4 - (42\/12 - -2). Suppose -136 - 39 = 5*y. Let x = y - -317\/9. What is the biggest value in x, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185390 rounded to the nearest one thousand?\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -16.928. Let q = r + -0.131. Let l = 0.0590086 + q. What is l rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*b + a, 5217*b - 30*a + 56 = 5219*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10737 is divided by 894.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 36*k**2 + 1066*k - 38446. Determine a(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 48. Let x be q(6). Solve -14*z + 2*z + x = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 times -0.04339\nAnswer: -9.63258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, 1, 345, -81, -16.\nAnswer: -81, -16, -3, 1, 2, 5, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 9*y**4 + 18*y**3 - 4*y**2 - 24*y.\nAnswer: y*(y - 1)*(y + 2)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 t when three letters picked without replacement from zdwtbyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-350)\/100*2\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/12 + 11*a**3\/6 + 2*a**2. Let z be r(8). Let s(x) = x**2 + 3*x - 6. Give s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1939 and 0.249.\nAnswer: -1938.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 28 - 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**2 + 306629*o - 255520 = 0. Calculate o.\nAnswer: 5\/6, 51104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 60175729\nAnswer: 60175729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t - 110. Suppose 0 = -0*u + 2*u - 10. What is the remainder when u is divided by m(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 11*i**2 + 13*i - 28. What is the tens digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/(-72) - 5\/(-2). Let v = -2221\/9 - -247. Sort 0.1, v, -4, c in descending order.\nAnswer: c, v, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1.37?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*o = -6. Suppose -4*n + 258 = o*n. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 86581519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((9288\/2496)\/(-129))\/(1\/(-2)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 40 + 26 = 0. Suppose 2*g - 3*q - m = 0, -2*g + 8 = -3*q + 7*q. Solve -g*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 27*h**3 - 5*h**3 + (-2*h**2 - 2*h**2 + 2*h**2)*(-6 + 3*h + 6) + 2*h**3 - 2*h + 2*h - 2 + 2 - 2*h**3 - 2*h**3 + 1 - 1.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 124 = 276. Calculate the highest common divisor of 140 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 4*z**3\/3 - 4*z**2 - 12*z + 4. Let p(o) = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381\/508*(-2548)\/39.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 + 1. Let k(l) = 6*l**4 + l - 4. Let n(c) = 4*a(c) + k(c). Find the second derivative of n(u) wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*-2 - 4. Put c, 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 1. Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141770 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 4*a**2 - 2*a**2 + (a**2 + 4*a - 4*a)*(-2 - 3 + 2).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249\/52 - 72\/13. Let h = 1\/30 + -7\/10. What is the nearest to -0.1 in h, m, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347540 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1630*g**3 + 4*g**2 + 4. Let b(x) = -1628*x**3 + 3*x**2 + 3. Calculate -4*b(f) + 3*q(f).\nAnswer: 1622*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + g - 5*g + 5*g**2 - 6 - g**2. Is m(8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3457000 to the nearest 10000.\nAnswer: -3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 6. Let y(b) = b + 1. Give a(q) + 2*y(q).\nAnswer: 4*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 + 5. Is -0.2 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**5\/13 - 10776*c**4\/13 - 107966*c**3\/13 + 32108*c**2\/13 + 1511832*c\/13 - 2116016\/13 = 0.\nAnswer: -7, 2, 5398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 13*c - 4. Let u be f(13). Let g(p) = p**3 + 4*p**2 + p. What is g(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 14*i**2 + i**3 - 5*i**3 - 8*i - 3*i**4 + 0*i**4.\nAnswer: -2*i*(i - 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 705238074 and 10.\nAnswer: 3526190370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from kkkkkkpkpkpkkwupu?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-32)*k**(-40)*k**24*k*k\/k**(-17)*k assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -47*t + 1. Let q(m) = m**2 - 32*m + 11. Let x be q(11). Let n be 62\/(-22) - (-40)\/x. What are the prime factors of i(n)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -1 - (-4920)\/(-126). Let p = 6583\/210 + n. Calculate the common denominator of p and -79\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974 divided by 658.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(w - 2*w + 0*w) + (-3 - 2 + 3)*(-w + 2*w + 0*w) - w + 1 - 1 + 2*w + w - w + 12 - 12 - 17*w as v + j*w and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*y + 4*y - 10, 2*g + y - 5 = 0. Solve g = k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -3, 0, -9, -36, -87?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 158708?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*u + 85248 = 90*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 821 and 39481069?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26481 and 52143.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2392.6002 hours?\nAnswer: 99.691675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1 (c) 2987165 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 16\/7, -0.2, 0?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 106?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, k: 5, b: 1, f: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 292047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757308394 to the nearest integer?\nAnswer: 41920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + 2.3. Which is the closest to 1? (a) 0.3 (b) -1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*a = 16, -2*y + 2 = 55*a - 56*a. Does 7 divide 15\/(-20)*y*2 - -244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2325\/1705)\/(1\/11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a93 (base 13) to base 15.\nAnswer: 80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 - 238. Let w(m) be the first derivative of 0*m**2 + 2\/55*m**5 + 0*m + 1\/33*m**6 - 2\/33*m**3 - 1\/22*m**u - 1. Factor w(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-54) - ((-16)\/14 + 5060\/3080)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.1, 0.018, 1, 10\/3, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 2. Let l = 3 + -2. Let r(m) = -m**2 - 92*m - 2119. Let z be r(-46). Let k(h) be the second derivative of h**3\/6 + h. Give l*j(f) + z*k(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65629 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 4 + 4 + 179*x**2 - 3*x + 7 - 180*x**2 - 14*x**3 to q*x**2 + i + d*x**3 + s*x and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = -224 - 568. Calculate the lowest common multiple of 92 and q.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71516 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + f = 6, -13 = 9*x - 10*x - 4*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/74507 and 36\/11.\nAnswer: 819577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 22040?\nAnswer: -2202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -28 + 42 - 11\/((-11)\/(-9)). Solve -52 = -h*z - 72 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 3*b**2 + 27*b + 12. Let u be j(7). Solve -2*d - u*d = -14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 893, -74, -1095, -2194, -3395, -4722, -6199, -7850?\nAnswer: -9699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6, 0.7, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1189, 7502, 24641, 58018, 113045, 195134?\nAnswer: 309697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8356*k + 266634. Determine q(-32).\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124922 is divided by 24983.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -0.3, 0, 1\/13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000000111210 (base 3) in base 12?\nAnswer: 433386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 - -4?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, o: 1, u: 2, k: 2, r: 1}. Give prob of sequence rkk.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/2088*(-432)\/(-822)?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -38, 21, 22000 in descending order.\nAnswer: 22000, 21, 4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 263 and -5?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Let y(a) be the third derivative of -a**4\/24 + a**3\/6 + a**2. Determine o(v) - 2*y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:17 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, 26, 86, 192, 356, 590?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1668\/209 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2.5, 0.3557, 15, -2\/9?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18504 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21038056 divided by 13\nAnswer: 1618312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -18) + -32 + 13 + -12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 173858682*l + 2518903442231427 = 0.\nAnswer: 28976447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1*9 - 3. Let k be (-6)\/l*10\/(-3). What is the tens digit of (-3*k)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 29 = 7. Let s be 1\/1*(-2669)\/17. Let m = -63 - s. What is the remainder when m is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -0.02533.\nAnswer: 3.02533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 + 428 = -11*p. Let s = 91 + p. Let m be (-1143)\/(-12) - (3\/(-4))\/s. Are m and 96 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473000 a multiple of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/10)\/(-6))\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23877052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -8.9.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 7*l**2 + 5*l. Let f(n) = -5*n**3 - 11*n**2 + 8*n. Let b(h) = -8*c(h) + 5*f(h). Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74754 > 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/9, 2.3, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.56 + -3.562. Which is the biggest value? (a) -1 (b) -0.5 (c) -1\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.709 - 7.70918008. What is m rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*q**2 - 23*q**2 + 109*q**2 - 3160*q + 3160*q.\nAnswer: -358*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/((-8)\/224). Suppose -7*i + m = -119. List the prime factors of 1422\/i - 4\/(-14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -3.1. Let s = 1 - g. Let f = -14 + 14.5. Which is the closest to -0.2? (a) -0.4 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 4780*x\/7 + 2143072\/7.\nAnswer: -2*(x - 2776)*(x + 386)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 6. Suppose 2*w = 5*h + 848 - 880, 0 = -2*h + 12. Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5*x + 236*a**4*x - 23*a**2*x + a*x + 2*x wrt a.\nAnswer: -60*a**2*x + 5664*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -27532?\nAnswer: 27516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 23984.\nAnswer: 263824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342140 divided by -4223690?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781 a factor of 646089997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.073354 + -0.0453563. Let k = 0.198 + -0.17. Let d = n - k. What is d rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080826 to the power of 1\/2, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -464.3 + 448. Let k = m - -16.2. What is the second smallest value in k, -0.08, 2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**4*g)\/(g*g*g**(-2)\/g))\/(g*g\/(g*g**(1\/4))*g*g*g*g)**31)**(-19\/5))**(-1\/8) assuming g is positive.\nAnswer: g**(-2147\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -a. Let w(d) be the first derivative of 0*d**3 + 1 + 0*d**2 - 1\/4*d**4 - a*d. What is the first derivative of w(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 8*a - 6. Let v = -23713 + 23721. Give s(v).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/33, 3, -0.1, -25.\nAnswer: -25, -0.1, 2\/33, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q + 18. Is 2\/q - (-128)\/6 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q + 2. Let n = -18 + 19. Is 17 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10893344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2155 and 28298?\nAnswer: 60982190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -0.56. Let x = 4 + -2.8. Let y = 1 - x. Which is the biggest value? (a) -3 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 101\/242.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 243771.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2404364 and 1.\nAnswer: -2404363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2 = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 306. What is the greatest common factor of o and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3551827 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.4228 millennia in centuries?\nAnswer: 234.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 7*w**2 - 5*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8388569 millilitres to litres.\nAnswer: 0.0008388569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = 5*p - 13*l + 5, -3*p = -3*l - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3 = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 523632 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10637, 42500, 95605, 169952, 265541?\nAnswer: 382372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 - 8*d**2 + 13*d - 1009. Let g(j) = -6*j**3 - 18*j**2 + 25*j - 2019. Let y(q) = -4*g(q) + 9*v(q). Differentiate y(b) with respect to b.\nAnswer: -9*b**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 566257 and -1653428131.\nAnswer: -1652861874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + 20001011?\nAnswer: 12220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:19 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -95*y**2 + 369*y + 53. Give k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (5 + -1)) + 24 + -18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 6. Let v(s) = -2 - 17*s + 11*s - s**c + 0. Does 3 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 4*g - 6*g**4 + 4*g**3 - 4*g**3 + 4*g**4 + 2*g**2.\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 17 = -2*b - 43, 5*g - 3*b - 31 = 0. Let m = 152 + -152. Solve 5*l + 0*r + 21 = r, m = 4*l - 3*r + g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.73717ml in litres?\nAnswer: 0.09673717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Let c be (8\/(-114)*-159)\/((-714)\/21). Let t = c + 4\/19. Put 5, t, r in decreasing order.\nAnswer: 5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -917 + 534. Let l = z - -382.5. What is the smallest value in -7, 1\/6, l, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuf. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 28. Determine o(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let c(o) = 3. Suppose -3*y - 8 - 3 = -2*i, 14 = 2*y + 4*i. Calculate y*c(m) + 2*v(m).\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02640895 + -0.0264. Round v to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(2\/(-2)). What is the tens digit of -4 - x - -3 - -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9269, 37230, 83885, 149234, 233277, 336014?\nAnswer: 457445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*j**4 + 22838*j**3 - 9086126*j wrt j.\nAnswer: -264*j**2 + 137028*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1855*p + 1853*p + 224 = 0. Calculate the smallest common multiple of 272 and p.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucwmcttimuct. What is prob of sequence ctm?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 15\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3259008 divided by -30176.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51212443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.15, 206, -4, 4, -5, -321?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-150)\/(-6))\/5*12\/75. Which is the fourth smallest value? (a) 0.1 (b) w (c) -0.7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d + 2889585 = 461993. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/11 - 8328*s\/11 - 17338896\/11.\nAnswer: -(s + 4164)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -1 (c) 950 (d) -0.18 (e) -0.4 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*s - 3*r, 2 - 1 = -r. What is the common denominator of s\/(-15) + 2\/(-4) and 99\/(-20) - (0 - 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 31*j**2 - 15*j + 17. Let q be h(-16). What are the prime factors of q*(0\/2)\/(-2) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3, 1, -1\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**3*w**3 - 29*i**3*w**2 - 8*i**2*w**3 + 4*i**2*w**2 + 2*i*w**3 wrt i.\nAnswer: -30*w**3 - 174*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 209?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -2.6. Suppose 107*f - 117*f = 20. Put f, z, 0 in descending order.\nAnswer: 0, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 63*w**6\/220 - 96*w**5\/55 - 149*w**4\/44 - 26*w**3\/11 + 10*w**2 - 2. Suppose i(o) = 0. Calculate o.\nAnswer: -1\/3, 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671600253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/192 and 67\/25196.\nAnswer: 1209408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 316\/3*z**3 + 0 - 56*z**2 + 4\/3*z**5 - 320\/3*z + 56*z**4 = 0. Calculate z.\nAnswer: -40, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2912 = 4*x + 4*q, 0 = 4*x + x + 4*q - 3642. Suppose -3*w + w + x = 0. Does 13 divide w\/15 + 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 7:05 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55350 is divided by 134.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5\/7, 2\/3, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 - 6*q + 5. Let s be m(3). Let z be (-3)\/s + (-36)\/15. Let u(x) be the third derivative of -x**5\/30 - x**4\/8 + 10*x**2. Determine u(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7769 + 7769. Solve j = -5*u + 20, g - 115 + 131 = 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2050*b + 372 = 2112*b. Suppose -2*o = o - 1143. Suppose -b*k + o = -3*k. What are the prime factors of k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766 + 102 = -163*s + 151 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/((-20)\/(-32)*1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - -3. Find the third derivative of -156*l**6 - q*l**2 - 13*l**6 + 2*l**4 - 2*l**4 + 14*l**6 wrt l.\nAnswer: -18600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.2 - 84. What is the second smallest value in 2, 1, c, -0.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, -52, -191, -426, -781?\n\"Answer: -4*r**3 - 12*r**2 - 3*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(4 + -8 - -110). Let j = v - -109. Solve 0 = -3*i + d - 0*d + 10, 3*i + j*d = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 437, 438, 439?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (162\/(-42) - (-30)\/35)*-1. Solve 0 = l + f*h - 14, -4*h = l + 4*l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o**2 + 11*o + 20. Let m(d) = 5*d**2 + 4*d + 7. Give 11*m(v) - 4*u(v).\nAnswer: -v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-16)\/760)\/5*(-200)\/(-48)*-3?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -52, -116, 1, -41, -1 in decreasing order.\nAnswer: 1, -1, -7, -41, -52, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(165\/550).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 15*r + 2. Let s be o(-14). Let m = 10 - s. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + 6. Is 10\/x - (-113)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -72. Suppose -f = -3*f - m. Let j be (f\/4)\/(-3 - -1). Is 4 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 22. Let n be (-3)\/y - (-4 - -3). What is the smallest value in n, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*w - v + 75, -w - 4*v + 24 = 0. Let o = 45 - w. Let a(g) = g**2 - 16*g + 38. Let j be a(o). What is the closest to 2 in -5, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -18\/233, 1, 5\/17, 2\/13?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 130518\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-15)*(-4)\/(32\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -2*o - 2*f + 383, -4*o + 4*f + 1516 = 0. Let w = -212 + o. 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 (r**(7\/5)*(((((r\/(r**(2\/11)\/r))\/r)\/r)\/r)\/r)\/r)**(8\/7)*(r\/(r**0*r*r)*r)**(-36)\/(r**0)**4 assuming r is positive.\nAnswer: r**(-112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r + 67 - 69 - 40*r**3 + 14*r**4 - 6*r - 6*r + 36*r**2.\nAnswer: 2*(r - 1)**3*(7*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -311?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*c + 36 = 20, -156 = -4*q - 39*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + -4 - 14 - (-2 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*sqrt(1300)*1)\/(sqrt(16)\/(sqrt(4) - (sqrt(100) + 1*sqrt(100)))))*6.\nAnswer: 30 + 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**18\/z*(z**(-5)*z)\/z*((z**(-39)\/z*z)\/z)\/(z*z*z**(-2\/51)) assuming z is positive.\nAnswer: z**(-1528\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5 + 3*p + p - 3*p. Let i be y(6). What is the tens digit of 65\/13*(6 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxnxnxxxx. Give prob of sequence nx.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -149*j**3 - 6*j**2 + 3*j + 376. Let g(z) = 299*z**3 + 14*z**2 - 7*z - 750. Let i(y) = -3*g(y) - 7*p(y). Find the first derivative of i(x) wrt x.\nAnswer: 438*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.114*-36\nAnswer: -4.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y + 2. What is the tens digit of ((-51)\/(-4))\/(y\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -73163361?\nAnswer: -73163354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/((-3)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k - 45. Suppose -13*n = -k*n - 172. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 67 = 4*a, -5*a + 85 = -5*v + 20. Let d be (-24)\/v + -2 - 8\/(-15). Factor 0*k + 0 - d*k**3 + 2\/15*k**2.\nAnswer: -2*k**2*(k - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r*r\/((r\/(r*r\/(r**0\/r)))\/r)*r*r)**38 assuming r is positive.\nAnswer: r**418","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4357503 - 4353877 = -74*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 + 2*g - 1. Let x be r(-5). Let j = 301 + -303. What is the units digit of 14\/(-5)*((x - 2) + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 - 11*x**5 - 4*x**3 + (-2*x**3 + 3*x**3 - 2*x**3 + (0*x + x - 2*x)*(-4*x**2 + 6*x**2 - 3*x**2) + 0 + x**3 + 0)*(x**2 + 0*x**2 - 3*x**2).\nAnswer: -13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 4*w**2 + 8*w - 14. Give x(-7).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 16 + -2 + 31 - -12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68338 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-1\/25) assuming w is positive.\nAnswer: w**(2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52 (b) -0.4 (c) 29.29 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04136*43.2\nAnswer: -1.786752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4264788 is divided by 52009.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:30 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -3. Let v = w + 28. Find the second derivative of 14*b**3 + 20*b**3 - 34*b**3 + b - v*b**4 wrt b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -5*g**2 - 2*g - 436. Let s(k) = -4*k. Determine s(l(p)).\nAnswer: 40*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 20 - 7 + 40 to k*i**2 + j*i**3 + u + s*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 15.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-46)*(-8 + 1 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/449? (a) -17 (b) -2 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umd when three letters picked without replacement from srvmmuddrudm?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 13, 2\/9 in increasing order.\nAnswer: -19, -5, 2\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*k - 6 = 7, -m + 2*k = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 14*i + 5. Let x(q) = -q**2 - 13*q + 5. Let v(h) = 4*a(h) - 5*x(h). Suppose -19*f = 174*f + 1737. Determine v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11634.94 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42529.38 and 6?\nAnswer: 42523.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -9. Suppose -9 = -3*u + 4*x, 0*u + 3*u = -4*x - w. Let l be 7\/(-4)*(u + -3). Calculate the highest common factor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s - 5*a - 1, 5*s - 2*a = -60. Suppose -w + 8 = 4*q - 7*q, 3*q = -5*w - 50. Let r = w - s. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18624 and 873.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*i - 28, -3*i = -6*i + 4*y - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 1044668*c**2\/3 - 136414314418*c\/3 + 545673972488\/3.\nAnswer: -2*(c - 4)*(c + 261169)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 271*z**2 - 225. Let f(w) = 678*w**2 - 540. Let g(o) = 5*f(o) - 12*v(o). Let p(x) = -6*x**2. What is g(p(n))?\nAnswer: 4968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*k)*(3*k - k**3 - 3*k) + k + k**4 + 8*k**4 + 0*k**4 to v*k + r*k**4 + j + y*k**3 + z*k**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 44*s. Let x(v) = 17*v**2. Calculate k(x(u)).\nAnswer: 1156*u**4 + 748*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by -336\nAnswer: -29\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*s**2 + 41*s**2 - 14*s + 5*s wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7869*c**2 + 39*c + 30. Let y(k) = -7869*k**2 + 33*k + 29. Let u(b) = -4*q(b) + 3*y(b). What is the second derivative of u(w) wrt w?\nAnswer: 15738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 9) to base 11\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 0*z**2 + 7*z**2 + 10*z**2 - 4*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 3*t - 2. Let s be 22\/(-4) - 5\/10. Let c = -2 - s. Let l(j) = -13*j**2 + 7*j - 5. Determine c*l(i) - 9*z(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3898124 times -39?\nAnswer: 152026836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -132, 6, -4, 36, 0 in increasing order.\nAnswer: -132, -4, 0, 3, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*b - 45 = 0, b + 3 = 3*s - 20. Let g = s - 2. Let t(l) = 2*l + 1. What is t(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(-3 - 1 + 3 + (1 + 2 - 1)*(2 - 2 + 1))*(-2 - 3 + 3)*(30*l - 270*l - 67*l) to the form s + z*l and give z.\nAnswer: 1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011001 + -1010011?\nAnswer: 1001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5358805031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.891 + -1.89. What is the third smallest value in n, 5, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from ouuuukqz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02546036323 rounded to 5 decimal places?\nAnswer: 0.02546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 0 + 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/20 + (-2)\/(-4). Let h be (3 - 13\/(-2)) + 50\/(-100). Let r be h - (3 + (2 - -8)). Sort 1\/3, r, a.\nAnswer: r, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -49, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*m + 180, 2*m - 3*z = -7*z + 96. Suppose -33 - 15 = 4*c. Let r(j) = -11*j - 19. Calculate the remainder when r(c) is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(16) - sqrt(32)\/sqrt(2)))\/(sqrt(1152)*1) + 1 + 6*sqrt(288))**2.\nAnswer: -31107 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*i - 34*i**4 + 27*i**3 + 22 + 31*i**4 + 172*i - 22 wrt i.\nAnswer: -36*i**2 + 162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 + 326)*2\/3. Calculate the greatest common divisor of r and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45860 - -66223. What are the prime factors of n?\nAnswer: 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 - 9*n + 16. Let b be p(7). Suppose -4*h = 246 - 98. Let s be (b - 1)*(-2 - h). Calculate the highest common factor of 280 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 5*p + 7. Let l be 5\/((-10)\/(-12)) - -1. Determine d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400400491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*s + 5*s - 5*o, 5*s - 10 = -4*o. Let q be (-3 - 307855 - 3) + s. Let r = q + -180137. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62517 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*f - 15 = 0, -5*z + 753*f = 751*f + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2052 - 2054. Sort c, 3, -213 in descending order.\nAnswer: 3, c, -213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2520 divided by 60\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 12 - 4 = 0. Let u(q) = -q**3 + 2 + 3*q**2 - 4*q**t + 2 + 2*q. What are the prime factors of u(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6 - -7. Let m = -0.32 - -0.42. What is the second biggest value in -0.2, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 937*t**5 - 20*t**4 + 2*t**3 + 2*t**2 - 12*t + 623.\nAnswer: 56220*t**2 - 480*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and 38\/567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**4 - 3*t**3 + 4*t**3 + ((-13*t + 0*t - 17*t)*(14*t - 4*t - 7*t) + (-2*t**2 - 2*t**2 + 2*t**2)*(0 - 2 + 0))*(-3*t**2 - t + t).\nAnswer: 256*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12195\/(-9485))\/((-6)\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315787426 to the power of 1\/2, to the nearest integer?\nAnswer: 36274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1897.57 - -1939.5729. Let j = -42 + i. Round j to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12880\/784 + ((-24)\/(-28) - 20\/70)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1325 + 781. Is (-5 - t) + -3 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/72*(-3)\/(-21)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g. Let n(i) = -i - 2*i**2 - 1 + g + i. Let d(t) = -t**4 - 7*t**2 - 3. Let c(l) = 2*d(l) - 7*n(l). What is the derivative of c(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s + 897. Let b be r(-50). Is -1104 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (3 + 2 + -6 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76429091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -272*r + 9127. What is k(34)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -604673 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.47526 and 1.3.\nAnswer: -16.17526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*y = 32, 3*y = -4*k - 2*y - 8. Suppose -k*f - 5*g + 205 = 2*f, 4*f - 5*g = 146. Is f a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 1 = -4*x - 12*y - 18*y, -3*y = -11*x + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5172 + 5172.2. Which is the biggest value? (a) 2 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -44, -142 in descending order.\nAnswer: -29, -44, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2140, -5 in decreasing order.\nAnswer: 2140, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -552.54 and 27492.\nAnswer: -15190429.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 take away -0.1?\nAnswer: 141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -23.2. Let q = -19.653 - -20.51. Let c = q - b. Round c to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 30 = -3*l, -15*p - 15 = -3*l - 11*p. Solve 5*y - 11 = -9*c + 5*c, 2*y = 3*c + l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 6675 (c) 1.46 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -48, 0 in ascending order.\nAnswer: -48, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-6 + 2 - 1). Let t be -1*(-33 + -4)*1. Solve -4*f - t = f + 4*m, m = d*f + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - t - 110 - 19 = 0, -4*t - 16 = 0. Suppose 5*s - 43 = -d, h = 4*s + s - 5*d. Solve -s = 5*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.623 - 0.51. Let c = 0.109 - 0.06. Let n = c - x. What is n rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 0, -4, 4, 5, -5 in ascending order.\nAnswer: -5, -4, 0, 4, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -29*p**6\/720 - 13*p**4\/12 - 13*p. Let n(m) be the third derivative of q(m). Let d(u) = -u. What is n(d(y))?\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 8*h - 9. Let g(a) = 55 - 77 - 5*a + 12*a + 2*a**2 + 14. Let u be 4\/(-6) + 40\/6. Calculate u*m(f) - 7*g(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1172 divide 2379446580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 782.2 + -782. Let o = 73\/4 - 19. Sort o, -3, -2, y in descending order.\nAnswer: y, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc + -16957b?\nAnswer: -169679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 7, i: 1}. What is prob of sequence fiv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6086*h + 6103*h - 61104409 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -461012\/5 - -92204. Suppose 0*h + 0 + 0*h**2 + i*h**3 - 2\/5*h**5 + 6\/5*h**4 = 0. What is h?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -3*m, -142*w = -143*w + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 2126*g + 1. Let l(w) = 123*w + 151*w - 12*w - 31*w. Let m(s) = -29*s. Let u(t) = -4*l(t) - 33*m(t). Give u(f(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/57, -1\/8, -2\/5, -1\/5?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*b - 3*b + 104 = 0, b = -3*r + 306. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*p - 270*p + 372 - 369.\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3343 - 1443555?\nAnswer: -1450231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 16*y**3 + 6 + 2 + 2*y**4 - 3 + 16*y**3 to g*y + j*y**4 + a*y**3 + t*y**2 + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o. Let q(b) = -8*b**2 - 1521. Determine u(q(y)).\nAnswer: 32*y**2 + 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3dd8 (base 15) to base 16\nAnswer: 33c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 132*n + 3. Let r(q) be the second derivative of -q**4\/6 + 6*q + 6. Give r(v(s)).\nAnswer: -34848*s**2 - 1584*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863031469 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 331 and 687 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*q = -20, -a + 5*a + 2*q = -30. Let y be (-17 - -9 - -7)\/(a\/3). Let o = -0.05 - 11.95. What is the closest to -0.1 in 2, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 2 (b) 2\/5 (c) 1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 13*g = -16. Let w(z) = 4*z**3 + 15*z**2 - 8*z + 16. Let r(s) = 5*s**3 + 15*s**2 - 7*s + 17. Let c(f) = 3*r(f) - 4*w(f). Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 1159 + 281 = 0. Calculate the highest common factor of 3792 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1269 (b) 0.1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4936251.\nAnswer: 3, 1645417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6930750*n**4 - 7848560*n?\nAnswer: 83169000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 27307 - 98347. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 - n**4)*(-4*n + n + 4*n) + (30*n**3 - 144*n**3 - 68*n**3)*(-4 - 8*n**2 + 4).\nAnswer: 1455*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3345741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 13128 and 1.5.\nAnswer: 13129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiixiixiiiii. What is prob of sequence ix?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 11. Suppose -19 = -3*x + 11. Let p be z(x). Suppose -5*j = -4*j - p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**5 - 3*y**5 + 2*y**5)*(-1 + 3 + 1 + (1 + 1 - 3)*(1 - 2 + 0) - 3 - 2 + 6).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 + -8.7. Which is the closest to 0.1? (a) r (b) -0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y**(-2\/15)*y*y))*(y*y\/(y*y*y\/(y**(5\/2)*y)))\/y)\/(y**(-1))**14*(((y*y\/y**(5\/3))\/y)\/(y**(-1)\/y))**26 assuming y is positive.\nAnswer: y**(1531\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 6*t + 6. Let d be b(-4). Let p = 24 - d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70, -53, -10, 71, 202, 395, 662?\n\"Answer: 2*n**3 + n**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskssk. What is prob of picking 1 s and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4438 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325470 is divided by 325455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + 1 + sqrt(1088))**2 + -1 + 0 + sqrt(1088) + sqrt(1088)).\nAnswer: 48*sqrt(17) + 3261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = -4*k, 0*k - 4 = 4*k. Suppose -z - u*z - 156 = 0. Let l = 93 + z. What is the greatest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 3 + 8*o - 9*o**2 - o**2 + 8*o. Let x be n(5). Solve 0 = -f + x*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -584\/7 < -0.15272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 9*c - u + 42 + 15, 0 = -2*c + 5*u - 80 - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 17 = -2*z - 2*d, 3*z + 4*d = 5. Is (-15978)\/(-30) - z\/5 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.67317 to the nearest integer.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(33)\/(sqrt(11)*1) + 6*((sqrt(3) - 5*sqrt(3)*-1) + sqrt(3)) + -3)**2.\nAnswer: -282*sqrt(3) + 6636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9315 = 12*z + 3327. What is the remainder when z is divided by 168?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605718 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 19 + 25. Solve -a*m + 2 = -3*n, -2*n + n + m = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**3 - 19*w**2 - 8*w + 7. Let l(y) = 23*y**3 + 31*y**2 + 17*y - 15. Let i(k) = -5*f(k) - 3*l(k). Determine i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724556111?\nAnswer: 724556111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*o**2 - 438*o + 162 = 0. What is o?\nAnswer: 3\/8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 2*y + 1. Let m = 2 - 3. Let q(i) = -i - 1. Let r(c) = m*q(c) - w(c). What is the second derivative of r(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from bxqqdqtqxqxqd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5332062 and 163060?\nAnswer: 53320620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 326.73 + -326.671615. Round y to four decimal places.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(117) + sqrt(117)) + sqrt(117))*-6)\/((sqrt(9) - 2*(sqrt(9) - sqrt(27)\/sqrt(3))) + (sqrt(9) - sqrt(108)\/sqrt(48))).\nAnswer: -52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827263 is divided by 148.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116893 = -42*v + 860867. What is the highest common factor of 291 and v?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16545*a = 16544*a - 5*x - 21, 0 = 3*a - 4*x - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0, -167, -20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + l - 16. What is b(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + -5 + sqrt(3))**2 + sqrt(15)\/(sqrt(5)*4) - (3*sqrt(54))\/(sqrt(20)\/(2*sqrt(10))).\nAnswer: -151*sqrt(3)\/4 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**4 - 1527*y**3 + 299959*y**2 wrt y.\nAnswer: 144*y - 9162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 1.8, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*g**2*u**2*y + 38*g**2*u**2 - 8*u**2 with respect to y.\nAnswer: 102*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1783, 1727, 1659, 1573, 1463, 1323?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*x = 5*u + 18, 3*x + 15 = -4*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 3*z + 12 = 0, 4*z = 20. Suppose c = v*c - 70. Suppose -6*u - 4*u + 70 = 0. What is the highest common factor of c and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 22515\/4372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-23))\/(d**(1\/10)*d)*d**(2\/3)\/((d\/(d*d\/(d\/(d*d\/(d**(-35)*d))*d)*d*d)*d)\/d))**(-3\/5) assuming d is positive.\nAnswer: d**(-1817\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 1, q: 2, f: 1}. Give prob of picking 3 e and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + m**3 + 49*m**4 - 25*m**4 - 22*m**4 + m + 4 in the form h*m**4 + o*m + n*m**3 + v + i*m**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**7*g*g*g\/(g**(-1\/4)*g))\/(((g*g\/g**(-4)*g)\/g)\/(g**6*g)))**(-1\/13))**32 assuming g is positive.\nAnswer: g**(-328\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 9. Let k be r(9). Suppose -4*q + q + 30 = k. Let h = 46 + -24. Calculate the smallest common multiple of h and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948421121.\nAnswer: 948421121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*w + 5*b + 207, 5*w - b + 688 = 0. Let a = 139 + w. Find the first derivative of -68*g**2 - 10 + 30*g**a - 4*g**2 wrt g.\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6556503 and 3574?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 2. Let x(u) = 2*u - 6. Let k be x(5). Let h = k - 4. Suppose 3*t + 0*t - 9 = h. Give z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 + 197 - 417 + 163)*(0*v - 4*v + 6*v).\nAnswer: 192*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9018?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1970, 1920, 1828, 1688, 1494, 1240, 920, 528?\n\"Answer: -q**3 - 15*q**2 + 2*q + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 6*s + 57. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2*-6 + ((sqrt(66)*-1 - sqrt(66) - sqrt(66)) + sqrt(66))*-3)\/(-1*(sqrt(150) + (sqrt(150) - -4*sqrt(150)))))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13276*f + 29. Let k(l) = 3*l. Calculate p(k(d)).\nAnswer: 39828*d + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-10) - -2*1\/(-4). Let r(i) = 2 + 25 - 2*i + k*i. Let g be r(11). Solve -g = -w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 - 9*f**2 - 17*f - 66. Factor u(s).\nAnswer: -(s + 1)*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/3*(3*-34)\/(-25 + 16).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -446*u**4 - 5*u**3 + 137*u**2 - u + 20. Let g(i) = 2*i**4 - i**3 + 4. Let v(q) = -5*g(q) + s(q). Find the third derivative of v(y) wrt y.\nAnswer: -10944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n + 4*k - 12, 0 = -2*n + 4*k + 16. Let o be -3 - (-3 - 1) - n\/(-2). Sort -5, o, 1, 7 in increasing order.\nAnswer: -5, 1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -93. Sort 2\/19, -5, 0.5, r.\nAnswer: -5, 2\/19, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 - 131. List the prime factors of v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -17\/48*b**4 - 2*b + 73 - 1\/120*b**6 - 17\/24*b**3 - 7\/80*b**5 - 3\/4*b**2. Solve t(x) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffiblflii. Give prob of picking 1 i, 1 b, and 1 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g**4\/4 + 20345*g**3\/4 - 31455*g**2\/2 - 82505*g - 61710 = 0. What is g?\nAnswer: -4114\/15, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6123 or 6062?\nAnswer: 6062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527449*c**2*v**2 - 12*c*v - 10732*v**2 wrt c?\nAnswer: -1054898*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 1. Let y be w(-4). Let i = y - 5. Let z = i - -2. Round z to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojodoojoojoojoddoy. Give prob of sequence oyd.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20967176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 greater than 1\/4106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c + 7. Determine y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101101010010100011101?\nAnswer: -101101010010100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 189 = c, 2*c + 133 + 65 = -4*q. Let l = q + 51. Calculate the remainder when 28 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10487659 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**7\/2520 - a**6\/240 + a**4\/4 - 2*a. Let t(b) be the third derivative of c(b). What is the second derivative of t(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let j be n(-1). Suppose 0 = 4*u + 4, u - 85 = -4*t - j*u. Let i = t + -21. What is the smallest common multiple of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.013 + 0.113. What is the third biggest value in j, 0.03, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6.959. Let u = -0.04118 + a. Round u to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 + 8*y - 5. Let o be w(7). Suppose 4*f - 16 = o*b + 2, 0 = 5*f - 4*b - 24. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4603130 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1119, 43, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5163 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/63)\/(4\/7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/c**26)\/c*c**0*c)\/(c**(-7\/2)*c\/(c**(-33)\/c)) assuming c is positive.\nAnswer: c**(-109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 10. Suppose g*f - f - 1020 = 0. Is f\/21 + (-12)\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2 - (-1 + -2)). Let t = -9 - -24. Suppose 0 = -6*s + j*s + t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*q + 212. Suppose 5*v = 5*w + q, 4*v - w = -4*w + 1. Suppose 30 = -3*m + 6*m. What is the least common multiple of m and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4706309.\nAnswer: 4706309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26751 and 1110?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pebpepppebppbbkbpp. What is prob of picking 2 k, 1 e, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.990801 to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 3*k + 0*k + 1 - 1 + k + (1 + 2 - 5)*(1 - 1 + 2*k) + 3*k - 3*k - 2*k - k + 0*k - k + (-5*k + 2*k - k)*(-2 + 0 + 4) + 136826*k + 2 - 2 - 105905*k.\nAnswer: 30905*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19947*f - 1734.\nAnswer: 19947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41)\/(-4 - (-9)\/2). Let u(k) = 6*k**2 + 3*k - 11. Let b be u(-5). Let r = n + b. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.39, -8.63, -0.4, 3?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266051 + 1?\nAnswer: -266050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 410. Let d = q + 3. Calculate the greatest common factor of d and 1445.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + 11 + -1 + -1) - -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43900906 and 2926?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1582*r = -2939*r - 150840 - 1769 - 195508 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3\/7 - 33324*a**2\/7 + 9917460*a - 9912700 = 0.\nAnswer: 1, 4165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r. Let g(m) = -m**2 + 5*m. Let h be 12 + -14 + (-14)\/(-2). Let s = -16 + 10. Let w(d) = h*p(d) + s*g(d). Let x(l) = 2*l. Give x(w(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3005 (c) -8\/5 (d) 0.2 (e) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + 2 + 10 - 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15318 - 15314. Solve -4*t + 6*t + 2 = -2*w, -z*w - 2 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512379245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -121531556?\nAnswer: 121531550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1392 and 51\/394?\nAnswer: 274224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/20 (b) 3 (c) -0.09 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 - 3639191901203?\nAnswer: -3639191901203.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3724\/2940)\/(1\/15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m. Suppose 3*z + 15 = -m*z. Let s(c) = 6*c + 8. Let n be s(-2). Is n at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -911, -230, -0.5.\nAnswer: -911, -230, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107047739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122042293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59478464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/12 + (-1)\/(-4). Suppose v = 43*i - 45*i. Let o(u) = -u + 2. Let h(n) = -n. Give i*o(q) + 2*h(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 1397*c + 46030. What is o(-430)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 + 11)*9)\/((-2)\/(-20)). Suppose -8*i = -2*i - f. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1043)\/(-105) + -12 + (-4 - -6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:20 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 39*n - 355. What is t(22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111000?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 + 2. Let a(g) = -1599*g. Let z(w) = -5*w. Let u(s) = a(s) - 312*z(s). Determine t(u(d)).\nAnswer: 10647*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1049964 by -349988.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 944 - 944 - 60*n + 4*n**3 + 19*n**2 wrt n?\nAnswer: 24*n + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v - 158*v - 109*v.\nAnswer: -239*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 189 + 2131*n**4 - n - 2129*n**4 + 1 + n**3 in the form t*n + c*n**4 + j*n**2 + x + g*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqiatiiki. Give prob of picking 2 t and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -301220166?\nAnswer: -301220166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-14 + 34) - (2 + -2)) + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 22. What is the nearest to 0.4 in h, 2\/17, -1\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -225, -126, 25, 234, 507?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/(g*g*g*g\/g**(6\/11)*g))*g*g)\/g))**(25\/2)*(g*g*g**(-13)*g)**(-6\/5) assuming g is positive.\nAnswer: g**(-961\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758 by -24696.\nAnswer: -379\/12348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10123 (base 4) to base 8\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpjooooppjjppo. Give prob of picking 1 p and 3 j.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 9*u - 18. Let g be b(6). Solve g = 6*y - 2*y + 5*a - 27, y = a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-108))\/(((-1)\/(-4))\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69855848299 - 61?\nAnswer: -69855848360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 1. Let x be n(-1). Suppose -x*t - 6 + 1 = 0. Let k be 0 - t*(3 - 4). Which is the closest to k? (a) 0.3 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - 16\/40. Suppose n*h = -3*h, 0 = -g + 4*h + 447. Suppose k + k - g = -3*t, 596 = 4*t + k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 + 0 + 0)*(-73 + 262 - 529*c - 189) in the form s*c + q*c**2 + p + l*c**3 and give l.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - a52d?\nAnswer: -a532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*f = -16, 0 = 3*f - 2 - 13. Let j be c + 3 - (41 + 1). Is (-2)\/8 + (-7410)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*q - n + 277, -3*n = q - 94. Let h = q - 107. Suppose -2*w + 4*a = -4, 5*w - h*w + 5*a + 5 = 0. Solve w*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1043 and 93\/70328.\nAnswer: 492296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -994025*t**3 - 29*t**2 - 94*t + 34.\nAnswer: -5964150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:30 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + 0*n)*(2*n**4 - n**4 + n**4) - 58*n**5 - 111*n**5 + 94*n**5 + (0*n**5 - 4*n**5 + 2*n**5)*(-1 + 1 + 2).\nAnswer: -83*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 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: Which is the fourth biggest value? (a) 3 (b) -0.2 (c) 181 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 3, y: 6, a: 2}. What is prob of sequence eea?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4 + 0 + 5 - z. Let b be m(7). Let f(c) = -4*c + 3. Let a be f(b). Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*f + 12 - 3 = 0, -i = -2*f + 1. Find the second derivative of -11*j + 18*j**i - 23*j + 41*j wrt j.\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -334*f*q**2 + 393*f wrt q.\nAnswer: -668*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/7 + 5*w**4\/7 - w**3 - 5*w**2\/7 + 6*w\/7.\nAnswer: w*(w - 1)**2*(w + 1)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23*p**2. Let u(c) = 7*c**2 + 3. Let h(t) be the first derivative of 7*t**3\/3 + 4*t + 72. Let s(r) = 3*h(r) - 4*u(r). Calculate s(o(v)).\nAnswer: -3703*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 2*j**2 - j**2 + 3*j**2 + 1 + 4*j**3. What is the remainder when 6 is divided by m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2149, 8717, 19651, 34945, 54593, 78589, 106927, 139601?\n\"Answer: -l**3 + 2189*l**2 + 8*l - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (17 - 19 - (1 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965 - -5169295609.\nAnswer: 5169294644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3950 divided by -790?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57753393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 52*p + 809. Calculate t(13).\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(363) - (sqrt(363) + -2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 232771839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89*b*g**3 - 140904*b*g + 3*b - 1050*g**3 - 71056*g**2 wrt b?\nAnswer: -89*g**3 - 140904*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*y + 4, l + 4*y = 5*y + 3. Solve -t - l*t = 4*z + 1, 2*t + 3*z = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 3, w: 1, l: 3, g: 6}. Give prob of picking 1 l, 1 s, and 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/76)\/((4\/(-2))\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54692634 to the power of 1\/2, to the nearest integer?\nAnswer: 7395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -12, -60, -146, -276, -456?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 22. Let o be (u\/6)\/((-1)\/6). Calculate the highest common divisor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(3*h - h + 0*h) + (-2 + 2 + 2*h)*(-229 + 197 + 185).\nAnswer: 304*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1777803 divided by 3.\nAnswer: 592601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271788889*m + 13973 = 271788732*m for m.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + g + 2. Let f be c(-1). Suppose 2*l = -f*l - 18. What are the prime factors of (l + -1 - -2) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllnvlrvvtvrtblrbbvv. What is prob of picking 1 t and 1 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 826.283 - -0.1.\nAnswer: 826.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436583 is divided by 245?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let d be h(3). Let u(m) = m + 3. Let n(j) = j + 4. Let y(i) = d*n(i) - 5*u(i). Let z be (-4)\/(-2)*(-9)\/(-6). Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/11268 and 97\/1252?\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 28 - 8 + 15 + 8 - f**3.\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30571957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 49*h**4\/24 + 59*h**3\/6 + 38*h**2. Let o be d(-6). Round o to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.11. Let g = -0.05 - q. Let v = 2126\/99 + -4351\/198. Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274 divided by 5\nAnswer: 274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 16*q + 13. Let i be 18\/(-3) - 1\/1. Let m(g) = -g**2 - 9*g - 9. Let p be m(i). Solve -p*f + j + q*j - 25 = 0, 0 = 2*f + 4*j - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (sqrt(363) - sqrt(363)*1))*1 - sqrt(363))**2 - (-3*sqrt(363) + 5)**2 - (6*5*((sqrt(363)*1 - sqrt(363)) + -4))**2.\nAnswer: -17692 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947880 is divided by 2881?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:54 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1717*w - 218199. What is h(127)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232023210 (base 4) in base 15?\nAnswer: 3b0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*j + 956*j = l - 22, -4*l = 4*j + 80 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221462 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)\/(d\/(d**(-2\/41)*d)*d))**(-1\/10))**23 assuming d is positive.\nAnswer: d**(759\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + t - 8, -4*t = -l - 17. Let b(s) = 21*s - 55. Let n(y) = 22*y - 55. Let a(f) = l*b(f) + 4*n(f). Differentiate a(c) wrt c.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) - (-1062)\/4. Suppose -2*m + 7*m - x = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 655*x**4 + 2610*x**3 + 3910*x**2 + 2605*x + 651.\nAnswer: (x + 1)**4*(x + 651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 2*f**3 + 2*f**2 + 2*f + 0*f**3 + (-1 - 1 + 3)*(f**3 + 0*f**3 + f**3).\nAnswer: 4*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, u: 1, b: 4, f: 2}. What is prob of picking 1 u and 2 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d. Let j(n) = -n**2 + 11*n + 26. Let l be j(11). Let u = l - 24. Let b(g) = 18*g**u + 97*g - 97*g. Determine b(q(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 + 8*w**2 - 22*w - 2. Let v(m) = 9*m**2 + 1. Calculate the smallest common multiple of x(14) and v(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:49 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2797664 * -0.3.\nAnswer: -839299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15198 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1353, 2691, 4019, 5331, 6621?\n\"Answer: -o**3 + o**2 + 1342*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/13 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 144096*y + 432324 = 0. What is y?\nAnswer: -3, 36027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34 - 14136\/418)*(-1 - 0). What is the closest to -2\/11 in 2\/3, k, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(2 - 2*r - 2)*(-7*r - 9*r + 9*r) + (0 + 4 - 2)*(-3*r - 2*r**2 + 3*r).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = 9. Suppose -2*i = -i - 2*l + 1, i - d = -2*l. Is i at least 2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4))**2*6 + 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2817527 and 51737.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125, 1124, 1123, 1122, 1121, 1120?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -113, 2 in ascending order.\nAnswer: -113, -60, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 141904\/(-150). Let d = v + 945. Let c be (-1650)\/7425 - 2\/(-9). Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - k = -600003, 4*k = 3*n + 2*k + 450006. Round n to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198.4854 and 67213717.\nAnswer: 67213518.5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/55 - -59\/110. Which is the closest to 1? (a) 1 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4028*i**2 - 20352*i**2 - 116*i**2 - 8478*i**2 - 3161*i**2 as q + c*i + s*i**2 and give s.\nAnswer: -36135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1237+-1.6\nAnswer: 1235.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 74 = -2*p + 2*z, 2*p = z + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 + 10. Let r(b) = 7304*b**3 - 55*b**2 - 550. Determine -55*i(a) - r(a).\nAnswer: -7359*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/47 (b) -6 (c) -2 (d) 5 (e) 2315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 0, -y + 196 = 3*y + 2*j. Suppose -5*s + 8 = y. Let i be -2 + (s\/2)\/(-1). Sort i, -1, 0 in descending order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(352) + sqrt(352) + sqrt(198)\/sqrt(900))\/(-1*(sqrt(539)*2 + sqrt(11))*2).\nAnswer: 119*sqrt(2)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 11. Suppose 2*v - r - 2*r - s = 0, v - 4 = 2*r. Let t(o) = o**2 - 9*o + 2. Is t(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9190174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757*q - 754*q + 2*d = -38*d + 465, 5*d - 75 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 20 - 8 = 0, -9 = -2*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 19*p**2 - 4*p - 85. Determine j(-17).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -2*s**3\/21 - 8*s**2\/7 + 18*s\/7 - 421. Factor o(w).\nAnswer: -2*(w - 1)*(w + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296576 divided by -18536\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 1, j: 3, f: 1, g: 2, l: 5}. What is prob of sequence dfg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 21337*k + 192060. Give j(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3021 rounded to one decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 74*p**3\/3 - 52*p**2 - 212*p. Does 28 divide b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2513*r - 2499*r = 1533028. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4489200 to the nearest ten thousand.\nAnswer: 4490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167285067?\nAnswer: 3, 1867, 29867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166377045 and 3262295.\nAnswer: 166377045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.27. Let q = s + -0.1. Let z be (-11)\/(-10) - 15\/10. What is the biggest value in q, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10418, -9239, -8094, -7001, -5978, -5043, -4214?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-4))\/((-40)\/(-840)*63)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a factor of 36853350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.04 or 217\/3?\nAnswer: 217\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 0*s**5 + 1\/2*s**3 + 2 + 0*s**4 - 23\/10*s**6 - 33*s + 0*s**2. Find the second derivative of j(u) wrt u.\nAnswer: -828*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1194511*l**2 - 49634 wrt l?\nAnswer: 2389022*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, f: 1, m: 2}. Give prob of picking 1 k and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1623590?\nAnswer: -1623590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 7, -2 in descending order.\nAnswer: 10, 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255 and 32538.\nAnswer: 162690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Suppose -v*z + 9*z = 0. Suppose -4*p + 21 = i, 3*p + p = z. Calculate the remainder when 83 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -10*p + 12573225, p + 4*x - 688673 = 568667. Round p to the nearest one thousand.\nAnswer: 1257000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 416228\nAnswer: -66596.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6935)\/24 - 1\/(-3). Let b = n + 289. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3168.434 rounded to the nearest 10?\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003873 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -15, -25, -37, -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 + 7944*a**2 - 7888392*a = 0 for a.\nAnswer: 0, 1986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2820 - 2757. Calculate the remainder when 440 is divided by g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4617?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 21*m**2 + 40*m - 23. Let f be y(19). Suppose 0 = -3*r - f, -35*z + 137 = -33*z - 5*r. Calculate the lowest common multiple of z and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -398.73 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/15 - 592*m**4\/15 + 13438*m**3\/5 + 214172*m**2\/15 + 173264*m\/15 = 0.\nAnswer: -4, -1, 0, 119, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 23 + 19 = 2*k, 0 = 4*k + 5*s - 48. Suppose -k*o + 16*o = -5. Solve 12*p + 4 - 3*p**2 + o*p**2 + 14 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 43. Suppose -1 = m + 2*u, -u + t = 2*m - 6*u. Suppose 0 = -c - m + 60. Calculate the highest common factor of 44 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 3. Let x(y) = -y**2 - 3. Let o(k) = -7*v(k) - 6*x(k). Calculate o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -0.73 (c) -21 (d) 0 (e) -3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -329715*m**4 + m**2 - 37109 wrt m.\nAnswer: -7913160*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, -3, 2, -5, -2, -73 in ascending order.\nAnswer: -228, -73, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14028 and 1795.\nAnswer: -12233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1844 and 2342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 28*f - 3. Let h(u) = 233*u - 26. Let s(p) = 117*p - 13. Let b(w) = 6*h(w) - 11*s(w). Let y(l) = 2*b(l) - 9*g(l). Let i(c) = -c. Give i(y(t)).\nAnswer: 30*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35750511*m**2 - 3*m + 1139810 wrt m.\nAnswer: 71501022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -15 + 3 + (12 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 53*v - 3192. Determine d(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.60987\nAnswer: -0.121974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 994771844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 - (-570)\/525. Let m = 0.2 - 0.2. Let z = 2 + m. Which is the third biggest value? (a) d (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, 1887 in increasing order.\nAnswer: -2, -1, 4, 1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -549 + 1598. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11 = -1. Let l(w) = -41*w**2 + 20*w + 6. Let j(h) = -205*h**2 + 97*h + 32. Let y(v) = q*j(v) - 11*l(v). Find the second derivative of y(t) wrt t.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-20)\/(-15))*(57 - 60)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*m - 3 + (-2*m - m + 5*m)*(4 - 5 - 1) + (-2*m + m - 2*m)*(3 - 3 - 1).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111120000220210 (base 3) to base 11.\nAnswer: 4080a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(16*(-630)\/1440)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27889, -27894, -27909, -27940, -27993?\n\"Answer: -c**3 + c**2 - c - 27888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**23\/y**(2\/3) assuming y is positive.\nAnswer: y**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165785774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18809.\nAnswer: 7, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6426)\/17340 + (-5)\/170\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5088, 39933, 133930, 316473, 616956, 1064773, 1689318, 2519985?\n\"Answer: 4899*y**3 + 182*y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 270, 277, 286, 297, 310?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/14 - 3\/14. Let q = -105\/11 + 111\/11. Put -0.3, q, p in ascending order.\nAnswer: -0.3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 19474965\nAnswer: 1\/19474965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 1975, 52, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 372 (c) 1\/4 (d) 0.3 (e) -83.6 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -666066*f*j**2*w**2 + 251*f*j**2 + 2*j**2 - 5*j*w**2 - j - w**2 - w + 38033 wrt f?\nAnswer: -666066*j**2*w**2 + 251*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**4*t**3 - m**4 + 373*m**3*t**3 - 119*m**2*t**3 + 2*m*t**3 wrt m.\nAnswer: -24*m*t**3 - 24*m + 2238*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -542 - -1079. Suppose -4*u + m = -215. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6774334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/30 + o**3\/6 - 3*o**2. Let d be r(1). Suppose d*i - 7*i + 44 = 0. Solve 5*f = -15, -4*q - 5 = 2*f - i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14499968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 + 3293*c - 16497. Give k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/69)\/m)\/m)\/m)\/(m*(m**(-19)\/m)\/m*m*m)*m\/(m*(m*m*m*(m\/m**5)\/m*m)\/m)*m**21*m*m assuming m is positive.\nAnswer: m**(2762\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70480429159 take away -0.5?\nAnswer: -70480429158.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16915908, 16915912, 16915916, 16915920, 16915924?\n\"Answer: 4*s + 16915904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**4 + 0*w**4 + 4*w**4)*(0 - 5 + 4)*(1 - 3 + 1) to v*w**2 + l*w + i*w**3 + o*w**4 + t and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-1 - -3)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1015 + 1017. Solve -3*u - 7 - g = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:51 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*n**3 - 15*k**2*n**2 - 704*k**2*z**2 - 2*k*n**3*z + 4*k*n*z - k*z**2 - k*z - 4*n**3*z**2 - 33*n**2*z**2 wrt k?\nAnswer: 4*n**3 - 30*n**2 - 1408*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:17 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 5\/2*n**2 + 5\/12*n**4 - 13*n - 5\/3*n**3. Factor s(f).\nAnswer: 5*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/65 and -12\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)\/(p**(-2\/7)\/p)*p**7\/p**(-2\/5)*((p*p**2*p)**49)**5 assuming p is positive.\nAnswer: p**(449922\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*k - 58 = 0, 4*m + k - 28 = 33. What is the greatest common factor of m and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((26 - 14) + 1) - 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvsvvjvpvsds. What is prob of sequence sjv?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 484317605 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + 10 + (131 - 139)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/12 + 113*b**2\/12 + 1045*b\/4 - 1083\/4 = 0 for b.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.26876 - -0.03176. Round g to 1 dp.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.85 - 1.85. Suppose y + 4 = -3*l, -7*l = -3*y - 2*l + 30. Which is the second smallest value? (a) -5 (b) j (c) 2\/17 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 10*c - 39. What is q(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 8*i + 10. What is the remainder when 8 is divided by r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:00 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 3*v)*(5*v**4 - 4*v**4 - 3*v**4) + 2*v**4 - 2*v**4 - 2*v**5 + (-4*v + 2*v + v)*(2*v**3 - v**4 - 2*v**3) + 5*v**5 - 9*v + 9*v.\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 0.5 (c) -3 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -159*w - 19 + 25 + 13 + 97. List the prime factors of b(-8).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309 * -4\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 11 - d + 3*d + 25 + 462*d**2 - 470*d**2.\nAnswer: -8*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15, -3*w - w + 18 = -2*a. Let p = 3 + w. What is the remainder when 1\/4 + 131\/4 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - 2\/(-3). Let c be -2*((-3)\/(-2) - 3). Let z be n\/(-2)*(-1 + c). Let f(h) = 10*h. Determine f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 3, v: 3, y: 1, e: 3, d: 3}. Give prob of picking 1 k and 3 e.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + 4*m - 1. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.806? (a) 0.3 (b) 29 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*c**2 + 4*c**3 + 4*c**3 - 1 - 7*c**3 + 0*c**3 as x*c + r + b*c**2 + q*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*p = -3*c - 310203, 4*c = p - 1240799. What is c rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 748690576 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-28)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 0 + sqrt(176) + -3.\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227259747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.1, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 447 - 447.186. What is s rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/6925368 and 59\/4848.\nAnswer: 13850736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2470548*z**4 + 4*z**2 - 2*z - 29114.\nAnswer: -59293152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146.14 + -146. What is the fourth smallest value in 0, h, -1, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 118, -41, -200, -359?\n\"Answer: -159*l + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-55)\/(-132))\/(1\/(-1)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724520.\nAnswer: 2, 5, 59, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*h - 18, 27 = -5*k + 2*h + 69. Let v be k\/6*306\/170. Solve -1 = -g - 5*m, -g + v = -m + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105679988 = -4*b + a + 3*a, -a + 132100003 = 5*b. Round b to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -122. Is -43 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70365)\/159494)\/(25\/(-17))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967*s + 973*s = 5*y + 25, -5*s - 10 = 2*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11926 - -11924. Let k(g) = 85*g + 5. Let c(j) = -17*j - 1. Calculate z*k(t) - 11*c(t).\nAnswer: 17*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + 5c55?\nAnswer: 5c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**9\/252 + t**5\/30 + 7*t**2\/2 + 10. Let x(h) be the second derivative of p(h). Find the third derivative of x(n) wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4310 = -98*a + 100*a. Is 1*(32\/(-16) - a*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 10 = -6, -5*k - 4*m = -1179. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15430?\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.35163 times 1790\nAnswer: 629.4177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*sqrt(170)\/(sqrt(10) - (sqrt(10) + sqrt(10)*-2) - sqrt(10)) - (-6*sqrt(153) + 1)).\nAnswer: -3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2 + 81*v - 84 = 0?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 157837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 11045.3.\nAnswer: 5522.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - 2 - (2 + 79 - 103)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7737 + 64267. What are the prime factors of l?\nAnswer: 2, 5, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30383746001\/14011210 - -1964783\/905. Let f = k - -2\/7741. Factor f*z**2 - 5\/2*z**3 + 5\/2*z - 5\/2*z**4 + 0.\nAnswer: -5*z*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171452678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.038 + -304.038. Let y = 304.00014 + n. What is y rounded to six dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 4. Let h(o) be the first derivative of 4*o**3\/3 + 122. Calculate h(y(i)).\nAnswer: 16*i**4 - 64*i**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2967164 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/3 + 7*t + 46\/3 = 0.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 7*j + 8. Let x be a(-3). Suppose 4*c - 7 + 3 = 0, 0 = -5*f + x*c + 6699995. What is f rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1674567\/36 + 57\/228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180348.17 - -180348. Let p = -6 - -6.08. Is p at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -g + 2, -224*g + 2*z = -225*g + 2. Solve -2*t + 2*a - g = 14, 5*a - 12 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 400, -400, 4.\nAnswer: -400, 4, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208492.77 months to years.\nAnswer: 17374.3975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 954*j = 1003*j - 353045. Is j a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**3\/21 - 2563*x**2\/7 - 5128*x\/7 + 8844. Factor z(h).\nAnswer: 2*(h - 2564)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, -2, 0.0057982, 1\/4?\nAnswer: 0.0057982","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -72.075. Let s = b - -0.009. Let z = 0.004 + s. What is z rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Suppose 0 = x*g + 4*d - 28, 2*d = 4*g - d - 63. Let h(c) = 19*c**2 - 1. What is the smallest common multiple of g and h(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4356 and 5\/24?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005716 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 44556.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.841 + -0.259. Let a = z + 16. Let c = a - -2. What is the third biggest value in c, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6784 and 154018.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*o**2)*(-3*o - 2*o + 0*o + (1 + 1 - 1)*(-1 + 2*o + 1)).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 191. Let q be (p\/54)\/((-4)\/(-198)). What is q rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 50*d - 6*d**3 + 29*d**2 + 16 + 19 + 1. Let n(l) = l**3 - 6*l**2 - 10*l - 7. Let v(c) = 11*n(c) + 2*w(c). List the prime factors of v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416378?\nAnswer: 2, 208189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/(s\/(s\/s**(2\/3))))\/(s**1*s**1) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/17, -0.1, 25 in increasing order.\nAnswer: -0.1, 0.1, 2\/17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 1497*g**3 + 1503*g**2 - 1497*g - 1500 = 0?\nAnswer: -1, 1, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8674*h**3*t**5 + 4*h**3 - 46*h**2*t - 5*h**2 + 2*h*t**5 - h*t wrt t.\nAnswer: -173480*h**3*t**3 + 40*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let r = 4015 - 12043\/3. Let y(m) be the second derivative of 1\/12*m**4 + 21*m + 0 + r*m**3 + m**2. Calculate -4*x(c) - y(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141257 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218350595 by 321041.\nAnswer: -3795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**(-26)\/(h**(1\/3))**(11\/4)*h**4\/h**(4\/5)*((h*h**(-2\/3))\/h)**35 assuming h is positive.\nAnswer: h**(-1907\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - b - 4)*(3*b + 2*b - 3*b) - 84*b**2 - 6*b**2 + b - b.\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25315*i + 25366*i = 2550 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 + 6*j - 4. Let d be y(1). Solve 9*m = -8 - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 1, 5.\nAnswer: -13, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174.861 - 198.81. Let o = b + 24. Round o to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266189 is divided by 188.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -424, -439, -476, -547, -664?\n\"Answer: -2*c**3 + c**2 - 4*c - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535077363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24112 - 3293 = -105*i. Calculate the remainder when i is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, t: 7, s: 3, l: 4, r: 2}. What is prob of picking 3 w and 1 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 1428*l - 15224.\nAnswer: -4*(l - 346)*(l - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10189*v = -296155 + 31241 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**2 - 220*s + 596. What is r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38239, -155225, -350961, -625447, -978683, -1410669, -1921405?\n\"Answer: -39375*u**2 + 1139*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = 1. Is 1\/((12\/1636)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + 25*o + 265. Let z be d(-8). Let t(l) be the first derivative of l**2\/2 - l + 1. Let y be t(4). Put z, -5, 0, y in decreasing order.\nAnswer: y, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:09 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 12515264.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 68, 129, 214, 323?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + u**2 - 2*u**2 - 4 + 13*u - u**3 - 6*u. Let z be i(5). Calculate the remainder when 69 is divided by 146\/8 - 14\/z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -63*z**2 - 22*z - 13. Let x(p) = 88*p**2 + 33*p + 19. Let h(s) = 7*u(s) + 5*x(s). Determine h(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2784*y + 95. Is p(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 73 - 2*g - g.\nAnswer: -3*g - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**3 - 1577*p**2 - 458*p - 1680. Give t(-225).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let a = -900553\/15 + 60037. What is the second biggest value in a, u, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*r - 6, -2 - 1 = r + 3*b. Let o be r*(3 + -2) - -1462. Suppose -3*x + o = -2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -6*n - 8. Let v(r) = 2*r + 35. Let h be v(n). Solve -6*s = h + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*u, 4*x + 4*u = -30 + 94. Let t = -20 + x. Suppose i + 2 + 0 = t. Put i, -5, -1 in decreasing order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1362 + -122.3362. Let p = 135 + b. Let z = 12.697 - p. What is z rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 5*k, -g + 5*g = -3*k - 3. Let j = g - -2. What is the units digit of (2\/(-5))\/(j\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -95. Let y be (l + -2 + 4 - -8)\/2. Find the third derivative of 30 - 28*w**y - 60 - 18*w**2 + 30 wrt w.\nAnswer: -672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/2? (a) -7 (b) 3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 - m**2 - m**2)*(0 - m + 0 + (7*m - 4*m - m)*(1 + 1 - 3) + 7*m - 4*m + m) to the form g*m**2 + j + q*m**3 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605 by -121.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - 9*a**4 + 2*a**4 + (1 - 2*a - 1)*(-a**3 - a**3 + 0*a**3).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560465 is divided by 16735.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-11)*(-2)\/8*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = s - 26 - 21, -2*s = 3*z - 73. Suppose s = 6*y - 2*y. What are the prime factors of (-52)\/y*(0 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 21 - 9. Suppose -w - l*r = -178, -w + r - 2*r = -166. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + o - 167 - 829, 0 = k - 2*o - 258. Suppose -517 = -5*q - 2*r, 42 - k = -2*q - 2*r. Is 101 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -402.704 from -198439584.\nAnswer: -198439181.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 - p**2 + 3*p - 1. Let r be l(1). Suppose -2*g - n = 4585, 2*g - r*n = -2834 - 1726. Let w = g + 3637. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 4840*t**2 - 4836*t = 0.\nAnswer: 0, 1, 1209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - -7) + 4\/1. Let p(v) = -v**2 - 6*v - 4. Calculate p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 13. Let u be m(9). Suppose -u*f - 3720 - 772 = 0. Let h = 7878\/7 + f. What is the common denominator of -22\/9 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28886, -57773, -86658, -115541?\nAnswer: -144422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -900 + 903. Differentiate -13*w**2 - 48 - 3*w**k + 23*w**3 + 245 - 10*w**4 - 20*w**3 wrt w.\nAnswer: -40*w**3 - 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 64. Suppose -4*u + 52 = 4*n - 0*n, -5*u = -n + b. What is the least common multiple of n and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = 7*a + 1. Let q = -10 - a. Solve -2*v - q = 5*f, 0*v + 5*f + 17 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.60261 to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2612 + -1.6412. What is y rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-4))\/(2349\/(-1566)*2*24\/(-3))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*p**2 - 325*p**2 + 600*p**2.\nAnswer: 907*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2811\/(-15))\/(1\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**6\/360 - r**3\/3 + 6*r. Let u(s) be the second derivative of y(s). Let x(f) = f. Give x(u(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/2*(-3498)\/(-26235)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**2 + 2*g + 1\/3*g**3 - 1. Let k(m) be the first derivative of w(m). What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 0*w + 0*w - 4*w**4 + 108 - 3*w - 106 - 9*w**3 + 3*w**2 to y*w**4 + z*w**3 + d*w + f*w**2 + i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: (133\/(-18))\/((-87020)\/18320)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = -2*b, b = -0*b - 3*x. Let y be (b - -14) + -4 + 1 + 0. Find the common denominator of (-38)\/(-10) + -1*y\/(-4) and -81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2702*t - 12468. Calculate q(-5).\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-2787277707.9\nAnswer: -2787277707.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 + -140. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006373166 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.082?\nAnswer: -0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43462967330027 plus -0.2?\nAnswer: 43462967330026.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m + 5*a - 35 = 72*m, -3*a = 2*m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 4. Let s be a(5). Let z(p) = p + 1. Let w be z(2). Let x = -199 + 194. Sort x, w, s in decreasing order.\nAnswer: w, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(2\/(-1)) + 3. Suppose -8*v + w*v + 128400 = 0. Let m be (2 + -4)\/(4\/v). What is m rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - g - 4*h, 5*g = h - 19. What is the nearest to -1\/4 in g, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 7*p + 5. Let j(n) = 2*n**2 - 3*n + 2. Determine 14*j(i) - 6*x(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let z(s) = -214 + 2*s + 0 - 4*s + 2 - 92. Give z(b(g)).\nAnswer: -4*g**2 - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/6 - 1580*a. Let m(s) = -15*s + 8. Determine w(m(v)).\nAnswer: 450*v**2 - 480*v + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + v**2)*(163 - 309 + 231)*(v**3 - 3*v**3 - v + 3*v).\nAnswer: 510*v**5 - 510*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/5635 and 67\/2695.\nAnswer: 61985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.819 times -28\nAnswer: 50.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -56. Let x = 65 + o. What is the derivative of -x*w**3 + 11*w**4 - 15 + 5*w**4 + 21*w**3 wrt w?\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*q**3 + 2410*q**3 - 1207*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -10, -25, -46, -73, -106?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -37 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 473835773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*80\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 911065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.090886 plus -0.2?\nAnswer: -33.290886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-7))\/((-418)\/2926)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 37*n + 668. What are the prime factors of z(75)?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4972 - 4702. Calculate the highest common factor of 405 and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 54281.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/6)\/(17\/(-102)). Let n(k) = 3*k + 1. Let h(z) = -4*z - 2*z - 1 - 2. Determine v*n(m) - 2*h(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwuw when four letters picked without replacement from uuuuuuuwuwuuwwwuuww?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 6 + 0*s**5 + 0*s**4 + 3\/2*s**6 - 2*s**2 + 0*s + 0*s**3. What is the second derivative of k(a) wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, u: 7}. What is prob of picking 2 r and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**4 + 2*x**4 + 3*x**4 - 10*x**2 + 4*x**2 wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/3 + 88*s\/3 - 184\/3 = 0.\nAnswer: -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 n when three letters picked without replacement from mmnrrrrmmmn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + k + 32. Let i be f(-8). Is 6 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43964, -44003, -44080, -44213, -44420, -44719, -45128, -45665?\nAnswer: -46348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 6:22 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47969.30043 rounded to the nearest ten?\nAnswer: -47970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4*o + o)*(-10*o**3 - 18*o**3 + 9*o**3).\nAnswer: 114*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3291*m**3 - 12*m**2 + 11*m + 12. Let u be (-6)\/(-27) + 237\/27. Let k be c(u). What is k rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29944*c + 29889*c. Factor -3\/7*y**2 + c - 15\/7*y.\nAnswer: -3*y*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -429*f - 21437. Determine w(-50).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 21 = -5*g, -3*m - 4*g + 46 - 61 = 0. Let -1\/2*o**2 + m - 1\/2*o = 0. Calculate o.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t - 156. Let a be p(22). Suppose -7*y - a = -12*y. Solve -y*i + v - 7 = 0, -8 = 2*i - 3*v + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(0 - -3) + 24685 + (-11 - -9).\nAnswer: 2, 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-20))\/((-5)\/(150\/(-12)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Suppose 72 = -12*r + 4*r. Determine g(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3 - 40*w**2 - 60*w + 720 = 0?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {d: 2, z: 4, g: 2, l: 1, b: 2, o: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21598\/2565 or -9?\nAnswer: -21598\/2565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -0.46\nAnswer: -1.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*r - 3*r - 65, 5*t = 4*r + 79. Calculate the lowest common multiple of (-847)\/(-28) + 2\/(-8) and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Suppose -w*l - 8 = -3*l. Let i = 41615\/166476 + 1\/41619. Which is the nearest to -0.1? (a) -2\/7 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 4*w**2 - 18*w + 8. Let t be p(5). What is the highest common factor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2738658*r*x**3 - 793269*r*x**2 wrt x?\nAnswer: 16431948*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 + 746*c**4 + 69932*c**3 + 67704*c**2 - 138384*c = 0. Calculate c.\nAnswer: -186, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -24. Let l(t) = t - 8. Let w be l(6). Is (w + 399)*(g - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -4665?\nAnswer: -5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 5\/((-10)\/(-12)). Let o = -2 + p. Is 4 + (-2 - o) + -4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 737*o - 21347. Give z(28).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 m, and 1 k when three letters picked without replacement from {v: 4, m: 1, k: 6, o: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 27\/2*g**2 + 243\/2*g + 100 + 1\/2*g**3. Factor h(s).\nAnswer: 3*(s + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((420\/16)\/21)\/(5 - 19\/4). Let u(g) be the first derivative of -g**4\/4 + 4*g**3\/3 + 3*g**2 + 4*g - 3. What is u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119563097 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 - 45443*h**3 + 45444*h**2 = 0 for h.\nAnswer: -45444, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 + 15*p**4\/4 + 93*p**3\/4 - 33*p**2\/4 - 255*p\/4 - 75\/2 = 0. What is p?\nAnswer: -5\/2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 16, 4 in decreasing order.\nAnswer: 27, 16, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/60 + s**4\/24 - 5*s**3\/2 - 6*s**2 - 5*s. Determine i(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*(-82)\/123*(-12)\/(-136).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 47*a**2\/2 + 2*a + 3. Is c(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1\/(-2)*-6. Suppose -l*r + 23 = -29. Let q = 3 + r. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-8)*(-1 - -9). Let j = 97 + -75. Let a = j - d. Solve a*w + 3 = 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqudqxuuucddduudddu. What is prob of picking 2 u and 1 x?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22, -1.1, -0.4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 37 = 47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*c + 257, -174 + 41 = -t - 2*c. Let p = 183 - t. Let k(y) = 9*y**2 + p - 3*y**2 - 52. Let x(o) = o. Determine x(k(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 13 + 21. Suppose -2*r + n = -21. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731 = -68*d + 357 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 228\/(-95)*(-90)\/(-12).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16144 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 22965853.8 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 8) to base 2.\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/17 + 9\/68. Let n = 13 + -12.9. What is the closest to -1 in v, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 85*k - 27. Let s(y) = -212*y + 68. Let d(v) = -5*s(v) - 12*t(v). Let a be d(-11). Is 11662\/38 - 48\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 42183120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -170, -343, -518, -695, -874, -1055, -1238?\n\"Answer: -v**2 - 170*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 11 = z - 3*q, 3*z + 4*q - 26 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63344129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(-1 + 70\/20). Let s be (3\/15)\/((-6)\/(-20)). Which is the closest to f? (a) s (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.315676 rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**3 - 12*q**2 - 6*q + 5. Let m(p) = 8*p**3 - 13*p**2 - 7*p + 6. Give 6*j(z) - 5*m(z).\nAnswer: 2*z**3 - 7*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/5 - 4*v**3\/3 + 15. Let l(b) be the third derivative of a(b). Let n(t) = -t. Calculate n(l(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 7*f**4\/6 + 2*f + 660. Let l(g) = 175*g. Calculate l(y(d)).\nAnswer: 2450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1 + ((-60)\/(-24) - (-21)\/(-2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + 228\/165 + -40 + 4496\/(-80).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21707 or 21710?\nAnswer: 21710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-70) - (-42)\/(-70)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -c - 4*x, -84 - 21 = -2*c + x. Suppose -42*s = -c*s + 4644. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2011 - 2011 + 11327*j**3.\nAnswer: 11327*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -2\/5, -2, 29?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -9 + 2 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30059 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716082 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, -1\/69154 in increasing order.\nAnswer: -0.4, -1\/69154, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*((-90)\/(-27) - 4). What is the closest to -2\/3 in -1\/7, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -25*t**2 - 4*t - 13. Let c(l) = 6*l**2 + l + 3. Let m(w) = -9*c(w) - 2*f(w). Let u be m(-1). List the prime factors of (0 - -2)\/(u\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106826 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 920 + -918. Which is smaller: s or 81\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3919 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 8*t**2 + 96*t**2)*(-3*t + t + 0*t) + 8*t**3 - 6*t**3 - 5*t**3 as z + k*t**2 + l*t + d*t**3 and give d.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7640 + -7640.0719. What is the second biggest value in 3, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470799677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lypyfppfpympympfppyf. Give prob of sequence lymy.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k + 8. Let g = -3 + 3. Let z = 5.5 - 5. Which is the nearest to g? (a) 1\/8 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3984 + 33.46\nAnswer: 4017.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.4 + -5. Let x = -457 + 300. Let h = x + 156.9. Which is the second biggest value? (a) w (b) 16 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277571 is divided by 644.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11284\/1519 + (54\/(-7) - 2\/7)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-4 + 4 + sqrt(162) + -2*sqrt(162)*4 + -5 + -2).\nAnswer: -252*sqrt(2) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Find the second derivative of -z*y**3 + 0*y**2 + y + 0*y**2 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 - 2*b - 11. Let k be n(-8). What is the derivative of 0*h**3 + k*h**3 - 17 + 22*h**3 wrt h?\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8135)\/325 - 1358\/(-44135)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168925595 divided by 5?\nAnswer: -33785119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5795 by 6.\nAnswer: -5795\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4568 = -3*u - 166*b + 162*b, 2*b - 3050 = -2*u. What is the lowest common multiple of u and 224?\nAnswer: 85792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510, -567, -668, -819, -1026?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -4 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:21 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1331)*-1 + 5)*3.\nAnswer: -66*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-175) + (-6)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + v**3 + 10*v**3 - 70294 + 70294 + 835*v**3 + (-2*v**3 + v**3 + 0*v**3)*(1 - 4 + 2).\nAnswer: 843*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-38))\/((-2)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 5*k + 58, k + 56 = 2*g + 42 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 103 = 24. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 442508 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 19*q + 2. Let o(s) = -10*s**2 + 94*s - 10. Calculate 3*o(y) + 16*v(y).\nAnswer: 2*y**2 - 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:58 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 2. Let l be x(3). Let n(u) = 4 - 4*u + 4*u + 2*u. Let j be n(-3). Which is the biggest value? (a) -0.4 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhpdd. Give prob of sequence hdpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 20.2 (c) -54327\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attgtartaa. Give prob of picking 2 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*d - 12 + 12 + 522*d - 1038*d.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40683449*v**3 - 2706902*v**2 wrt v.\nAnswer: -244100694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23830617.74 - -1?\nAnswer: -23830616.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*w - 4*w, 8 = 2*a + 3*w. Sort a, -3, 11 in increasing order.\nAnswer: -3, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/9, -5, -2\/37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48252, 46983, 45730, 44499, 43296, 42127, 40998?\nAnswer: 39915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354b (base 12) in base 5?\nAnswer: 142323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 15*l**2\/2 - 7*l - 5. What is the derivative of k(o) wrt o?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 0.4 (c) 0.0444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:05 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/13 + 268*w**3\/13 - 5674*w**2\/13 + 23240*w\/13 + 128184\/13 = 0 for w.\nAnswer: -3, 14, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 1:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 33*o + 12. What is the hundreds digit of y(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.5, -2\/5, -0.09, 2\/37 in decreasing order.\nAnswer: 0.5, 2\/37, -0.09, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-5) - 511040\/(-50).\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + 6)*(0 + (-4)\/3). List the prime factors of (93\/y)\/((3\/(-8))\/(-1)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 - -2)) + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 at most as big as 264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from {g: 3, h: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -32*v**2 - v. Let b(m) = -213*m + 3. Give b(l(r)).\nAnswer: 6816*r**2 + 213*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 77*i**2 - 16120*i + 99271. Calculate w(203).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10269162 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:19 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/(60\/(-5)))\/(-2*1\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -77258 in decreasing order.\nAnswer: 2, 0, -77258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -31, -67, -137, -253, -427, -671?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 3 = -4*a. Solve a*c = 1 - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*b**3 + 11*b**2*o**2 - 602*o**2 + 2 wrt b.\nAnswer: -48*b**2 + 22*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235550 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(3 + 1) + 3. What is the units digit of h\/28 + 524\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 3. Let h be o(-6). Let d be ((-4)\/10)\/(h\/60). Solve d = 3*x + x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*x + 2\/3*x**3 - 8\/3 + 8\/3*x**2.\nAnswer: 2*(x - 1)*(x + 1)*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9171 and 24.\nAnswer: -220104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {z: 2, d: 1, j: 1, k: 7, c: 7}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.331 - 0.3305452. What is w rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*y + 197 + 63 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/69356 and -31\/24770?\nAnswer: 346780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 0, 6982?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {n: 2, j: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*s - j, -347*s - 3*j + 7 = -345*s. Solve -s*i - 3 = 3*c + 13, -5*c - 24 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38 - 0.02. Let p = 1795.2 + -1795. What is the second smallest value in l, p, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/7 + 46*h**3\/7 + 16*h**2 - 160*h\/7.\nAnswer: 2*h*(h - 1)*(h + 4)*(h + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 53. Calculate n(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-7 - -4) + (-4 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxvxxxxxxxxxxx. What is prob of sequence xxxx?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17580\/135 + (-4)\/18 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z - 32. Let k be w(4). Let h(m) = m**2 + 9*m + 5. Determine h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - i + i + 3 - 3 + (1 + 0 + 1)*(-6*i + 2*i + 3*i) + 0*i - i - 2*i)*(-80*i**3 - 1128 + 1128) + 0*i**4 + 7*i**4 - 3*i**4.\nAnswer: 84*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85665721?\nAnswer: 85665721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by 3993?\nAnswer: 57\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430824 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 129, 71, -51, -261, -583, -1041?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402737 + -402737.00198869. Round f to five decimal places.\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -268, -527, -784, -1045, -1316, -1603, -1912?\n\"Answer: -y**3 + 7*y**2 - 273*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/39)\/((-20)\/(-260)). Solve -b + 10 = -5*w - z*b, 2*b = 4*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7537037 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 1537, -26, -5, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 364683 = -60*r + 367412. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 217888145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252.5 - -252. Which is the third biggest value? (a) 128 (b) -0.2 (c) 5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a**3 + 524376*a**2 - 104876*a = 0. Calculate a.\nAnswer: -26219, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f. Suppose 4*p = -f*p + 56. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**2*k**3*w - 2*d**2*k**2 + d*k**4*w + 78*d*k*w - 2*k**2 wrt k?\nAnswer: -96*d**2*w + 24*d*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82651, 330734, 744253, 1323220, 2067647, 2977546?\nAnswer: 4052929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j - 70*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118413, 118224, 118035, 117846, 117657, 117468?\n\"Answer: -189*p + 118602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (16\/(-4) - (1 - (6 + -5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3738309627 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 13*n - 82. Calculate the remainder when 165 is divided by h(-20).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = v + 89, -3*r - 2*v + 77 = 2*r. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1393.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((((z\/(z*(z*z**4)\/z*z))\/z)\/z)\/z)*z**(1\/2))\/(z*z**(1\/2))**(3\/16))\/(z**(-4\/3)*z\/(z\/(z\/z**(-5\/3))))**45 assuming z is positive.\nAnswer: z**(-1625\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1724*v - 860.\nAnswer: 1724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3079562)\/(-46) - (-7 + -19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 95. Suppose 7 + i = 3*p. Does 3 divide (-7)\/21 - p\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633945452 to the power of 1\/2, to the nearest integer?\nAnswer: 40422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 4\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 3\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y - 2 + 44 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 - 153 - 196 + 719 + 30 - 3*b - 194.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let y be p(-1). Suppose -q - 7 + 0 = y. Let k = 33 + q. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, b: 5}. Give prob of picking 2 m.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -7*b + 143. Suppose d = -2*j + 22, j + b = d + 5*j. Calculate the remainder when 70 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, c: 9}. What is prob of picking 2 c?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 119742, -40, -3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5763002 is divided by 198723.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*p - 25 + 5, f + 3*p = 25. Let i(h) = f + 2*h**2 - h - 9 - h. Suppose 14 = 26*b - 19*b. Calculate i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67164 and 95497.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40389.06 minus 0?\nAnswer: -40389.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 + 5*a - 7. What is the units digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176))**2 + -5 - sqrt(121)\/(sqrt(22)\/sqrt(2)))*-6 + -1*5*(-1 + sqrt(11))*1.\nAnswer: -1021 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:19 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 26695*n**2 + 26695*n**2 - 74050*n**3.\nAnswer: -74050*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 7*o**4\/12 + 3*o. Let k(d) = 5*d**2 - 24. Let f(y) = -5*y**2 + 16. Let z(l) = 6*f(l) + 4*k(l). Give h(z(b)).\nAnswer: 700*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7857407 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 550 and 66?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2))**(-2))**33 assuming u is positive.\nAnswer: u**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525723411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = p - 6364, 5*b = 3*p + 5081 + 2891. What is the common denominator of b\/160 + 2 + (-1)\/4 and 4\/(-10) + 886\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -339.2 and -75110.\nAnswer: -75449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -540 + 544. Suppose z - 322 = p*u, 10*u - 347 = -z + 9*u. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1. Let w(a) = 3*a + 8. Calculate 5*t(h) + w(h).\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25099428 and 0.2?\nAnswer: 25099427.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2770974 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 4*h**2 + 5. Let w be u(-4). Let x(l) = -w*l + 5*l - 2*l. Let q(n) be the second derivative of -n**4\/4 + n - 2. Give q(x(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 324*q**3 + 2964*q**2 + 8924*q + 8520 = 0. What is q?\nAnswer: -71, -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 69. Which is the fourth biggest value? (a) f (b) 5 (c) 0.4 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 - 4*m + 5. Determine q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 + -6) - -76. Factor -c*q + 3967 - 4689 - 2*q**2 + 0*q**2.\nAnswer: -2*(q + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.41 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16741 - 3063*q**3 - 16741 + 3060*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33 - 4 - 2\/((-4)\/2). Suppose 7*w - j = 13*w. Let r be 6\/(-20) + 1\/w. What is the nearest to 0 in r, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -709 - -1379. Is 67 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 47.8. Which is the smallest value? (a) u (b) 1 (c) -1 (d) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4100 + -0.01728.\nAnswer: -4100.01728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 x, and 1 v when four letters picked without replacement from pppxpxppxpppvxxxvvx?\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 5*q + 4*q)*(1 - q - 1) as k*q**2 + r + s*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {l: 1, k: 5, o: 5, n: 6}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315968978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f + 24. Let c be g(0). Suppose 3*j + 3*u = c, 6*j = 2*j + u + 42. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56243 - -56243. Factor 0 + 12\/7*s**2 + u*s - 17\/7*s**3 - s**4.\nAnswer: -s**2*(s + 3)*(7*s - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/10 + (-1)\/2)\/5. Let o = -40.7 - -41. What is the nearest to 0.02 in o, -3\/4, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))**24\/(c**(-7)\/(c**0*c))*((c**(-2\/5)\/c)**21)**38 assuming c is positive.\nAnswer: c**(-38222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 12*a + 7. Determine q(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 44*n - 2*q = -12, -8 = 2*n + 2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22108990 - 22108467.99454. Let b = -522 + a. Round b to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -11 - (20\/(-15 - -17) + (-17 - -7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let i = -3 - -7. Suppose 25 = o + x*o, 0 = i*g - 3*o - 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -439422.299 - -439918. Let u = 496 - j. What is u rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 23. Let m(u) = u**3 + 2*u**2 - 15*u - 7. Let k be m(0). Let g(i) = -2*i + 12. Determine k*g(n) + 3*a(n).\nAnswer: -n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*h**2)*(-h**3 + 3*h**3 + 0*h**3) + (-2*h + 2*h - 2*h)*(-5*h**4 - 4*h**4 + 10*h**4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {w: 2, g: 7, a: 3}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1344\/(-224) - (21 - 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibibibibbbibbbbibb. What is prob of sequence iii?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 4 (c) -3\/7 (d) -9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 386 - 6?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*2500.\nAnswer: -80000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1310\/(-393))\/(145\/(-87)*-2*26\/(-60))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -f. Suppose f*u = 2*m - 120, 3*m + u = -u + 170. What is m rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t + 4. Let l be d(-2). Let k(s) be the third derivative of 1\/24*s**l + 0 + 0*s + 2*s**2 + 1\/6*s**3. What is the derivative of k(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2208 - -7385. What are the prime factors of j?\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*l**3*v**4 - 2*l**3*v**2 - 17*l**2*v**2 + 2*l*v**4 wrt v?\nAnswer: -8976*l**3*v + 48*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 172*r**3 - r**2 + 3*r. Let s(u) = -171*u**3 + 2*u**2 - 4*u. Give -4*o(m) - 3*s(m).\nAnswer: -175*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26393.858 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from {p: 2, r: 1, g: 3, k: 2, o: 3, b: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.74 + 0.479. Let i = v - -0.061. Which is the second biggest value? (a) -4 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/4 + 25562145*f\/4 - 25562155\/2.\nAnswer: 5*(f - 2)*(f + 5112431)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 1 + 2 + q**3 - 5*q. Let w = -4 + 3. Let a(i) be the second derivative of -i**4\/6 + i**3\/6 - i**2\/2 + 3*i. Calculate w*j(s) - a(s).\nAnswer: -s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383226*p**2*s**2 - 12*p**2 + 1355*p*s - 2*s + 1 wrt s.\nAnswer: -766452*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-9))\/z)\/(z\/z**10))**(-10) assuming z is positive.\nAnswer: z**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -2252 = 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 + -280. Calculate the lowest common multiple of 1 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -11\/2 (c) 1\/7 (d) -1\/12 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30672000 rounded to the nearest 100000?\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2790, -5, -0.4, -3\/5 in descending order.\nAnswer: -0.4, -1\/2, -3\/5, -5, -2790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 3\/2)\/((-3)\/(-8)). Let k = 4 - 8. Let h = k - v. Is h at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38871.\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 10, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4863700 divided by 9\nAnswer: -4863700\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*o**4 - 29*m**3 + 10404831*m**2*o**4 - 522*m**2 + 42*o**2 wrt o?\nAnswer: -24*m**3*o + 249715944*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1752 = 4*x - 56552. What is x rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1095*x - 155. Let h(g) = -3289*g + 468. Let f(u) = -4*h(u) - 13*t(u). Let d(p) = -30*p + 4. Give 143*d(s) - 4*f(s).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - -0.7. Let x = 4.5 - s. Let v(p) = p - 7. Let f be v(6). Sort x, f, -1\/9 in ascending order.\nAnswer: f, x, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1218921650 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -49.07. Let f = -6 + 7. Is f at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g + 73. Suppose 0 = -2*w + 6*w + q - 119, 5*w = -3*q + 140. What is the hundreds digit of t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (65278\/(-5334) + (-1 - (-6)\/9))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -67. Let x = -22 + -12. Calculate the remainder when l is divided by ((-1)\/(-2) + -1)\/(x\/1088).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 8*a**2 - 4*a + 11. Suppose -16 = -0*z + 2*z. Let k be v(z). Suppose 0 = -4*l - 3*t + 261, -217 = -3*l + 5*t - k. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**3 - 108*l**2 - 228 wrt l?\nAnswer: 6*l**2 - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128*-2.6.\nAnswer: -0.3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32213537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -2*h - 0*o, -3*o + 11 = 4*h. Let b be (h + 18)*2\/(-4). Let g = b + 6. Let d(j) = -j**3 - 4*j**2 - 1. Give d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 13*v**2 + 11*v - 110. Determine c(-14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3814, 8458, 13102, 17746, 22390?\n\"Answer: 4644*u - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.846515cm to nanometers.\nAnswer: 8465150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*c - 10*c. What are the prime factors of (-4)\/c - 4568\/(-32)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129.52288443969 + -0.06.\nAnswer: -129.58288443969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3213, 80671, -3 in decreasing order.\nAnswer: 80671, -3, -3213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -2*r + 2*o, 2*r + 281 = -o + 32. Is (-1)\/((-250)\/1482 + (-21)\/r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 547 + -546.97. Let n = 4 - 3.9. Put -0.4, n, 1\/4, l in ascending order.\nAnswer: -0.4, l, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3744 - -0.5?\nAnswer: 0.8744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.9 - -25. Let m be (-8)\/(-30) - 8\/12. Which is the fourth biggest value? (a) m (b) v (c) 4\/7 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 57*m - 2 - 3*m**4 - 55*m in the form d*m + g*m**2 + y*m**3 + o + p*m**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 - 3*q - 7. Determine b(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -36\/5, 1\/17, 2 in ascending order.\nAnswer: -36\/5, -0.4, 1\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -30, 1459, 0 in decreasing order.\nAnswer: 1459, 1, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 - 19048*b**3 - 633216*b**2 + 1295912*b + 131900860 = 0.\nAnswer: -23, 13, 4795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-5)\/2)*760\/8. Suppose 0*w + 2*w - m = -2*u, -42 = -2*w - 3*u. Is 8*70\/w*3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**9\/9072 - h**8\/5040 + 28*h**3\/3 - 44. Let i(d) be the third derivative of z(d). Factor i(b).\nAnswer: -b**4*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 7.237448?\nAnswer: 2.1712344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlp when three letters picked without replacement from prplplsspslslsl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*v)*(2*v + 0 + 0)*(-3 + 1 + 1)*(-42 + 136 + 48) as h + c*v**2 + t*v and give c.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000848722457 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 17*t - 3. Let p be b(7). Suppose -14*y = -p*y + 20. Suppose -y*c = 4*r - 440, 0 = -2*c - c + 5*r + 264. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -133\nAnswer: -12\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 315703*r**2 + 0*r + 9*r**3 + 9*r**3 - 315751*r**2 + 5*r as i*r + n*r**3 + o + k*r**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -80. What is the second derivative of -3 - 48*n**2 - 75*n - t + 78*n wrt n?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**3 - 2*z**2 - 26. Suppose 3*m = 11 + 4, 5*i = m - 30. Let d = i + 4. Let n(l) = l**2 - l. Calculate d*c(u) + 5*n(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -26, -31, -36, -41?\n\"Answer: -5*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 19.4, -2, -2\/27, -8, 1\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68017 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {l: 4, c: 3, g: 1, b: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/15130)\/(1\/(242769\/(-18))). Let g = -3\/3026 + h. Calculate the common denominator of -32\/15 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548473 a multiple of 547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000842519204 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 - c**2 + 4*c**2 + (-3*c + 5 - 5)*(-3*c + c + 0*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*c - 2*c**3 - 8*c + c + 4*c**3 to k*c**2 + l + g*c**3 + y*c and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12114061*z + 41654258.\nAnswer: 12114061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/100 + b**4\/20 + 3*b**3\/10 + 7*b**2\/2 + 6*b. Let i(h) be the first derivative of j(h). Solve i(c) = 0 for c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**3 + 3*p**2 + 6*p + 7. Let m be v(-3). Does 20 divide ((-24)\/(-3))\/4 - (-3 + m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010221 (base 3) to base 16.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3824 - 7647\/2. Let a(i) be the second derivative of -5\/2*i**2 + 0 + 4*i + z*i**3. Let b(f) = -12*f + 21. Determine -21*a(p) - 5*b(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585016609 divided by -6?\nAnswer: -585016609\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (1 + sqrt(7) - sqrt(7))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 12*g - 727 + 252 = 0 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/9179 (b) 0 (c) 4479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 10*z**4 - 28*z**3.\nAnswer: 2*z**3*(z - 2)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z\/z**(4\/3)*z)\/(z**(-2\/9)*z*(z\/(z*z\/z**(2\/25))*z)\/z) assuming z is positive.\nAnswer: z**(-268\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914064174?\nAnswer: 2, 3, 97, 523519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 12332*a**4 + 31*a**2 - 1 + 2*a + 6169*a**4 + 6165*a**4 to the form d + p*a**3 + c*a**4 + t*a**2 + w*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 15*h**2 - 33*h - 3. Let i be (-13)\/2 + -5*3\/(-30). Let y be (((-189)\/i)\/(-3))\/((-3)\/(-4)). Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346799?\nAnswer: 23, 145513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3852 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 198*g**2 + 857*g - 3561. Give c(103).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 5*z**5 - z**5 - 2*z**5 - 5*z**5 + 3*z**5 - 4*z**4 + 4*z**4 + 2*z**5 + (-2*z + 1 - 1)*(z**4 + z**4 + z**4).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88015 and 4958130.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -48. Let g = u - -39. Suppose 2*s + g = 7*s. Solve v - 3*v - 4*o + 4 = 0, -s*o + 17 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*u + 11*i - 8*i, 31 = -5*u + 4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose t - b*t = -5. Put -0.1, t, 0.3 in descending order.\nAnswer: t, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6212 + 6389 - (107 - 3)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)*-4 - ((-1*sqrt(154))\/sqrt(11) + sqrt(14)))\/(1*(sqrt(72) + -2*sqrt(72)*4 + sqrt(72))).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w**4 + 283242 - 5*w**5 - 145*w**3 - 283242 + 195*w**2 - 90*w + 0*w**5 = 0. What is w?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*-1)\/sqrt(12).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 3, m: 1, v: 2, a: 9}. What is prob of picking 1 m, 1 a, and 2 p?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -g. Let v = g + 2. What are the prime factors of 2\/v + 21\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*o - 2466*o - 7130 = -1135*o for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868158 is divided by 17963.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*1*sqrt(567) - (-4*(sqrt(1008) + sqrt(1008) + 0) + 5))**2.\nAnswer: -2376*sqrt(7) + 122049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 57.923. Let v = 0.07700014 + h. What is v rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 163, 174, 185, 196?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, 3\/7, -2\/9, 2\/137, -3\/34, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1981836 by -4.\nAnswer: -495459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4037087 and 0.24.\nAnswer: 968900.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21)*(54 + -55)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {f: 3, v: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2035 (base 16) to base 6.\nAnswer: 102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/5838 and -33\/10.\nAnswer: 29190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and -7.8?\nAnswer: 2.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/10 - 3*q**5\/20 + 49*q**4\/6 + 5*q**3\/6 - 114*q**2 + 51*q - 10. Find the second derivative of w(d) wrt d.\nAnswer: 36*d**2 - 18*d + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 665 = t, 17*m - 13*m = 5*t + 2665. What are the prime factors of m?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 4, x: 2}. Give prob of picking 2 j and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -52551.\nAnswer: -52545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.1, 4, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3569\/72 - -145949\/2952. Calculate the common denominator of p and 49\/27.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 33*h = -228. Put -4, h, 1, 7 in descending order.\nAnswer: h, 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -2*r + 2 + 25\/2*r**2 + 0*r**6 - 1\/12*r**4 - 5\/42*r**7 + 0*r**3 + 6\/5*r**5. Find the third derivative of w(h) wrt h.\nAnswer: -300*h**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 499*h. Let x(l) = -6*l**2. What is m(x(b))?\nAnswer: -2994*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -82, -123, -166, -211, -258, -307?\n\"Answer: -f**2 - 36*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7086243 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*a + 530*a - 275*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 424708.\nAnswer: -424684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose 7 + 40 = 4*q - 5*c, 0 = -q - 4*c - 4. Solve -f = -w + q, h*w - 28 = -0*f + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - -3024?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257\/4 + 194\/3. Let b = -118\/7 + 341\/14. Calculate the common denominator of v and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-35)\/(-56)*2*132\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 8:14 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296 + 305. Suppose -5*t = -2*p + 8, p - 5*t = -4*p + 20. Solve 0 = y - p*y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 54. Let c be d(13). Let h(p) = -p**2 - 4*p - 1. Let a be h(-3). Solve c*m = 6*z - a*z - 14, -2*z = -4*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -820 - 1670 - 921 + 323 + 4207*z**2 wrt z.\nAnswer: 8414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 276 = -5*y, 2*h = -2*y + 264. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -112471*a**2 + 625*a - 623. Let q be w(1). What is q rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1401037 = -2*f, -2*f + 377 = 367. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s**3)**(-7)*(s**1)**(-5\/14)*s**(-3\/5)*s*s**4 assuming s is positive.\nAnswer: s**(4203\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1120, 2221, 3312, 4387, 5440, 6465, 7456?\nAnswer: 8407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 26*j + 4118 = 116*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4.5. Let y = -658\/5 - -132. Suppose -2*c - 20 = 5*d, c - 6*d + 2*d = 16. Sort l, c, y.\nAnswer: l, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and (-5)\/(-3)*9324\/140.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*c, 0 = b + 3*b + 2*c + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w**(10\/7) assuming w is positive.\nAnswer: w**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 1, y: 1, c: 7}. What is prob of sequence cm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 29. Let t = 3\/1970 + 32499\/3940. What is the common denominator of t and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 60. Let g = -30 + a. Let m(i) = -3*i - 15. Does 5 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*z = -7, -3*d - z - 4*z - 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -826, -838, -866, -916, -994, -1106, -1258, -1456?\n\"Answer: -h**3 - 2*h**2 + h - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 869.0073 decades?\nAnswer: 8690.073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r + 1. Let l(j) = 2*j**2 + 2*j + 2. Let s(f) = -5*i(f) + 2*l(f). Calculate s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3955372.9931 - -3955201. Let j = 172 + k. What is j rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31439*f - 77 = 4*x - 31440*f, -3*x - 3*f - 54 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 833 divided by -799\nAnswer: -49\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/3, 1\/2, 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3333*h**2\/5 + 114672*h\/5 = 0.\nAnswer: 0, 38224\/1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2507115*p - 4788246.\nAnswer: -2507115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.49 - -0.39. Let r = 9.9 + -9.8. What is the closest to v in 1, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1239491*g**3*j*x + 7*g**3*j + g**3 - 10*g**2*j*x + 31*g**2*j - 47*g*j - 12*g*x + 8*x wrt g?\nAnswer: 7436946*j*x + 42*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 7*m - 62, 0 = -z - 3*m - 122 + 136 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 53159 = -8*j, 4*p + 21415 = 2*j + 8149. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Let r(i) be the second derivative of 0*i**3 - 1\/18*i**v + 0 - 1\/30*i**5 + 2*i + 0*i**2. Solve r(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x - 2. Suppose 0 = 3*r - 33 + x. Let h be (r\/1)\/((-6)\/(-4)). What is the highest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocvn when four letters picked without replacement from {o: 1, n: 1, c: 1, v: 1, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/189 - (-60)\/14. Suppose 5*m - n*c = -2*c + 530, m - 109 = c. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178120 divided by -730.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (29 - 12)) + -18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 29707*j**3 - j**2 + 10*j + 1. Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 11 + t**2 + 7*t**2 - t**2 - 9*t**2. Let o be u(4). Let k(x) = x + 6. Calculate k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2\/(-4)*-2. Let f = 74 - 72. Suppose v - q = -2, -4*v - 1 = -f*q + x. Solve v = -5*a + r - 6, -8 = 3*a + 3*r + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 277, -11, -2, 2907 in ascending order.\nAnswer: -11, -3, -2, 277, 2907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -61998 + 2\/(-4) + (-3)\/2. What is i rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128419?\nAnswer: 3, 173, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*o - 5 = 0, 0 = 4*d + 4*o - 6*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 42 = -4*y - 9, y + 4*b - 22 = 0. Solve y*j + 6 = 4*h, -7*j + 24 = -4*j + 5*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1228*r + 2*r**2 - 69 - 1227*r - 12*r**3 - 4*r**2 wrt r?\nAnswer: -72*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmh when three letters picked without replacement from jiljihimjjlljil.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 50.000000707. Round p to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -126 + (1 - (-3 + 0)) + -4. Let n = l + 124. Which is greater: 21 or n?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (16 + 8 + -20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + y**2 + y + 2. Let h(t) = -431*t**3 + 3*t**2 + 237*t + 6. Let k(d) = -h(d) + 3*v(d). What is the second derivative of k(f) wrt f?\nAnswer: 2622*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -298, -322, -356, -400?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28179657 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + c + 6 = -1, 0 = 3*w + 2*c - 12. Suppose h = -4*x + 13, -2*h + 0 + w = 0. Suppose 0 = -0*a + x*a - 45. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -2\/3*p**3 + 0 + 4*p + 0*p**2. Let s(q) = 3*q**2 - 25. Let d(t) = t**2 - 5. Let w(v) = 5*d(v) - s(v). What is x(w(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 4. Let n be a(-5). Is -5 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1611456 + -23?\nAnswer: -1611480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/6 + 4*l**3 - 8*l**2 + 4*l. Let g be w(11). Solve -a + 0*a - 5 = -d, 4*d - g = -3*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342141 (base 5) to base 4.\nAnswer: 2332023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.3. Let b = 5.1 + p. Let y(x) = 670*x + 665. Let m be y(-1). Sort b, m, 1\/4 in decreasing order.\nAnswer: b, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 9. Let r = 3 - c. Let i(l) = -l**2 - 11*l + 37. Let u be i(-12). Solve -x - u = -r*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*w = -24*w + 335 + 403. Let x(q) = q + 4. Let o be x(4). Solve -o*c + 10*c = -w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, 3\/65, -8, 0.7, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1662501564 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45968 + 61035556.\nAnswer: 61081524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqffqq. Give prob of sequence fq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let k(t) = 10*t - 1. Let r(o) = k(o) + p(o). Let f be r(0). Put -23, 3, f in decreasing order.\nAnswer: 3, f, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635242*d**2 - 317638*d**2 + 0*d**3 - 317604*d**2 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3812*b - 56. What is the units digit of l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70228902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/6 - 4)*36\/(-132). What is the closest to -0.1 in 3, -177, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 4, -4, -2.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85237*n - 51*n**3 + 54*n**3 + 170472*n - 85235*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 + -438. Put -2, 6, q in decreasing order.\nAnswer: q, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 26792 = 4*z - 26776, 20*v = 5*z + 50 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/9 and 37\/7624002?\nAnswer: 22872006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6479382.\nAnswer: 2, 3, 7, 13, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y + 52. Let l(z) = 10*z - 27. Calculate 6*b(s) + 11*l(s).\nAnswer: 8*s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l. Let q(f) = 14*f**2 + f - 1. Calculate -2*b(y) + q(y).\nAnswer: 16*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.281.\nAnswer: -2.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o + 16, -5*l + 3*o + 12 = 0. Suppose l = 4*h - 2 - 2, 2*r + 4*h = 14. Suppose 15 = r*n - 0*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -25, -4, 0.045, 5\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12 and -23\/4284.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 5*d - d - 5*s, 2*s = -4. Suppose 5*g = 16 + d. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-120)*(-40)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130413 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -213906, 9, -0.2, 1\/9 in increasing order.\nAnswer: -213906, -1\/3, -0.2, 1\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21918, -21865, -21812?\nAnswer: -21759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 3. Let d(w) = 4*w + 3. Let f(p) = -3*d(p) - 2*o(p). Let s be f(-3). Suppose s*k + 4*k = 676. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66ae + c?\nAnswer: -66a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 + -36. Is d a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3507*a**2 - 1469*a**2 + 1969*a**2 in the form s*a**2 + l*a + p and give s.\nAnswer: 4007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13340237 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 12*c. Let o be d(8). Suppose -i = 3*i - o. Suppose 0*p = q + p - i, p = 5. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 9*q**2 - 13. Give f(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/139, 0.92, 2\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) + 6\/72. Let u(t) be the second derivative of 1\/6*t**3 + w*t**4 + 0 - t**2 + t. Factor u(y).\nAnswer: (y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**9\/504 - j**5\/10 - 5*j**2. Find the third derivative of z(x) wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) -5 (c) -4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520536 by -35.\nAnswer: -520536\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -53\/14, -0.2, 5, -1?\nAnswer: -53\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2454*h + 13616 = -1039*h + 3137 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, -6, -19 in descending order.\nAnswer: 173, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -6 (c) -0.1 (d) -145 (e) -0.4 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.1 + -34. Let m = -1.4 - x. Let r = 1 + -2. What is the closest to r in 0.1, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n**(1\/9))**(-12)\/((n\/(n*(n*n*n*n*(((n*n**(-1))\/n)\/n)\/n)\/n))**(-36))**1 assuming n is positive.\nAnswer: n**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 4. Let s be y(3). Let w(o) = o**2 + 2*o - 19. What is the units digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**5 + 25*d**4 - 30*d**3 - 10*d**2 + 35*d - 15 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 274400 at least 274399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 607.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362 - 2?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 2*y**2 - 2*y + 2. Let s be t(2). Suppose -2*i - 2 = -s. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.57868 or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 + -48. Let n = b + -12. Is n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.61 in -5, 2, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6584.72 to the nearest 10.\nAnswer: -6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrwrrwrwwwwwwrwrr. Give prob of picking 4 r.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 2*l. Let v = 0.72 + 0.08. Let b = 4.2 + v. Sort b, 0.4, l in descending order.\nAnswer: b, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.9 - -101. Let u = x + -4. Let w be (-3 + 1)\/(-46 + 42). Which is the nearest to u? (a) 0.3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/15 + (-12)\/15. Let c be (-6)\/15 + 86\/(-10). Let l be (-3)\/c - 50\/114. Is y smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7050.42 kilograms to milligrams.\nAnswer: 7050420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 22, 2, -279, 3 in decreasing order.\nAnswer: 22, 3, 2, -1, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 + 9*m**3\/2 + 67*m**2 - 102*m. Let r be w(17). Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1c?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/297)\/(408\/3366).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107, -88, -41, 46, 185, 388, 667?\n\"Answer: 2*c**3 + 2*c**2 - c - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -100. Suppose -13*u + 846 = -g*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -70. Suppose 2*x - q = -14*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799a (base 11) in base 6?\nAnswer: 1251451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.9. Let u = 4398.941 - 4397. Let r = 0.059 + u. Which is the nearest to -0.1? (a) r (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 9. Suppose 19 + r = 2*v. Calculate the remainder when v is divided by 57*(-2)\/(-9) + (-8)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1348*k**5 - 2*k**4 - 9*k**3 + 1955821*k**2 wrt k?\nAnswer: -80880*k**2 - 48*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-8)\/(-76) + 2428\/38. Calculate the greatest common divisor of j and 460.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p - 3. What is i(-9)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*k + 2*a + a, -5*k + a = -72. Let y(r) = -r**2 - 12*r + 4. What is the remainder when y(-6) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525735 by 175245.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**2 + 41*n**2 + 21*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.97 + -21.13. Let i = -26 - h. Which is the nearest to 0.1? (a) 4 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203461 to the power of 1\/2, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 14*i - 11*i)*(1 - 2*i**2 - 1)*(7*i**2 + 16 - 16).\nAnswer: 252*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2480 - 6*y**2 - 5001 + 2520.\nAnswer: -6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.759, 2\/11, -1\/8, 1\/4, 0.2, 3 in increasing order.\nAnswer: -1\/8, 2\/11, 0.2, 1\/4, 0.759, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18388 times -12\nAnswer: 220656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/100*425\/510?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 16)*(-3 + 2). Let g be (-1)\/3 + 175\/m. Let u = -5 - g. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12135 - 33845 = -4*l. Let p = 6678600\/581 - l. Let v = 29105\/6391 - p. What is the common denominator of 77\/2 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*32\/(-504)*14?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90177, -180357, -270537, -360717, -450897?\n\"Answer: -90180*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -22. Let i(s) = s - 3. Let w be i(5). Let x(v) = 49*v + 1. Let p be x(w). Calculate the greatest common factor of p and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101012012 + -11?\nAnswer: -101101012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -1 - -7) + 1 + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159560 - 60697. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8*h + 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6685, 14 in increasing order.\nAnswer: 0.4, 14, 6685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*m + 21126, 42*m - 42224 = 38*m + u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(-6)*5\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 1\/(3\/51). Let u = i - -42. Calculate the lowest common multiple of u and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15484271, 30968560, 46452849, 61937138?\n\"Answer: 15484289*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*o + o - 2*h, -4*h = 5*o - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -54173.\nAnswer: 5\/54173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.00231857 rounded to 4 decimal places?\nAnswer: 6.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 6, 14, -2 in increasing order.\nAnswer: -2, 6, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (406\/(-87))\/(16\/(-12) - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*j - 3, 2*j - 18 = 3*l - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 8 = -g. Suppose 4*q + 5 = g. Let v be 0\/((-16)\/9 - 2\/q). Solve -5*m + 40 = -4*a, 3*m + v*m - a = 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6*53004\/(-10096).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 - 102*u + 497 - 154*u + 254*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 13*k - 13*k)*(2*k + 3 - 3)*(4*k - 2*k - k) to n + f*k**2 + r*k**4 + a*k**3 + y*k and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**4*b*b\/((b\/(b*((b\/b**(5\/4))\/b)\/b))\/b)*b**(1\/4)\/b)**(-34) assuming b is positive.\nAnswer: b**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -34 - -3 - (-4 - -3). Let s be (-5)\/p + 743999\/6. What is s rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 285.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 1639 - 57097*v + 114198*v - 57101*v to the form x + b*v**2 + n*v and give x.\nAnswer: 1639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730921.\nAnswer: 1730921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32956 (base 11) to base 12\nAnswer: -2375b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 12. Let p(q) = -q**3 + 11*q**2 - 3*q - 13. Let y be p(7). Is -2 - (-2)\/(x\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770*d = 773*d + 12. Let o(g) = -1327*g - 15. Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28163259 by 2.\nAnswer: 28163259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 p, and 1 g when four letters picked without replacement from {n: 1, e: 8, g: 2, b: 1, p: 2}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcckccllkcccwll. What is prob of sequence ccwl?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14233 + -14230. Solve -2*k = n*o - 6*o, 0 = 5*o - 5*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(120)\/sqrt(2)*3)\/(2*(sqrt(72)\/sqrt(6) + sqrt(12) + sqrt(12)) + sqrt(12)))*-2.\nAnswer: -6*sqrt(5)\/7 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 136 - 186)*(40 - 40 + 62*x**2) in the form z*x + v*x**2 + g and give v.\nAnswer: -6758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. What is the second derivative of 3*i**2 - 3*i**2 - i - 4*i**c + 6*i**2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -12.1, 6, -5.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 884, 1742, 2600, 3458?\n\"Answer: 858*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 9. Let m be i(7). Let k = 1.05596 - 0.05596. What is the closest to k in -1, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -123, -191, -271, -369, -491, -643, -831?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196078036 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -88. Suppose -3*j + 1 = -2*j. Solve l*c = t + c - j, 7 = -t - c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.2 (c) -0.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -5, 5, -0.4, -0.225?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 1. Let l(a) be the second derivative of 2*a**4\/3 + 7*a**3\/6 - 4*a**2 - 9*a. Calculate l(v) + 6*n(v).\nAnswer: 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose 2*a + 12 = f*a. Suppose 0*k - k = -2*p - 1, 0 = 4*p + 2*k + a. Which is bigger: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(22)\/(3*sqrt(11))))\/(sqrt(48)\/(4*sqrt(12)\/sqrt(3))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 4*f - 16. Let z be 4 + (2\/f)\/(9\/54). Sort z, 2, -5 in descending order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*x - 2184*x - 44*x.\nAnswer: -2026*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19576?\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 65*s + 228. What is the thousands digit of r(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c - 1. Let t(u) = -15*u**2 + 6*u + 4. What is 3*p(w) + t(w)?\nAnswer: -12*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 2*z**3 - 130 + 388 - 129.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + -6*(3*(0 + sqrt(1331)) + -5))**2.\nAnswer: -11484*sqrt(11) + 432085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - -17. Let s = -5 + d. Let c = -86.99906 + s. What is c rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 42*t**3 - 132*t**2 - 120*t.\nAnswer: -3*t*(t + 2)**2*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 185*k**2 + 11. Let z be a(-9). Let v = z - 3796. Round v to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 16*l**2 + 199*l + 507. Give c(-14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -31.348546.\nAnswer: -31.348546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*z = -3, -j - 142*z + 137*z - 11 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (876\/(-8))\/((-2)\/(-4)). Suppose -4400 = -2*w + 22*w. Is w greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 3*f + 62 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(171)*1 + sqrt(171))\/(sqrt(27)\/sqrt(108)))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*z = -z + 12, 3*z = 0. Suppose -3*u + 44 = -2*u - 5*n, -32 = -u + 2*n. List the prime factors of u\/4*(-4)\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9670 = -2723*q + 713*q - 32182 - 29748 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 15. Let j(x) = -2*x - 528*x**2 + 2*x + 527*x**2. What is j(y(g))?\nAnswer: -4*g**4 - 60*g**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*j + 3*d*l**2 - d*l + 435*j*l**2 - j*l + 1349*j + l**2 - 19 wrt l.\nAnswer: 6*d*l - d + 870*j*l - j + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/sqrt(8) + 5 + sqrt(27).\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -19*n + 21*n. Let z = 93 + n. Let o = z + 378\/5. Does o = -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-207)\/6)\/23)\/(3\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 1. Let p(h) = 3*h**2 - 29*h + 11. Let z be p(9). Let l(x) = -3 - x + 6 + 7*x. Give z*v(q) + 2*l(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from psmjw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4541, 18339, 41327, 73499, 114849, 165371, 225059, 293907?\n\"Answer: -t**3 + 4601*t**2 + 2*t - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12964967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 170*b**2 - 374 wrt b.\nAnswer: 340*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613398 is divided by 1432?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzll when four letters picked without replacement from {l: 2, z: 1, w: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {n: 2, x: 9, o: 1, c: 1, s: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o**2 - 11*o + 1. Let n(m) = 9*m**2 - 9*m. Let r(v) = -6*c(v) + 7*n(v). Solve r(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3375 and 50.\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {g: 2, n: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**0\/o)*o*o)**(-3\/46)*(o\/(o**0*o))**(-14\/11))**(6\/7) assuming o is positive.\nAnswer: o**(-36\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w + 2*w + 12*w)*(-61*w + 15*w - 11*w) in the form h + k*w + z*w**2 and give z.\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 1. Calculate the remainder when ((42\/6)\/7)\/(2\/124) is divided by m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*j + 2303 = -947, 4*q + 5*j = 13200. What is the lowest common multiple of 329 and q?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1311114 and -89\/10602.\nAnswer: 3933342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 3.2. Let m = 2 - x. Let l be ((-20)\/(-30))\/((-16)\/6). Which is the closest to 1? (a) l (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -533, -553, -573, -593?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = -25, 4*v - z = 565. Let i = v - 38. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/6*(-44)\/(-484).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37967578?\nAnswer: 2, 11, 89, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3586 or 3590?\nAnswer: 3586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*s - 11301 = 2301 + 38918 for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7454421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by 5.\nAnswer: -161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - v + 1. Suppose 8*r - 9 = 11*r. Let z be (r - 5\/(-5)) + 3. Let l(k) = k**3 + 2*k**2 - 2*k + 2. Calculate z*l(y) - 2*w(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (4 - -2) - -8) + -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 2\/3*n**3 + 0*n - n**2 - 1\/40*n**5 + 0*n**4 + 0. Let h(w) be the first derivative of c(w). Let i(z) = -z. Determine h(i(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -7*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -704.00000601 - -704. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 25.2. Let u = 0.2 - x. Let d = 6 + -5.9. Which is the closest to d? (a) 2\/9 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 17*r**2 + 51*r - 8. Give h(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + b. Let d be q(-1). Let w(n) = 10*n - 1. Let v(a) = a. What is d*w(p) - 6*v(p)?\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/((-6)\/(-132)). Let z = c + 16. Suppose j - 2*j + 519 = 2*h, -z*j = 3*h - 2560. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, g: 2, w: 1, d: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7*2)\/(8\/4). Let m(l) = l**3 - 7*l**2 + 2*l - 7. Let i be m(x). Suppose -6*u + i*u = 18. What is the least common multiple of 20 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144322 (base 5) to base 12.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 - 5540*h**2 + 5*h + 5540 = 0. What is h?\nAnswer: -1108, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 5 - 5 + (2*z**3 - 4*z**3 + 3*z**3)*(-2*z**2 - 2*z**2 + 2*z**2) + (-1 + 2*z**3 + 1)*(z**2 - 1 + 1) - 11 - 5*z**5 + 11.\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(200) + -3) + sqrt(200) + (3*sqrt(72) + 4 - sqrt(72) - sqrt(72)) + sqrt(72))**2.\nAnswer: -1064*sqrt(2) + 1927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -121?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 1. Let p(u) be the second derivative of 7*u**4\/6 + u**3\/6 - 2*u**2 - 12661*u. What is 3*p(j) + 8*t(j)?\nAnswer: 2*j**2 + 3*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5409*s**2 + 6*s - 5. Let u be z(-4). Does 44 divide 1\/(-6)*-2 + u\/429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282145285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3024 - 433424?\nAnswer: -430400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389973 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 7*b + b)*(2375*b**2 + 2*b - b - 2589*b**2).\nAnswer: 1070*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)**(-1\/58)*(((f*f*f**6*f*f)\/f)\/f)\/((f**(-6)*f)\/f))\/((f*f**(-2\/7))**(-2\/97)\/(f\/f**(1\/2))**(-1\/9)) assuming f is positive.\nAnswer: f**(12390541\/886095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 smaller than 41.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b**2 - 3*b**2 + b**2)*(-94 + 94 - 8*b**2) - 14*b**3 - 5*b**4 + 14*b**3)*(0*b + 3*b - 2*b).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(-3 + -2*sqrt(1053) + -5)*-1)**2.\nAnswer: 64800*sqrt(13) + 962100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2126077 < -2126074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/((-2)\/(-30)). Suppose -5*m + 235 = -3*l - 7, -2*m + 96 = -l. Let r = -21 + m. Calculate the greatest common factor of r and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 72708?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1625 - -5453. What are the prime factors of d?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x + 12. Suppose -a + 2*a - 14 = 0. Calculate the smallest common multiple of a and x\/(-6) + 104\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*j + 431*j = -51. Let x(d) = -5*d**3 - 9*d**2 + 5*d + 7. Let a(s) = 2*s**3 + 5*s**2 - 3*s - 4. Determine j*x(o) - 5*a(o).\nAnswer: 5*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 - 5*p - 9. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3 + 11, 20 = -4*v + 5*d. Sort v, 2, 19, 5 in descending order.\nAnswer: 19, 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3525 is divided by 382.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3.78, -1\/6 in ascending order.\nAnswer: -1\/6, 0, 3.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 5. Let h be z*(1 - 6\/4). Solve 3*d + n + 0*n + 10 = 0, -4*d - 8 = h*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 0 + (-2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 12*b - 13160. Let d = -492 - b. Find the third derivative of -28*l**2 + 1388 - d - 26*l**4 wrt l.\nAnswer: -624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*b - 13 + 74, -4*h + 119 = 5*b. Let w be 8\/36 - h\/36. Let g(u) = -u - 1. Let k be g(0). Which is bigger: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 + 5*d**4\/3 + d**3\/6 + 5*d**2\/2 + 5*d. Let x be t(20). Suppose 0*a = -a + x. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25877 - 0.18277. Is 6\/5 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6155307 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13 + x**2 + 8*x + x**2 - x**2 + 3*x. Let t be m(-9). Suppose -y = 3*z + 9, -5*z = -y - 0*y + 15. Sort t, y, 3.\nAnswer: t, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**3 - 17*y**3 - 21*y**4 + 13*y**3)*(-49 + 12 + 1) to p + l*y**3 + f*y + g*y**2 + u*y**4 and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.131519 millennia to months.\nAnswer: 1578.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11055 and 1320.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4)*a)**(-2\/19)\/(a**2*a)**2 assuming a is positive.\nAnswer: a**(-235\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 29*q + 144. Let g be w(-25). What is the highest common divisor of 484 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0373096788 to five dps.\nAnswer: 0.03731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**4\/3 + 25*a**3\/6 + 24*a**2. Suppose -5*t + 6*i - i = -40, -5*i - 18 = -3*t. What are the prime factors of z(t)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -141734, -567364, -1276902, -2270348, -3547702, -5108964?\n\"Answer: -141954*a**2 + 232*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 5*f - 22 + 62, 2*x - 2*f = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-2*sqrt(1296)) + (-3 + sqrt(8) + -1)**2.\nAnswer: -385*sqrt(2)\/24 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225609 (base 12) to base 2.\nAnswer: -10000101111100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + b?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109174 is divided by 903?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {v: 9, b: 3, p: 1, n: 1, i: 2, s: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/84 - (-7)\/(-10) - (-220)\/(-400)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s - s = -3*s + 56 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 1.15. Let x = n + 0.4. Let w = 0.35 + x. Which is the second biggest value? (a) 1 (b) -9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -663 and -73322057.\nAnswer: -73322720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - 39170\nAnswer: -39168.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 8. Let g = o - 29. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)\/sqrt(3) - sqrt(20) - (sqrt(20) + (sqrt(160)*2)\/sqrt(8)))\/(sqrt(30)\/(3*-1*sqrt(3))) + 0.\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:08 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:21 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283102 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 = -2 + -13. Let b(i) = -i**3 - 16*i**2 - 60*i + 21. Is 82 a factor of b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, 1\/2, 49, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1871580 and 17\/22.\nAnswer: 20587380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -l + 91. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + m**3 - 5 to s*m**3 + f*m + d + g*m**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k - 3*k - 3*k + 19*k.\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -35. Suppose -o = -4*r + 206, -r - 5*o - u = -107. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40)*-6 - sqrt(40))\/(sqrt(80)\/(sqrt(60)\/sqrt(6))) - (4 + 5*(sqrt(150)\/sqrt(5))\/sqrt(6))*6.\nAnswer: -19*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 208 = -13*h. Suppose -h*q + 30 = -51*q. Calculate the greatest common divisor of 75 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r + 1. Let w(d) be the third derivative of d**5\/30 - d**4\/8 + d**3\/2 - 189*d**2. Let g be (3 + -5)\/((-4)\/(-6)). What is g*j(l) + w(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:50 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 300833 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96))\/(sqrt(18)*6).\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 70*o + 33*o + 1740 = 22*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -131186.5704 to the nearest 1000.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 399 + 1855. Let f = 148 + k. Let z = f + -41. Solve z*t = 4*d + 24, d - 3 = 6*d + 3*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {y: 4, l: 3, g: 2, q: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*f - 39*f = 167*f - 67*f + 15548 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 16. Give q(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/99 and 55\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*n**2 - 1 - 46*n**2 - 9*n**2 + 17*n**2 - 2*n**3 + 11*n**2 in the form g*n**3 + t*n**2 + y*n + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(1*(-1*sqrt(539)*2 + sqrt(539)) + (2 + sqrt(539) + -1 - sqrt(539) - (-2 + sqrt(539) + 1)))**2.\nAnswer: -12963 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)*l*(l**(2\/5)*l*l)\/l assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1935 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 smaller than 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:39 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/12 - 39\/(-9). Is (-10 - 5)*(-31)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2314598860 divided by -4.\nAnswer: -578649715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (-23 + 6 + -10 + 30)) + 52.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 20 + -21 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6647 - 0.1647. Put 2, 18\/19, x, -1\/4, -1 in increasing order.\nAnswer: -1, -1\/4, x, 18\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r + 5*f + 14 = 0, 0 = -5*r - 5*f. What is the third derivative of -6*g**2 + 9*g**r + g**3 - 2*g**2 - 14*g**3 wrt g?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23593 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b - 174. Suppose -23 = 2*a + 5*s, -s + 0*s = -3. What is c(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -184*d**3 - 80*d**2 + 20607?\nAnswer: -552*d**2 - 160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 336413 times 166\nAnswer: 55844558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = 3*v. Let m = v + 3. Calculate the remainder when 29 is divided by ((-10)\/(-7))\/(m\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 8. Suppose -47 = -w - v*k, 2*w = -w - k + 155. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10*p = 0. Suppose -460 = -15*a + 10*a. Suppose p = s + 3*n - 7 - 1, 3*n = 4*s - a. Solve 3*k = -2*k + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/90)\/((-1)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-2)*v))\/(v*v\/(v**0*v*v)))**(-2\/51))**(-4) assuming v is positive.\nAnswer: v**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5802 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 2*j - j + (2 - 3 - 2)*(j + j + 0*j) + (-2*j + j + 2*j)*(16 + 24 - 58).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 4, -3, 39 in descending order.\nAnswer: 39, 4, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -499834610.\nAnswer: -499834610.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 1. Let p(g) = 53*g. What is h(o) - p(o)?\nAnswer: -49*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 68. Let v = 0.083 - 37.283. Let h = n - v. Round h to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/28 and 103\/246?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -32*y**3 + 2*y + 1. Calculate the remainder when 105 - (-34 + (-24 - -49))*(-28)\/18 is divided by u(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47921230139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 17558667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -0.2. Suppose -z + p - 4 = -2*z, -5*p = 4*z - 17. Suppose z*m - 6 = 9. Sort m, y, -2\/9 in descending order.\nAnswer: m, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*0 + 2. Let i(j) = 4*j + 2. What are the prime factors of i(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26925 - -0.13925. Let q = -463\/34 - -14. Let y = 2\/17 + q. Is y at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gul when three letters picked without replacement from {l: 4, u: 5, g: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 6953.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5126, -5126, -5130, -5138, -5150?\nAnswer: -5166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v. Let j(o) be the first derivative of -3 - 3 + 7 + 1 + o**3. Give j(t(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2551, 5103, 7655?\n\"Answer: 2552*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -408.88 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7109, 2\/87, -10 in ascending order.\nAnswer: -7109, -10, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 1 + sqrt(275) + sqrt(275)) - ((1 + sqrt(11) + -1)*-5 + -3)) + 4.\nAnswer: -55*sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -52, -75, -78, -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-8256)\/(-430))\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58483 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l - 237 + 591 = 0. Solve -4*y + 1 = 5*h + 16, -l = 4*y + 2*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2. Let z(w) = 7*w**2 - 1. Determine z(j(b)).\nAnswer: 63*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -7236\/109?\nAnswer: -7236\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*x - 27*x - 85*x**2 + 50*x in the form o*x + l*x**2 + w and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 2 q when four letters picked without replacement from qxxeffqqfffqqffrfq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 = 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/(u**(-5\/4)*u)*(u**0)**(3\/16))\/(u**(-8)*(u\/(u*u\/((u**10\/u)\/u))*u*u*u*u)\/u*u)**(2\/7) assuming u is positive.\nAnswer: u**(95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*c + 32, -5*c = -f + 12 + 11. Suppose 0 = 4*i - 2*l + 3*l + 9, 3*l = -4*i - 3. Sort 8, i, c in increasing order.\nAnswer: c, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51016376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2808.\nAnswer: -1123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.97 + -0.09. Let d = -0.12 - f. Let c = 9 - 5. What is the biggest value in c, d, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d - 965 - 2455 = 0. What are the prime factors of ((-120)\/(-57) - 2) + (-182274)\/d?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 10) in base 5?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)*g**(-2\/3)\/g)\/(g**(2\/7))**(-30))**(-37))**(-4) assuming g is positive.\nAnswer: g**(62308\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 9*m - 208*m**2 + 9*m.\nAnswer: -189*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113729835 is divided by 9047?\nAnswer: 9045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3, 3*n - 7 = 86*r - 84*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 - 1356*d + 2728 = 0. What is d?\nAnswer: -341, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156825 and 3.\nAnswer: -470475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 13) to base 7.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*3\/(-18)*4. Suppose -4*y + 50 = -x*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21916, 21780, 21644, 21508?\n\"Answer: -136*p + 22052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 5. Let p be y(-9). Suppose 0*l + 9 = -3*w + 3*l, -3*w + 5*l = 17. What is the remainder when 4\/((-16)\/(-1))*p is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2, 0.01787, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.26 - -1.36. What is the nearest to 0.1 in 2\/5, u, 2, 2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.51098 less than -44751074?\nAnswer: -44751075.51098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*i**3 - 39*i**3 - 18*i**3 - 35*i**3 - 2*i**2.\nAnswer: -30*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 124 = 112 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -1214, -1841, -2480, -3131, -3794, -4469?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5564326275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - ((-17 - -8) + 18 - -8)) + 6 - 23.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/6 + 14*z. Suppose x + u = 7, 0 = 3*u - 4*u + 5. Let v(h) = 107*h + 4*h**x - 107*h. Calculate k(v(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 426.4 + -480. Round f to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -206. What is the biggest value in -1\/7, h, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2803 + 0)*(3392 - -1). Let i = 14410579 + v. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 9 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 57*p - p)*(p**3 - 3*p**3 + 4*p**3).\nAnswer: 98*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -418? (a) -5 (b) -0.2 (c) 0.4 (d) -38\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 321370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -7. Let m be 66\/54 - (g + -2). Which is the smallest value? (a) m (b) -0.2 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354582\/35 + -10129. What is the common denominator of -61\/5 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 4)*(0*f + 3*f - 2*f)*((-f + 3*f - 3*f)*(-2 - 2 - 2) + (-4*f + 0*f + f)*(7 - 4 + 1)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/14)\/((-1)\/(-24)). Let u = -1 + f. Suppose -5*k = -k - 308. What is the highest common factor of k and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*g - 9 - 3, d + 3*g = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9896 + 5996. Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let t(m) = -m - 1. Let y be t(-4). Is 232\/y - w\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0274356 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(125))**2 - (sqrt(1280) + 3 + sqrt(1280))) + -4.\nAnswer: -52*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) + 19\/38 + (-1282)\/(-12). Solve 116*r - 63 = i*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*n - 3493, -2*j + 1406 = 2*n - 3*n. Suppose -j - 217 = 34*t. Which is the third biggest value? (a) t (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 865900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 - 7*m**3\/3 + 2*m + 7. Let a be g(-7). Are a and 7\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c - 14. Let y be v(-5). Let a = y - -230. Calculate the highest common factor of 53 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5033086um?\nAnswer: 0.00005033086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61019010 and 2340?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -55, -1, 22, -2, -3 in decreasing order.\nAnswer: 22, -1, -2, -3, -8, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25056*f + 25089*f + 441 + 186 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from qwvmcqvwvvvqpqvwwppm?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 64\/60. Let n = -0.056 - 22.944. Let t = n + 24. Which is the nearest to 1\/3? (a) v (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:08 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7 - p**2 + 10.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 368, 4, -4 in increasing order.\nAnswer: -4, 4, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6 - 29 + 10 - 25 = -5*h, -b = 21*h - 150 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 235514888*a - 235514884.\nAnswer: -4*(a - 58878721)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 21 = 0, 5*g - 38*b = -0*g + 353 - 102 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*t, -8 = -3*t + 4*b + 2. Suppose 0 = t*s - 4*x + 2 - 96, 3*x + 221 = 5*s. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 4*b**3 - b**3)*(6 + 0 - 3) - 19*b**3 + 15 - 15 - 5 + b**3 + 2*b**3 - b**3 + (0*b - 3*b + b)*(-2*b**2 + 2 - 2).\nAnswer: -19*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 3*j - 1. Let f be t(1). Let r be -76 - (-2 + (-2)\/f). Let y = -40 - r. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -14 + 41 + -23 + 28?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/360 - c**5\/15 + 7*c**4\/24 + 4*c**3\/3 - 3*c**2. Let x(y) be the first derivative of q(y). Calculate x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(12\/5)\/z**(-17) assuming z is positive.\nAnswer: z**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1752*h**2 - 3*h + 12. Let d(i) = -113876*i**2 + 196*i - 784. What is 3*d(n) + 196*y(n)?\nAnswer: 1764*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -65, 1\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146 and 9684910?\nAnswer: 9684910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -63. Which is bigger: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1090, -1\/103, 0.03, 1?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-5)\/60*9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - (2 - 6 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 53638*d - 107708. Determine l(2).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8031.\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 - 2*r - 1 - 12 - 59*r + 48*r**2. Let t(w) = 9*w**2 - 15*w - 3. Let c(j) = 26*t(j) - 6*x(j). Find the second derivative of c(n) wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 2:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011101100 - 100?\nAnswer: 110011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 544 = d + 140, -3*d - 216 = -2*j. Let p = j + -18. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let r be 2\/(-8) - (-45)\/u. Let c = 13 + r. Solve 6*t - c = 3*t + 4*j, -2*j + 2 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/7, 0.4, 2 in ascending order.\nAnswer: -3, -2\/7, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let a be (-15)\/9*(-3 - -6). Let b be a - 2\/(1 + -3). Let s be 34\/8 - (-1)\/b. Determine o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -43. What is the lowest common multiple of r and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 6) to base 5\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-136)\/(-378) + 98\/(-1323). Which is the closest to -1? (a) -2\/13 (b) -0.3 (c) n (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42 (b) -2\/95 (c) 0.9 (d) 5 (e) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 5 = 0. Suppose -4*d = -4*l - 100, 198 = h*d + l + 43. Suppose -3*k = 2*k - 75. Calculate the highest common factor of k and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - 18\/14. Which is bigger: -6\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**5 - 4*q**4 + 28*q**3 + 52*q**2 + 24*q = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 13 = -14*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -889 - -682. Let c(q) = 445*q - 1. Let r be c(1). Let v = z + r. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.878.\nAnswer: -0.0878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -19.2. Let n = g + 2.2. Which is the second biggest value? (a) -3 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440954?\nAnswer: 2, 47, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*q - 72*q**2 + 62\/3*q**3 - 2\/3*q**4.\nAnswer: -2*q**2*(q - 27)*(q - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 = 10*z - 8*z. Let q be z*(-2)\/(-12)*3. Let c = q + -3104\/11. Are -1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 1.94. Let v = -220563 - -220564. Sort v, 0.4, -1\/5, z in ascending order.\nAnswer: -1\/5, 0.4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -8 + 1575999\/1. Suppose i = 2*z + x, -4*z + 2*z + 4*x + 1576012 = 0. What is z rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294421403 to the power of 1\/2, to the nearest integer?\nAnswer: 17159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448645 less than -39?\nAnswer: 1448606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313865704 a multiple of 1768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2196.6.\nAnswer: 10983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -5 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y - 8 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) - 102\/(-210)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 + 4484*g**4 + 101276*g**3 + 284668*g**2 - 891120*g + 500688 = 0.\nAnswer: -1098, -19, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 11 + -19 + 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -5, 6\/5, -3, 27, 4.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - -2*(-2 + 76) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*b**2 - 78*b**2 + 924533*b**3 - 924507*b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 33. Let n(k) = k - 7. Let g be -2*((-4 - -2) + 0). Let q be n(g). Put q, 2, x in decreasing order.\nAnswer: 2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28.5. What is the second biggest value in 7, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1847*s**6 - 5*s**2 + 89*s wrt s?\nAnswer: 221640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 11. Suppose -21 = -2*l - 5. Let c = 11 - l. What is the lowest common multiple of c and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 4*x - x = 102. Let m = 56 - x. What is the highest common factor of c and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 133\/6*s**6 + 0*s**5 + 0*s - 73 + 0*s**4 - 5\/2*s**2 - 5\/3*s**3. Find the third derivative of b(t) wrt t.\nAnswer: 7980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59760 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(9\/5)*z)\/(z\/(z**(-1\/6)*z)))**(21\/4)*((z**(2\/33)*z)\/z**(2\/5))**5 assuming z is positive.\nAnswer: z**(22609\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/5 - 154*n**4\/5 - 1056*n**3 - 35336*n**2\/5 + 40768*n\/5 = 0.\nAnswer: -14, 0, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 + -3 - -4)\/((-1)\/(-43))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 293 and 82770658350?\nAnswer: 82770658057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*s**6 - 2*d**2*s - 2*d + 764162*s**6 + 695*s**2 - 40*s wrt s.\nAnswer: 120*d**2*s**3 + 91699440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u + 157*u**4 - 21*u - u)*(-5 + 2 + 1)*(-5*u + 3*u + 3*u).\nAnswer: -314*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 3*q**2 - 3*q - 3. Let b be a(-3). Let l = -410 - -473. Let f = l + b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 4, -3 in descending order.\nAnswer: 79, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -1145. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 25894?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - (sqrt(144)*-2 + sqrt(144) - sqrt(144) - sqrt(144))\/sqrt(9))*3)\/(4*(sqrt(8) + sqrt(512))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -602026\/3003 - 164\/429. Let z = 15641\/77 + j. Calculate the common denominator of 12\/7 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 218 + 708 = 0. Solve s = -5*a + 12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**8\/5040 + c**5\/30 + c**2. Let y(s) be the third derivative of p(s). Let z(q) = 4*q**2. Give y(z(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (19 + 97 + -117).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 25, -5, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:45 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*m**3*x + 941*m**3 - 4*m**2 + 1108*m*x + 1824*m + 41*x**2 wrt x.\nAnswer: -17*m**3 + 1108*m + 82*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 49*g - 298. Let c be t(6). Sort 0.4, 0.2, c, 0.7, 5\/3 in decreasing order.\nAnswer: 5\/3, 0.7, 0.4, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (12 + -6 + 5 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5896.977um to kilometers.\nAnswer: 0.000005896977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991702376.\nAnswer: 2, 7, 61, 67, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(6\/11)*b))\/((b**0\/b)\/b)*b**(1\/7)\/b**(-1\/13))**26)**(-1\/44) assuming b is positive.\nAnswer: b**(-675\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(sqrt(363) + -2)*-1 + 0)**2 + 5)*-5.\nAnswer: -33055 + 3960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/5, -348, -2, 1\/3, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.0823?\nAnswer: -0.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 1039, 3467, 8197, 15997, 27635?\nAnswer: 43879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111976478 is divided by 157.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*m + 7 = 0, -4 = -2*v - 3*m - 19. Is (-16 - -8) + 6 - 23*v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60333 is divided by 1139.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5257317875 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose -w + 7 - 3 = g. Let j(l) = 3*l + l - 3 - 1 + l**3 - w*l**2. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22263.3189 to the nearest 100.\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-3*l + l + 0*l) + l - 4*l + l + 2*l - 3*l + 2*l - 2 + l + 2 + 2 - 16*l - 16*l + 25*l - 33*l to the form b + s*l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*o**4 + 1923*g**3 - 21*g*o**4 + 3*g*o**2 + 5*o**4 wrt o?\nAnswer: -48*g**3*o - 504*g*o + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3406046, 1, -4 in decreasing order.\nAnswer: 3406046, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 6. Let d be m*(0 - -2) + 10. Suppose -2*o = -4*o + d. What is the remainder when 6 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 71. Let w = f + 99. List the prime factors of ((-1)\/2)\/(w\/(-552)) - 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 1\/21*q**7 + 0*q**6 + 0*q**3 + 3*q**2 + 12*q + 0 + 1\/6*q**4 + 1\/20*q**5. Find the third derivative of n(l) wrt l.\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47129 is divided by 22993?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 218648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20664105 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 2\/5 - 266\/(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**2 + 369*g - 3437. Give b(50).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 2. Let v = 9 + h. Suppose -v - 21 = -2*o. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 + 143?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 = -14. Let r be (-61 - -1)*10\/f. Let x be r\/30*(3 - 0). Solve 0*q = -2*q - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14756\/13175)\/((-10)\/(-500))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 414 - 383 + i**4 - 409 + i**3 - 382 + 1449 to w*i + t + y*i**4 + a*i**3 + l*i**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*(sqrt(95) + (sqrt(95) - -1*1*sqrt(95) - sqrt(95)) + sqrt(95) - sqrt(95)))\/((2*sqrt(140))\/sqrt(7)) + -2)**2.\nAnswer: -9*sqrt(19) + 207\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Is 3 a factor of ((-14)\/u - -1)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 20 = -4*v, -2 = -v - k - 0*k. Let p(y) = v - 5*y - 4 - 2 + 2*y**2 + 0*y. Calculate the remainder when 17 is divided by p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.071 and 1.92.\nAnswer: 1.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -24. Suppose -5*d = -0*l + l, -j*d = -4*l + 25. Let f(i) = -i + 7. Give f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19320?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Let x = -41 + 46. Let y = x - o. Which is the closest to 2\/5? (a) 0.5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8251116836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -665867 * 1.9\nAnswer: -1265147.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 = 2*k + 920. Let w = -990 - k. Let m = 522 + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 422604*r + 1267776 = 0.\nAnswer: -105648, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*u + 11, 5*z = 10*z - 3*u + 147. Let i be (-1)\/(-3) - 45\/z. Solve 0 = 5*p - i*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1080.506119981 - -8303.731780429. Let k = 9385.0279 - d. Let w = k + -0.79. What is w rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 9) to base 10.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(1539)*2*-3 - ((sqrt(1539) + -1 - sqrt(1539))*-5 + sqrt(1539) - (sqrt(1539) - (-2 + 1*sqrt(1539))))**2)*2.\nAnswer: -18576 - 1944*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-95)\/130))\/(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*y = 166*y + 4*s - 3*s - 22, 2*s = -4*y - 66 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*q - 315 = 309*q + 105 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 9. Let a = 7\/9 + -4\/9. What is the closest to 1 in k, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 40 + 3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 52*f**2 + 5*f - 15. What is the hundreds digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-45))\/(-20)*-2*(-7)\/4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 115*v = 75*v - 4500 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t + 2*u - 8, -3*t - u + 2 = 0. Suppose -t*m + 3*m = 265. Suppose n = -4*n + m. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.25, 0.4, 4\/5, -4, -74, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16952343 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 1. Let m be u(2). Let x = 112 - 110. Let k(j) = -x*j + 16*j**2 - j + 3 - j**3 - 21*j**2. Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -2, -62, 4, -5, -301 in increasing order.\nAnswer: -301, -62, -5, -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h + 2*s, -2*h + 4*s = 14 - 0. Suppose 3*p = m - 4 + 8, -6 = -h*m. Suppose 0 = p*j + c - 3*c - 224, -4*c = 2*j - 230. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(275)*-2 - sqrt(275))**2 + -3 + -1) + -4.\nAnswer: -14830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380403?\nAnswer: 3, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154605\/28 - -22083\/4. Sort -0.2, i, -18, -11 in increasing order.\nAnswer: -18, -11, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41663464 - 411?\nAnswer: 41663053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6570)\/(-4))\/(32 + (-40444)\/1264). Round j to the nearest 1000.\nAnswer: 519000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uautatuauaaauau. Give prob of picking 4 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 185.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*62.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/g)\/g**2*(g\/((g*g\/g**5)\/g)*g*g)\/(g\/g**(2\/9)) assuming g is positive.\nAnswer: g**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -117*m + 4. Let o(g) = -g + 1. Determine 3*o(r) - q(r).\nAnswer: 114*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31171587?\nAnswer: 3, 10390529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74717631 divided by 2.\nAnswer: -74717631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1835*u**2 + 16*u**4 + 675*u**2 + 209*u**2 + (-2*u**4 + u**2 - u**2)*(-1 + 3 + 1) as s*u + t*u**4 + n + v*u**2 + g*u**3 and give v.\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 48, 76, 102, 126, 148, 168?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 4 + 1)*(1 - 2 - 1) + 1 - 4 - 3)*(-3*j**3 - 1 + 0*j**3 + 16*j**3) in the form u*j**3 + x + b*j**2 + m*j and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26793, 53579, 80365, 107151, 133937, 160723?\n\"Answer: 26786*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 782 - 792 = 2*d - 2*r, 3*d - d - 3*r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + 42*d**2 + 2*d + 26. Let g be f(14). Solve -13*n = -40*n - g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 34 + 34)*(68 - 56 - 47).\nAnswer: -175*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 780975608, 780975610, 780975612?\n\"Answer: 2*k + 780975606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 - 2*u - 9. Let b be r(-5). Let m = 116 - b. Let j = 138 - m. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143.596 + -1.404. Let q = -943.7588 - -798.758088. Let h = q - l. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15438 divided by -31.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o**5 + 35*o**4 + 290*o**3 + 200*o**2 = 0. What is o?\nAnswer: -2, -5\/6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 932340.2 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c*c)\/c**10*(c\/(c\/c**12))\/(c*(c**(-1\/6)\/c)\/c*c) assuming c is positive.\nAnswer: c**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 90.7449\nAnswer: -36.29796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11667, 46398, 104191, 185046, 288963?\n\"Answer: 11531*p**2 + 138*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 9*c**2 + c + 15. Let y be o(-10). Let r be 3 - (-1)\/(35\/y). What is the closest to r in 0, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (3 - (6 + -16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 6*o**3\/11 + 50778*o**2\/11 + 203040*o\/11 + 18456 = 0?\nAnswer: -8459, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d**2 + 48*d**2 + 52*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32 (b) 2\/9 (c) -5 (d) -0.3 (e) 0.05 (f) -6 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 + 2*d - 1. Let m be v(1). Suppose -20 = -5*i, 6 = 2*p - 5*i + 18. Calculate the highest common divisor of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45728446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 1647*p - 1645*p + 48, -17*i = -4*p + 229 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-489)\/(-30) + 32\/(1920\/(-1020))\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17040\/9585*5\/(10\/(-3))*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/14 + (-96)\/(-42) + 83159\/(-21245)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/1 + 124\/(734080\/(-6956))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21307 divided by 1937?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*i - 20 = 0, -3*r - 5*i - 16 = 4. Suppose 2*p + 4*p - 6 = r. What is the tens digit of (-2 + p)*-27 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/3)*((k\/k**(13\/7))\/k)\/k*k**(2\/91)\/k*k**28)**34 assuming k is positive.\nAnswer: k**(239768\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 12795303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18402449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/4 + 1291709*y**2\/4 + 417127389315*y\/4 - 417128681025\/4 = 0. What is y?\nAnswer: -645855, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8895*w - 108204. Determine z(-12).\nAnswer: -1464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.949 to zero decimal places.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/33, 2\/11, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9434084 + 1.9494. Let s = 4 + -4.006. Let n = s + j. What is n rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086987009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -1\/4 (b) -4.952 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - r. Let y be (-20)\/(-12) - (-4)\/(-6). Let s be c(y). Let t be -3 - (3\/s + -9). Solve 0 = t*l - l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*d - 2241, 4*g - 4*d - 242 = 2006. Let c = g + -492. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlllllfxlxllllllf. Give prob of picking 4 l.\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1384 greater than 406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 20. Calculate the remainder when 22 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - 0.4.\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3634*c - 2778*c + 220619 + 422221 = -4501*c for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71057 divided by 60?\nAnswer: 71057\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11251293689 from -585.8.\nAnswer: 11251293103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21762)\/14911*(-407)\/(-22).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from dddddddgg?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -398a + -3?\nAnswer: -3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 11*y + 0*y**2 + 0 + 1\/4*y**4 + 0*y**3. Let n(g) = -g. Give p(n(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (2 - (11 - 8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 + 9\/(-3). Let l be (-2)\/k + (-3)\/20. Let q = 8.4 + -8.4. Which is the nearest to l? (a) q (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -t + 3*t - 24, 5*t = -2*g. Suppose -4*p - t*r + 10 + 14 = 0, -2*r = 4. Let a = p + 12. What is the remainder when 37 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38005 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, 6, 62, 160, 312?\n\"Answer: 2*c**3 + 3*c**2 + 3*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - -0.05. Suppose 0 = g - 4*g + 3. Put q, 0.4, g in decreasing order.\nAnswer: g, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -116, -250, -436, -674, -964?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*8*-1. Let z be (-882)\/10*(4 - (t + 13)). Calculate the highest common divisor of 126 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = 34*z - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9600 is divided by 253?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5642952 and 3627612?\nAnswer: 50786568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -6*p - 271. Suppose 0 = -5*i - k + 1880, -i + 5*k + 673 = p. Suppose 0*x + 4*x + i = w, -2*w - x + 790 = 0. Round w to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 109*n**2 - 215*n - 107. Let f(t) = 8*t**3 + 980*t**2 + 1936*t + 964. Let q(b) = 3*f(b) + 28*y(b). Suppose q(m) = 0. What is m?\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Suppose 2*v = 10 - p. Suppose -v*w + 5 = -0*w. Solve 2*g = -3*a - 14 + w, 0 = -g + 3*a + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/83, -5\/17, -7?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*y + 56. Which is the nearest to 0.3? (a) -3 (b) y (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvrvvvvllvvrv. What is prob of sequence llrr?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 1. Let j(x) = x. Suppose 9*f - 8*f = -3. What is f*j(w) - c(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(2 + -1)\/(9 - 8). Suppose -f*p + 12 = -6*p. What are the prime factors of p - (-15)\/2*90\/9?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let l(w) = 5895887*w**2. Give c(l(i)).\nAnswer: 17687661*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-231 + 385 + 304)*(0*y + 0*y + 2*y) in the form p + v*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1771 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 29911*p**3 + 179490*p**2 + 358996*p + 239336.\nAnswer: -(p - 29917)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 215*l - 1501. Let h be x(7). Solve -5*v + 16 - 24 = h*c, -c = -3*v + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:35 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 5. Determine s(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 10, 843, -1 in ascending order.\nAnswer: -130, -1, 10, 843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**2*u*w**2 - 4548*d**2*w**2 - 11*d**2*w - 141*u*w**2 - 182*u with respect to u.\nAnswer: -8*d**2*w**2 - 141*w**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74798666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.6, -3, 180?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(0 - 3\/(-711)). Let q = -73 + a. Suppose 3*o + o = q. Solve 5*h + 5*s = 45, -h + o = 4*h + 4*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -10, 69, 168, 281, 402, 525, 644?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-104)\/18 + (-18)\/81. Let l be (4 + 17\/(-2))\/x. Let i = -11.5 - -11. What is the third smallest value in -0.1, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 8*b**2 - 2*b - 6. Let o(j) = -j**3 - j**2 - j - 1. Let c(s) = -5*o(s) + p(s). Let t be 14\/4*12\/21. Suppose 0*d + 6 = -t*d. Calculate c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2. Let f(w) = w**3 + 5. Let u(g) = 4*f(g) + 9*m(g). What is the first derivative of u(l) wrt l?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:19 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 2577*s - 123328.\nAnswer: (s - 47)*(s + 2624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggsggbggbbksbggbgbk. Give prob of picking 1 k and 2 s.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 851 - 853. Let o = 20 - 33. Which is the closest to -0.1? (a) z (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392376742 to the nearest integer?\nAnswer: 19809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760411.\nAnswer: 3, 920137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000482 rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.29, -37, 0.2 in decreasing order.\nAnswer: 0.2, -1.29, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azabzfbabafb. What is prob of sequence fzaf?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 21*l + 36. Let m be p(-18). List the prime factors of ((-9)\/3)\/(m\/24) - -84.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6298075\/114 - 55247. Calculate the common denominator of 1\/(-5) - (-2739)\/(-330) and i.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 13*t + 415742 - 415742.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14174183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -3 - (1 + 3). Let b = r - -9. Let d(k) = k**2 - 9*k + 11. Let c be d(8). Solve -b*v = z - 14, z + 6 = c*v - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1098640279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w\/w**(-11\/4)))\/((w\/(w\/((w**(-1\/3)*w)\/w)))\/w))\/((w*w*w\/(w*(((w**(-3\/4)\/w)\/w)\/w*w)\/w))\/w*w*w**(-3\/7)\/w*w))**(-19) assuming w is positive.\nAnswer: w**(6973\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 30 - 30)*(2*u + 0*u + 3*u).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, 12980 in descending order.\nAnswer: 12980, 28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + (-264)\/136 + 0.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmm when three letters picked without replacement from mmwmmmwwmmmmmw.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:13 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*t**5 - 4351*t**3*y - 60*t*y - 6*t + 59*y - 1 wrt t.\nAnswer: 2880*t**3 - 26106*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00446 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51178 - -177761. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) - -1*sqrt(48))*4.\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -867 divided by 166530\nAnswer: -289\/55510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*l - 116, 0 = 3*v + 2*v - 2*l + 168. Let d = v - -37. Suppose d*a = -15, 0 = q + 3*q - a - 67. What is the greatest common divisor of 48 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*f**5 + 0*f - 2\/3*f**2 - 2*f**4 + 2*f**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/16 and -93\/92588.\nAnswer: 370352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 22054.9\nAnswer: 15438.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrr when three letters picked without replacement from {u: 7, p: 1, e: 3, m: 2, r: 2, y: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -23*q**5\/60 - 34*q**2 + 46. Let u(x) be the second derivative of p(x). Let a(o) = 3*o**2. Give u(a(d)).\nAnswer: -207*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27034.95nm?\nAnswer: 27.03495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*b**5 - 172*b**5 + 109*b**5)*(3 - 2 + 2 + (-3 + 3 - 2)*(4 - 1 - 5)).\nAnswer: 420*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 2*j - 5. Let u be y(4). Suppose -3*b = u + 67. Which is bigger: b or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268 + 2405\/9. Let d = 12 - 0. Let r = d + -8. What is the common denominator of j and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 2\/5 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k + 9*k + 5*k)*(12*k**2 + 6*k**2 - 3*k**2).\nAnswer: 255*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/3, 403, -0.4 in increasing order.\nAnswer: -0.4, 56\/3, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 - 10*f. Suppose -18*r + 17*r - 9 = 0. Determine k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 684\/266)*2\/3. Sort -4\/35, t, 0.5, -3, 0 in decreasing order.\nAnswer: 0.5, 0, -4\/35, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/sqrt(2).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*p - 9, -17 = -2*f - 2*f - p. Suppose 4*t = -f*y + 62, -t - 4*t = 10. What is the greatest common divisor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158288298590 - 158288296432.00000897. Let f = 2158 - l. What is f rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5410 - 5407. Let y(c) = -9*c**2 + 25*c + 1. Calculate y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/105 - r**4\/28 + 2*r**3\/21 + r**2 + 2*r. Let o(g) be the first derivative of c(g). Factor o(t).\nAnswer: -2*(t + 2)*(2*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/24*(-19364)\/(-515)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 6*h + 6. Let u be -5*2\/15 + 202\/(-3). Let y = -53 - u. Let r = 21 - y. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 6.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-9 - (2 + 21) - -25)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (585\/45*2\/78*-402)\/(-1)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-24)*-2*(5 + 3). Suppose -2*w + 2 = 0, -q*w - 21 = t - 0*w. Let v = t - -31. Which is smaller: v or 33\/5?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 1. Calculate v(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15337.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69684810?\nAnswer: 2, 3, 5, 13, 197, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**3 + 20*u + 0*u**2 - 6 - 13\/4*u**4. Let g(k) = k**2. Give y(g(q)).\nAnswer: -39*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/384)\/(2 - 3*672\/1026)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/336)\/(5\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.798 * -3.\nAnswer: 2.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 - 7*n + 5. Suppose 3*b = -4*s + 16, -2*b + 12*s = 8*s - 4. What is v(b)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*c + 8, -3*c = -13*v + 12*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94.74 and 290837.\nAnswer: 290931.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 549*s + 90574. Give o(-165).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -29*q**5\/20 - 13*q**3\/3 + q. Find the second derivative of g(p) wrt p.\nAnswer: -174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1389, 5238, 11659, 20658, 32241, 46414, 63183, 82554?\nAnswer: 104533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 - 37. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 2487150*r**3 - 1546478780625*r**2.\nAnswer: -r**2*(r + 1243575)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1992 and 182566.\nAnswer: 181835736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in 5, -1.9, 4, 0, -2\/7, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 17 = -4*b. Let h = b + -5. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 greater than 4974\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*o**2 + 96*g*o - 41*o**2 wrt g.\nAnswer: -3*g**2*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512139.\nAnswer: 3, 53, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/8)\/(8*(-45)\/(-576)). Let n = -8 - -13. Suppose -n*a + 24 = -3*a. Solve -2*j + 4*c + a = 2, -m*j = 3*c + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194 less than -6.835195311?\nAnswer: -6.854595311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -286, -305, -342, -403, -494, -621?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2181 + 1.8559. Round a to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 402777161905056 and 0.\nAnswer: 402777161905056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -224616779?\nAnswer: 224616784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1003\/2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 483346, -4.\nAnswer: -4, 3, 483346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2\/15 (b) -52 (c) 2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 5164 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 67.1.\nAnswer: -33.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 - (-6 + -3 - (120 - 127))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 276830 and -1?\nAnswer: -276830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 72. Let w be s(-26). Let g be 8\/2 - 160\/w. Suppose 18 = n - 3*d, -44 + g = -5*n + 4*d. Solve -5*z - n*u - 26 = 0, -z - 3*u - 10 = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 5, -4, -3 in decreasing order.\nAnswer: 41, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (442\/17 - 7) + 5*1. What is the greatest common factor of l and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*q**2 + 15*q + 27*q - 42*q.\nAnswer: -53*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 + (-9)\/(-4). Suppose -w*b - 460000 = -b. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 30*j**2 - 346*j - 82. Calculate i(-15).\nAnswer: 1733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2266 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeekekeeeeekeeekee. What is prob of sequence keee?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/5 (c) -4\/5 (d) -1\/2 (e) 16 (f) 1074 (g) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.8 - 11998853.\nAnswer: -11998842.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166564\/75 or -2221?\nAnswer: -2221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358707.\nAnswer: 3, 119569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 114.33\nAnswer: 125.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944930 divided by -35.\nAnswer: -26998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5802 - 87566075.\nAnswer: -87571877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*h - 2 - 98*h - 19 - 55 wrt h?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 763475137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 9, -2, -1\/5, -4, -59?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323047 - 323047 + 2927*n to the form k + z*n and give z.\nAnswer: 2927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -2\/307, 4\/9 in decreasing order.\nAnswer: 3, 4\/9, -2\/307, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -71*d**3 + 9*d**2 - 63*d + 23. Let n(z) = 35*z**3 - 4*z**2 + 31*z - 10. Determine -7*n(b) - 3*r(b).\nAnswer: -32*b**3 + b**2 - 28*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**19\/((w\/(w**(-1\/7)\/w))\/w**(-2\/19)) assuming w is positive.\nAnswer: w**(-299\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7018456.\nAnswer: 2, 37, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000086086 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -218325?\nAnswer: -218325.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 + 7*p**4 + (2*p**3 + p**3 - p**3)*(5*p - 3*p - p).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -540 - -542. Factor 1\/2*z**4 + 0*z + 1\/2 - z**i + 0*z**3.\nAnswer: (z - 1)**2*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fxifpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.464 + 0.536. Suppose 26*x = 34*x + 112. What is the closest to 0.1 in x, q, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44625 and 54525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0545 + 0.05103. Round i to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 times -12\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-1)\/(-2) - 0). Let h(o) = o + 7. Let m be h(w). Solve i = 5*i - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0 - 5*i**3 + 5\/4*i**5 - 5*i**2 + 5\/4*i**4 + 0*i = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -378*l - 111. What is the remainder when d(-17) is divided by 243?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + j - j + 3*j**2 + 3*j**2 - 5*j**2 + (3*j**2 + 4*j**2 - 6*j**2)*(3 - 1 - 4) - 13*j**2 - 36 + 36 + (5*j - 4*j + 2*j)*(-2*j + 0 + 0).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000506836 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = 7. Let a = 9 - p. Let z(w) = -2*w + 7. Let y be z(-6). Solve -4*m = -4*f + 28, -2*f + a*m + y = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/5 in -1\/2, 5\/3, -2\/7, -76?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {s: 1, f: 1, d: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 46 = -5*c + 4*t, -3*c = t - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-64))\/(5\/(10\/8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*n + 54*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-50 + 23 + 11)*(3*m + 3*m - 4*m)*(3*m - 2*m + 0*m)*(5 - 4 - 5).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 + 7*x + 5. Let u be p(-4). What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-203)\/(-63) - (6\/27 + 0). Suppose -5*s + 9 = -d, d + v = 3*s + 2. Let z = -11 + d. Solve 2*c + 12 = -4*a, -a + z*c + 3*c = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 - 129. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2)\/(-1 + -1). Suppose -2*t - 3*t = q. Which is the third biggest value? (a) -0.1 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 9 = o + 3*g, 4*g = 2*o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12233132121 (base 4) to base 11\nAnswer: aa78a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.6 - -5.6. Let t = y + -20. Which is the closest to -2\/7? (a) 0.5 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - (2 - 7)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/145)\/((-4)\/(-50)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 - 5 = -3*o, 2*o = -p + 3. Suppose 11 = -3*v + 5*i, -v + o*v = i + 1. Which is the third biggest value? (a) -3\/2 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:29 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69075395 to the power of 1\/2, to the nearest integer?\nAnswer: 8311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*f = -0*o + 20, -4 = -5*o + f. Suppose -3*i + o = -12. Let q(t) = t**3 + 7*t**2 + 4*t - 1. Calculate the lowest common multiple of i and q(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718 is divided by 115.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5+1437.118194\nAnswer: 1432.118194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/855 + (-2)\/(-9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 36, 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3976.1 and 5.\nAnswer: -19880.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3851 - 3847. Solve o*a = 16, 32 = 77*s - 73*s + 3*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.84133 months to years.\nAnswer: 24.9867775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -17125 (b) -1 (c) 38 (d) 1 (e) -5 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from lihhihlddelehl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 391865547 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1796, -2135, -3052, -4835, -7772?\n\"Answer: -48*p**3 - p**2 - 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7111 or -6751?\nAnswer: -6751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, 1 v, and 1 a when four letters picked without replacement from viadt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 a factor of 767679151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 0 + 1 + 3*i - 3*i. Let o(c) = -2*c. Let z(b) = -5*m(b) + o(b). Let s(r) = 15*r + 11. What is -6*s(v) - 13*z(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*x - 44, -8*q + 2*x = -7*q - 6. Let d = -26 - -105. Calculate the remainder when d is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 513, 1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.4, -1\/40, -5, -1\/5 in ascending order.\nAnswer: -5, -1\/4, -1\/5, -1\/40, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 28318.\nAnswer: 28318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (24 + (-2 - (-5 + 3 + 4))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 + -181 + 2 + -114.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237835 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -24. Let u = 94 + -61. What is the remainder when u is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 145 = -5*p, 5*p - 55 = 3*p - v. Suppose 2*b - p = -z + 7, -7 = -b + 4*z. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 divided by -73?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433711.\nAnswer: 23, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775 and 9455?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-236)\/28 + 0 - 21\/(-49)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(sqrt(833)*2*-3 + sqrt(833))*-5*1.\nAnswer: -875*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 15, -3*z + 24 = 2*u + 5. Suppose -3*q + h = -0*q - 554, u*q = h + 371. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 170847366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (sqrt(153) - (2 + -1 + sqrt(153))))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76389, 4, -4, 3 in descending order.\nAnswer: 4, 3, -4, -76389","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.022.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069908 to 7 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -3, -7, 4, -1 in decreasing order.\nAnswer: 20, 4, 3, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/50)\/((-12)\/5 - -2). Is 13 a factor of 40 + (1\/(-2))\/(y\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1233 - 1234. Suppose -40 - 2 = -2*u. Suppose -1 = -4*g - u. What is the nearest to w in g, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Let f = -0.01 - 0.02. Let p = 0.13 + f. Which is the closest to p? (a) 0.2 (b) 2\/15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 3071.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27872 and 221728.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16521, -16700, -16879?\nAnswer: -17058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*y + 2*y + 6 = 0, 0 = -5*y. Suppose -3*z + 29 = -2*f + 7, z = 5*f + 16. What is the second derivative of z - x - 2*x**g - 6 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 1037*l**7\/105 + 320*l**3 - 244*l**2. Find the first derivative of i(n) wrt n.\nAnswer: 8296*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.1\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6867*h**2*q - 5268*h**2 wrt q.\nAnswer: 6867*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 + -1)) + (5 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*h + 75, -2*f = -5*h - 44 + 94. Let i be (f\/(-15))\/((-30)\/(-24)). Let i*r + 0 - 3*r**2 = 0. Calculate r.\nAnswer: 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 313978885 from -0.152.\nAnswer: -313978885.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + -2. Let l = -66397 - -66396.7. Let x = -0.08 - -8.08. Which is the nearest to x? (a) w (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let f(m) = 20*m - 10. Suppose 0 = 29*i + 218 - 44. Let z(t) = 2*t + 2. Let g(o) = i*f(o) - 30*z(o). Determine g(u(l)).\nAnswer: -360*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -239 divided by 2543\nAnswer: -239\/2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**3 + a**2 - 2*a + 4. Let l be y(2). Let s be l\/18*(158\/(-10) + -1). Let n = s - 111\/2. What is the closest to -0.1 in n, 0.4, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7194)\/(-30) - (-36)\/(-20). Calculate the greatest common divisor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/60*(-300)\/(-350).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - n + 2 - 3*n)*(-n - 7*n + 21*n).\nAnswer: 26*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyjffyffy. What is prob of sequence jyff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryv when three letters picked without replacement from {u: 1, r: 3, f: 4, v: 1, y: 5, p: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1360 + 1098 - 1766 - 6597)*(3*p**3 + 0*p**3 - p**3).\nAnswer: -17250*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -3)\/(-1 - 0). Suppose 0 = 4*o + o - 3*d + 1, h = 2*o - 3*d. What is the common denominator of -95\/2 and o + 0 - 35\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/39299 + -157182\/275093. Let r = -6 + 5.7. Which is the third biggest value? (a) z (b) r (c) -1\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49981 or -49968?\nAnswer: -49968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 340 = 9*s + 80. Let g(c) = -9*c. Let h(l) = 91*l. Determine s*g(n) + 2*h(n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*o + 19. Let k = -9 - o. Calculate the remainder when 21 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.89 + -22.89. Sort h, 3\/43, 2 in ascending order.\nAnswer: 3\/43, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 390501?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, i: 1, r: 1, e: 2, u: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 443153.2 to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132181 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4400\/25840 - (-2)\/(-38). What is the nearest to -2\/3 in -2, c, -8, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -6, -5*s + 4*b + 35 = 8*b + 2 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/25? (a) 0.060827 (b) -2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - i, -2*g = -7*g - 3*i + 1. Let y be (-1)\/g + 108\/(-8). Let m be (-46)\/28 + (-21)\/y. Is 1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 2495805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52*95989\nAnswer: -4991428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12747268, 25494532, 38241796, 50989060?\nAnswer: 63736324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from yyiiizipyyapiihy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - 8*g. Let z be x(-4). What is the biggest value in -0.06, 1\/7, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 0*d**2 - 2*d**3 - 2*d**3 - d**2.\nAnswer: -13*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**4 + 54512*w**2 + 4*w - 2515992 wrt w?\nAnswer: -96*w**2 + 109024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*k + 312 = 150*k - 538 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -589771?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 2.01. Let l = s - 2.2. Put 3, l, 0.4 in descending order.\nAnswer: 3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1123*y**3*z - 241255511*y**3 - 62679*y*z + z wrt z?\nAnswer: 1123*y**3 - 62679*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -394*849\/(-924) - 2. Let n = 2502\/7 - u. Find the common denominator of -87\/2 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 50*s + 7. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 24 = 0. Let t = 14 - c. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/k)**(-11)\/(k**(-1))**1 assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkugujbukkkukkjjkkkj. Give prob of sequence bjj.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = -3*l. Let q = 11 + l. Let m(y) = -8*y**2 + y + y**3 - 1 + q + 4*y**2. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2512*w**3 + 3349*w**2?\nAnswer: 15072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*j + 6 + 62 = 0, 2*j = -2*a + 130. Let o = -31 - -27. Let f be (0 - (-2)\/o)*2 + 9. Calculate the greatest common factor of f and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -191.\nAnswer: 113\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(385) - sqrt(385))\/sqrt(11))\/((sqrt(60)\/sqrt(2))\/sqrt(6)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - s + 9*s - 43*s**3 - 81.\nAnswer: -43*s**3 + 3*s - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x**3 + 2*x**3 + 7*x**3)*(-16*x + 80*x + 40*x).\nAnswer: 3120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*c - 4, -7 + 1 = -i - 3*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:01 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31846, 63694, 95546, 127402, 159262?\n\"Answer: 2*i**2 + 31842*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -26\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700 times 4?\nAnswer: 42800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 5821*u**4\/4 + 2*u**3\/3 - 1000*u**2 + 14819. What is the third derivative of a(y) wrt y?\nAnswer: 34926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96d (base 15) to base 3\nAnswer: 2220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1741 - 41675*w + 2*w**2 + 41675*w in the form f*w**2 + c + r*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2525*l. Let s(m) = -3*m. Calculate r(s(n)).\nAnswer: -7575*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 4*h + 5*h - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12984501 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 88*z - 415. Let b be h(-83). Which is smaller: b or 869?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -122\/3. Which is the smallest value? (a) 0.4 (b) x (c) -0.2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 1. Let q be h(-1). Suppose q*m + 15 = 0, 4*x = -3*m - 1 - 0. Differentiate 3 + 3*y**4 + y**x - y**2 + 0 with respect to y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 53*c**3 - 5*c**2 + 5. Let d(q) = -27*q**3 + 3*q**2 - 3. What is 5*d(o) + 3*y(o)?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 2, x: 3}. Give prob of sequence aaxx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 18*v - 2*v**2 - 18*v. Let m(y) = -24*y. What is w(m(n))?\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -452251 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 2*h**7\/315 - h**6\/90 - 7*h**5\/15 + 5*h**4\/2 + 243*h**2 + 3. Determine y so that r(y) = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/12 - (-11 - 0). Let i(t) = 17*t + 4. Let a be i(3). What is the highest common factor of x and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 3, n: 3, w: 5, x: 1, j: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*d - 5 + 1, -d - 1 = 0. Let q(y) = -y + 0*y + k*y + 12 - 24. Let r be q(-9). Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0 + 2*t - 2*t**2 - 1\/3*t**3. Find the first derivative of z(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22253 is divided by 277?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429802 + 1429778 - 145*u - 2859576.\nAnswer: -145*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:04 PM?\nAnswer: 656","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*w = -6*v - 10, 0 = 5*w - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12125405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 43 = -p - 3*h, -4*p - 5*h = -64. Which is bigger: 244 or p?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:31 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + l - 1484 = 4*r - 1450, -r = -3*l + 46 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(7 - 7). Let m = 6 + o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + -30 + 46 + 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*l = 3*l - 20, -4*i = l - 36. Let r(n) = 16*n + 1. What is the units digit of r(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {u: 6, a: 1, i: 4, w: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -68087\nAnswer: 4\/68087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4956)\/70210)\/((-2)\/(-10)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232000 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 441 from -0.258963551.\nAnswer: -441.258963551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h + h**3)*(-h + 5*h - 3*h + (245200 + 386*h - 245200)*(-2 + 3 - 2)).\nAnswer: -385*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0 + 4*r - 8*r + 2. Suppose 7*k - 4*k = 6. Determine v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702 divided by -137027?\nAnswer: -2702\/137027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -103. Suppose -3 = 5*w + 3*g - 28, p*w - 5*g = -19. Find i, given that -12\/7*i + 2\/7*i**w + 18\/7 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i + 560. Let l = -77 - i. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527*b + 252 = 2491*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:36 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54053 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 + p + 1. Suppose 3*y - 14 = -0*y + 2*b, -b = -4*y + 17. Calculate the lowest common multiple of l(y) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -237b822 - -8?\nAnswer: -237b819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8658\/14351 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * -162.\nAnswer: -12474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 317 = 2*x + 9, 5*a = 3*x - 486. Suppose -350 - x = -13*j. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 14*x**2 - 14*x - 6. Let b be h(-15). Let m = b + 25. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 2, w: 5, i: 1, t: 1, v: 2}. Give prob of picking 1 v and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-20)\/(-20). Let g(h) = -h + 4. Let t be g(2). Suppose 24 = -0*x - 4*x - 5*v, t*x - 5*v = 18. What is the closest to o in 3, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 30 = 3*w - 184, -5*t = w + 162. Suppose 0 = c - 15 + 11. Is c\/t*-4*3622 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3750 divided by 75\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 14*p + 4. Let z be x(7). Suppose z*k + 0*k = 12. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 295180\/1961?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7299999*y**3 - 2*y**2 + 2*y - 1. Let k = 10 - 9. Let f be t(k). Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3512.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 12342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.142319 - 0.14649. Round m to 4 dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409101, -818151, -1227153, -1636107, -2045013?\nAnswer: -2453871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 90 = 8*g, 4*n + 5*g + 7*g + 7*g = 23*g + 36 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 27 + 7)*(0*x - 2*x + 3*x) - 5*x + 7 - 7 in the form t + y*x and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 29*x**3\/4 + 217*x**2\/4 - 351*x\/4 + 81\/2.\nAnswer: (x - 18)*(x - 9)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/23)\/(c*c\/(c**9*c*c)*c)*((c*c*c*c**(-3))\/c)**(8\/7) assuming c is positive.\nAnswer: c**(1090\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8574655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 16*u + 810 = 3*u + 330 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9965*c + 12074 wrt c?\nAnswer: 9965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190 - -1141\/6. Let j = 0.3 - 0.5. What is the second smallest value in s, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*s = 3*s - 39, t - 3*s = -9. Let q be -10*((-21)\/t + 3). What is the lowest common multiple of 9 and q*(0 + 1)*1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-222)\/(-148))\/(45\/4). Let p be (-2 + 6)*3\/12. What is the closest to p in -2, g, 5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58704 divided by 1.\nAnswer: 58704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 772209*z**3 + 1206*z - 183?\nAnswer: 4633254*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.9 + -27.1. Let s = -36 - p. Are 2\/7 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 u when four letters picked without replacement from fuflfpgulggufflf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14447 and 970.\nAnswer: 14013590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/3 (b) -5 (c) -44.9 (d) -228 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2125 + -1.213. Round g to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36252, 35509, 34760, 34005?\nAnswer: 33244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l + 0*l + l - 3*l. Let a be ((-18)\/7)\/((-1)\/42*-9). Let w be r(a). Calculate the highest common divisor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) -0.5 (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 36*m + 29. Let a be n(-17). Let l(h) = -h**2 - 2*h + 2. Give l(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190652 divided by 47663\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5. Let p be ((-8)\/16)\/(o\/(-4)). Find the common denominator of 79\/8 and ((-1)\/p)\/((-13)\/559).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (42\/10)\/((-4)\/(-20))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 - 32*s**3 - 31*s**3.\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jczczzazzzzzaj. Give prob of sequence az.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*z - 7, -5*z - 5 = d - 2. Let a be z - -3 - (-2215)\/(-25). Let o = -87 - a. What is the nearest to o in -5, -4\/3, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + 5*h + 6. Give x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3356 = 4*d, 7*y - 2517 = -3*d + 2*y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, p: 2, e: 1, z: 1, d: 7}. Give prob of picking 1 x and 1 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.9. Let f(b) = b**2 + 3 - 3*b - 2*b**2 + 1 - 3. Let i be f(-4). What is the third biggest value in t, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f + 258, t + 4*t = -2*f + 430. Let n = t + -82. Suppose -4*p + i - 17 = -n*i, -p = i - 7. Solve 3*u = x - 7, 2*u + 9 = p*x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6 + t**3 - 5 + 0 + 1 + 7*t**2 - t. Let y be ((1 - 2) + -6)\/1. Calculate w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254*j**3 + j**2 + 150 wrt j?\nAnswer: -1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 1\/4*o**4 + 3*o**3 + 16*o**2 + 0 = 0. Calculate o.\nAnswer: -4, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/7 + 28844*o**4\/7 - 4*o**3\/7 - 57688*o**2\/7 + 2*o\/7 + 28844\/7 = 0. Calculate o.\nAnswer: -14422, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**2 + 13*c - 419. List the prime factors of u(17).\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487\/8 + 4463\/72. Factor -7\/9*t + 1\/9*t**2 + v.\nAnswer: (t - 5)*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 15 - 3*f + 5 - 7. Let v be u(-9). Solve -j - 8 - 5 = -2*g, g = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Determine m(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-252)\/48 + 6)*25796\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(175)\/sqrt(175))\/((sqrt(5) + sqrt(55)\/(sqrt(33)\/sqrt(3)))*-5))**2.\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/63)\/5)\/((-21)\/(-18)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.031 - 0.03099824. What is f rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 40. Suppose -3*i = i - r. Suppose 3*x - 543 = -5*k, 0 = k + 4*k - i*x - 571. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)*b**(-6)*b)\/((b*b*b**1*b)\/(b*b**(-4)*b)) assuming b is positive.\nAnswer: b**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056439 rounded to six decimal places?\nAnswer: -0.000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4226117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1539*y + 8. What is c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -165?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -46, -62, -84, -112, -146, -186?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4361\/2 - -2186. What is the fourth biggest value in 0.4, -2\/5, -24\/5, t?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 11*m**2 - 9*m - 27. Determine t(-12).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z. Let q(v) be the third derivative of -v**6\/30 - v**5\/60 - v**4\/24 - 2*v**2. Let i = -163 - -165. What is i*b(l) + 2*q(l)?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3451 - -1364\/652239. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 4*g - 4. Let o(c) be the first derivative of -c**3\/3 - 5*c**2 + 4*c + 36. Let u = 22 - 32. Let v be o(u). What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, f: 1, e: 1, s: 6, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*h + 3*l, -2*h + 5*l = -2 - 3. Let k = 7971 - 7970. Solve -7*y - 5*m = -2*y + h, -4*y - m - k = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2515336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c + 5. What is the units digit of a(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 78. Suppose -x - 7*x = -j. Solve -o + x = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose z*p = -m - 67 + 181, 4*p - 559 = -5*m. Let d = m + -49. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 423, 636, 849, 1062, 1275?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - ((2 - 6) + 2 + -1430). Let t = 119845\/84 - h. Calculate the common denominator of -73\/16 and t.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131440*v**3 - 131363*v**3 - v**2 - 131364*v**3 + v**2 + 394168*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17223884 and 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 4*j - 12, 3 = 20*y - 16*y - j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53 - -5) + 59 - 3) + (1 - (-1 + -10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - b\/2 - 2850.\nAnswer: (b - 76)*(b + 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 650*r**2 - r + 1. Let n(c) = -c. Calculate n(i(o)).\nAnswer: -650*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 80.4. Let c = -6.599907 - z. What is c rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/5 + 214801*f\/5 - 859124 = 0. Calculate f.\nAnswer: 20, 214781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3344 divided by -16\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let o(x) be the second derivative of 425*x**4\/6 + 3*x + 331. Calculate o(n(j)).\nAnswer: 850*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6940)\/4878 - (-28)\/18 and -13\/128?\nAnswer: 34688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (136\/32 - -3)*80. Is z at least 580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*t + d**3 - 97*d*t**2 + 2*d + 2*t**2 + 58 wrt t.\nAnswer: -2*d**3 - 194*d*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Let u = -44 + 70. Calculate the remainder when u is divided by (84\/(-18))\/(i\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 36*b**2 - 9732*b + 12901. Calculate k(269).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346228 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4703 - 233*m + 4699 + 4696 - 14098.\nAnswer: -233*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/21)\/4*3\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 1730*k**3 + 57*k + 117*k + 16*k + 1729*k**3.\nAnswer: -k**3 + 209*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - p**3 + p**3 + (0*p + 0*p + p**3)*(-3*p - 4*p + 5*p) - 4*p**4 + 3*p**4 + 0*p**4 + (5 - 2*p**3 - 5)*(-2*p - p + 2*p) + p**3 + 5*p**4 - p**3.\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8. Let q = b - -2. Find the second derivative of j**3 - 4*j + 3*j**q + 2*j + j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21270 is divided by 409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 - 15*l**2 + 80*l + 115. Let m(b) = -25 - 32 + 2*b**3 + 8*b**2 - 40*b + 0*b**2. Let k(o) = 5*m(o) + 3*p(o). Factor k(s).\nAnswer: -5*(s - 3)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.38 + -2.68. Which is the third smallest value? (a) m (b) -2\/7 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 6096350*u\/7 + 6096348\/7.\nAnswer: 2*(u + 1)*(u + 3048174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624820391 to the power of 1\/2, to the nearest integer?\nAnswer: 51233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-147))\/(-1)*6*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21086 is divided by 3492?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 154*h + 144. Let w be f(-21). Let n = -4 - 0. Let v be 6\/n - 22\/(-4). Put w, -1, v in increasing order.\nAnswer: w, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1652070567 to three decimal places.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24860202 rounded to three decimal places?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 171*d**3 - 1443*d**2 - 3411*d - 1794 = 0. What is d?\nAnswer: -1, 13, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*(sqrt(77) - sqrt(77)*2 - sqrt(77)))\/sqrt(7))**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 3*o**2 - 3*o**2)*(1287*o - 428*o - 666 - 420*o + 2270 - 437*o) to the form n*o**3 + d + r*o**2 + u*o and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-18))\/((-20)\/150))\/(6\/4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 11 - (27 + -32 + -97).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7034805*s - 4725468?\nAnswer: 7034805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (35 - 18) + (0 + -5 - -7 - 50).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89307 - 136856 = -17*c - 56316. What is the highest common divisor of 194 and c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2.308\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/360 + 101*v**4\/8 - v**2 + 148*v. Let a(h) be the second derivative of l(h). Let d(g) = -83*g**2. Determine a(d(m)).\nAnswer: 166*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22211212210 + 1202000?\nAnswer: -22210010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 964888693*n*x - 400850474*n wrt x.\nAnswer: 964888693*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4\/(-1 + 2). Suppose -5*i - 4*m = -m, 5 = -m. Suppose i*k + k = -2*x - 12, x + 7 = -f*k. Let q(u) = 6*u + 1. Calculate q(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 5*r**4 + 1 + 2*r**4 + 4*r**4 + 2*r**2 to c*r**4 + n*r + h*r**3 + j*r**2 + f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 18, 3 in descending order.\nAnswer: 18, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 + 5 = -3*b, -3*h = -4*b - 47. Suppose 8 = -p - h. Let w = p - -23. Solve -m - 4*m + 19 = -w*s, 5*m = -2*s + 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-4)*u\/u**(-7)*u**(-6)*u**(-2)*u assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 454690*l - 19096908\/7.\nAnswer: -2*(l + 6)*(l + 1591409)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195184, -195170, -195164, -195172, -195200, -195254?\n\"Answer: -r**3 + 2*r**2 + 15*r - 195200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0418798+-0.071\nAnswer: -0.1128798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110000001011000 (base 2) to base 12\nAnswer: -12334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -3*x - 8. Let j = 48 - x. Let i = -14 - j. Solve 6 = -4*z - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14645, -29273, -43865, -58409, -72893, -87305, -101633?\n\"Answer: 2*o**3 + 6*o**2 - 14660*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -5\/6*b**3 - 1\/6*b**4 + 0 + 0*b - 11*b**2. Differentiate w(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34729*z + 34720*z - 268 - 69470*z + 2*z**2 wrt z?\nAnswer: 4*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 77\/(28\/4) + 3*-1. Find the third derivative of -n**5 - z*n**2 + 17*n**2 + 4*n**2 + 27*n**5 wrt n.\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 105*o**3 + 3*o**2 + 5*o - 30. Let m(q) = -106*q**3 - 4*q**2 - 6*q + 37. Determine 4*b(a) + 3*m(a).\nAnswer: 102*a**3 + 2*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.5 rounded to 0 decimal places?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 3*w)*((-3 + 2 + 3)*(0*w + 0*w - 2*w) - w + 2 - 2 - w + 0 + 0).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3843, 7687, 11531, 15375?\nAnswer: 19219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30726531317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-364)\/2002)\/(16\/(-22)))\/(((-15)\/1120)\/(-3))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19539.\nAnswer: 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57704 (base 9) to base 8\nAnswer: 113117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 61. Let x be (6\/5)\/a*10\/(-3). Suppose x*y - 272 = 128. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2 + r - 1. What is a(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382735935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/506 - (-42)\/(-483).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 + 443*q + 1426. Calculate y(54).\nAnswer: 4936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, f: 1, i: 3, p: 7}. What is prob of picking 3 i and 1 h?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 983835.8 millimeters in centimeters?\nAnswer: 98383.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -119 times -12250\nAnswer: 1457750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1049535 and 50580?\nAnswer: 4198140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 - 1808565*r\/7 + 5425668\/7.\nAnswer: 3*(r - 602852)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/17, 0.1, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and ((-108)\/(-48))\/((-2)\/(-8)*1)?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1 - 4. Let d(u) = u**2 - 4*u - 5. Let x be d(4). Let c be (-2)\/x + 14\/(-10). Put c, s, 0 in increasing order.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 + 2*u - 4. Let g be w(3). Let o be -5 - (-4)\/(8 - 4). Let f be (-22)\/o*14\/7. Solve -3*q - f = -y, 0 = g*q + y + 5 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*n**3*p**2*q - a*n*p*q**2 + 2*a*p**3 + 5*n**3*p**3*q**2 - 2*n**3*p**2*q**2 + n**2*q**2 - 16*n*p**3 wrt p?\nAnswer: 12*a + 30*n**3*q**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:18 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22472136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-5) + 10)*(-221)\/969. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 453\/4*s**2 + 405\/4*s + 135\/4*s**3 + 3*s**4 + 75\/4 = 0.\nAnswer: -5, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and -24\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42128?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24847335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 42. Let p(l) = -l + 10. Let v(s) = -2*f(s) - 9*p(s). Determine v(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/105 + 107\/(-35) - 49\/133*-9?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 589498 and 2002?\nAnswer: 6484478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(72))\/sqrt(12))\/(sqrt(2) + sqrt(162)*2))**2*5.\nAnswer: 15\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 24 = -17*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 0*p**2 + 2*p**3)*(-2*p - p + 2*p) - 17*p**4 - 26*p**4 - p**4 to the form x + b*p**3 + y*p**2 + h*p + v*p**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 239.\nAnswer: -6\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02415 + 27.97585. What is the nearest to k in -6, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192) + -1)**2 + 1 + -1*(sqrt(192) + 2*sqrt(192))**2.\nAnswer: -1532 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*z + 963*z = -4704 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*b + 7772 - 37194, 0 = 5*s + b - 29426. What are the prime factors of s?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16*a - 81. What is h(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9258 by 5.\nAnswer: -9258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 385 - 150?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12544*r**3 + 7574336*r**2 + 16545884*r + 9019704 = 0. Calculate r.\nAnswer: -61\/56, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 191, 31, -169, -427, -761?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -179*(-1 + 0)*1. Let b = i + -118. Suppose -6*s + s = -5*t + 70, 5*s + b = 4*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 12. Let s be -6 + o - (4 + -9). Solve -s*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 24 = 4*g. Let v(b) = 6*b**3 - 2*b**2 + 8*b - 33. Let i be v(g). Let p = -79 + 118. What is the greatest common factor of p and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from tstshtsthstss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 854344*s + 45618979396 = 0.\nAnswer: 106793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 113 = -2*d + 177, 52 = v + 3*v - d for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/78125 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x**2 - x)*(0 - 5 - 7)*(3 + 2*x**3 - 3).\nAnswer: -48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127793184*c**3 - 327137796*c**2?\nAnswer: 766759104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/360 - h**4\/12 + h**2. Let y(j) be the second derivative of n(j). Let d(q) = -3*q + 3*q - 3*q. What is y(d(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.82 - 0.18. Let t = 0.3 - 0.1. Let f = 953 - 954. Which is the closest to f? (a) 4 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2178978\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 3, v: 5}. What is prob of picking 1 v and 2 e?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7031966034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - 4481. Let s be (30\/9)\/(3\/y). What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084585425 rounded to 6 dps?\nAnswer: 0.008459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10324, -20993, -31662, -42331, -53000, -63669?\n\"Answer: -10669*y + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/3 - 10*u**3\/3 + 12*u**2 + 37*u. Let l(s) = 0. Calculate s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4435*t**2 - 4470*t**2 + 8925*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is nineteen halves of a kilogram in grams?\nAnswer: 9500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 5*f + 115. Let w = -14 - f. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 + 245\/25. Let t be 15\/d*(-2)\/9. Let i = 2 - 2.1. Which is the closest to i? (a) 3\/5 (b) -5\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2. Let h(q) = -10*q - 1 + 0 - 4 + 3*q. Let n(s) = -6*s - 4. Let c(m) = 4*h(m) - 5*n(m). What is c(z(g))?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 5. Let r(b) = 5*b - 14. Suppose 0 = -j - j + s + 23, 2*j - 21 = -s. What is j*y(k) - 4*r(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 254, 477, 700?\n\"Answer: 223*o - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11392217.\nAnswer: 11392217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + -0.1. Let j = 1 - -0.2. Let c = j + -1.2. What is the nearest to c in -0.5, 5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*0\/17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5991762 and 2586?\nAnswer: 5991762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwooooowwowooooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jdjxded.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*t - 2*w - 27, -3*t + 5*w = -68. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*t - 648, 0 = -4*a - 3*t + 681 + 241. What is the lowest common multiple of a and 26?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let k(c) = -1957*c**2 + 59*c - 2. What is u(k(z))?\nAnswer: 1957*z**2 - 59*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d + 87*d = 158*d + 649132. List the prime factors of d.\nAnswer: 2, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (7 + -5 + -15 + 2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i - 3. Let w(n) = 16*n + 6. What is 9*h(g) + 4*w(g)?\nAnswer: -8*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 - -3932205.\nAnswer: 3932228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.2, 5, -643, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/7 - 149573*s**3\/7 - 21368*s**2 + 299148*s\/7 = 0 for s.\nAnswer: -2, 0, 1, 149574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (6 + 162\/(-6)). Let y = -15618\/17 + 919. Calculate the common denominator of y and (137\/(-90) + a\/90)\/(-1).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11721 = -3*z - 39222, 5 = -5*c. Let i = z + 16205. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1876, -4113, -6702, -9637, -12912, -16521, -20458, -24717?\n\"Answer: s**3 - 182*s**2 - 1698*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816822 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 787752 and 136080.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 2, x - 2*m + 3 = 0. Solve -21 = 4*b - x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 8. Let h be u(-6). Suppose 3*q + 10 = 8*q, h*f + q = 18. Let x(t) = 3*t**2 - 2*t**3 + t**3 - 1 + 5*t + 0*t**3. Give x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 11) to base 3.\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 584, 600, 616, 632, 648, 664?\n\"Answer: 16*f + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/(-10) - 14\/(-35). What is the second derivative of 15*v - 4*v**4 + m*v**4 + v**4 wrt v?\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 918037.84 to the nearest 100.\nAnswer: 918000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m*m**8)\/m*m)\/m)\/m**5)\/(m**(1\/13)*m**(-2\/5)) assuming m is positive.\nAnswer: m**(346\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (187 - -2) - (-12 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8588 + 8600 = 2*f, 30 = -2*w + 4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 x when three letters picked without replacement from {b: 2, x: 12, m: 5}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617253 is divided by 9587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 15*w + 4. Give f(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20947250 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847369 is divided by 347.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1915\/9 + 213. Which is the smallest value? (a) -2 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 248 = 2*w + 2*v, 0 = 3*w + 4*v - 358. Suppose 0 = -5*k + 4*k + g + w, -5*g + 25 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 348*s - 1352. Give n(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-3)\/(-297))\/(8\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188383573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114273?\nAnswer: 3, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9823*d**2 - 19647*d**2 + 9828*d**2 + 1049 - 1049.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -7e?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.16611ng in milligrams?\nAnswer: 0.00001716611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 3*g - 4. Let k be w(3). What is the second biggest value in -2, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -458 - -455. Do -3 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4529958 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 5*b - 11. Give q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 96*y**3 + 54*y**2 + 140*y + 84. What is c(-1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 9*q + 4. Let j be m(-7). Let o = 35 + j. Let c(r) = r**2 - r - 2. What is c(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 14 = -6*k + 10*k, -4*r = -2*k + 7*k - 2*k - 82 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 10) + 9 + (1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*g + 2536 - 77 = -1311 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -21, -29, -39, -51?\n\"Answer: -n**2 - 3*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:15 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -33.38. Let c = x + -2.5. What is the smallest value in 0, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, 3, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2557, -0.3, 0.2, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -19713\nAnswer: -2\/19713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + c = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((27\/12)\/3). Let f = 6 + j. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - 17. Let h = -31.4 - b. Let g = -328 - -330. Put g, h, 13, 0.4 in decreasing order.\nAnswer: 13, g, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q**2 + 5*q + 10. List the prime factors of l(7).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w*y**3 - 13*w*y**2 + 8*w + 118*y**3 + 219 with respect to y.\nAnswer: 15*w*y**2 - 26*w*y + 354*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + -1 + sqrt(684) + -4 + -2*sqrt(684)*-3 + 5.\nAnswer: -3 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**3\/3 - a**2\/2 + 14*a + 1. Does 5 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -3\/4 (c) 156 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -47*n + 45*n. Suppose -49*u - 2 = -n*u. Solve 2\/3*y**u - 2*y - 8\/3 = 0 for y.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 9 = -5*k. Suppose 0 = -3*t - 7*h + 2*h - 16, -3*t + 5*h + 4 = 0. Let p = t + 5. Solve k + 6 = p*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 3*f**3 - 2*f**3)*(2*f - 2*f - f).\nAnswer: -f**4 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 1. Let t be -12 + 17 + 2\/1 + -12. Let o(p) = -10*p**2 - 5. Give t*n(q) + o(q).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 - 4. Put 2, -0.14, p, -0.5 in descending order.\nAnswer: 2, p, -0.14, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = y - 24492, 2*y - 1191*a = -1190*a + 49061. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34\/1437 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/18926 and 119\/396.\nAnswer: 3747348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*w - 0*d - 42, -5*d = -4*w + 58. Let n be (-39)\/w + 3 + (-2)\/(-8). Is 1\/45 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 6*g**2 - 3*g + 5. Let y be j(5). Let s = 19 - y. Suppose -90 = s*d - 10*d. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 225\/6 + 27\/(-18) + -6. Solve -4*t = 2*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2*d**7\/21 - 7*d**4\/6 + 5*d. What is the third derivative of b(k) wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(17\/(-4335)). Let z = w + 90. Suppose -12*x + 1260 = -z*x. Calculate the highest common factor of x and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 5 (b) 13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78616 is divided by 3014?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 4, i: 13}. What is prob of picking 3 d and 1 i?\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and 47\/1466093?\nAnswer: 14660930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010221081 to five decimal places.\nAnswer: -0.01022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3832.1 - -3832. Which is the third smallest value? (a) u (b) -1\/3 (c) 0.0699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-5*sqrt(6)))**2 + (((sqrt(78) - (-1*sqrt(78) + sqrt(78))) + sqrt(78))\/sqrt(6))**2.\nAnswer: 1313\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32902356 and -0.4552088?\nAnswer: 32902355.5447912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188*(-9)\/(-468)*-13.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 0*v**3 + 4*v**3 - 182*v**2 + 182*v**2 + v**3 - 10 + (0*v**2 - 4*v**2 + 3*v**2)*(2*v - 5*v + 2*v) + (7*v - 8*v + 8*v)*(8*v - 8*v + 2*v**2).\nAnswer: 17*v**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*l + 19357*l**2 + 15505*l**2 + 25*l - 9356*l**2 - 2*l**2 - 3*l**2 + 4*l**2 + (0*l + 2*l + 0*l)*(1 - 1 - 2*l) to x*l + y*l**2 + u and give y.\nAnswer: 25501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -145*u + 141*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 68. Solve -z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 663 - 311 - 17*k - 10*k - 297. Determine c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + l + 92 = -0*z, -3*l + 12 = 0. What is the highest common factor of 144 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 6:56 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 191*r**3*w + 2680*r**3 + 5*r*t + 23*t*w - 336*t + 370 wrt r?\nAnswer: 573*r**2*w + 8040*r**2 + 5*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5*j**3 - 7*j**2 + 14. What is the second derivative of i(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 30. Let w be m(-22). Let i(u) = -64891*u - 128. Let g be i(w). What is g rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23970 divided by 170?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g - 12 = 0. Let s(i) = 8*i - 6. Is s(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1079533 or 8636269\/8?\nAnswer: 1079533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 7)*(12 - 12 + 16*h) + (0 + 2 + 0)*(4*h - 4*h + h) + 2*h + 0*h - h.\nAnswer: -141*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 52. Let u be g(0). Let o = 56 - u. Suppose 3*n + 365 - 8 = 4*k, o*k - n - 351 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13*a**2. Let c(x) = -2*x**2 - 7*x + 7. Let n(p) = -p**2 - 5*p + 5. Let i(v) = -5*c(v) + 7*n(v). Determine i(f(h)).\nAnswer: 507*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 44*f**2\/7 - 118*f\/7 - 76\/7.\nAnswer: -2*(f + 1)*(f + 2)*(f + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151244, -151241, -151238, -151235, -151232, -151229?\nAnswer: -151226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 126663261, 3, -0.3?\nAnswer: 126663261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**4 + 114*u**3 + 276*u**2 - 546*u + 147.\nAnswer: 3*(u - 1)*(u + 7)**2*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(5\/2))\/s**5)\/(s**(-3)*s**(-10)) assuming s is positive.\nAnswer: s**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15980, 31961, 47938, 63911, 79880?\n\"Answer: -2*y**2 + 15987*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-252) + (-2)\/(-16)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1194, -1068, 1704, 8448, 20490, 39156, 65772?\n\"Answer: 221*t**3 - 3*t**2 - 1412*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 + 69*j**2 + 129*j + 63 = 0. Calculate j.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66784, -66780, -66776, -66778, -66792, -66824, -66880, -66966?\n\"Answer: -j**3 + 6*j**2 - 7*j - 66782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - c = -28, 4*b - 21 = 4*c + 7. Calculate the remainder when 65 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -69 + (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 25*j**2 - 105*j + 29. What is t(-29)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -4. Let a = -6 - q. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 23 + -22 + 0 + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295.049796 rounded to zero dps?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -31 + -22 + -2 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125628 or -1?\nAnswer: -125628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 20 = 5*d, 25 = 5*n - 4*d. Let k = 5 - 1. Let f be (-17)\/36 + 1\/4. What is the third biggest value in f, k, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, i: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 + 6*a + 24. Suppose v = -3*b - 24, -5*v - 9 = 2*b - 2*v. What is j(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -73*v**3 + 5*v**2 + 5*v + 34. Let l(f) = 73*f**3 - 4*f**2 - 4*f - 34. Give -4*k(o) - 5*l(o).\nAnswer: -73*o**3 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1076, 2260, 3440, 4622, 5812, 7016, 8240?\n\"Answer: u**3 - 8*u**2 + 1201*u - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 945533 - 0?\nAnswer: 945533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 3*c - 4*c)*(111 + 298 + 13)*(3 - 4 - 1)*(2 + 0 - 4) in the form b*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/q)\/(q*q**(-2\/11)\/q*q)*q**(-8)*q*q**(-7) assuming q is positive.\nAnswer: q**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**7*r)\/(r**(-4)\/r) assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 576 + -34559\/60. What is the second biggest value in -0.01, -5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80920 and 33431520.\nAnswer: 234020640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 10*m**2 - 15*m + 5. Give r(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 471 - 580. Let d = p - -230. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5401 is divided by 849.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -379 + 50. Let v = w + 59. Let f(k) = k**3 + 6*k**2 + 5*k + 3. Let r be f(-5). Solve -r*s + i + 4*i - 9 = 0, v = 4*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*d - 718*d + 32*n - 866 = 312 - 294, 0 = 4*d - 5*n + 115 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3045.945 nanograms to kilograms.\nAnswer: 0.000000003045945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 1 in ascending order.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -102. Suppose 3*z - 4*p = -p + 132, -y*z + 138 = -5*p. Suppose z*j - 111 = 38*j. What is the greatest common divisor of j and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -393, 4, 3, 10, 2, 5, -19 in descending order.\nAnswer: 10, 5, 4, 3, 2, -19, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 4*j**2 + 5*j - 5. Let g(p) = -p**3 + 2*p**2 + 2*p - 2. What is 5*g(k) - 2*s(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-2)\/(-2) + (-2)\/(-1)). Solve p = 2*m - 2, y + 0*y + 3*m + 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-2 - -8) - 31?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -57*m - 4. Let s(j) = 114*j + 7. Calculate -11*f(w) - 6*s(w).\nAnswer: -57*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/9))**(-23) assuming b is positive.\nAnswer: b**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, k: 1, a: 1, l: 2}. Give prob of sequence kll.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*h = -21, 62*h - 566 = -2*c - 808 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8 + 2909*s**2 + 4*s + 2027*s**2 - 46*s**2 - 8. Let g be c(-6). Round g to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -500*y + 510*y. Which is smaller: -2\/193 or y?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**7\/15 + m**4\/8 - 7*m**2\/2 + 5. Let o(n) be the second derivative of p(n). What is the second derivative of o(a) wrt a?\nAnswer: 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(1620\/1175) + -6 and 37\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 83. Solve d + 2\/11*c**2 + 2\/11*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppqjpppvvqvqpq. What is prob of sequence qjp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1150)\/(-25))\/(1\/4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 1204. Let k(z) = -46*z. What is k(x(l))?\nAnswer: -46*l**2 - 55384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16493791 is divided by 105?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 667943971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:50 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-912)\/190)\/((-352)\/(-40)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 49 = -25*u + 4*k, 37 = 4*u - k. Solve 5 = -v + u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/10 - t**4\/12 - t**2\/2 + t - 5. Let i(h) = 3*h**3 - 99*h**2 - 75*h + 39. Let u(k) = i(k) + 3*p(k). Factor u(b).\nAnswer: 3*(b - 12)*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.031503 and -0.14.\nAnswer: -0.108497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*s - 4 + 2 = 0, 5*u + s = -10. Let g(q) = -2*q - 2. Let c be g(u). Let i be (-16)\/(c\/16*-2). What is the highest common factor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 14*n**3\/3 + 43*n**2\/3 - 10*n.\nAnswer: n*(n - 10)*(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-11) + (9 + 0)*-1. Suppose -3*z + 53 = h, -3*z - 14 = -4*h - 42. Let c = 10 - z. Do f and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-380)\/15)\/(-19))\/((-12)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2597?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/(r*(r*r**(-3\/14))\/r))\/r)*(r**(1\/2)\/r)\/r*(r*r*r\/(r**(-3\/10)*r))**(7\/8) assuming r is positive.\nAnswer: r**(1287\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from wswxssksskwwxsiiix.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let v = o - -1.075. Round v to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537279226 to the power of 1\/2, to the nearest integer?\nAnswer: 39208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - -6.47. Let b = o - 6.4. Let a = -0.3 - 1.7. What is the nearest to -1 in b, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r**14)\/(((r*r*r**1\/r)\/r)\/r)**(-1\/12) assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101110101000110111 + 10?\nAnswer: -10101101110101000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyfyyiyfyyfvafyvyf.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-10)\/(-20)) + 7\/((-196)\/(-238)). Factor 17\/2 + 1\/2*a**2 - f*a.\nAnswer: (a - 17)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2. Let a = 203 - 405\/2. Let r(s) be the first derivative of -5 + 0*s + a*s**2. Determine t(r(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 + x**2 - 11*x - 10. Let y(u) = u**3 + 2*u + 2. Let a(q) = 2*w(q) + 11*y(q). Let m be a(-2). Solve 20 = m*d + 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1137 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24604 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*(-108)\/84.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -3\/2*u**2 - 1\/3*u**3 - 6*u + 0*u**4 + 1\/10*u**5 + 0. Let h(k) = -k**3 + 2*k + 2. What is 3*h(z) + 2*r(z)?\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -936 + 962 + (-1 - -2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*c + 20 + 256*c + 813*c - 1584*c + 254*c.\nAnswer: -2*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h + 900. Let r(s) = -22*s - 901. Calculate 4*m(d) + 5*r(d).\nAnswer: -2*d - 905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 398*n**2 + 406*n**2 + 0*n + 400*n**2 + 405*n**2 - 1607*n**2.\nAnswer: 2*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4*z - 8 = 0. Let n be 6\/z*(-4)\/6. Let t(y) = 11*y**3 + 2*y + 1. What is t(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 10) to base 5.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-2*m + 2*m + m) + 6*m + 65 - 69 + 0*m to the form f + b*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 37 = 4*z. Solve -3*l = l + j - 22, 4*l - 26 = -z*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/1260 and -58\/226149.\nAnswer: 13568940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, 1\/3, -14, 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7485474 + 7485468.9999884. Let s = k - -5. What is s rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 708278 and 12?\nAnswer: 4249668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6*126\/14. Suppose 0 = 2*k - p*k. Solve 4*a + k*v = -v - 8, 0 = 4*a + 5*v + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10470 + 20943 + 2*w - 10473. Let d(g) = -566*g. Give n(d(x)).\nAnswer: -1132*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 16*s + 22329 = 0. Let m = s - 1603. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2518 - -2516.233. Round o to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 7*y**2 - 26*y - 14*y**2.\nAnswer: -20*y**2 - 26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-7)\/s)**(-19\/5)\/(s**14*s*s*s**(-1\/6)) assuming s is positive.\nAnswer: s**(323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:26 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1216*g**3*z + 9*g**3 - 2*g**2*z + 11*g wrt z.\nAnswer: -1216*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 - 1204*t**2 - 89996*t + 91204 = 0.\nAnswer: -151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 20, 4, 0, -26 in decreasing order.\nAnswer: 20, 7, 4, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120110222 + 211?\nAnswer: 120111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 36, 0, 2, 46 in decreasing order.\nAnswer: 46, 36, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 3. Let l be o(3). Let a(h) = 2*h**2 - 14*h + 17. Let n be a(6). Let g be (-13 - 45\/(-5))\/(-1). Solve -l - n = g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(448)*-1 - sqrt(448) - sqrt(448).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/9 + 122*h**4\/9 + 116*h**3\/9 - 80*h**2\/3 = 0.\nAnswer: -60, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2189*u**2*z**2 - 532*u**2 + 3*u*z wrt z.\nAnswer: 4378*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 885502, 885565, 885668, 885811, 885994, 886217?\n\"Answer: 20*z**2 + 3*z + 885479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 1349637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = 0. Let v(c) = f*c**3 + 2*c + 3*c**2 + 1 - 3*c**3 + 2*c**3. Let d(r) = -r**3 + 9*r**2 + 12*r - 16. Let k be d(10). Calculate v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 13867?\nAnswer: 13862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4531416\nAnswer: -4531416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8073.5 + -8074. Let d be (0 - 1)*-1*16. Suppose 4*s = 5*s + d. Sort s, -5\/4, a.\nAnswer: s, -5\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/7)\/(5\/10). What is the second smallest value in v, 5, 1\/2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0100374 - 0.0088. Round c to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13587\/51365 or 1?\nAnswer: 13587\/51365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68499485 is divided by 198.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 0.4614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + 3216 = 5*t, -t - g + 644 = 0. Let d = t - 2549\/4. Find the common denominator of d and 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + -0.1744. Let n = -0.126 - j. Round n to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 57, 90, 119, 138, 141, 122, 75?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2*o = 1680. Is 60 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/5 + 339747*o\/5 + 67950 = 0.\nAnswer: -1, 113250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -127725644 divided by -4?\nAnswer: 31931411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4*j + 2. Let c be l(4). Suppose 4*u - 1 = -1. Let q be u\/(c + -5 - -1). Solve q = -4*g - 16, 7*g = 4*m + 4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 1\/3, -0.3675 in increasing order.\nAnswer: -0.3675, 0.3, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = 5*o + 37*j + 1, j + 2 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2159 + -2138. Suppose 2*n - 3*t = -0*t + 40, 4*t = 3*n - 58. Calculate the greatest common factor of n and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 21410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000096996 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 + 2*g - 16. Let a be n(-7). Suppose 21*m - a*m = 24. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63170*m - 65960 = -64140*m for m.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.08*-2\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**20\/(s\/s**17))**(-49) assuming s is positive.\nAnswer: s**(-1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*-5*sqrt(539).\nAnswer: 280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20473, -40753, -61017, -81259, -101473, -121653?\n\"Answer: q**3 + 2*q**2 - 20293*q - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 3*u + 1. Let p(j) = 7*j + 38. Let g be p(-5). List the prime factors of d(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27037552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28*x**2 - 4411*x - 102. What is o(-157)?\nAnswer: 2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-191)\/(-771640)). Calculate the highest common factor of o and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.5, 0.2, 1\/9 in ascending order.\nAnswer: -0.5, 1\/9, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 0*i + 3*i - 31 + 23. Let n be o(4). Suppose 4*h - 55 = -h. Solve h = n*x - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0 + 3 + j + 3*j. Let m be f(-2). Is 5 a factor of (1\/3)\/(m\/(-75))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**2\/2 + 3*g - 3. Let a(u) = 3*u - 4. Determine -3*a(w) - 4*h(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - w**2 + 18*w**2 - 16*w**2 + 1608.\nAnswer: -2*w**2 + 1608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 90 = 286. Let q = 5872.4 + -5872.4. What is the closest to -1\/2 in q, k, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4944 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*((sqrt(170) - sqrt(170)*1) + sqrt(170) + sqrt(170) - sqrt(170))*2)\/(sqrt(30)\/sqrt(12) + 5*sqrt(10)*-1))**2.\nAnswer: 4352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/7 (b) -6609 (c) -4\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-534)\/(-45) - (-12)\/90. What is the derivative of -g*y**2 + 4 + 11 - 1 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 707808 and 22296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 39.88. Let w = 169 + -169. Is w != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424155 = 500*z + 1429655 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*f + 2)*(f - 105 + 103 + 0*f + f**2)*(f + 0 + 0) to the form a*f**2 + o*f**3 + v*f**4 + z*f + b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 91*p**3 + 1. Let z be d(1). Let l = 155 - z. Suppose 3*n = l - 15. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 4 (c) -3\/8 (d) -3.3 (e) 2 (f) 0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 13*f**2 + 12*f - 11. List the prime factors of d(13).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 38*s. Let d(o) = -o. Let u = -20330 + 20331. What is u*c(h) - 2*d(h)?\nAnswer: 2*h**2 + 40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqq when three letters picked without replacement from {q: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0115 - 2.0115. Suppose -5*v - 32 - 68 = 5*q, v = -3*q - 10. What is the second biggest value in g, -1, -0.3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 * 100.61\nAnswer: -0.80488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-8\/5)\/g)\/g)**(2\/3))**(-23\/3) assuming g is positive.\nAnswer: g**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43 times 0.397\nAnswer: 17.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*h - 508 - 899 = -828*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2225*x - 2. Let t be l(1). Let j(v) = v**2 - 2223*v + t*v. Let n(f) = -5*f**2. Determine n(j(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i + 27*i = -52092. Suppose -17*d + 1320 + i = 0. Is d a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25234871, 25234854, 25234811, 25234730, 25234599, 25234406, 25234139, 25233786?\n\"Answer: -2*g**3 - g**2 + 25234874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t**(3\/2)*t assuming t is positive.\nAnswer: t**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((957\/22)\/(-29))\/(9\/48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -46*c**2 - 27*c - 14. Calculate p(5).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {k: 2, v: 1, c: 1, y: 1, p: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/3 + 6)*6. Suppose 3*a = -3*k + 7*k - 47, 0 = k + j. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:30 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82.618 - -1.482. Let o = b - 97.66. Round o to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8082499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.077+-0.07\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(3) + sqrt(3))**2 + sqrt(3))*6.\nAnswer: 6*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 + 235. Determine t, given that 2\/3 + t - 8\/3*t**2 + t**b = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360))\/(sqrt(24)\/(sqrt(3) - -2*sqrt(3))))**2*4.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1167 - -1264) + 3 + -21\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 40*k = 4*k - 448 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 856\/6823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - 2*o - 2. Let h(k) = k**2 + k. Let u(x) = -x**3 + 11*x**2 - 9*x - 7. Let d be u(10). Give d*h(w) + g(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwikikijkikww. Give prob of picking 1 w and 1 k.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/8)\/3*58\/377.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/12 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*j + 658*j + 14*j - 15828 + 130852 = 0 for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = h. Let x(t) = 40*t + 1. Let k be x(1). Suppose 3*n + 3*d = 51, -d - 4*d = -h*n + k. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + 4*t**2 - 6*t + 5. Let u(m) = -4*m**3 - 4*m**2 + 6*m - 5. Let p(l) = 5*q(l) + 4*u(l). Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.03, 0, -5, 0.9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55549c (base 16) in base 3?\nAnswer: -101112010002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/16)\/(-4 + 190\/40).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6.3. Let n = 15.5 - 5. Let w = 5.5 - n. Which is the smallest value? (a) w (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107576 + -70645. What are the prime factors of i?\nAnswer: 36931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1458 + 342. What is x rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(1\/2))**17\/(i*i**(-2)*i*i**1))\/(i**(4\/7)*i**(1\/8)*i\/i**(1\/8)*i**1) assuming i is positive.\nAnswer: i**(307\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*f - 7 = 0, 17*f + 2898 = u + 7*f + 2866 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**3 + 20*j**2 + 32*j + 24. Suppose 104 = -24*y + 16*y. Let n be v(y). Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + 2*sqrt(720) + sqrt(720) + -1)**2*-6.\nAnswer: -39366 + 3888*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-10\/3)\/(((n\/((n*((n**(3\/2)\/n)\/n)\/n)\/n))\/n*n)\/n*n*n**4\/n*n*n) assuming n is positive.\nAnswer: n**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 2*m - 2. Let l be (-8)\/(-6) + (-273)\/63. Let i(d) = d**2. Determine l*i(a) - y(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 11*k - 11*k + 2*k**2 to the form g*k**2 + m + j*k and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - r - 350, 4*r + 2 = -14. What are the prime factors of k?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2198*o + 28 = -2184*o. Solve o*r + 22 = -4*m, 5*r - 2*m + 27 = -5*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p**5 + 24*p**4 + 284*p**3 - 216*p**2 + 36*p = 0. What is p?\nAnswer: -3, 0, 1\/4, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -44, 4\/3.\nAnswer: -44, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/85)\/(-4) + (-91974)\/(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199832159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 8*n**2 + n + 5. Let m be h(8). Suppose m = -u + 10. Is u smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose 51 = 3*y + 3*w, 3*w + 47 + 62 = b*y. Let t = 44 - y. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2251\/3 - 741. Let f = -9 + z. Let g be (1\/4)\/(2\/(-4)). Which is the biggest value? (a) 5 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87598251 and 39?\nAnswer: 87598251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55951 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 527086606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r**2 + 8*r + 2. Let s(j) = 17*j**2 - 7*j - 2. Give -5*c(l) - 6*s(l).\nAnswer: -17*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 - -3 - (-14 - (12 + -4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 3*v - 13. Let r be w(0). Let g(j) = 230769*j - 3. Let x be g(r). What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 2*v**5 + 5*v + (-5 - v + 5)*(62 - 62 - 14*v**4) + (-v**4 + 3*v**4 + 0*v**4)*(0*v + 0*v + 2*v) - 2*v**3 + 2*v**3 - v**5.\nAnswer: 19*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 82, 178, 260, 322, 358, 362?\n\"Answer: -x**3 - x**2 + 106*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-6) - (-1)\/3. Let g = -46 - -82. Suppose -217*b - g = -220*b. Solve -o*t + b = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:18 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9 - 27 = 0. Suppose 4*c - r*c + 95 = 0. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121752 and 178356.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m - 294. Is p(-67) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344397, 2755101, 9298447, 22040757, 43048353, 74387557?\nAnswer: 118124691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 403. Let o = 374 - j. Calculate the highest common factor of o and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1010001000001111001?\nAnswer: 1010001000001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2\/13 (c) -0.1 (d) -164\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74453, 74448, 74443, 74438, 74433?\n\"Answer: -5*g + 74458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 0 - (-39 - (18 + -52 + 7))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/1*(-112)\/70. Solve 3*i = -a - t*a + 11, i - 3*a = -1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 - 38 = 5*b, -21 = -4*f + b. Let v be (-2 - (-102)\/10) + (-141)\/705. Solve 0 = -t + f - v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 9. Let n(a) = a + 2. Let x(u) = 2*c(u) - 9*n(u). Suppose -3*f = 2*f. Suppose -2*o + 5*r - 7 = 0, 2*o - 5*o + r - 4 = f. Calculate x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/(-178)*((90 - 79) + (-103)\/9). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16167 is divided by 1759?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by 182111.\nAnswer: 187\/182111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -5 - -12 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4 in increasing order.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 17*m + 323 = 0. Let z be ((-1122)\/(-12))\/m*2. Let h(d) = -d - 4. Let g(b) = -4*b + 4 + 2*b - 15. What is z*h(w) + 4*g(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/40 + 7*u**5\/60 - u**4\/6 - 1921*u**3\/6 - u**2 + 543*u - 2. What is the first derivative of a(d) wrt d?\nAnswer: -9*d**2 + 14*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -40, -120, -274, -526, -900, -1420, -2110?\nAnswer: -2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -4*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 6. Suppose 2*v - 16 - 24 = d, v - u*d = 20. Calculate the remainder when 77 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 18*n + 1. Suppose g + 3*c + 2 = 0, -3*c + 20 = 5*g - 6. Calculate the remainder when m(1) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 16*r + 1. Let w be 42\/(-3) + (3 - (4 + -7)). Give i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 531, 1, 33, -4 in decreasing order.\nAnswer: 531, 33, 1, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*u + 3*g + 2*g, -4*g - 4 = 0. Suppose -3*p - u = -10*p. Calculate the highest common factor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5563 is divided by 372.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*v - 17, 2*o + 3406 = 6*v - 9*v + 3422 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*z - 3. Let x be 1*(2 + -1 + 1). Let y be (-2 - -2 - x)*-1. Solve -y*p + z*c = 4, p + 1 + 1 = 5*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, 1 j, and 1 w when four letters picked without replacement from {w: 3, f: 1, e: 1, x: 4, p: 1, j: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65722694*h**2 - 196830733 wrt h?\nAnswer: -131445388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:19 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 196*c + 1990. What is the remainder when 98 is divided by i(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8720 - -33615. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (4 - 12) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32019 + -11234?\nAnswer: 20895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10864 and 27280.\nAnswer: 18523120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:15 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9*d - 13*d + 307 + 21*d in the form u + j*d and give u.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*h - 14, 2*h = 3*b - 11 + 1. What is the nearest to b in -3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6062183.\nAnswer: 17, 43, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 7. Let c = k + 12. Calculate the least common multiple of c and (-6)\/15 - 42\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -12, 2 + 13 = -o + 4*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6517982 weeks in seconds?\nAnswer: 394207.55136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -2 (d) 9 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/48 - 3*s**3\/4 + 117*s. Determine n so that f(n) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123*d**2 - 689*d**2 + 755*d - 607*d**2 + 2076 + 3*d**3 + 277*d + 378*d**2.\nAnswer: 3*(d - 346)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7013 = z - 230, 10171 = 3*q - 5*z. Suppose 6*u - 2*k = 4*u + 1358, q = 5*u - 4*k. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.009 and 4.\nAnswer: -24.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -59. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 28 = -8*i. Suppose -5*c - 16 = -3*q, 2*q = -q - 4*c - i. What is the derivative of 12 - 23 - 23*z + 3 + q wrt z?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4381 + -4360. Let y be 27\/14 + (-12)\/28. Sort -1, n, y in ascending order.\nAnswer: -1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40347058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 12*o.\nAnswer: -3*o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3917 - -7031. Let g = -1860 + u. List the prime factors of g.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34312 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 8, r: 5}. Give prob of sequence cc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-264) + (-38)\/88)\/(100\/40)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 37*f**2 + 28*f - 16. Let t(v) = -7*v**2 - 5*v + 3. Let k(s) = -2*c(s) - 11*t(s). Let m(g) = -4*g**2 + 2. Determine -3*k(a) - 2*m(a).\nAnswer: -a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-60))\/(2\/63939). Let m = y + -2658. What is the common denominator of ((-89)\/44)\/((-3)\/(-6)) and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 5. Let m(n) = -10*n + 98. Calculate m(y) + 12*x(y).\nAnswer: 14*y + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 172 = -7*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.5, -3, 4.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0.552.\nAnswer: -7.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3683158?\nAnswer: 2, 1841579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w + 18. Let b be m(-3). Suppose b = -j - 52 - 22. Let x = 485 + j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 4858281.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125034712 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9 + (-92 - 11088\/(-162))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**2 + 243020*f + 2952936020 = 0.\nAnswer: -24302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -205, -208, -211, -214?\n\"Answer: -3*f - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(2156)*-2)**2 + -4 + 4) + -4.\nAnswer: 51740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44426475 or 44426497?\nAnswer: 44426497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110580 and 1170?\nAnswer: 4312620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*4\/6. Let z(t) = 2*t**3 - 23 - 5*t**3 + 23 - 2*t**3 - t. What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 10.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**4 + 0*z**3 + 0*z**3)*(6413 - 684 - 1126 + 8797 - 1091) to x + f*z**2 + p*z**3 + j*z + m*z**4 and give m.\nAnswer: 24618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2188?\nAnswer: -875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)\/(c**(-4)*c))**(-1\/11)\/(c**2\/(c\/(c**(-2\/23)\/c)))**(-6) assuming c is positive.\nAnswer: c**(-580\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320 + -224. Let t(d) = d**2 - d + 4. Let g be t(-4). Calculate the greatest common divisor of q and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:27 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 22*p**2 - 17*p - 60. Let s be r(21). Let u = 240 + -168. What is the greatest common divisor of u and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7780 + -7774. Let u(p) be the first derivative of -g*p**3 + 5\/2*p**4 + 0*p - 3 + 0*p**2. What is the third derivative of u(s) wrt s?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:04 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 447668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 28, 35, 26, -5?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-116)\/6)\/(40\/(-420)). Suppose 2*u = 235 - z. Solve v + 2 + 6 = -2*w, 4*w - v = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98490458.\nAnswer: 2, 11, 313, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003768 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + 1*sqrt(77))*3)\/(((sqrt(121) + (sqrt(121)*-1 - sqrt(121) - sqrt(121)))*-4)\/sqrt(11)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 2, k: 1, t: 1}. Give prob of picking 2 n and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (580\/(-87))\/(272\/(-612)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 145 = -5*d, -d + 0*d = 3*h - 95. Suppose -q + 6*q = h. Let n(k) = 2*k - k + k**3 + q + 5*k**2 + k. Give n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-304)\/(-532)*14\/(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -81, -80, -79, -78, -77?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.8 or 29.14322?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31760 divided by 5?\nAnswer: -6352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/3 + -3 + -3. Which is the third smallest value? (a) -1\/8 (b) t (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24978469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 2*y**2 - 4*y - 2. Suppose -5*l = -3 - 27. What is the lowest common multiple of a(-2) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 16 - 37) + 21 + 2 + (129 - -2)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n. Let h(i) = -4*i**2 - 3*i + 3. Let x(d) = 3*d**2 + 2*d - 2. Let z be (3\/5)\/((-6)\/30). Let j(q) = z*x(q) - 2*h(q). Give j(g(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 10*s + 33. Let q be o(13). Let x(f) = -f**2 + 4*f - 6. Let w be x(4). Is q at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2\/9, 21, -3\/5, 3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + -0.3. Let s = -492717 - -492717.4. Which is the nearest to 2? (a) 0 (b) -3\/2 (c) k (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -p + 6, 4*m + p - 26 + 38 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, f: 1, a: 3, p: 1, o: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16)*(-2)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 10) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 419, -3, -11, 3, 0, -2 in decreasing order.\nAnswer: 419, 3, 2, 0, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from uaaaaaaaaauuaa.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:50 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l**2 + 17*l - 18. Let y(o) = 44*o**2 + 35*o - 39. Let z(m) = 13*u(m) - 6*y(m). Let x(n) = n**2 + n. Give 44*x(c) - 4*z(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4514 is divided by 393?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42026 - 42014.0044. Let n = -13.6 + 1.6. Let c = n + y. Round c to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 56974*k**3 + 17 - 28486*k**3 - 28494*k**3.\nAnswer: -6*k**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2621 - -7744\/3. Let k = -40 - b. What is the third biggest value in k, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Let w(s) = 10*s - 10. Let l(t) be the second derivative of 25*t - 1\/6*t**3 + 1\/2*t**2 + 0. Determine h*w(b) - 12*l(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.3 and -12.4?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.0299\nAnswer: 0.0598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:30 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -154653588.51 rounded to the nearest 10000?\nAnswer: -154650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2921581, 11686325, 26294235, 46745311, 73039553, 105176961, 143157535?\n\"Answer: 2921583*u**2 - 5*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*d - 40, -l - 22 = -0*d - 5*d. Solve t = 2*u + 3*t, -24 = l*u - 3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3200 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6163 - 6164. What is the nearest to 36 in 0.5, a, 5.3?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -86960\nAnswer: -8696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -7. Let w = 3 + v. What is the nearest to -0.2 in -5, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -701.21 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-6) + -7)\/(1\/9). Let n(r) = -12*r - 3. Let x(z) = -2*z - 1. Let m(y) = f*x(y) + n(y). Let l(b) = 20*b. What is m(l(d))?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 14845843799.\nAnswer: 14845843802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2\/2 + 23*q + 27. Let t be y(23). Calculate the least common multiple of 55 and 420\/21 + -5 + t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*m + 8, 5*l = -3*m - 31 + 11. Suppose k - 1024 + 1008 = m. Solve k = -12*q + 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91775, 91805, 91833, 91859?\nAnswer: 91883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(147) + ((sqrt(147) - sqrt(147)*-1) + sqrt(147) - sqrt(147))*-1 + 2) - (-1*sqrt(363) + 4*sqrt(27) + 4))**2.\nAnswer: -88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x + 32. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 270 - 4650. Let n = -430 + d. What are the prime factors of n?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 447\/5. What is the second biggest value in 0.5, 364, m, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 1 - 7*j + 6*j)*(-j - 6*j + 5*j) to the form k*j**2 + z*j + f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 0*b + 3*b - 8. Suppose -5*o + 0*g + 32 = g, 3*g - 19 = -4*o. Is q(o) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 721\/12?\nAnswer: 721\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1991 - -2815. Calculate the highest common divisor of 81 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 13. Let n(z) be the third derivative of z**4\/24 - z**3 - 2291*z**2. Calculate 4*a(v) + 9*n(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/20 - 13*x**4\/12 + 5*x**3\/6 - 25*x**2 + 108*x. What are the prime factors of i(15)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10893871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -5 - (-5 - (1 + 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-63)\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(456) + sqrt(456))*4)\/(3*sqrt(24)\/sqrt(3)))\/(-4*sqrt(6)\/sqrt(2)*-1*6).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3 - 3)*(8*m - 5*m - 16*m)*(-m + 0*m + 3*m)*(-2*m + 4*m - m).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -254\/23. Let g be 14\/4*(-46)\/(-322)*(4 - 2). Is g at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-530)\/(-20)*(-6)\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 124. Let z(c) = -2*c. Calculate z(l(i)).\nAnswer: 4*i**2 - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13752972 is divided by 1852.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -448*y + 473*y. Solve 29*j = y*j + 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*k - 399*k = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1502*j**2*l**3 - 31*j**2*l**2 + 3*l**3 - 159*l**2 wrt l.\nAnswer: 9012*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -971 - -1605?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*10\/390*13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953254 + -450?\nAnswer: -2953704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 33*i**3 - 12*i**2 + 10*i + 59. Calculate u(-2).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1)\/(((-24)\/(-63))\/(20\/70)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/(-22) + (-58)\/(-319). Suppose -4*w - 3 + 17 = a, 3*a - x = w. Let f(b) = -b**2 - 3*b. Let y be f(-4). Sort -14, y, a in decreasing order.\nAnswer: a, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:06 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 80. Suppose 0 = q - 3*q. Suppose q = 4*a + 2*s + 10 - 82, 2*a + 5*s = c. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 4*w - 2*w + 3*w - 4. Let r(l) = -2*l - 4. Let k(s) = 6*q(s) - 5*r(s). Give k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 192\/28 - (-4)\/28. Let d be 88\/15 + y\/45. Solve -t - d + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (64 - 1) + -2035 + 2030.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.398 + -8.398. Sort -0.5, 15\/17, c, -1\/4, 2\/5 in decreasing order.\nAnswer: 15\/17, 2\/5, -1\/4, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47046a - 1?\nAnswer: -47046b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 1, b: 2, y: 1, j: 1, t: 1}. What is prob of picking 1 t and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzwh when four letters picked without replacement from hzkwkbd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 681 = -671. Suppose -g*j + 12 = j. Solve 3*o - j - 33 = 5*d, 4*o = 2*d + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76153001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29164 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1611, 3212, 4815, 6420, 8027, 9636, 11247?\nAnswer: 12860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 6*h**2 - 7*h + 4. Let q be w(4). Suppose -j + 4*g = -18, -q = 16*g - 12*g. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 a factor of 1440511422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 - 4*z + 13. Let u(f) = 1. Calculate 3*m(o) + 12*u(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/3)\/j**(-2\/13))\/(j\/j**(-2))**(-25) assuming j is positive.\nAnswer: j**(2996\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((3 - (-3 - -5)) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 50. Give z(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u + u - 271 - 71 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.402*-208.\nAnswer: 83.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16079 is divided by 5356?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j - 11*j**4 + 3*j**2 - 3*j**2 + 5*j**4 wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:17 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnxinxnnn. Give prob of sequence xix.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 686ca4 (base 14) to base 2\nAnswer: 1101100011011111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 6*w + 1. Let i = 7 + -11. Suppose 0 = -2*m - 2*p - 2, -3*p - 2*p = 25. Let h(b) = 2*b**2 - 4*b**2 + 4 - 3 - b - m*b. Give i*l(d) + 5*h(d).\nAnswer: -2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*x + 11 = -6, -4*b = 3*x + 37. Let l = b + 14. Let y(a) = -14*a + 11. Let v(i) = 5*i - 4. Calculate l*y(u) + 11*v(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27*x**2 + 3. Suppose 46*t - 83*t = -185. Let b(a) = -11*a**2 - 1. Determine t*c(l) + 12*b(l).\nAnswer: 3*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169503 + 807674. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s + 61*s - 17*s as h*s + f and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 108.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187889 is divided by 858?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyt when three letters picked without replacement from uytuytbuuuytu.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4242349 rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1141, -2223, -3311, -4405, -5505, -6611, -7723?\n\"Answer: -3*k**2 - 1073*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175 + -764. Let s = j - -9423\/10. What is the common denominator of 1\/(-12)*1*-2 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**5)\/h*h)\/(h**(-1\/10)*h)*(h*h*h\/h**(-1\/2))**(-1\/14) assuming h is positive.\nAnswer: h**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34.2 and 34459908714.\nAnswer: 34459908679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let o = 1 - 1.5. Let y be 2\/(-6)*16\/(-12). Which is the third biggest value? (a) o (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 18127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, 4, -21 in ascending order.\nAnswer: -21, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 7. Suppose -t + n*r = -2*t + 57, 5*t - r - 369 = 0. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let f be 1*4 - (4 - -6). Let a = f - -3. What is the second biggest value in -0.1, n, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -35*h**2 + 1052*h - 76. Calculate a(30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l. Let n(p) be the third derivative of -p**4\/12 + 34*p**2. What is j(n(u))?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2 + 0 + -6)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184257 - -278321. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + r**3 + r**2)*(-388*r + 369*r - 248*r) to d*r**4 + g + f*r**3 + z*r + t*r**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602\/7 bigger than 800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:02 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477960 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/(-12)*144\/120. Solve -29*n + 15*n + d = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 0.15, -5, 0.2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let d = j + -2.4. Let x = 0.8 + -0.9. Which is the second biggest value? (a) d (b) -1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.35 - -0.11. What is w rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*q + 5*z, 0 = -4*q - 5*z + 7*z + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3197 = 1085. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 34*f**2 - 82*f - 42. Give x(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2)\/(11\/98) - (-226)\/1243. Solve u + 27\/2*b**2 - 69\/2*b - 3\/2*b**4 + 9\/2*b**3 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*y - 64. Suppose -3 = u - 8. Calculate the least common multiple of u and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 4, -730, 0, -4 in descending order.\nAnswer: 6, 4, 3, 0, -4, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/7 (c) -243 (d) 9832\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -5*o**6\/153 - o**5\/51 - o**4\/204 + 7*o**3\/2 - 3*o**2\/2 + o + 46. Let f(n) be the second derivative of p(n). Factor f(w).\nAnswer: -2*(10*w + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -4172 (b) -157 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 60. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)\/((u\/(u*u\/u**(-1\/5)))\/u)*((u*u**1)\/u*u)\/((u**(-3\/11)*u)\/u) assuming u is positive.\nAnswer: u**(47\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 + 3 + 2*x + 2. Let q be d(-5). What is the remainder when 15 is divided by 12\/(((-18)\/4)\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4456554986\/575 - -7750534. Let t = 43\/23 - r. Calculate the common denominator of 45\/11 and t.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c - 1. Let h = 230 + -224. Give p(h).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/4, -268, 3\/5 in increasing order.\nAnswer: -268, -1\/4, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10470*o**2. Let x(f) = -8*f. Calculate c(x(w)).\nAnswer: -670080*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/2, 1\/7, -1\/3, -0.4, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*s**5 + 4*s**5 + 2*s**2 - 7*s**5 wrt s?\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*((-2 + sqrt(208) + 2 - (sqrt(208) - (sqrt(208) + 1 + -2 + sqrt(208)))) + 1)*6 + -2)**2.\nAnswer: -768*sqrt(13) + 479236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(585\/(-1370)) - -5 and -49\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149364, 298251, 447138, 596025, 744912?\nAnswer: 893799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95158464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6 - 4\/12. Let q(l) = -l**3 + l**2 + 6*l + 3. Let i be q(x). Let d be ((-4)\/i)\/((-7)\/21). Solve 0*k = d*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 476.3911kg?\nAnswer: 476391100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -62 (c) -0.2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 340*b**2 + 6875*b - 29750.\nAnswer: -5*(b - 10)*(b - 7)*(b + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40643 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529629*w**2 + 176552*w**2 + 176546*w**2 + 176529*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.118 + -0.39. Let o = -0.47 - i. Let v = o + 0.15. Round v to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -49 - (4 + 3 + -5 + -9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 480*t**2 - 32*t + 64. Let q(p) = 44*p**2 - 3*p + 6. Let w(k) = 32*q(k) - 3*y(k). Let u(c) = c**2 + 4*c**2 - 4*c**2. Calculate w(u(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345222 and 34096.\nAnswer: 2761776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.07\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -3, -0.4, 896.6, -50?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2788846 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6630, -27361, -61922, -110307, -172510, -248525, -338346, -441967?\nAnswer: -559382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*j**3 - 43*j**3 - 1.\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1300)\/(-221) - 4 - 2. Let q be 2\/6 + (-2)\/(-8). Which is the second biggest value? (a) q (b) v (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4119117606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/38275 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-50))\/(8\/(2 + 2)). Let g = 0 - -2. Which is the second smallest value? (a) 3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*j - 25*j + 8. Is ((-28)\/(-8) - j\/4) + 1864 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 75, 17, -63, -171, -313, -495?\n\"Answer: -g**3 - 2*g**2 - 29*g + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755504 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -208, -228, -266, -328?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -5?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0) + (4 - -1). Suppose 812*v = 1625*v - 824*v + 55. Sort 1, y, -4, v in ascending order.\nAnswer: -4, 1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 - 8*a - 6. Let d be (-2)\/10 + 33\/15. Let l be 3*(d - 3) - -12. Let m be z(l). Solve 5*o + 5 = q, 0 = 6*o - o + m*q + 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 56 + 93 - 65*w**2 - 61 + 537*w**2 as r + f*w**2 + p*w and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 - 222. Solve -m*c - 24*c = -150 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*d - 107, 3*d + 3*m + 2*m = 83. What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**5 - 4*c**5 + 2*c**5)*(-4 + 1 + 1) + (28*c**5 + 4*c**3 - 2*c**3 - 21*c**5)*(4 - 1 - 2)*(-64 - 26 + 13).\nAnswer: -535*c**5 - 154*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-25) - 2)*24\/96?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f*g*z**2 + 13*f*g*z + 53550*f*t*z**2 - f*t*z + 2*g*t*z - 14*g*z**2 - g wrt t.\nAnswer: 53550*f*z**2 - f*z + 2*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**38*r\/((r*r**(-43))\/r*r)*r\/(r\/r**(-2\/71)) assuming r is positive.\nAnswer: r**(353\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-2)\/x)\/x)*x**(2\/19)\/x)\/(x*(x*x**(-1))\/x)**(2\/127) assuming x is positive.\nAnswer: x**(78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3717 (b) -18\/31 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 - 18*u**4 - 61*u**3 + 180*u**2 - 100*u = 0?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -927 (base 12) in base 16?\nAnswer: -52f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/25 - 56\/75. Let w = -352.8 - -351.8. Which is the closest to w? (a) 0 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let l = 0.07 - 0.37. What is the closest to -1 in -0.2, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -10 - ((-26 + 61 - 42) + (0 - -13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 + 5503\/15. What is the closest to 0 in n, 0.5, 2, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314755 is divided by 104897.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 671 and 528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p**2 + 6. Let n(g) = g**2 - 1. Let v = -2250 - -2244. Give v*n(c) - f(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.4 (b) 13 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and -3.2.\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 5*v - 483. Let y(k) = -k**2 - 2*k + 246. Calculate 5*o(x) + 11*y(x).\nAnswer: -x**2 + 3*x + 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (2 - (0 + -1)). Let a be (1\/(-4))\/(r\/8). Solve 3*o + 1 = 4*o, h = -4*o + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340*b**3 - b**4 - 19*b - 19*b**2 + 3*b**5 - 47*b**2 + 101*b**3 - b**4 + 43*b**2 wrt b?\nAnswer: 180*b**2 - 48*b + 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221300 (base 4) to base 12\nAnswer: 3b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w - 9*w - 16*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8546 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 129. Suppose -4*f - 2*u + 7 + 3 = 0, -m*u = -20. Solve f = -5*j - 23 - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -122, -172, -208, -224, -214?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -127 + -f?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370*z + 5*r + 104 - 33 = 1368*z, -2*z + 2*r = 19 - 53 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z + 1. Let r be f(-4). Let k = 5 + r. Solve -3*s = -k*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*m*(m*m**(1\/30)*m*m)\/m*m*m)\/m)**(1\/46)*(m\/(m**(-1\/5)\/m))\/(m**(-21)*m) assuming m is positive.\nAnswer: m**(30847\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 6*p**2 + 6*p - 4. Let o be k(-7). Suppose 2*r - 270 = -o*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y - 12, 3*a - 5*y + 67 = 0. Let b = a + 32. Solve -k - b = -3*f, -3 = -f - 2*k - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6819.128934 to the nearest ten.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:49 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303.6387073 + -303.64. What is c rounded to 5 decimal places?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -x. Let g = -12 + x. Solve g = -3*u - 6 - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 104751, 209805, 314859, 419913, 524967, 630021?\n\"Answer: 105054*k - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 - 3*v**2 - 3*v - 3. Let s = -10 + -4. Let z(c) = -9*c**3 - 7*c**2 - 7*c - 7. Determine s*h(d) + 6*z(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, 0.5, 1\/23, -11, 1 in ascending order.\nAnswer: -222, -11, 1\/23, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjnjjjjnjnnj. Give prob of picking 2 j.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1265, 8 in ascending order.\nAnswer: -1, 8, 1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (420\/15015)\/((-8)\/44)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h - 13316355 = -309*h. What are the prime factors of h?\nAnswer: 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72402.35g?\nAnswer: 72402350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 6. What is n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8.184 + 0.1\nAnswer: -8.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o - 368 = 5*b, -3*o - b + 344 = 0. Let j(y) = -y**2 - y + 35. Let a be j(0). Let h = -6 + a. What is the highest common divisor of o and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11527 is divided by 3415?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 29. What is z(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (-2 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p - 4*p)*(2*p**2 - 3*p**2 + 0*p**2) + (5 - 2 - 4)*(580*p**3 - 2877*p**3 + 1224*p**3).\nAnswer: 1071*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.619 - -8.619. Sort -3, 3, -0.2, 6, z.\nAnswer: -3, -0.2, z, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 + 11*p**4\/12 - 5*p**3\/6 - 23*p**2\/2 + 142*p. What is the least common multiple of 8 and y(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1480 and 1131040.\nAnswer: 41848480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 3) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*x - 61*x - 65*x + 243*x - 57*x + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -5, 15960, -4 in ascending order.\nAnswer: -5, -4, -3, -2, 5, 15960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -8, -41, 0 in descending order.\nAnswer: 0, -2, -5, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16292 - -36992. Calculate the highest common divisor of 180 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 - w - 1. Let a(f) = 20*f**3 + 12*f**2 + 12*f + 12. Suppose 0 = 3*o + 599 - 563. Give o*t(m) - a(m).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*n + 5 + 1 = 0, -n = 0. Let r(k) = k**2 + 4 + 0*k - 2*k - t*k - 2*k. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y - 29*y + 3 - 4*y**2 + 12*y - y**3 + 4*y. Let o(z) = -8*z**2 - 3*z + 1 + 7*z**2 + 2*z. Let s(h) = -d(h) + 3*o(h). Give s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3*33*(-18)\/(-81).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254 and 41275?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = c - 19. What is the nearest to 3\/5 in 1\/2, -1\/4, c, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 2*a = -78. Let f(z) = -5*z**2 + 14 - 6*z + z**3 + 0*z**2 - 13. What is f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.5687681 - -72.8555943. Let a = w - 61.42436. Let k = -18 + a. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - -0.7. Let b = 2.6 - i. What is the nearest to 0.1 in -3, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254767164 - 3480?\nAnswer: 254763684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = h. Let b be 3 - (h\/4 + -1). Solve b = -3*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5*l**3\/3 - 144*l**2 + 1352*l. Calculate p(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, j: 6}. Give prob of picking 3 a.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 12 = 3*t - 4*l, 3*t - 8*t + 2*l = -6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j - j**2 + j - 4 + 5 + 0*j**2. Let d(p) = 9*p**2 - 21*p - 5. Let f(a) = -d(a) - 5*i(a). Factor f(s).\nAnswer: -4*s*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-5 + 2 + sqrt(19)*-2)**2.\nAnswer: -68*sqrt(19) + 5495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.4. Let w(s) = s**3 - 6*s**2 - 7*s + 2. Let b be w(7). What is the nearest to g in 0.3, -4, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-6))\/((-3440)\/1032))\/((-54)\/20)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 6*r + 622. Let z(c) = -c**2 - 10*c + 1243. What is -5*q(h) + 3*z(h)?\nAnswer: 2*h**2 + 619","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1596 + 0.0807. Let d = -8.0789 - a. What is the fourth biggest value in -0.01, 3\/4, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994787 is divided by 211.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 134756.9mm in nanometers?\nAnswer: 134756900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -429\/79 (b) 2\/3 (c) -1 (d) 1 (e) 3\/8 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:13 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -23 + 10 + 16 + -49\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33 at least -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 5*s - 12. Let l be s\/(-13) + 290\/26. Suppose 0*q - q - l = -2*y, -2*y + 7 = 3*q. Solve y*v + 2 = -18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:53 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.97138 micrometers to millimeters.\nAnswer: 0.00297138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4005387 to the nearest integer?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1055949 - -7\nAnswer: -1055942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 u when three letters picked without replacement from buhtkbkhkikhkkb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/51896 and 79\/27576.\nAnswer: 178885512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*r + 708 - 104 = -950 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -18. Let j = -18 - -30. Let u = l + j. Solve 4*b - 4*m - 20 = u, 3*b = b + m + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74900 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -52. Suppose 76 = -6*j - 6*j + 112. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/9406 - 171662\/23515. Calculate the common denominator of 4\/5 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, c: 15}. What is prob of picking 3 c?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r + 340*r + 60*r)*(1 - 1 + 1)*(5 + 5 + 3).\nAnswer: 5018*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-12)\/(-144))\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 782030832 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*x = -11, 9*x + 19 = -5*j + 20*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 0. Let m(g) = g**3 + g**2 + 2*g + 2. Let y be m(a). Suppose 26 = y*h - 0*h. Calculate the remainder when h is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/420 - n**4\/24 - n**3\/6 - 9*n**2. Let l(q) be the first derivative of p(q). What is the derivative of l(a) wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 7, -0.51, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - p = -22, 0*a + 3*a - 4*p - 32 = 0. Suppose 0 = -a*j + 92 + 36. Determine c so that 56*c - j*c - 23 + 5*c**3 + 3 - 25*c**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046854 is divided by 585?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -303 - -296. Let r be (-140)\/n*68\/5. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/4)\/(4\/(-24)). Let y = 0.3 + -0.2. Let b = 0.3 + y. What is the second smallest value in -0.1, p, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (7 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3882527466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -8, -20.7, 1, 4, 2\/5 in decreasing order.\nAnswer: 5, 4, 3, 1, 2\/5, -8, -20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1880031424 to the nearest integer?\nAnswer: 43359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -1\/3 (c) -2.1 (d) -451582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14231, -28415, -42599, -56783, -70967, -85151?\nAnswer: -99335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -20*l**2 + l + 9. Let h(v) = -5*v**2 + 2. Let r(s) = -2*b(s) + 9*h(s). Find the second derivative of r(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 445, 1709, 3795, 6703, 10433, 14985?\n\"Answer: 411*m**2 + 31*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6334, 12776, 19220, 25666, 32114?\n\"Answer: t**2 + 6439*t - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-4 - -3) - 32. Is -29 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -582 - -582.0899. Let a = -0.09 + g. Round a to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = t + 760 + 239, -3*t = -5*b + 3030. Let v = t + 2738. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 913.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6*x - 28 + 6 - 24 to the form w*x + c and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.3, 161, 2, 1\/8 in descending order.\nAnswer: 161, 2, 1\/8, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039299148.\nAnswer: 2, 17, 239, 63949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r. Let y be j(2). Let k = -697\/318 + 4\/159. Find the common denominator of k and 1 - ((-31)\/y - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.03178mm in micrometers?\nAnswer: 9031.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2466*p**2 - 46848*p + 132. Calculate y(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 742, 1071, 1390, 1699?\n\"Answer: -5*z**2 + 344*z + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/257889 and -53\/124.\nAnswer: 1031556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 3*y + 12 = 3*r - 14*y, 3 = 3*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -82*f**2 + f. Let r(j) be the first derivative of j**2\/2 + 567. Determine o(r(c)).\nAnswer: -82*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 274 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*h + 2\/5*h**5 - 2\/5 - 2\/5*h**4 - 4\/5*h**3 + 4\/5*h**2 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -291*s**3 - 4*s - 3. Is k(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, 1022?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.33 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 2:06 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 4251*c + 2 + 3*c**2 + c**2 + 33466*c.\nAnswer: -2*c**2 + 29215*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 15493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3626 and 3180?\nAnswer: 11530680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2. Suppose 7 = -2*k + 1. Let r = 8 - k. Let c(x) = -3*x**3 - 11*x**2. Determine r*i(d) - 4*c(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -33 + 34 - y**3 + 10*y**2 - 16*y + 13. What is the remainder when o(6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10357*h**2*k - 43*h**2 - 6*h*k - 15354819*k wrt h.\nAnswer: 20714*h*k - 86*h - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 4. Let z(q) = 2*q**2 + 7. Suppose 2*g + 14 = 3*h + 31, -g - 3*h = -4. Calculate g*m(f) - 4*z(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*o + 6, 51*u - 48*u + 12 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-222)\/(-126)*-3 + (-4)\/(-14). Let m be 3 - (3 - (-1)\/(-1)*y). Let r = 508\/5 - 102. Sort -3\/4, r, m.\nAnswer: m, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + (-45)\/(-20). Let h be 2\/((4\/c)\/2). What is the second derivative of 0*l - 3*l - l + 5*l**h + l wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 2, e: 1, x: 1, h: 2, g: 1}. Give prob of picking 2 y and 1 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose 0 = 5*p + 4*x - 34, -5*p - x = -z*x - 27. Calculate the remainder when (-1 - -28) + -9 - 9 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206.000027 - -140.6.\nAnswer: 346.600027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:41 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.61 - 0.15. Let v = -0.46 + f. Let m = v - 9.9892. What is m rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 14*f + 27 = 3*m, -4*m = -f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1750*f + 74. Let m(o) = -1749*o - 63. What is -6*j(p) - 7*m(p)?\nAnswer: 1743*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/144*6)\/(2\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 12) + 14)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3 = 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10672, 21399, 32166, 42973, 53820?\n\"Answer: 20*b**2 + 10667*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -13. Suppose a*c + 2*c = 20. Let k(f) = -3 + 1 - c*f**2 + 2. Let r(n) = -4*n**2. Calculate r(k(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 152748, 1221933, 4124010, 9775425, 19092624?\n\"Answer: 152741*c**3 - 2*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 814.203km?\nAnswer: 81420300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times -0.0238313\nAnswer: -0.15490345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/2)\/((-1)\/2). Let p = -6 + h. Factor -4*k - 2*k**2 - 7*k**2 - 3*k**2 - p*k**3.\nAnswer: -k*(3*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -9 (c) -2 (d) -6\/5 (e) 2\/21 (f) 2\/11 (g) 123\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 - 3*o + 3. Suppose -v + 5 = -1. Let l(r) = -2*r + r**2 + 8*r - v*r. Determine m(l(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 18 = 41*r - 2*q, -q = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/2 + 5172*m**3 + 4305753*m**2 - 262928964*m + 7753201707\/2.\nAnswer: 3*(m - 29)**2*(m + 1753)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19161.7837 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 442 + 55*a**2 + 20*a**2 - 220.\nAnswer: 75*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 439164504*f**5 - 92467278*f.\nAnswer: 8783290080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/((-2)\/(-3)). Let n be (-3 - (-15)\/6)*10. Which is the third smallest value? (a) -2\/29 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = -3. Suppose -206 = -5*t - 3*g - 80, 3*t = -q*g + 72. Suppose -t - 50 = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004990789 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2 = 6, -372*d - 18 = -375*d + 3*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = a - w - 3*w, 5*w + 110 = 5*a. Suppose -417*v + 122 + 1048 = -391*v. What is the greatest common factor of a and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774 less than 1809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:12 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**5*i + 1764*g**4*i + 45*g**2*i - 7*g*i - 5*g wrt g.\nAnswer: -180*g**2*i + 42336*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.137 - 8.237. Let x = a + 8. Let m = 0.956 - -0.344. What is the closest to x in -1, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 + 2*a + 1. Suppose b - 6*b - 15 = 0. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 3 + -6 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + (-29)\/(-2). Let y = -2 - n. Let p be (12\/(-10))\/(y\/40). Solve -q = -p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 = -131. Suppose 5*g - 286 + b = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 21*d**2 + 12*d - 13. Let b be q(10). Let r be (b + -1)*(-60)\/24. Let f(v) = -4*v - 23. What are the prime factors of f(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -42508549\/2*w**3 - 1096209*w**2 - 108 - 18846*w = 0.\nAnswer: -6\/349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251 + -170. Let x = 21 + g. Let f = 156 - x. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4896 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2058 - -2057.929. Let z = -0.2751 - 1.6539. Let s = h + z. Which is the third biggest value? (a) s (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 15 - 18. Let q be (3 - (2 + (3 - 2))) + u. Let l be (-2)\/(-11) - (-42)\/11. Solve 3*n = -2*i + 17, 3*n - l - q = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 129, -2, 11, 17.\nAnswer: -2, 1, 4, 11, 17, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.076 - 0.076026. Round y to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*d + i, i - 19 = -5*d + 4*i. Let k(t) = 7*t - 3. Let p(o) = -47*o + 5. Let x(w) = -29*w + 5. Let v(u) = -p(u) + 2*x(u). What is d*v(n) + 8*k(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 8*k - 4. Let w be n(6). Let f = w - 30. Solve 46*c = f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19826 + -0.69826. What is the smallest value in -15, -9, z?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 49*t - 72. Let k be x(-51). Suppose 18*c = 6 + k. What is the lowest common multiple of c and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -17. Suppose 2*f + 6 = 5*f. Let g(x) = x**2 + 1. What is the remainder when m is divided by g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(11)*3*-1)*-3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 5. Let j be (34\/6 + 1)*h. Suppose g - 6*g + j = 0. Solve 24 = -5*r + a, -3*r + g*a = -r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32178096, -32178101, -32178106, -32178111, -32178116, -32178121?\n\"Answer: -5*q - 32178091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6810 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115616 to six decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3109 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267 and 299841?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3800879 is divided by 174.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 2781.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 40765 = -27155. Suppose -435*f + g = -429*f. What are the prime factors of f?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*(p*p\/(p*p*p\/p**1))\/p))\/p)**(-27)\/(((p*p**1\/p*p)\/p)\/(p\/p**(1\/5))))\/(p**(-2)\/(p*p**4*p))**(-48) assuming p is positive.\nAnswer: p**(-2056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/7 - 176*x**4\/7 + 164*x**3\/7 + 864*x**2\/7 + 522*x\/7 = 0 for x.\nAnswer: -1, 0, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 14 + 42)*(-1 + 2*l**4 + 1) + (-2*l**4 - 2*l**3 + 2*l**3)*(1 + 0 + 2) - 20*l**3 + 15*l**3 - 6 - l**4 + 2*l**3.\nAnswer: 17*l**4 - 3*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 10*x + 34. Calculate w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 4*l + 0*l - 4. Let h(p) = -4*p + 7. Let x(v) = 33*v - 55. Let r(j) = -15*h(j) - 2*x(j). Let i = 13 + -18. Calculate i*n(u) - 4*r(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/8)\/((-6)\/(-16)*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 7399\nAnswer: 103586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 13. Let p(j) = j**2 + j. Let d be p(0). Suppose d = -3*q + 7*q - 24. Let t be y(q). Which is smaller: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145032377?\nAnswer: 3, 37, 47, 139, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-4208)\/(-26) - (-4)\/26. Suppose -7*t = -i + 7. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1708\/(-61))\/(-336))\/((-2)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82345373.\nAnswer: 11, 19, 393997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 12*a**2 + 3*a + 19. Let z(k) = -6 + 2*k - 4*k**2 - 3*k - k**3 + 0*k**2. Let s = -7 - 0. Let r(t) = s*z(t) - 2*u(t). What is r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:26 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.69049ml in litres?\nAnswer: 0.02669049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c. Let l(b) = 102*b. Calculate w(l(j)).\nAnswer: -510*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 + (-2211)\/(-55) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4660, -4666, -4672?\nAnswer: -4678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 8. Suppose 5*c + 21 = -d, -2*d + 2*c - u = 5*c. Suppose -231 = -7*f - 7. What is the greatest common factor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -533312030169?\nAnswer: -533312030162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 712976 divided by -44561\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - 386\/(-8). Calculate the common denominator of -47\/12 and 2 + 2*(-146)\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11337265 greater than or equal to 11337265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s**2. Let k(p) = 35*p**2 + 43*p + 595. Let n(i) = 12*i**2 + 15*i + 210. Let g(f) = 6*k(f) - 17*n(f). Determine g(y(a)).\nAnswer: 5766*a**4 + 93*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973093 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-81)\/4)\/(147\/56). Is -7 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 104. Let m(v) = 3*v**2 - v - 6. What is the remainder when 15 is divided by m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = l, 1 = -l - 0*i - 2*i. Suppose 3*j - l = 2. Let f(r) = r + 4. Determine f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -57*n**2 - 24. Let i(h) = -228*h**2 - h - 95. Let w(r) = -2*i(r) + 9*t(r). What is the second derivative of w(y) wrt y?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10980)\/29280)\/((-9)\/120).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*h + 47 - 76 + 37)*(3 + 3 - 4) as b + y*h and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvohohohvvvhvov. What is prob of sequence hvoh?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1137, -2241, -3343, -4443, -5541, -6637?\nAnswer: -7731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14133, 15926, 17719, 19512, 21305, 23098?\n\"Answer: 1793*c + 12340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 80*y + 61*y - 1 + 50*y**2.\nAnswer: 50*y**2 + 141*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 597\/35 - 4881\/280. Suppose -5*o + 14 = -3*x - 0*o, o + 6 = 5*x. What is the third biggest value in 4, -0.1, f, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 26, 46, 72, 104, 142, 186?\n\"Answer: 3*j**2 + 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.893 + 0.107. Suppose -5*q + 4*l - 15 = -0*l, 2*q = 3*l - 13. Which is the closest to -1\/9? (a) q (b) g (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 11*q**2 - 5*q - 11. Let r(x) be the third derivative of -x**6\/60 + x**5\/15 - x**4\/12 - 2*x**3\/3 - 14*x**2. Determine 11*r(m) - 4*s(m).\nAnswer: 2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1392930 - 47?\nAnswer: -1392977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j + 75*j - 22*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.2 (b) 8\/799 (c) -3 (d) -13 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:42 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 79811010 to the nearest 1000000.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 0, -8 = -4*o - f - 3*f. Suppose -o*d = -d - 4. Suppose -d*w + 5*w = 21. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.7971 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (-170 - 8) - (-12 - (6 - 2))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -50, -43, -20, 25?\n\"Answer: d**3 - d**2 - 7*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 676 and 3?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706676 divided by -176669?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/30 and -31\/30915132.\nAnswer: 154575660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231592050 to the power of 1\/2, to the nearest integer?\nAnswer: 56847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15675165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s. Let w(g) = g**2 - 15*g + 5. Let b be w(15). Suppose 0 = 4*k - b*k. Let l(n) = -3*n + n + k*n**2 - 4*n**2. Determine -l(a) - 2*o(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -39 + 7 + (-18 - -32) + 22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-2)\/(-4)). Let p be s + 3*(-2)\/(-6). Suppose p = -x + 6*x - 80. What is the remainder when 63 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**5\/3 - 234862*v**4\/3 + 2756410169*v**3\/3 + 12510648980*v**2 - 5151263124*v = 0 for v.\nAnswer: -14, 0, 2\/5, 23493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 4*o - 3. Let m be k(2). Let b be 6061\/66 - m\/(-6). What is the highest common factor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19306517\/134 + 144079. Let r = -4298 + 85903\/20. Calculate the common denominator of r and k.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.776 - -45.72. Let z = -18 - p. What is z rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 l when three letters picked without replacement from gglgdddl?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = y + y. Suppose x - 6*x + 3*b + y = 0, -3*x - 2*b + 14 = 0. Let h be (-4)\/x*(-6)\/4. Solve 4*c - 3 = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079708649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*n**2 - 660*n**2 - 1680*n**2 - 1261*n**2.\nAnswer: -3230*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*w = 10, -2*h = -14*w + 20*w + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 19*h**2 + 432 + 25*h**2 + 11*h - 1176 + 744.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 39*p**2 + 109*p + 181. Is o(54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/84*(2 + 14\/(-8))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149166971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4048*m**3 - 4*m**2 - 12*m. Let j(f) = 4047*f**3 - 3*f**2 - 9*f. What is 4*j(n) - 3*o(n)?\nAnswer: 4044*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -34, -2\/15, -0.1, -3\/4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/(-21) + 1\/(-3). Let q = s - -3. List the prime factors of (2\/q)\/((-2)\/(-198)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -641 - -643. Calculate the greatest common factor of g and 2098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(648))\/((sqrt(48)*2)\/sqrt(12)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 245 and -223 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-188)\/(-28)) + (-2)\/7. Are j and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 268, 277, 300, 343, 412, 513?\n\"Answer: k**3 + k**2 - k + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4253474 and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6536032898 - -6536032851.19999299. Let g = -46.8 - o. Round g to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176*g*n - 355588*g - 39*n - 1942575 wrt g.\nAnswer: -176*n - 355588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03696125995 and 2?\nAnswer: 2.03696125995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2586043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37533, 37532, 37531, 37530, 37529, 37528?\n\"Answer: -v + 37534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100111000111011110001 (base 2) in base 3?\nAnswer: -101022012202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2, a + 4*n - 120 = 5*a. Let j = 35 + a. Suppose -h + j*h = 2*p - 139, -3*h = -2*p + 133. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(160) - sqrt(160)*2) - sqrt(63)\/(sqrt(81)*1 - sqrt(9)))*-1.\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 133, 316, 499, 682, 865?\n\"Answer: 183*v - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 23*m + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 5, w: 3, f: 1, n: 1, i: 3}. Give prob of sequence xk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 3) + -3 + 8 - (-6 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 17*y - 278. Let d(o) = o**2 + 3*o + 4. What is the smallest common multiple of y and d(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 15*k**2 + 8*k + 5. Calculate i(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbno when four letters picked without replacement from abonbbbbbbbobb?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3929511 is divided by 280678?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x - 4. Let w = -8 - -15. Let l be r(w). Let t(f) = 5*f + 5. Let z(y) = -y - 1. Let d(p) = t(p) + 6*z(p). Determine d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -383. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 0.4 (c) -495988.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 plus 193921?\nAnswer: 194157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3350, -13392, -30114, -53522, -83622?\n\"Answer: -d**3 - 3334*d**2 - 33*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 790.900841 + -0.090841. Round w to zero decimal places.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*h + 3*h = -9636. Put -5, 1, h in decreasing order.\nAnswer: 1, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 1\/2*n**6 + 0*n - 3\/2*n**2 + 0*n**3 + 0*n**5 + 0*n**4 - 1. Find the second derivative of s(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/60 - 7*f**4\/24 + 2*f**3\/3 - 2*f**2. Let h be d(-7). What is the second derivative of u + 3*u**h - u + 2*u wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 45873 (b) 1\/10 (c) 9 (d) -0.2 (e) 1\/3 (f) 0.6 (g) -3\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000984771 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (16 - 5) - 0\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7289777.25 milliseconds?\nAnswer: 0.012053203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 + (-24362)\/(-7). Let x = -34861\/10 + m. What is the common denominator of x and 65\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7693004*u**3 + 9892333*u**2 wrt u?\nAnswer: -46158024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200725489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Let m be -4*(-2)\/(-5 - -17). What is the second smallest value in m, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11249 - -17689. Let a = f + 5320. Round a to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 5 + -2 + 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*r + 450*r + 1143846 = 0. List the prime factors of r.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18721, 1650, 35601, 83132, 144243, 218934, 307205?\nAnswer: 409056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 297056*u**3 + 297041*u**3 - u.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348199 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - 101. Find the third derivative of -60*n**2 + 6*n**3 - y*n**3 - 59*n**3 - 109*n**2 wrt n.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 832, 0.1, 17, 0.3, 0.4, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13143 + 17170. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 4*z**2 + 2*z + 1. Let j be c(3). Calculate the highest common factor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1450 and 87.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 7*h**2 - 9*h. Let u be j(-6). Is u\/(-117) + 1705\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42470 is divided by 4694?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91241.\nAnswer: 23, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 + -8.16. Let a be (74\/(-1295))\/((-2)\/14). Sort 3\/4, z, a in descending order.\nAnswer: 3\/4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9087)\/(-312)*(0 + 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*l + 12 = 0, 7*f + 2*l = 3*f + 2. Let k be f + -2 + 16\/4. Solve p - 23 = k*b, 4*p + 6 = -5*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011038642 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (-5 + -2 + sqrt(1584) - sqrt(1584) - sqrt(1584)) - sqrt(1584)*1*5) + -5)**2.\nAnswer: -144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 379*y + 21986. What is d(-58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -911*x + 6938 + 2030 + 7430 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4514123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023460378 to six dps.\nAnswer: 0.002346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -80*y - 8. Let l(v) = -79*v - 10. Determine 3*l(j) - 4*r(j).\nAnswer: 83*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-2) + (-7 + -729 - -5). Let g = n - -1478. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 2*n**2 + 274*n**4 - 352*n - 276*n**4 + 4 + 4*n**3 - 5 to the form w*n**3 + v*n + z + h*n**2 + q*n**4 and give v.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 46*k + 82 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + 0.1. Let t = 40.412 + -39.912. Sort y, -1.3, -0.4, t in decreasing order.\nAnswer: y, t, -0.4, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 + -197. What are the prime factors of 1057\/21 - p\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 26*j**2 + 8*j - 9. Let x be r(1). Suppose -5*b = -x, -5*i - b + 4 = -1. Solve -3*m + 3 + 9 = i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:58 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 13*w**2 + 6*w - 2. Let h be g(-7). Is h >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.36148336 to three decimal places.\nAnswer: 5.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*j = s - 872, s + 5*j - 854 = 0. Let p(b) = -b**3 + 13*b**2 - 53*b + 86. Let h be p(2). What is the greatest common divisor of s and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16\/(-240) - (-125404)\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:19 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12375 + -11368. What is the remainder when f is divided by 257?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -23 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1134 and 169\/2016.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275512639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 4683538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) -2\/11 (b) 3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9*o - 4*o = 37, -4*q + 2*o = -58. Let j be 284\/(-14) - 2\/(-7). Let z = 49 - j. What is the remainder when z is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 93 + 35 = -k, 5*k = -5*t + 80 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(13) - sqrt(13)*-2))**2 + 3.\nAnswer: 18*sqrt(13) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**4\/24 + y**3\/3 - 618*y**2. Let b(f) = -4*f + 9. Let l = 102 - 93. Determine l*z(i) - 2*b(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-7) + -113)*3\/(-2). What is the highest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1607300 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/230 and 5\/598.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176750*m**2 + 304*m - 159009752 with respect to m.\nAnswer: 353500*m + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) + sqrt(153))*3)\/(sqrt(81)*-5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13905796 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -32469 not equal to -32469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-684)\/208*1\/6. Let c = t + -11\/26. Let -c*k**2 + 3\/8*k - 1\/4 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*f**2 + 2*f - 10 + 616*f**3 - 1238*f**3 + 614*f**3 to h*f**2 + z*f + u + q*f**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20101211120010 (base 3) to base 7.\nAnswer: 40626066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (417 + 56 + 66)*(-2*l + l + 0*l) as n*l + d and give n.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 448200 divided by -40\nAnswer: -11205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t + 21*t = 22*t. Are t and -4\/103 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -4 (c) 0.04 (d) -193466\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 9*f - 16. Let k be l(-7). Let j = -735\/4 - -181. Is k equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33, -14, 33, 120, 259?\n\"Answer: 2*k**3 + 2*k**2 - k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118721654411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1748)\/(-57) + -33)\/(-1 + 8\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8092 = 2*h + 2*f, 3*h + 9*f - 7*f - 12141 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -5*v + 3*i - 775, 4*i = -v - 171. Let r = -151 - v. Solve r*c = -5*c - 5*n - 5, 19 = 5*c - 3*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*a + 36, -4*a - 6*f = -10*f - 20. Solve -2*u = -4*x - 0 + 10, -5*x = -u - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 36*h**3 + h**2 + h + 1. Calculate d(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.932um to kilometers.\nAnswer: 0.000000485932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 13*a + 120 = 0, 5*q = -6926*a + 6921*a + 80 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11*p**(-3\/8) assuming p is positive.\nAnswer: p**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.81 and 13.\nAnswer: 465.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/(sqrt(5)*1))\/(-2*sqrt(12)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 + 128*v**3 + 2 + 3 to the form s*v**2 + l*v**3 + a + t*v and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 - 2*i - 2. Give y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/50 + 8\/40. Is 3\/251 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*c**3 - b**3 - b**2*c + 10*b*c + 171*b - 9219790*c**3 + 412 wrt c.\nAnswer: -12*b**3*c - 55318740*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5217\/17 + -307. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48 and -525.8.\nAnswer: 25238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -46*a**2 + 428*a + 430. What is v(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 16 = -3*t, -201*t - 3 = -38*n + 35*n - 197*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uukkkkkkk. What is prob of picking 2 k?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1382 - 24983\/18. What is the common denominator of -17\/8 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37795 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202022011010 (base 3) in base 14?\nAnswer: -1a3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190356, 190240, 190124, 190008, 189892, 189776?\nAnswer: 189660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34780 and 1.68.\nAnswer: -58430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951*n + 340*n**2 + 951*n - 681*n**2 + 337*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -251*v + 787. Calculate the remainder when s(0) is divided by 208.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12) + (-12)\/24)*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*o - 64. Let v = o + -557\/13. What is the third smallest value in 5, v, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70913\/70 - -1013. Let p = k - 23\/280. Which is the biggest value? (a) 3\/4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (11 - 5) + -1 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -641*i + 4. Let c be x(-6). Suppose -2*o = -7*o + c. Round o to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28360032 divided by 886251\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 7224?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 463?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/2*o**3 + 5\/2*o + 1 + 2*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-298)\/(-66) + (-10)\/55)*45. Let y = -130 + b. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 7*l**2 - 5*l + 9. Suppose -46*g = -39*g - 7. Let c(i) = -i**2 + i. Let f(s) = g*m(s) + 2*c(s). Factor f(t).\nAnswer: 3*(t - 3)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-232584736.\nAnswer: -93033894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 53*q**2 + 899*q - 43501. What is x(55)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Let s(v) = 4*v - 5*v - y*v. Let o(j) = -2*j. Determine s(o(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 389579.6 micrometers to millimeters.\nAnswer: 389.5796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let k(i) be the second derivative of -i**4\/12 + i**3\/6 + i. Let w(t) = 3*j(t) - k(t). What is the second derivative of w(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/24 and 495\/(-936)*(65\/(-75) - (-4)\/10).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 r when four letters picked without replacement from rtttrtrt?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 3*i + 8. Let b be ((20\/3)\/1)\/((-4)\/(-6)). Suppose -b*a + a = -81. Suppose 4*v = a*v + 30. Determine y(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8\/14 + 342\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/7 - 6*r = 0 for r.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 4*c - 2 + 2*c**2 - 4*c. Suppose -n + 2*n + 6 = 0. Is m(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 - 9*r**2 - 7*r**3 + (4*r + 4 - 4)*(-4*r**2 + 6 - 6) to x*r**3 + u*r + m*r**2 + y and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -102 (b) -0.33 (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7276.\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*i + 31, 4*i - 70*d - 197 = -79*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 82.0303 centimeters?\nAnswer: 820303000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:02 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 110, 186, 280, 398, 546, 730, 956?\n\"Answer: r**3 + 57*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 5*n, 7*n = 5*c + 2*n + 45. Let u = 7162 - 64528\/9. Is u greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1393 * 4.\nAnswer: -0.5572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -0.03. Let o be (-4)\/(-6) + (-24)\/(-36). Which is the biggest value? (a) -0.5 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.08 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11241 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4330 = 2*q + 692. Suppose -f + 3*n - 6 = -928, n = 2*f - q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9842649 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19419003, 77676054, 174771145, 310704282, 485475471, 699084718, 951532029, 1242817410?\nAnswer: 1572940867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.1 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 1, w: 7}. What is prob of sequence msm?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/4*(-3 - -1). Suppose 5*d = -s + a, -4*s - 2*d + 7 = -37. What is the greatest common divisor of 110 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/6))\/((t**(-40)*t)\/t*t))**(3\/7) assuming t is positive.\nAnswer: t**(239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 0, -7, -5, 1, 7, 5 in increasing order.\nAnswer: -113, -7, -5, 0, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 1925*j - 1932*j + 0 + j**3 - 6. Let i = -4 + 2. Let h be i\/((-2)\/(-4)*1). Determine k(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111000110110100 (base 2) in base 3?\nAnswer: 121110110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16308 - 423758*m + 16308 + 423756*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001199 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3762*t**2. Let r(o) = 149792*o. Give r(g(b)).\nAnswer: -563517504*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6294256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -49, -4284, -2.\nAnswer: -4284, -49, -10, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Suppose 3 + 3 = j*r. Solve -5*x = q - 15 - 5, -r*q + 20 = 5*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*l = 4, -19*b + 15*b = -l + 29. Let t(n) = 5*n**3 - 3*n**2 + 63*n + 11. Let h(r) = -2*r**3 + r**2 - 21*r - 4. Determine b*h(z) - 3*t(z).\nAnswer: z**3 + z**2 - 21*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let q(a) = 1260*a - 336. Let f(i) = 56*i - 15. Let c(d) = 112*f(d) - 5*q(d). Give c(y) - 21*n(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (943\/126362)\/(3\/(-6))\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5 and 43\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**3 - 31*z - 7\/2*z**2 + 1\/12*z**4 + 0. Find m, given that b(m) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m)**(-11)\/((m*m\/(m\/m**(-11)))\/m)**(-2\/21) assuming m is positive.\nAnswer: m**(-1177\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1537 + 4582. List the prime factors of i.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/811 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7279 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 - 6*d**2 - 5*d + 5. Let j(p) = p**2 - 15*p - 29. Let x be j(17). Let c(g) = 4*g**3 + 5*g**2 + 4*g - 4. Calculate x*n(o) + 6*c(o).\nAnswer: -o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6656*b**3 + 19958*b**2 + 26654*b + 40 = 0.\nAnswer: -1, -5\/3328, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and -1300.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 4 (b) 2\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10409 (base 15) in base 6?\nAnswer: -1034330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 233\/3 (b) -2\/3 (c) -2\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*f - 39877 + 9853 = 220*f for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126756 is divided by 497.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 30?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 - 1317*j**2 - 945*j + 8613.\nAnswer: -3*(j + 3)*(j + 87)*(5*j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44034637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*p = 21, 18 = -3*n + 2*n + 4*p. Suppose n*g = 3*g. Suppose -14 + g = -t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 10. Let j(d) = 3*d - 5. Let n(g) = 7*j(g) - 4*x(g). Let p be n(-7). Which is the closest to 2\/5? (a) p (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1811d?\nAnswer: -18121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7\/(42\/4)*276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*a - 271*a - 483 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -123.\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 84 + 39 = v, -5*v = 3*i - 48. Calculate the smallest common multiple of 10 and i.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*u + 38 = 4*x - 231*u, -x = -u + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844481632.\nAnswer: 2, 59, 433, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (1 - 2) + 5. Let f(x) = x**2 - 3*x + 3. Let p be f(4). Let g be (p\/(-21))\/(1\/(-9)). Solve -r*o - 9 = -g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30826104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:06 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*r - 13 = -4*g, 0 = 2*g + 4*r + 6. Suppose -g = -y - 1. Suppose l = y*l - 25. Solve 2*z + 2*z = 3*a - 12, 0 = -l*a - 5*z - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 456?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14247 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10*-5*5. Let a be -2 + 4 - o - -75. Suppose 2*c + a = 6*c. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 32753 - 799 = 0. Let y be (12\/9)\/(1\/3) + r. What is y rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(3) + -5 + -1*sqrt(648))*3)**2.\nAnswer: 1440*sqrt(2) + 4833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 6, f: 1, l: 1}. Give prob of picking 2 e, 1 d, and 1 f.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8318 + -142. What are the prime factors of z?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (-17 - -27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 43 = 11*r. Let v = -25 + r. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8676 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/28*2 + (-6)\/(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 3*l - 13. Let w be m(6). Suppose 0*i = -h - 2*i + 28, -2*h = w*i - 61. What is the greatest common factor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c + 1. Suppose 0 = r + r - 2. Let f(m) be the second derivative of m**2\/2 - 3*m + 3. What is r*f(n) - g(n)?\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 47, 92, 157, 248?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 82 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 690*f**2 - 15744*f + 7907424.\nAnswer: 3*(f - 164)**2*(f + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*7076\/1220.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17639, -19, 45 in decreasing order.\nAnswer: 45, -19, -17639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4993.5 - 4993.4874826. What is u rounded to four decimal places?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 take away -3?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 2 - 2)*(10 - 3 - 2) + 6 - 2*f + 5*f - 7 + (2 + 1 - 5)*(-1 + f + 1) + (-2 - 1 + 1)*(f - 3*f + 3*f) to the form j*f + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406767954 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1438 + 586. Let f = -854 - t. Let z(m) = 2*m**2 - 2*m + 1. Let n(j) = -j**3 - j**2 + j. Give f*n(l) - z(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29946472 - 3.\nAnswer: -29946475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -228, -219, -206, -189, -168?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -15 + (-4592)\/(-56)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(35) - sqrt(35))\/sqrt(7) + sqrt(60)\/(sqrt(12) - sqrt(972)).\nAnswer: 23*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 23*y**2 + 11 + 5 to the form u*y**2 + f*y + q and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 161\/5 - 0 - -3. Let a = 35 - n. What is the second biggest value in a, 0.4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 14, e: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/19 + (-57)\/(1678650\/434)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f + 1. Let h be p(10). Let u = h - -64. Does 9 divide 27\/(3 - u\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2, -41, 8, 6 in increasing order.\nAnswer: -41, 1, 2, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 - 7 = 0. Find the second derivative of -18*g**2 + 12*g**2 + 5*g**2 + 4*g**2 - 5*g**3 - l + 7*g wrt g.\nAnswer: -30*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3944375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 2*k - 28, -k - 4*t = 16. Let h be k\/4 - 8\/9. Is -1 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 121714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -30, 5, 0, 2 in decreasing order.\nAnswer: 5, 2, 0, -30, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 + (-119)\/(-11). Suppose -5*y + x + j = 0, 0*y - 26 = -2*y - 5*x. Suppose 0 = y*h - 3. Sort h, 3, -4.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2. Let z(u) = -6083*u**2. Determine z(b(f)).\nAnswer: -54747*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n*n\/(n\/(n**(2\/21)*n))*n))*n**0 assuming n is positive.\nAnswer: n**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 9 = 37. Let d be 4\/14 - 78\/(-21). Let a(q) = -q + 4. Let x be a(d). Solve x = -2*t - 0*t + z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q. Let g(l) = -20*l**2 - 3. Give g(c(z)).\nAnswer: -180*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -405 - -1011?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -325086 and 38255106.\nAnswer: 37930020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, -3, -0.15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2108 - 2109. Put -2, 19, 9, s, 5 in descending order.\nAnswer: 19, 9, 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 5*m**2 - 3*m - 6. Let q(c) = c**3 - 5*c**2 - 3*c - 5. Let r(g) = -3*p(g) + 4*q(g). Determine r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9767.9 - -3\nAnswer: -9764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 16*g**2 - 196*g + 1504. Calculate t(8).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4 + 1\/2. Suppose 9*d = p + 4*d - 9, 0 = 3*d + 3. Suppose -3*f + 25 = 2*f - 3*m, 5*f - p*m - 25 = 0. Put -2, f, y in descending order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:56 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 3. Let v be b(3). Solve j + 4*q + v = 2*j, -5*q = 4*j - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.1. Let g(h) = -25*h + 23. Let y be g(1). What is the nearest to r in y, 5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3 + 14*j + 3*j**2 - 6 - 12*j. Suppose 3*k = 13 - 10. Suppose k + 1 = -o. Let n(v) = v**2 + v - 4. Calculate o*q(w) + 5*n(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -987 + 983 - 13*t**3 - 7*t**4 - 2*t**2 + 3*t**3 to the form s*t + m*t**2 + q + g*t**3 + k*t**4 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 23*v + v. Let a(c) = -3*c**2. Give a(r(f)).\nAnswer: -1875*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 34*g - 24*g - 8*z - 24, 40 = 5*g + 5*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(8)*2 + sqrt(8)))\/sqrt(9).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(50) - sqrt(2)) + 0)**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 33*t - 8 = 0. Suppose 6*x = -t + 56. Let i(s) = s**3 + 7*s**2 - 2*s - 4. Let u be i(-5). What is the highest common divisor of u and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-20 - (-2 - -5)) + (-161 - -168)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 5*l + 0*l - 31 = -65, -5*i + 8 = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 824 and 384.\nAnswer: 39552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.14+12597\nAnswer: 12601.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-36)*(-8)\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2100 and 11490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177.89 + 174. Let b = 3.11 - c. What is the second smallest value in -0.4, -2, b, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 164 (b) 9 (c) -28 (d) -2\/5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + -444. Let r = a - -193. Put -131, -2, r in ascending order.\nAnswer: -131, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2123215 - -10.\nAnswer: -2123205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:23 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -423.24558 - -279.25871.\nAnswer: -143.98687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - -34 - -48 - 40.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -60?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2862)\/(-72))\/(-53)*1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-2 + (-21)\/(-6)). Let c be 9\/(-2)*20\/p. Suppose -5*a - 3*j + 28 = 0, 4*a - c = -5*j - 5. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 37*g + 51. Let x be m(-17). Solve -n + 0*n - 5*f - 14 = x, 3*n - 3*f = 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.77.\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 1, j: 7, q: 2}. Give prob of sequence qv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-2 - -14)\/3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:48 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 669*k + 6021. Determine p(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/60 - o**3\/2 - o**2 + o. Let m(w) be the first derivative of q(w). Differentiate m(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(1311*55\/18810).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r + 5*m - 18 = -41*r, 2*r + 23*r - m - 30 = 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 7*w + 6158*w**3.\nAnswer: 6158*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:49 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1733608 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/2)*r**(1\/2))\/(r**(-3\/7)\/(r\/(r*(r\/(r*r**(-1\/3)))\/r*r))) assuming r is positive.\nAnswer: r**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -107972700 to the nearest one hundred thousand.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqq. Give prob of sequence aq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/120 + 7*s**5\/60 + 5*s**4\/24 - s**3\/2 - 2*s**2. Let g be q(-6). What is the units digit of ((-1)\/(-4))\/(g\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:54 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287981316.\nAnswer: 2, 571995329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 27. Let v be b(17). Is (1146 - 1)\/((v\/(-5))\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/4 - 17315*z\/4 + 17317\/2 = 0. What is z?\nAnswer: -17317, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193441367 to the nearest integer?\nAnswer: 13908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 363 = -3*j - 3*c, -364 = -5*j + 4*c. Suppose -57*x - 2805 = -j*x. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4) - (-318)\/(-12). Let l = f - -45. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3671050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from {o: 1, x: 2, t: 3, e: 1, p: 5, r: 1}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 199 = -321. Let o be (4\/10)\/((-2)\/k). Let x be 4\/6 - o\/6. Solve 0 = 5*y - 20, 2*y = x*g - 0*g + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 4703 + 4711 + 0*a**2.\nAnswer: -a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*z**4 - 15*z**5 - 36*z**3 + 24*z**2 + 92*z - 92*z.\nAnswer: -3*z**2*(z + 2)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1794 + -1822 + (1 - (-8 - 0))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 310377, 620755, 931133, 1241511?\n\"Answer: 310378*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 12, p: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.41 and -47.\nAnswer: 442.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/14)*q**(-10)*((q**14*q*q)\/q)\/q**11 assuming q is positive.\nAnswer: q**(-87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*d**3 + 10*d + 18*d - 28*d + 1215*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -117, -161, -191, -201, -185?\n\"Answer: f**3 - 2*f**2 - 53*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-99))\/(6\/(-27))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277972 less than 278057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2727096 + 2?\nAnswer: -2727094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 1. Let j(a) = -a**2 - 6*a + 6. Let c(o) = 6*h(o) - j(o). Let n(d) = -52*d**2. Give c(n(p)).\nAnswer: 2704*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 1389?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 109 - 145*y + y**2 - 78*y + 113 = 0.\nAnswer: 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*g**3 + 28611670*g**2 - 86574675*g + 2229390 = 0. Calculate g.\nAnswer: 2\/77, 3, 74313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 0)\/(((-27)\/(-3))\/3). Suppose k*w = 3*w - 2, -4*s - 4*w + 72 = 0. Solve -2*b - 3*i - 10 = 0, -4*i - s = -0*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k + 119. What is a(9)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43139476213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -24. Suppose -2*i + 4 = 2*g - m*i, 3*i = g - 2. Suppose 4*y - g*y - z - 7 = 0, 3*z + 6 = y. Solve -j = 2*k + 2, 6 = 5*k - 3*k - y*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37320691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14028)\/(-560) - ((-12 - 8) + 45).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c**2 - 11*c - 105. Give u(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132011023112023 - 11?\nAnswer: -132011023112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kae when three letters picked without replacement from dedaaaak?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-58)\/(-2))\/(4 - 5). Let i = q - -29. Suppose -2*z - 2*v - 32 = -112, -5*z - 4*v + 199 = i. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25 - -27)*((-6)\/20)\/(-3). Let c(s) = -s. Let l be c(1). Sort -1\/5, o, l in ascending order.\nAnswer: l, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1)*(32*i - 713 + 361 + 359).\nAnswer: -96*i - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(7) - (sqrt(243) + (sqrt(243) - -1*sqrt(243)))**2 - (5*sqrt(192)*2 + sqrt(192) + sqrt(192))**2.\nAnswer: -29835 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - -27.7. Let k = z + -14. Let o = 16 - k. Sort o, 1, 2\/13 in ascending order.\nAnswer: 2\/13, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 0 + (1 + 7 + 6 - 3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let g = 3 - 1. Let h(z) = -5*z - 2*z**g + 5*z + 0*z**2. Give h(s(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/13, 0.105, -2, 1\/2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.1 + -28.1. Which is the nearest to 2\/3? (a) 2\/27 (b) 1\/8 (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5718 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 3. Let b be w(6). Let v = b + 4. Which is smaller: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453499?\nAnswer: 31, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 3 - 11\/2*a**2 + 0*a. What is the tens digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -70. Let w be (1\/m + 2\/(-3))*-2. Find the first derivative of 0*o**3 + 445*o**2 + 4*o**3 - 22 - 445*o**w wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34422 - -9169.\nAnswer: -25253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -31. Suppose -5*g - c = -2*g. Let y = g + 31. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23422, 0, -2.\nAnswer: -23422, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**3 + 20*w**2 - 4*w. Let i(c) = -c**3 + c. Determine -4*i(x) - s(x).\nAnswer: -7*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3423454*d**2*h**3 - 7*d*h**3 - 8*d*h**2 - d*h + 8*d - 13 wrt d?\nAnswer: 6846908*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13 - 8 - k + 10. What is the tens digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 4*w + 82, 5*x + 4*w = 126. Suppose -2031 - 1401 = -12*k. Calculate the greatest common factor of k and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 16*i**2 - 3*i - 17. Let k(s) = -s**2 + 7*s - 26. Let x be k(5). Let h be q(x). Calculate the greatest common factor of h and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 1*sqrt(70))\/sqrt(5) - sqrt(14) - sqrt(112)\/(sqrt(8) - 3*sqrt(8)))\/((2*sqrt(56)*-1 - sqrt(56))\/(sqrt(8) - sqrt(88)\/sqrt(99) - sqrt(8))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 1 - (1 + -71 - -57).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2525*l + 12629. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12410658 or -12410662?\nAnswer: -12410662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**9\/105840 + f**8\/35280 - f**5\/12 - 3*f**2. Let t(g) be the third derivative of j(g). What is r in t(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6535.311 months?\nAnswer: 5.4460925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521 by 4.\nAnswer: -521\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 280*h**2 + 26 + 60 + 281*h**2 + 27 + 29.\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(120)\/(sqrt(5)*-1) + (sqrt(72)\/sqrt(3)*4 - sqrt(24)))\/(6*sqrt(16)\/sqrt(2) + sqrt(8) + sqrt(56)\/sqrt(28) + sqrt(8)).\nAnswer: -24*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c - 244. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 4*q - 5*q - 5*q + 7*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 253*t - 248*t. Let s = t + -24. Solve -s = 4*n + 4*g, 2*n + 2 = -3*g - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from mpmpcpccp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/7 (b) 5 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18505, 18199, 17881, 17545, 17185, 16795, 16369?\n\"Answer: -s**3 - 299*s + 18805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1271, -4 in increasing order.\nAnswer: -4, 19, 1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*l + a - 18, 3*a = -2*a + 25. Let t = 55 - -19. Let n = 103 - t. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14*h = -19*h + 248, 2*h - 10 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -186*d**2. Let b(u) = 466 - 935 + 469 + 3*u. What is s(b(c))?\nAnswer: -1674*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -881.908 * 3.\nAnswer: -2645.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, v: 4, x: 1, o: 1}. What is prob of picking 1 o and 2 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27428+-691.058\nAnswer: 26736.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/20 + z**3 + 3*z**2\/2 - 5*z. Let x(l) be the first derivative of k(l). Find the first derivative of x(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 9*g**2 + 13*g + 9. Let z(v) = -v**3. Let p(x) = -a(x) - 4*z(x). Let d be p(7). Let m = -9 + 5. Is d bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(125 - 16*g**3 - 125)*(-2*g - g + 5*g)*(-1 + 6 + 0).\nAnswer: -320*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -208, -313, -408?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1048 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (3*sqrt(432) + sqrt(432))*-5)**2 + ((2*sqrt(432) - sqrt(432))**2 - sqrt(432) - (0 + sqrt(6)\/sqrt(2))).\nAnswer: -13*sqrt(3) + 190944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 75*b. What is the tens digit of g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24448004 and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, r: 9, f: 2}. What is prob of picking 1 f and 1 r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-22) - 9\/8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*s = 0, -14291*f + 3*s + 4 = -14293*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*l + 4*l + 163, 0 = l - 3. Suppose -5*d + 12 = -2*v, -4*d - 2*v = -9 + 3. Calculate the remainder when d is divided by 9\/12*3*j\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0419 rounded to one dp?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 5, 21, 49, 89, 141?\n\"Answer: 6*y**2 - 14*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 + 2*x**2)*(-6*x + 23*x + 6*x) + 7*x**3 - x**3 + 0*x**3.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 21*y - 28. Let v = -5 - y. Suppose -v*s - 28 = -9*s. Solve 7*f - 2*m + 22 = 2*f, s*f = 2*m - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 293, 723, 1341?\n\"Answer: 94*p**2 - 40*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 430704*c + 11594120976.\nAnswer: 4*(c - 53838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:56 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k**2 - 12*k**2 + 10*k**2)*(14 - 14 + 14*k).\nAnswer: -196*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -56. Let i(s) = -8*s + 1. Suppose -1 = -p - 0. Let u(o) = -4*o + 0*o + 5*o. Give j*u(g) + p*i(g).\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 24 = 10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from lllllllallla?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 + 44778.872\nAnswer: 44778.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -15?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975730 rounded to the nearest ten thousand?\nAnswer: 3980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i + 9. Let z = -1 + 4. Let t(n) = z + 5*n + 2*n - 4*n. Determine t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - c = 383 - 389, -3*i - 2*c = -11. Solve -25 = 8*w - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(10\/100).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 190 = -6*m. Suppose -2*j = -m - 6. Calculate the remainder when j is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1293, -5033, -11263, -19983, -31193, -44893, -61083?\n\"Answer: -1245*v**2 - 5*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 15 (c) -6\/631 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -47*p**2 - 17*p - 12. Let g(r) = -12*r**2 - 4*r - 3. Let x(b) = -9*g(b) + 2*j(b). What is the remainder when x(-2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2 + 4 = 3*j, -4*j + a = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 0.16 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41018977?\nAnswer: 17, 37, 65213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2299) + sqrt(2299)*-1 + sqrt(2299)))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -d - d - 40, -20 = a - d. Let y(z) = -3*z**2 + 20*z - 17. Let s be y(6). Let f be 8\/a*2*s. Sort -2, f, 3 in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(72) + -1)*-4*-5.\nAnswer: -480*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*w - 3*w - 23, 5*l - 2*w - 21 = 0. Suppose -15 = 5*p - l*u, -6*u = -3*p - 2*u - 10. What is the nearest to -1 in -4, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 0.3, -4\/11, 29?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 31 = 5*a - 51*k, -3*a + 3 = 4*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -4*a. Solve a = -w + n - 1, 0*w - 3*n = w - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*o = 14, 10*f - 14*f + 44 = -4*o. What is the greatest common divisor of f and 490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -58. What is the remainder when 13 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3) + ((-260)\/(-15))\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*b**3 + 43*b**3 + 595*b**3 + (-2*b**3 + 0*b**3 + b**3)*(2 + 0 - 4) + 2 - 4*b**3 + 3*b**3 + 3*b**3.\nAnswer: 806*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34371 - -52776. List the prime factors of f.\nAnswer: 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 9*n + 18. Let y be m(2). What is the closest to 2\/7 in 1\/5, -0.4, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n - 62*n - 25254 = 0. Calculate the greatest common factor of n and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60405 and 270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {n: 1, g: 2, e: 1, j: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57575 and -63?\nAnswer: 57638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85)\/sqrt(5)*6 + 0))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -7) + (-105 - -99).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + g - 2 - 3, 4*g = -4*i. Let d be (-35)\/45 + i + 2\/(-9). Solve 1 - d = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492855 and 4532.\nAnswer: 1971420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23054778492.46 take away -0.05?\nAnswer: -23054778492.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62796989 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -115, -181, -253, -331?\n\"Answer: -3*j**2 - 51*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27*(-8)\/(-144)*6. Suppose 5*y - d = -4*b, 8 = -3*b + 6*b + 5*y. Which is greater: 5\/77 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/(62\/5 - (-26 + 34))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104766844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 3*q - 26, -x + 8 = -4*q + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 17*q - 16 = 0. Suppose 5*p = -10*o + 14*o + 8, 0 = 4*o - 4*p + q. Solve 0 = -w + o + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -137*g**2 - 5*g - 12. Suppose 18*n - 16*n = -6. Let k be o(n). What is k rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {n: 7, s: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 57*s - 2 - 85*s)*(3*s - 3*s + s) - s**2 + s - s + (-s - 2*s + s)*(-2*s + 3*s + s) + s**2 + 3*s - 3*s in the form h*s + c + q*s**2 and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 78 in decreasing order.\nAnswer: 78, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*w**3 - 49191*c**3 + 32644*c**2*w**3 - 20*c**2 wrt c.\nAnswer: 12*w**3 - 295146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 699617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:34 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13357, 13355, 13345, 13321, 13277, 13207?\nAnswer: 13105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 5) to base 6.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1 + 15\/(-10)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 - 1\/2*d**2 + 0*d**3 + 12*d - 1\/12*d**4. Let j(k) = 3*k**2 - 2*k. Let a(z) = -z - 1. Let q be a(0). Give q*j(b) - 2*y(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76779 is divided by 1089.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 - (6 + 3)) + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b + b**3 + 4 + 0*b - 8 + 3*b**2. Suppose 4*v - 5*y + 3*y = 10, -y = 2*v - 3. Let l be 1*-5 + (4 - v). Calculate o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120*(2\/35)\/(((-16)\/(-896))\/(1\/(-4))).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {p: 1, o: 1, r: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/6 - 5*o**2\/2 + o. Let m(r) be the first derivative of w(r). Calculate m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1533, -1547, -1579, -1635, -1721, -1843, -2007?\nAnswer: -2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*-7394\nAnswer: 88728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37167318 is divided by 230.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5, 2*z + 25 = 2*k - 3*z. Let u(m) = m**3 + m**2 + 5. Let r be u(k). Solve r*h = 2*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q + 0*q - 4*q + 2*q. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/420 + c**4\/28 - 5*c**3\/42 + 2*c**2 - 18*c. Find b such that v(b) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 16. Which is the nearest to 2\/5? (a) 2\/7 (b) x (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x - 4*r = -36, x = -4*r + 20. Suppose x*w = 14*w. Solve w*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278474.\nAnswer: 2, 7, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29 - 27 - 26 + 33*f**4 + 2*f**3 - 192*f**2 + 82 wrt f?\nAnswer: 792*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 800*h**2 - 2406*h**4 + 2 - 2 + 1356*h**2 + h**3 - 16536305*h + 16536303*h wrt h.\nAnswer: -57744*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57291\/44 - 1302. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -149777.80364.\nAnswer: -149777.80364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 227 + 294 - 132. Let t be w(14). Solve 4*d - t = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f)**(1\/10)*(f\/(f*f*f**(2\/19)*f))\/(f*f**(-3\/5)))**(-8\/3) assuming f is positive.\nAnswer: f**(622\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 7*n. Suppose 5*q - 59670 = -n*q + 5*r, -2*q = r - 23862. Suppose -150996 = c + 2*d, 290072 = -2*c + 2*d - q. Round c to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*j**3*s - 125*f*j**3 - 14*f*s**2 - 3*j**3*s - j*s - 55*s**2 wrt f?\nAnswer: -2*j**3*s - 125*j**3 - 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 13*p + 9. What is the remainder when q(-7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -966, -2357, -3756, -5169, -6602, -8061?\n\"Answer: -s**3 + 2*s**2 - 1390*s + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/3 - 2*r**2 + 4*r\/3 = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/33, -2\/5, -0.24, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, -4, 83 in descending order.\nAnswer: 83, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001024564 to 7 decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3683.4 - -4039. Let z = h - 231.5. What is z rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 65 = v - 59, 4*i + 126 = v. Calculate the remainder when v is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-40) - 59\/236. Let l = -4.8 - -2.8. What is the nearest to -0.1 in l, m, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62253 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9 = 4*t, 47*t = 3*g + 42*t + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 949*a + 954*a + 171 - 1901*a + 2*a**2 - a**3 to the form g*a**3 + z*a**2 + l + h*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/33 - 201*(-8)\/132. Calculate the highest common divisor of t and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 + 244 + v - 984 + 253 + 18*v + 240.\nAnswer: 19*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**2 + 1417*f**6 - 3920 + 7849 + 4*f - 3929 wrt f.\nAnswer: 170040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t + 3*g + 64, t - 5*g = 60. Suppose 9*l + t = 4*l. Let o = l + 36. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781149?\nAnswer: 3, 23, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14114706*f*y**2 - 5*f + 73450514*y**2 wrt f.\nAnswer: 14114706*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 42) + 14 + -15. Let x = u - -73. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -468*p**2. Let f(u) = -27*u**2 - 28*u**2 + 111*u**2 - 27*u**2 - 27*u**2. What is f(j(v))?\nAnswer: 438048*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -23*q + 20*q. Let -2\/5 - 2\/5*y + 2\/5*y**3 + 2\/5*y**q = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 10*b**2 + 8*b - 5. Let l be i(-9). Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59546092, 59546085, 59546078, 59546071, 59546064, 59546057?\n\"Answer: -7*y + 59546099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {j: 4, u: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105607.\nAnswer: 105607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 2241.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 266634752500 and 8.2.\nAnswer: 266634752508.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - f - 6, 4*f + 8 = 0. What is the second derivative of -61*q + 13*q**y + 28*q + 29*q wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 - 5*d - 5. Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19679.16 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 13*p**3 + 3*p**2 + 0*p**2)*(-1 + 8 + 7)*(0*p + 0*p + p).\nAnswer: -182*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let o(h) = 20*h - 56. Let v(q) = 21*q - 75. Let m(g) = 4*o(g) - 3*v(g). Give a(m(k)).\nAnswer: 17*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89796522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + 224\/36. Let j(c) = 23*c**3 - 7*c - 22*c**3 + 72 - 67 - 5*c**2. Calculate j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1318 - 1323. Sort -1, 18, q.\nAnswer: q, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k\/(k\/k**(-1)*k)))**(-22)\/((k*k**(-2\/11))\/k**(-1\/7)))\/((k*k*(((k**(-1\/4)*k*k)\/k)\/k)\/k)**1)**22 assuming k is positive.\nAnswer: k**(-16241\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 3*a - 17*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 30\/5 - -5. Suppose -z*g = 2*g - 60. What is the third smallest value in g, -1\/6, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16173*c**3 - 16149*c**3 - 16144*c**3 + 48366*c**3.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32442947 = 11*d - 32443684 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(-3\/11)\/c)*c)\/c)\/(c*c**(-1\/36)\/c)*c**19\/(c**(-4\/7)*c))**(3\/22) assuming c is positive.\nAnswer: c**(60629\/20328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)*y**9*y*y)\/((y**(1\/8)\/y*y)\/y**(-1\/8)))**(-28) assuming y is positive.\nAnswer: y**(-3255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-26*(-93)\/4836)\/(1\/((-8)\/(-146)))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-1\/28)\/((c**4*c)\/c*c*c*c**4))**(-4\/27) assuming c is positive.\nAnswer: c**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 0*w**2 - w + 0*w**2 - w**3. Suppose 0 = y - 0 + 1. Let b(r) = -4*r**3 - 3*r**2 - 5*r. What is y*b(d) + 5*s(d)?\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 29898*n - 29894*n = -16, 5*l + 4*n + 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 133, 5 in decreasing order.\nAnswer: 133, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -76*p + 73. Give v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 9*h**2 - 3*h - 2. Let t be g(4). Solve t*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y. Suppose -3*g + 0*j + 16 = -5*j, y = 3*j + 6. Suppose -3*n + 4 = 4*s, -g*s + n = -2*n - 20. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 8, 4*c - 2*k = -c - 3. Is (-2 + 1)\/(c\/(-83)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181062 and 848309?\nAnswer: 45808686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*s - 159, -2*s + s - 327 = -2*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -221*k + 75*k - 157 + 102*k. What is the tens digit of c(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+-120356.6\nAnswer: -120356.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from ceknkccnikkkkkkj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -1.1. Let s = -37 - -39. Let r = -0.4 - -0.1. What is the second smallest value in s, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2) + (-292)\/(-1022). Which is the closest to 1? (a) 0.4 (b) 159 (c) r (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(-10*j - 1 + 20*j + 0*j)*(15*j**2 - j**2 + 9*j**2)*(2*j + 4 - 4 + (-j + j + j)*(2 - 6 + 3) + 0 + 0 - 2*j).\nAnswer: -230*j**5 + 23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -131+1.04919\nAnswer: -129.95081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 638\/(-8)*4\/(-1). Suppose -4*l = 4*w - 96, 0 = 2*w - 0*l - 3*l - 73. Calculate the greatest common factor of w and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.26*-91\nAnswer: 569.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, -2, -9 in increasing order.\nAnswer: -9, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 16*x = -49. Calculate the greatest common divisor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2143100 and 4350?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-164) + (-791)\/(-1435). Let i = -8 + 14. Which is the nearest to 3? (a) i (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*t**3*w + 548*t**3 - t**2*w - t**2 - 79255*t*w wrt t?\nAnswer: -954*w + 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1205138*y**3 + 472*y**2 + 8002.\nAnswer: 7230828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) 0.4 (d) -5.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -25\/3*l**4 + 1\/6*l**5 + 26\/3 - 1\/3*l**2 + 103\/6*l - 52\/3*l**3 = 0.\nAnswer: -1, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -130.2856 and -11?\nAnswer: 119.2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.079 and 0.19.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 112 = -2*m - m, -56 = -2*u + 4*m. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 2.1. Let m = z - 1.99. Let d = m - -0.59. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*q - 2*g, 5*g - 99 = q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**8\/26880 + d**7\/5040 - d**6\/960 + d**4\/12 - 7*d**2. Let t(z) be the second derivative of m(z). Find f such that t(f) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 8. Let p be b(8). Let i = 318 - 288. Suppose -23*f + 17*f + i = 0. Put p, f, 0.1 in descending order.\nAnswer: f, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2636\/78421*14\/(-8)*(-204)\/42\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)\/m)**29*m\/m**(-7)*m**(-11) assuming m is positive.\nAnswer: m**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9117, -36521, -82221, -146217, -228509, -329097?\n\"Answer: -9148*v**2 + 40*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 < 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 9. Let o = 39 - z. Calculate the highest common divisor of o and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8656931971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -2\/3, 2\/11, -1, -2\/9, 0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3400 divided by 680\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 1. Let f = -31 + 44. What is the tens digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(1433\/179125)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23362.94 years?\nAnswer: 2336.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 521577 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2598498, -2598500, -2598502, -2598504?\nAnswer: -2598506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16292850 and 58912?\nAnswer: 260685600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14 - 107) + 10 - 19) + 13.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + 3*b + 4. Let j(i) = -19*i**2 - 7*i - 9. Let g be (10\/15)\/(4\/54). Let q(c) = g*l(c) + 4*j(c). Find the second derivative of q(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/262, -0.075, 3.\nAnswer: -0.075, 1\/262, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 5*x - 3*x**2. Let t(c) = 3*c. Give d(t(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -74 (b) 0.03 (c) 0.23 (d) -0.3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 41435 and 2.023.\nAnswer: 83823.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196627\/33060 + 4\/1653. Suppose 2*s + 29592 = 4*x, -5*x - 5*s + 19062 = -17898. Let y = 118295\/16 - x. Calculate the common denominator of q and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/3 + -218\/21. Let r = -0.1 + 0.6. Which is the third biggest value? (a) 5 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 148*i + 152. Let x be z(-1). Solve 0 - 6 = 4*p - 5*n, 0 = -5*p - x*n - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g + 2. Suppose 0 = -3*q - 9. Let h be t(q). Let a = -12 - h. Solve 0 = 5*f + a*n + 1, 3*n + 4 = -4*f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 6*p**3 + p**3)*(17 - 7 - 9 + 7*p) - p**4 + 2*p**4 + p**4.\nAnswer: 65*p**4 + 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303256 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41220 (base 5) to base 14\nAnswer: -d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + w - 209, z - 3*w - 88 = -7*w. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 107*u**6\/6 - 237*u**2\/2 - 278. What is the second derivative of f(q) wrt q?\nAnswer: 2140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/11 - 6\/33. Let r(w) be the first derivative of 0*w**2 - 2 + 1\/3*w**3 + 0*w. Determine r(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -57. Suppose m*s = 2*s + 15. Solve 5*c = -f - 5, -5*f + s = -5*c - 3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -14*c - 32. What is the remainder when 18 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 521 - -402039?\nAnswer: 402560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23319062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 118*t + 9406. Give b(-80).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*k - 14, -3*h + 3*k - 2*k = 0. Calculate the greatest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 4. Let o(z) = -1848*z + 3750*z - 1881*z. What is t(o(c))?\nAnswer: -1323*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q + 1. Let v(m) = -m**3 + 3*m**2 + 12*m + 38. Let k be v(6). Let l(u) = -3*u. What is k*z(r) + 7*l(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181711 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4943?\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y + 5610 = 62*y - 134*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 112517439588 + -0.4\nAnswer: 112517439587.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Work out -286 * -0.4819.\nAnswer: 137.8234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-3 + (3 - -2)). Let x(u) = -4*u + 0*u + 6*u + 2*u**2 - 2 + u**3 - 4*u. Let m(s) = 3*s**2 - 3*s - 3. Give t*m(b) - 3*x(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/24 - 5*i**2\/2 + 8*i. Let r(o) be the first derivative of w(o). Let c(z) = -5*z. Calculate r(c(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5792?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*(-4950)\/(-198).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0 + 2*j**2 + 0*j**3 - 1\/24*j**4 + 0*j. Let r(p) = 3*p**2. Determine r(g(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1669459*j + 1689689?\nAnswer: 1669459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10.1, -1.05, 1.2?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 4*g + g)*(0*g + 245*g + 293*g)*(g**2 + 0*g**2 - 3*g**2) in the form r*g**4 + f*g + w + d*g**2 + a*g**3 and give r.\nAnswer: 3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3\/8, -2\/7, 0.1, -4 in increasing order.\nAnswer: -4, -3\/8, -2\/7, 0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910 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: Calculate prob of picking 3 i and 1 x when four letters picked without replacement from {p: 2, t: 1, i: 11, x: 4, d: 1}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3749078ml?\nAnswer: 0.0003749078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 4*b + 3. Let t be v(-2). Suppose -4*x - t*y = -2*y - 16, -4 = y. What is the fourth smallest value in 3, -4, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 38*d + 3*d.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -50*v + 80 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -10*j - 26. Let f(g) = 2*g + 5. Let v(s) = 2*b(s) + 11*f(s). Suppose 5*r = -17*a + 18*a + 34, -r + 5*a = -50. What is v(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0 + 0 - 0. Suppose 0 = h - l*h. Suppose -g + h*g = -8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*v - 81 + 2058 = -604 - 1418 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {k: 1, v: 4, j: 1, b: 1, y: 4, s: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/54, 0.5, 1, 0, 4, 0.38 in ascending order.\nAnswer: -5, 0, 1\/54, 0.38, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + 3)\/(-1))\/2. Let d(v) = 5*v + 5. Let m be d(h). Let n = 5.13 - 0.13. Which is the third biggest value? (a) -1 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5 - 28*h**4 - 78*h**3 + 1232*h**2 + 3872*h = 0?\nAnswer: -4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*l**5 + 216*l**2 wrt l?\nAnswer: -6780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1002331 (base 5) to base 6\nAnswer: -201530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + ((-15)\/10 - -2). Suppose v = -5*r + 254 - 9. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280164 is divided by 1090.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -49. Suppose 2*v + l*v = 72. What is the least common multiple of v and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -732 + 504. Let j = -225 - i. What is the closest to 2 in -3, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*6\/(-30)*-4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Let i be (-4 - -8) + (-1 - t). Suppose b = -2*b - 4*m + 93, m + 105 = 4*b. Calculate the greatest common divisor of b and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 7*r**3 - 14226. Let i(d) = -14*d**2 + 5*d. Let f(m) = -21*m**2 + 7*m. Let t(k) = -5*f(k) + 7*i(k). What is z(t(n))?\nAnswer: 1029*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101432 (base 6) to base 12.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 6662.\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/976 and 15\/5368.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 8 = 0. Let u = c + -3. What is the second derivative of 0*b - u*b + 2*b**2 + 5*b + b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 3, -5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462 + -211. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.4 - -21. Let d = a - -0.4. Is 0.1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-22))\/((-805)\/(-4186))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -42\/47, 2, 0.1 in ascending order.\nAnswer: -42\/47, -2\/3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14977 or -20457?\nAnswer: -20457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:18 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(((o\/o**(-1\/2))\/o)\/o)\/o)\/o)\/o)\/o**(-2\/23))\/(o**(-1\/2))**(3\/28)*o**(-2\/3)*o*o**(3\/5)\/o*(o**(-1\/2)\/o)**(1\/5) assuming o is positive.\nAnswer: o**(-52669\/19320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 48 = 4*y, -2*y - 74 = 5*l + 6. Let n = 13 + l. Let c = 1 - n. Solve -u = -c*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11747*i**2 - 5*i - 2. What are the prime factors of l(-2)?\nAnswer: 2, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t\/(t*t**(-5)*t))))\/(t\/(t**(-2\/21)\/t)))\/((t\/t**(-3))\/(t*(t\/((t*t**(-3\/4))\/t)*t)\/t)))**(-18))**(-1\/16) assuming t is positive.\nAnswer: t**(165\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.164 times 0.3\nAnswer: -0.9492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 123406113602*f**2\/7 + 19872080*f + 5600 = 0.\nAnswer: -140\/248401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*s + 46 = -115*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k**3 + 33. Let g(o) = -5*o**3 + 11. Let j(d) = -4*b(d) + 11*g(d). Let v(p) be the first derivative of j(p). Let n(t) = -12*t**2. Give n(v(i)).\nAnswer: -108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(468\/(-192))*45\/70?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(1\/3*-1). Let q(c) = -g + 21 - c**2. Let d(h) = 3*h. Determine d(q(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z + 0*z)*((2*z**2 + 5*z**2 - 6*z**2)*(1 - z**2 - 1) - 2*z**4 + 6*z**4 - 2*z**4 + (3*z**4 - 2*z**4 + z**4)*(-1 + 4 - 2)).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4692 is divided by 90.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5080583 to the power of 1\/2, to the nearest integer?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7868789 and 0.1.\nAnswer: 786878.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*f - 92. Suppose 0 = -6*z + 289 - f. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -a08?\nAnswer: -9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 1. Let t be l(2). Suppose 0*h + 284 = 4*h - 4*u, -t*h + 325 = 5*u. Suppose -5*f = -f - h. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4, d + 4*d - 233 = -h. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*-3 + 9. Suppose -n*f = -4*f + 108. What is the units digit of f\/(-16) - 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8463532ml?\nAnswer: 0.0008463532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*f = 270*f + 210 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -24. Suppose -10 = 10*b - w*b. What is the third derivative of -2*l**4 + b*l**2 + 0*l**4 + 8*l**2 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 120. Let p be (-3*(-2)\/h)\/((-62)\/(-93)). Which is the third smallest value? (a) 3\/5 (b) p (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1088 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/570 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -0.1 (c) -4 (d) -1085 (e) 1 (f) 0.4 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 196\nAnswer: -5\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(-11*v - 4*v + 2*v) + 0*v**2 + 0*v**2 - 2*v**2 + (-v + 3 - 3)*(-1 - v + 1).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2736 + -818066\/299. Is t less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63169 + -38?\nAnswer: -63207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - -5. Suppose 19*x - 18*x = 114. What is the remainder when x is divided by z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**6 + 0*c**2 - 2*c**2 + 3*c**2 wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.33976 + 0.34. What is r rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 3, e: 2, k: 13}. Give prob of sequence khk.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20)*-2*-1*3\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 + -2.1. Sort s, -5, 1\/7, 2 in decreasing order.\nAnswer: 2, s, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 1501*o**7\/7 + 343*o**3\/3 - 1684. What is the third derivative of s(n) wrt n?\nAnswer: 180120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22568294 a multiple of 1087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 6:02 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 66436*a**4\/3 + 177128*a**3\/3 - 29520*a**2 = 0.\nAnswer: 0, 2\/3, 2, 11070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 + r**2\/2 + 1. Let c(v) = 3*v**2 + 6*v. Let p be ((-30)\/(-24))\/5 - 50\/8. Calculate p*i(d) + c(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 5 = -p, 156 = 4*g + 4*p. Suppose m = -m + g. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -1. Let y be (-25)\/1290*(-8)\/(-30). Let f = 137\/1548 + y. Which is the smallest value? (a) f (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + f)*(6*f**2 + 3*f**2 + 4*f**2)*(-8 - 8 + 4)*(3*f**2 - 4*f**2 + 3*f**2)*(-4 + 6 - 4).\nAnswer: -624*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.518ug in kilograms?\nAnswer: 0.000000001518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + 0 + 22 + -151 + (-10 - -22)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) 0.07 (c) 5588 (d) -13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -4\/7, 3\/14, 1792?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11634 (base 8) in base 9?\nAnswer: -6787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 + 19*a**2 + 16*a - 3. Let r be d(-2). Is r at most -1\/224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24103\/34476 - 160\/507. Let o = t + -4\/17. Which is the third biggest value? (a) -0.5 (b) 7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/60 - r**4\/2 - r**3\/2 + 3*r**2. What is the remainder when k(-8) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6126 (base 8) in base 5?\nAnswer: 100113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(2\/(-4))\/(-1). Let f(d) be the second derivative of d**3\/6 - d**2\/2 - d. Let b be f(h). Let a(l) = 2*l - 2. What is a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(448) + -1).\nAnswer: -48*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*182\/(-21). Let t = z - 10. What is the first derivative of -t + 2 - 6 + 8*x**4 wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qbvcqaqqa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.162338ml in litres?\nAnswer: 0.009162338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -171 (c) 0.2 (d) -2.9 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5822, -5820, -5818, -5816, -5814?\n\"Answer: 2*p - 5824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6918670?\nAnswer: 2, 5, 11, 62897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = f, -5*f + n = 6*n - 15. Suppose f*l - 5*l = -99. Solve -g = -3*v + 17, -5*v = -5*g + g - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = m + 28, -2*m - 35 = -3*i - 14. Sort m, 3, -19, -2, -4.\nAnswer: -19, -4, m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**9\/1512 - s**8\/840 - s**7\/210 - 2*s**3 - 2. Let z(w) be the third derivative of i(w). What is y in z(y) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*z - 169*z - 112 = 0. Solve -4*k - 12*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9465480 divided by 2366370?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/5 - 1224*t**3\/5 - 246632*t**2\/5 - 3206592*t + 13631360 = 0. Calculate t.\nAnswer: -236, -190, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4110720 and 6720.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/72*-2*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*u - 42 = 452*u. Suppose -2*o + 6 = -11*q + u*q, -2*o = q - 6. Suppose -24\/11*y**2 + 72\/11*y + 2\/11*y**o + 0 = 0. What is y?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-10))\/(-4))\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 72 = 0. Let n be 80\/o - 2\/6. What is the greatest common factor of 12 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (3 + 1 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 33*m - 98. Let d be c(30). What are the prime factors of (-160)\/30*102\/d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/49)\/1 - 1\/(-3)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + (0 + 60 + -5 - (55 + -53))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iilolnlnnni. What is prob of sequence ol?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ced54 (base 16) in base 8?\nAnswer: 7166524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or -38?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100101110000 (base 2) in base 5?\nAnswer: -314413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 6*b**2 - 7*b + 4. Let x be w(3). Let r(h) = 14*h**2 - 18 - h - 9*h + 1. Is r(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by -6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5385, -2, 0, 5 in increasing order.\nAnswer: -5385, -4, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*k**2*u*v**3 - 3*k**2*u*v + 11771*k*u*v**2 + 28*u*v**3 + 6*u*v**2 + 24*v**3 wrt v.\nAnswer: 234*k**2*u + 168*u + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 17*t**2 + t + 15. Let w be a(-17). Let n = w - -5. Solve -1 = -4*f + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 2.92. Let d = -5 - -3. Let h = 13 - 16. Put d, h, a in ascending order.\nAnswer: h, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(204)*5 - 4*sqrt(204)*-4)\/(-2*-3*(sqrt(1200) - (sqrt(1200) - sqrt(1200)*-2))).\nAnswer: -sqrt(17)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 237, -5, 2, 1, -2.\nAnswer: -5, -2, 1, 2, 103, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.4*-71.6.\nAnswer: -816.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = 3*i + 41, i - 5*j = 25. Let b(u) be the second derivative of i + 1\/12*u**4 - 1\/2*u**2 + 0*u**3 - u. Find the first derivative of b(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.27985, -3\/5, 0.3, 1\/8 in descending order.\nAnswer: 0.3, 2\/9, 1\/8, -0.27985, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllxxllllxlllllx. What is prob of picking 3 x?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 32846a?\nAnswer: -328468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4650 (b) -5 (c) -0.4 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**5 + 208*a**3 + 11*a + 624. Let z(q) = q**5 + 140*q**3 + 7*q + 416. Let l(p) = -5*n(p) + 8*z(p). Find the second derivative of l(k) wrt k.\nAnswer: -40*k**3 + 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2658 is divided by 1325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59667218 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1325*i - 1426*i + 2901*i to the form d*i + y and give d.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 5*u**2 + 3. Let l be d(-5). Let r be (10\/6)\/(1\/l). Solve 5*t = -5, -2*s - 2 + r = -t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**4 + 17566*r**3 - 5270*r + 3 wrt r.\nAnswer: 72*r**2 + 105396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 822325885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.0476821 to two decimal places.\nAnswer: 141.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h - 473*h**3 - 82*h**2 + 155*h + 481*h**3 - 32.\nAnswer: 2*(h - 8)*(h - 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316540 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-3*(-2)\/6. Let c(i) = 7*i**2 - 2*i + 1. Is c(p) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-9)*8778\/385.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/l**(-3)*l**(-4)\/(l*l**(-5))*(l\/l**(-2\/3))**(-5\/7)*l**(3\/2)*l**5\/l assuming l is positive.\nAnswer: l**(139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 4)*(-155 + 379 + 82)*(-5 - 2 + 5)*((i - 2*i + 0*i)*(-1 + 1 - 2) - 6 - 3*i + 6) as p + d*i and give d.\nAnswer: 3060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*g + 6*g**6 + 361*g**6 + 81*g + 66*g**2 - 430*g**2 - 127*g**2 wrt g?\nAnswer: 44040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 6*y + 23. Let x(n) = -n - 1. Let s(t) = u(t) + 6*x(t). What is the derivative of s(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24753646 to the nearest integer?\nAnswer: 4975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11776069 divided by 2599\nAnswer: 4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 - 8) - (33 - 75 - -20).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqbat. Give prob of sequence qb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = 10*q - 300. What is the common denominator of q\/27 - 2324\/1575 and -52\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 233, 217, 203, 191, 181, 173?\n\"Answer: w**2 - 19*w + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14322 (base 5) to base 2\nAnswer: -10010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 8. Let o = -2 - a. Solve 2*g + 6 = -o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o + 7. Let g be w(7). Let a = -5 + g. Let d = a + 9. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:33 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 3*x = -3880 + 3240 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*s + 6, -5*s = 2*r - 29 + 35. Solve s = -i + w, -12*i - 12 = -8*i + 2*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let v be ((-1)\/2)\/((-4)\/(-16)). Let q be 1 + 2\/(4\/v). Let r(u) = q*u - 3*u + 0*u. Give f(r(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35946.28 times 1?\nAnswer: -35946.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 61374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 8)*(-3 + 3 + w) - 9*w - 102 + 87 + 27 in the form p + l*w and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 0, f - 6*f + 120 = 5*n. Suppose 3*k - 10 = -2*k. Let x be (-4)\/k + n + -2. Solve a - x = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.208*5.712\nAnswer: -24.036096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*x + 3)*(11*x + 12*x + 67*x + 60*x) to j*x**2 + o + n*x and give j.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2631, 810, -2153, -6258, -11505, -17894, -25425?\n\"Answer: -571*u**2 - 108*u + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2114, 3474, 4838, 6206, 7578, 8954?\n\"Answer: 2*b**2 + 1354*b + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 2.04. Let l = -206.2 + 206. What is the smallest value in m, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-176))\/(78\/143).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/177)\/(440\/(-72) + 6). Let z = x + -189\/236. Which is the second biggest value? (a) -9 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c67 (base 15) in base 10?\nAnswer: -26422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 16243 = -17*v. Let y = v + -437. Calculate the highest common divisor of 8 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/3, 1, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-42) - 305\/7. What is the nearest to -2\/3 in -3\/7, 5, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 143, 218, 293, 368, 443?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.8549 nanometers to micrometers.\nAnswer: 0.6638549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 2*s + 4*s - s to the form k + o*s and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22789 is divided by 357?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27, 14, 0.3, -28, 2\/11 in decreasing order.\nAnswer: 14, 0.3, 2\/11, -3, -27, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -6.8. Let k = v + -4.39999684. Round k to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345364 + 345364 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 1095120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 658, 653, 650, 649, 650?\n\"Answer: h**2 - 8*h + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7152 and 21009.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l - 13. Let o(g) = 7*g - 767. Let d(x) = 13*x - 1406. Let h(j) = 6*d(j) - 11*o(j). Determine -6*h(i) - w(i).\nAnswer: 3*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 9 = 7*g. Suppose -3*v = 4*o - 164, 2*v + g*o = -v + 159. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 3\/5, 0.4, 319, -0.4 in decreasing order.\nAnswer: 319, 3\/5, 0.4, -0.4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 398068961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/80 + b**2 - 4. Let g(q) be the second derivative of x(q). Factor g(f).\nAnswer: -3*f**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -245*c**3 + 6*c**2 + 39*c + 141. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 6*n + 3*n + 4*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/9))\/f**(-7))**6*((f\/f**1)**(-47))**(-46) assuming f is positive.\nAnswer: f**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-49) + (-6170)\/(-14560). What is the biggest value in i, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -17*o + 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.5733 rounded to 0 dps?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 29*s**2\/2 - s + 2. Let a be x(1). Let p = a + -20. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7704, 1\/2, -860?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4267506 divided by 222.\nAnswer: 19223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64152 divided by -9?\nAnswer: -7128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 y when three letters picked without replacement from {y: 4, n: 7, o: 3, p: 5}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*f - 3*q, -80 = -4*f - 101*q + 106*q for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -30. Let r(t) = t - 1. Let m(z) = -z**3 + z**2 - 5*z + 5. Let y(q) = k*r(q) - m(q). Find o such that y(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-585)\/(-12))\/13*(-4)\/(-12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(176\/(-6)))\/((-3827)\/3827)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 53.000258. What is c rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-7)\/((-7)\/(-3)) - -6. Let w(b) = 2*b**2 - 7*b**3 - 3*b - 13*b**3 + 26*b**3 - 7*b**m + 2. Calculate w(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*m + 111*m**2 + m**4 + 31*m - 109*m**2 + 11*m**3 + 5 in the form i + p*m**2 + v*m**3 + f*m**4 + d*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 95 = t. Is t at most as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125912 and 28904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170214 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1808614, -1808594, -1808576, -1808560, -1808546, -1808534, -1808524?\nAnswer: -1808516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23395220 rounded to the nearest 100000?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 3*f + 244 - 76 - 113.\nAnswer: -3*f + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594026797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28806?\nAnswer: 2, 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 15 + 13 = 0. Calculate the remainder when 19 is divided by (40\/28)\/((-1)\/r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100101110111111111110 + 1?\nAnswer: 110100101110111111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484 by 121.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {s: 11, q: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/10*(3850\/(-21))\/(-10). Which is smaller: 64 or y?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18800 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9563*l + 9749 wrt l.\nAnswer: 9563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14317383510 to the nearest 1000000.\nAnswer: -14317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -7\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 35385 - 87363 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = -8. Let v(h) = 1 - 7 + 2 + y*h. Determine v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237777*m*v - 11*m + 23361008*v wrt m.\nAnswer: -237777*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (-4 - -10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -87, -82, -57, -6, 77, 198, 363?\n\"Answer: s**3 + s**2 - 19*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s = 384*c + 903 + 186, 54 = 3*c - 3*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 111. Let a = -27 - m. Let c = 44 - a. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332537894.000327 - 332538074. Let r = -180 - f. Round r to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/(-656)*(-2)\/(-3)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 4:46 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -139, -1805, -3471?\n\"Answer: -1666*f + 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2990 - -47528. Suppose 0 = -4*o + 5*m - y, -4*o + 11140 = -5*o + 4*m. Let w = -19012 - o. What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i - 1. Let q(p) = 4 + 2 + 4 - 11 + 13*p. Suppose 0 = 4*t - 4*w + 28, -3*t - 21 = 5*w - 0*w. Calculate t*y(s) + 5*q(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 11*k**2 + k + 10. Give f(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 329, 1, 2, 0, 13.\nAnswer: -2, 0, 1, 2, 13, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i = -19*i + 135 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1762 (base 8) to base 15.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7263 + 8550 = 7*k. What are the prime factors of k?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316700\/85 - 36\/(-306) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 6 - (20 - (5 - (10 + -13))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*c - 12 = 0, -18471*q - 6*c = -18472*q + 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*i - 23 + 3 = 0, -i = 0. Let f(r) = -2*r**3 - 4. Let k(p) = -3*p**3 - 5. Determine q*f(v) - 3*k(v).\nAnswer: v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58374 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2478*x**4 + x**3 - 2*x**2 - 24349 wrt x.\nAnswer: -9912*x**3 + 3*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*3)\/(sqrt(30)\/sqrt(3)*-1) - 2*-4*2*sqrt(1872).\nAnswer: 195*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7c3 (base 15) to base 3\nAnswer: -2102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and -35\/209803289.\nAnswer: 2098032890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dea - 57?\nAnswer: -2e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 49 + 33 = 0. Suppose z = -3*z + 72. Let j be (-6)\/(-27) - (-14)\/z. Sort c, -8, 2, j in decreasing order.\nAnswer: c, 2, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 + p**5\/10 + p**4\/4 + 2*p**3\/3 - 11*p**2. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528538 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -117.6. Sort -3\/4, -1, j, 1\/4 in decreasing order.\nAnswer: 1\/4, j, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76700 to the nearest 1000.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*w = 65, 3 = -o + 4*w - w. Let p = o - 3. Calculate the remainder when (222\/p)\/(1\/(-3)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10)*(-20)\/(-36). Let v = 11 - -3. Let y = 13 - v. Which is the second smallest value? (a) s (b) -2\/15 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 (base 8) in base 4?\nAnswer: -31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*s + 3*s + s)*(0*s - 3*s + s) + (-s + s - 2*s)*(-3 + s + 3) - 2*s + 2*s + 3*s**2)*(-420*s**2 + 205*s**2 + 209*s**2 + 5*s).\nAnswer: -30*s**4 + 25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/2 + 889*r**4\/2 - 131102*r**3 + 12693912*r**2 + 39273696*r = 0.\nAnswer: -3, 0, 276, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13)*-2 - sqrt(13)))*-3)**2 - 2*sqrt(1872).\nAnswer: -24*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 12170*j - 2991047. Give y(241).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 778*p**3 - 424*p**3 - 657*p**3 + 2*p**3 + 2*p**3 - 3*p**3 + (-1 + 1 + 2)*(-3*p**3 + 4*p**3 - 3*p**3) to t + i*p + u*p**2 + q*p**3 and give q.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/266 - 1243\/1330. Let t = 1 - 1. Which is the smallest value? (a) t (b) -0.2 (c) m (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 860 + -250. Let l = -606 + x. Let v be (0 + -2*1)\/1. What is the closest to -3 in l, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -3. Let x = i - 4. Solve -x*r + 2 = -10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - m - 0*m - 1257, -3*m = 2*r + 2513. Let h = -834 - r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:48 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.987 + -0.013. Which is the closest to 0.2? (a) -12 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 17*a - 50. Determine f(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18.51+0.035272\nAnswer: 18.545272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprrprzppirrr. What is prob of sequence rpz?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43044900 rounded to the nearest one hundred thousand?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -331, -494, -657, -820, -983?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 0. Factor 38*j**3 - 85*j**4 - 77*j + 27*j - 27*j**2 + l*j**4 - 53*j**2.\nAnswer: -2*j*(j - 5)**2*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 2, c: 1, t: 1, n: 1, o: 1}. What is prob of sequence xetc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 426224000 rounded to the nearest 100000?\nAnswer: 426200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/12 + i**3\/2 - i**2 - 8*i - 4. Let s(h) be the first derivative of n(h). Is s(-10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1485 - -5975\/4. What is the common denominator of -53\/58 and f?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(36\/(-8))*(-48)\/(-128).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. Let p(u) = -u + 4. Let f(r) = -r + 3. Let q(b) = 6*f(b) - 7*p(b). Let w be q(7). Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 3. Let v(g) = -g**2 - 8*g - 11. Let n be v(-7). Let l(k) = -7*k**2 - 7. What is n*l(c) + 9*q(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/1309 and -149\/37547730.\nAnswer: 262834110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + 14.3. Let r = 20 - d. Which is the third biggest value? (a) 5\/4 (b) r (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:28 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1263215396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.23 (b) -3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6536 and 1381934?\nAnswer: 105026984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -2*s. Suppose 0 = 3*r - 2*r + 4*h - 16, r = -s*h + 12. Factor r*b**2 + 4\/5*b - 2\/5 - 4\/5*b**3 + 2\/5*b**4.\nAnswer: 2*(b - 1)**3*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -25*w**2 + 4*w + 9. Let k(h) = -3*h**2 - 2*h + 1. Let s(c) = -9*k(c) + r(c). Let n(o) = -7*o. Calculate s(n(y)).\nAnswer: 98*y**2 - 154*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:16 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/4)\/(9\/(-4)). Let h(w) be the third derivative of t*w**3 + 1\/4*w**4 - 3*w**2 + 0*w + 1\/10*w**5 + 1\/60*w**6 + 0. Suppose h(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 7.\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxtxxxtxxxtxhtx. What is prob of sequence hxt?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:26 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 5*a + 6. Let i(z) = -z**2 - 4*z + 5. Let f(n) = -4*i(n) + 5*w(n). What are the prime factors of f(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6\/s)\/s*s\/(s\/(s\/(((s\/(s**(-4\/3)\/s))\/s)\/s)*s)))**(1\/7) assuming s is positive.\nAnswer: s**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9dc (base 16) to base 15\nAnswer: b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -522.9 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -168, -170, -154, -114, -44?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14354375?\nAnswer: 5, 7, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + sqrt(72)*1 + sqrt(72)))\/sqrt(2))\/(-3*sqrt(12)*2).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:19 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*i = -458*i + 2*w - 49, 317 = 7*i + w for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52421801 to the nearest integer?\nAnswer: 7240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 10) to base 12\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7449.121 milligrams to nanograms.\nAnswer: 7449121000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -0.5 (c) 37245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {m: 2, q: 1, s: 2, h: 1, u: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96360 or -2794405\/29?\nAnswer: -96360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 33239 - 33375 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -300*z**3 - 1548. Let k(u) = 3*u**2. Give k(j(x)).\nAnswer: 2430000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/3)\/b)*b**(-10))\/((b\/((b*b**4)\/b)*b)\/b*b*b*(b*b*b*b\/(b*b**(-4\/5)*b))\/b) assuming b is positive.\nAnswer: b**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30*((-12)\/(-5) - 2). Suppose 0 = 2*t - 5*c - 25, -t + 6*t + 20 = -4*c. Suppose -2*o + 73 + 119 = t. What is the greatest common divisor of s and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-6\/17))**13\/(z**5*z**6)**(-45) assuming z is positive.\nAnswer: z**(16869\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -6*(sqrt(153) + -2 + sqrt(153)) + 4)**2.\nAnswer: -1056*sqrt(17) + 18769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8649022 at most as big as -8649014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71652093?\nAnswer: 3, 17, 907, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 32, -6.\nAnswer: -7, -6, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/1122)\/(464\/(-10208)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36*t - 39 = 33*t, -t + 19 = -4*m. Let w be 1*20 + -1 + 1. Put w, -3, m in descending order.\nAnswer: w, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 6*v - v)*(1 - 1 + 2*v**2) + 2*v**2 - 2*v**2 - 2*v**3 - 11*v**3 + 13*v**3 - 4*v**3 + 5.\nAnswer: -8*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 + -71. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-35))\/(1\/1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + i - 23 = 0, 6052*w - 6049*w - 10*i + 32 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106291689 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*(-30)\/9*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6996 from -0.4.\nAnswer: -6996.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let j(h) be the second derivative of -17*h**4\/12 - h**3\/6 + 9*h - 5. What is p(j(r))?\nAnswer: 578*r**4 + 68*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -65*s**2\/3 - 204227*s\/3 + 213724\/3 = 0.\nAnswer: -3143, 68\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:13 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838595877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 22 + 4 = 0. Suppose 3*v - 3005 = 4*s, 0 = v + f*s - 2*s - 1004. Suppose 4*z - v = -5*a, a = -3*a + z + 794. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4849245, -9698488, -14547733, -19396980, -24246229, -29095480?\n\"Answer: -k**2 - 4849240*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 753098 = 2*b + 753061, -h = 2*b - 19 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 71*q + 2. Let f be s(4). Let a be (162\/(-36) + -2*1)\/((-1)\/4). What is the greatest common divisor of a and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1960))\/sqrt(8) + -5 - (sqrt(5445)*-2 + 4 - sqrt(5445) - sqrt(5445)))**2.\nAnswer: -2754*sqrt(5) + 117126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3167985 and -91871598\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 23 = -22 + 89 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*p + 187 = -0*p, -236 = -5*v + 4*p. Calculate the common denominator of 1\/((-27)\/v)*(-3)\/14 and -5\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 49*i\/4 + 25\/2.\nAnswer: -(i - 1)*(i + 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 11*f - 120. Suppose 6*n - 42 + f = 0. What is the second derivative of -4*h - 17*h**5 - 7*h + 32*h**n wrt h?\nAnswer: 300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*w - 46251, -2*z + 10725 + 20153 = -4*w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, c: 1, p: 1, l: 1}. Give prob of picking 1 q, 1 c, and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 273 - 49. Suppose u = 2*b - 52. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 262.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) + 1)**2 + 4 + sqrt(3)*2.\nAnswer: 18*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17930 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -199.64 and -3.\nAnswer: 598.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d - 5300 + 4756 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 34*u**3 + 42*u**2 - 12*u - 1. Let c(w) = 67*w**3 + 82*w**2 - 22*w - 2. What is 6*c(l) - 11*d(l)?\nAnswer: 28*l**3 + 30*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25 = 0, n + 35 = 6*n + 4*w. Suppose n*o - 12 = 0, 5*g - 2*o - 3 = -1. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 - 3*v - 23. Let h be b(-8). Let n(l) = 4*l**3 + l**2 - 3*l + 2. Let w be n(h). Solve 3*j - w*z = 12, 4*z - 9 = 2*j - 21 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11031111023 + 11?\nAnswer: 11031111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15*y**3 - 4*y**2 - 2*y + 4. List the prime factors of n(3).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (3*(-7)\/294 - 994\/(-196)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p = 52*p - 37*p + 1800 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 4 + 1 + sqrt(500) + -3.\nAnswer: 2 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 145. Let a(t) = -4*t + 440. What is 2*a(n) + 7*p(n)?\nAnswer: -n - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.68 - -91.32. Let i = b + -24. Let p = i - 67.472. Round p to two dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (785\/(-471))\/(10\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/91, -0.03, -2\/21, 1, 0.07?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7566 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 + 2*u**2 - 19*u - 4*u - 3. What are the prime factors of g(24)?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 4*v - v + (3 + v - 3)*(1 + 1 - 3) - 2*v - 3*v - 5*v)*(36 - 37 + 22)*(-3 + 0 + 2) as s + d*v and give d.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229268660 is divided by 348?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*-2*sqrt(78)*-3*5)\/((sqrt(72) + (sqrt(72)*-1 - sqrt(72) - sqrt(72))*-5)\/((1*sqrt(72))\/sqrt(6))))**2.\nAnswer: 365625\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-8)\/2)*-1. Let z be 17100*t\/(-18)*4. What is z rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + 181. Which is the closest to -0.04? (a) t (b) -0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8231, -8224, -8217, -8210?\n\"Answer: 7*s - 8238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a - 2. Let r(v) = 12*v - 3. Determine 4*r(l) - 5*s(l).\nAnswer: -7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248317\/702 - 314\/351. Let q = l - 353. Let m = 8\/49 - 87\/833. Sort m, -4, q in descending order.\nAnswer: m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15\/(w*w**2*w)*w**(2\/15)\/w**(-8))**11 assuming w is positive.\nAnswer: w**(3157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 - 52 + 5*c**4 + 5*c**3 + 50 to the form u*c**2 + l*c**4 + x*c + p + q*c**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260828.\nAnswer: 2, 197, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 51, 47, 43?\n\"Answer: -4*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595908*h + 596022*h - 228 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 872 + 438 = -450 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*c + 2*c + 2, -j + 5*c = 14. Let k(o) = -2*o - 2 + 3*o - j - 4. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76\/255 - 5\/51. Factor -4\/5 - 4\/5*k - n*k**2.\nAnswer: -(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9496 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 4 - 4)*(w - w + 2*w) + 2*w**4 - 3*w + 3*w.\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-10) - (2 + 1 + -98). What is the highest common factor of b and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-6)\/(630\/(-8907)). Let z = h + -833\/10. Find the common denominator of z and 57\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 125, 131, 139, 149, 161?\n\"Answer: l**2 + 3*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, 117 in increasing order.\nAnswer: -16, 2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 63326 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 + 2*h + 37. Suppose p = 4*p + p. List the prime factors of u(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94919.86 years to millennia.\nAnswer: 94.91986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534813428?\nAnswer: 2, 10663, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/(v*v**4))**(-8)*((v**(-10)*v)\/v**6)**(47\/5) assuming v is positive.\nAnswer: v**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1*534\/8. Let r = p - -66. Let v = -4.2 - -2.7. Which is the third biggest value? (a) r (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1445\/170*4\/17. Determine t so that 2\/5 + 6\/5*t + 2\/5*t**3 + 6\/5*t**c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.74\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -100*q**5\/3 + 2480*q**4\/3 - 15196*q**3\/3 - 12864*q**2 + 158256*q - 141120 = 0.\nAnswer: -5, 1, 42\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -1\/2*p**2 + 1 + 37*p. Let i be f(0). Solve -15 + i = -2*b + 4*z, 0 = -b - 2*z + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) + ((-570)\/(-325) - 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7*x + 8. Suppose w = 1, 3*h - x*w + 5*w = 18. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 325. Let j(r) = 85*r - 89. Give a(j(z)).\nAnswer: 14450*z**2 - 30260*z + 15517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704)*-1)**2 - -2*sqrt(704)*5 - ((sqrt(132)*-2)\/sqrt(12) + (sqrt(396) + 0)**2).\nAnswer: 82*sqrt(11) + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, w: 7, q: 4, a: 2, u: 1, v: 1}. Give prob of sequence uap.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 46, 111, 202?\n\"Answer: 13*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w - 2. Let o(s) = 6*s - 1. Let u(l) = 2*b(l) - 5*o(l). Let k be (-12)\/20 + (-13)\/(-5). What is u(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/99 and 24\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2936406.\nAnswer: 2936400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122 (base 8) in base 6?\nAnswer: 13510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*b - 11 = -42, -4*z + 30*b + 74 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -613.8255 - -614. Let x = i - -0.0255. What is the smallest value in 21, x, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d\/(d*d**24*d))\/d*d)*d*d\/(d**(-1)\/d)*(d*d**12)\/d*d**12)**7 assuming d is positive.\nAnswer: d**371","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -526\/649267 or 0?\nAnswer: -526\/649267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*i**4 - 554*i**3 - 7*i**2 - i - 426503.\nAnswer: -1416*i**2 - 3324*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5293*n**2 + 3*n - 3*n.\nAnswer: 5293*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 2*k + 1. Does 3 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91445985396 take away 80.08?\nAnswer: -79.16554014604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1265816 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/22 - (-37746)\/22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74278550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Let x = 14 + -14.4. Which is the second smallest value? (a) x (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376 + 376.0466. Let x = 0.1234 + y. Which is the nearest to -2? (a) -4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -0.5. Let k = 206 + -207.6. Let v = n - k. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130338.89 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-10))\/(-7 + (-69)\/(-10)). Solve 2*i + 4 = a*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 3*d = -8*y + 16, 3*y = 44*d - 45*d - 17 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*z + 5*h, -7*z + 2*h + 25 = -2*z. Let l be z\/2*(-8)\/(-6). Solve 2*s = -l*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -h + 997*i - 992*i + 9, -i - 8 = -5*i for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.18 (b) -0.3 (c) -22 (d) 141 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 277375 + 21?\nAnswer: 277396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 4*u - 1. Let r(n) = -2*n - 2. Let c be r(-3). Let g = -2 + c. Suppose -2*p - 2 = -g*a - 4, p - 4*a + 11 = 0. Determine y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p**3 + 19*p**2 + 62*p - 77. Is m(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 9 = -i - 3*o, 0 = -8*o - 6*o + 13*o - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(57) - (sqrt(513) - -2*sqrt(513) - sqrt(513))\/sqrt(9)) + (sqrt(8208) - sqrt(8208)*2))*-4)\/(-2*-6*(-5*3*sqrt(3) - sqrt(3))).\nAnswer: -13*sqrt(19)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 2)*(3*u - 2*u - 2*u) + (3 + 2 - 1)*(4 - 4 + u))*(-u**3 + 2*u**3 - 7*u**3) to d + r*u + j*u**4 + f*u**3 + a*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 978327 and 47488?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3756*x + 33027. What is k(9)?\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271236 - 143*g + 1271236.\nAnswer: -143*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*o = 1, -10*o - 15 = -15*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -22\/5193, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*s + 5*s + 6*u + 0*u - 58 = 0, 5*u = 50 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*g - 5*g. Suppose 11 = -g*h + 21. Factor -3 - 12*m**3 + 8*m**h + 11 + 28*m + 0.\nAnswer: -4*(m - 2)*(m + 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + -3*(-4 + 4*(1 + sqrt(11))))*5.\nAnswer: -80 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*c**4 - 87*c**4 + 19*c**2 - 3*c**4 - 20*c**2 + 135*c**4 + 1 to q*c**2 + i + s*c**4 + z*c**3 + d*c and give s.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5286340159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349589573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68677*x**2 + 69167*x**2 + 3*x + 3 - 207130*x**2 + 68839*x**2 + (2 - 2 + 2)*(-x**2 + 4*x**2 - 2*x**2).\nAnswer: -445*x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9466*b - 628680 = -1406*b for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 35*n + 255. Calculate g(-13).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 262*f**4 - 3*f**3 + 7*f**2 - 16?\nAnswer: 6288*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:40 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-77)\/(-70)) + (5 - 10 - 974\/195)\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 5, z: 2, n: 4}. Give prob of sequence ee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:44 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*k + 27*k + 32*k - 3*n - 20, 3 = -6*k - 2*n + 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -343, -335, -337, -355, -395, -463, -565, -707?\n\"Answer: -s**3 + s**2 + 12*s - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31789472*i**3*x**2 + i**2*x**2 + 12*i**2*x + 55*i*x**2 + 3*i*x + 12*x wrt i.\nAnswer: -190736832*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10201312333 + -2202?\nAnswer: 10201310131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48174.272 + 47960. Let l = -115.371 - a. Let w = 99 - l. Round w to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/4*(168\/70 + -4). Solve 6*d + 10 = 3*s + o*d, -3*d = 3*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -142142201?\nAnswer: 142142214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 3*g - 5 = -14*i, 0 = 5*i + 2*g - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:57 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 6. Suppose -m + 18 = 3*t. Solve -3*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(275) + (sqrt(275) - (sqrt(275)*1 - sqrt(275) - sqrt(275))))**2 + 1 - (-3*-2*sqrt(275) - (4*(-3 + sqrt(275)) - sqrt(275)))**2) + 2.\nAnswer: -360*sqrt(11) - 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 598790669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -64719.09718916 and -0.08?\nAnswer: 64719.01718916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*48\/968*-11*1\/7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-175)*135\/(-6) - (-1)\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -6. Let y = -2.3 - o. Sort -2\/9, y, -0.4.\nAnswer: -0.4, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0057 + -60.8057. Let u = -60.9 - o. Which is bigger: u or -44?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - (-984)\/18. Suppose -u - 114 = -2*n. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-13 - (17 - 11 - 18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 82544\/440*(0 - -5). Suppose 3*h + 2*b = 4*b + l, 5*b = -20. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 93 = -5*g, 5*i + 0*g = g + 198. Suppose 0 = -8*j - i + 71. Solve j*y + 10 = 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 494.2.\nAnswer: 988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**5 - 11*s**4 - 112*s**3 + 1908*s**2 - 50*s wrt s?\nAnswer: -600*s**2 - 264*s - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497.\nAnswer: 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - -3*sqrt(2187))*4)\/(sqrt(36)*-1*-5)*1.\nAnswer: 56*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - (-1)\/(-4). Let m = 4 + -1. Put -1\/7, v, m in ascending order.\nAnswer: -1\/7, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2, -2.1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6438600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/472 + -11591\/4248. What is the common denominator of n and -113\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7185 + -117. Let n = s + -7060.471. Let j = 0.071 + n. What is j rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15470*o + 38796 = -15466*o. Calculate the greatest common factor of o and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00776022 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-5)\/((-5)\/8). Differentiate 67 - j*f - 32*f - 2*f with respect to f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.29807 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i**2 + 3*i - 6. Let l be y(3). Solve 3 + 0 = l*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 19676 = 4*h - 5049, 6183 = h - 3*f. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from {f: 11, c: 7, l: 2}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7148866 + 0.715. Round h to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/(s\/(s**13*s*s)))**(9\/2))**7)**(4\/7) assuming s is positive.\nAnswer: s**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 2*y - 18. Determine r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.448 + 831.448. Let v = 778.3 - g. Round v to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 48 - (-77 - (-70 + 4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/5 - 9\/(-15). What is the common denominator of -85\/6 and ((-75)\/y)\/((-66)\/(-36))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1033.9516 - 1034. Let t = -0.1284 - u. Which is the second smallest value? (a) -0.1 (b) -9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2261*f**4 - 3322 wrt f.\nAnswer: -9044*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q, -3*a + 5*a + 3*q = 58. Suppose -3*k + 30 = 5*z, 3*z + 4*k - a = -0*k. Suppose 6*c + 218700 = -z*c. Round c to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115230.92647940972 + 2.14470359028. Let y = -115233 + t. Let d = -0.071 + y. Round d to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.118, -2, 4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2238573ml in litres?\nAnswer: 0.0002238573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001002498 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155.5 + -167.5. Suppose 2*r = 3*r. Which is the nearest to 0.1? (a) d (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -55?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -8. Let r = 9 + n. Which is the nearest to r? (a) 5 (b) -0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2909.2 and 0.\nAnswer: -2909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 24. Let c be o(10). Let z be c\/52 - (-306)\/4. Suppose -j + 4*v + 20 = 0, 2*v - 45 = -5*j + z. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d)*(d + 4 - 4)*(2*d + 3*d - 2*d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5175*b**6 - b**2 + 95*b - 1 wrt b.\nAnswer: 621000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82916 - 88063 - 184885 = 2575*t - 90639 for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 - 288*t - 3404. Give m(-12).\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/(z**(-5)*z))\/(z**(2\/3))**(-6\/17))**(2\/11) assuming z is positive.\nAnswer: z**(500\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39299459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.7 - 6.3. Let x = -31 - g. Which is the closest to -0.2? (a) 0.4 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**2*m + 375626*j**2 + 16126667*j*m wrt j.\nAnswer: 14*m + 751252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17747 and 47.\nAnswer: -834109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b47 (base 13) in base 12?\nAnswer: -a015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 8*c**2 - 3*c - 13. Let b be s(-6). Let u = 234 - b. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*h**4 - 620810*h**3*n + 3964473*h**2*n - 3*h*n - 2*h wrt h.\nAnswer: 264*h - 3724860*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2988 + -2272. Calculate the remainder when x is divided by 208.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {r: 2, u: 9, z: 7}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 7, 936, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-156)\/189754)\/(10385\/12430). Let t = -2\/94877 - o. Let q = t - 60237\/4154. Find the common denominator of q and 8\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1079790 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let a(d) be the third derivative of -3\/8*d**4 + 0*d**3 + 0*d + 0 + 59*d**2. Determine a(y(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8496*z**4 + 6471*z**3 + 5479 - 6471*z**3 - 1406*z**4 wrt z.\nAnswer: 28360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(9*s**2 - 39*s**2 + 11*s**2).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9 = t, t + 2902 = m + 2910 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/25)\/(12\/15). List the prime factors of 187 - ((-6)\/h - 84\/(-14)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11505 (base 7) to base 4\nAnswer: -232302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {h: 2, z: 2, c: 5, d: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*t - 7, 12 = 5*k - k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 0. Let p(b) = b**3 + 5*b**2 + b + 6. Let o be p(-5). Solve -2*a + 2*h - 2 + 8 = 0, z = a + h - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2100, 2102, 2106, 2112, 2120, 2130?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72004 by -36002.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*u + 2*u + 355, 0 = -2*j + 2*u + 260. Calculate the highest common factor of j and 5166.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(448)*-2 - sqrt(448)) + sqrt(448) - sqrt(448)) - (sqrt(7) + sqrt(63) + -3)*5)**2.\nAnswer: -4920*sqrt(7) + 188497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 23 = 5*m - 5*k, 2*m - 5*k = -29. Let l be (2\/10)\/(m\/35). Is l at least -2\/741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -161, -112, -29, 88?\n\"Answer: 17*y**2 - 2*y - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 43 + 55 = 4*o, -m = -2*o + 18 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6097 * -11.\nAnswer: -67067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - g - 2*g + (-3 - 1 - 1)*((-304 + 26*g + 304)*(0 + 5 - 2) + g + 6*g - g) in the form s*g + m and give s.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (565\/7 - (-50)\/175). Let z(d) = -11*d - 6. Let i(f) = 155*f + 85. Give r*z(t) + 6*i(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40652?\nAnswer: 2, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + i + 2)*(-24 - 4*i**2 + 24) + 2*i**3 - 4*i**3 + 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 40. Determine h(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97616, 195209, 292790, 390353, 487892, 585401, 682874, 780305?\nAnswer: 877688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnannkkakkwnakkknk. What is prob of picking 3 k and 1 a?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*(60\/9)\/(-20)*9. Let p(w) = -11*w + 24. What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34326762 - 13?\nAnswer: -34326775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392 a factor of 263631888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (560\/(-4200))\/((-29)\/86 + (-1)\/(-3)). What is t in -21\/5*t**3 + 318\/5*t**2 - 49\/5*t**4 - l*t + 24\/5 = 0?\nAnswer: -3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -32. Suppose 5*q = a, -3*z - 33 - 27 = 3*q. Let k be 10 + z\/5 - (-1 - -4). Solve l - k*b - 4 = -4*l, -7 = -2*l + 3*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.43 + -1.57. Let t = 4.2 - 4. What is the second smallest value in -1, t, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7604, -15210, -22812, -30410, -38004?\n\"Answer: 2*d**2 - 7612*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/18 + 353*y**2\/6 + 124609*y\/6 + 2147. Factor r(z).\nAnswer: (z + 353)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/35)\/(f*f**(-2\/121))*(f**21)**(2\/19) assuming f is positive.\nAnswer: f**(94137\/80465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -2*r - 3*r. Suppose -10115 - 4485 = -292*y. What is the remainder when r is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-56)*(-4)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 13823 - 3061*c**3 - 13823 - c.\nAnswer: -3061*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*10\/225)\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3)\/(4*-1). Solve o = -n + 2*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 110110111101?\nAnswer: 110110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - s - 0*s - 7, 4*f - 16 = s. Let r = -38 + 41. Find x such that x - x**4 + 0*x**4 + r*x**2 - f*x + 0*x = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose -5*n - 4 + 29 = h, 3*f + 5*n - 76 = 0. What is the remainder when 46 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, -0.437, 1\/2, -103 in decreasing order.\nAnswer: 7\/6, 1\/2, -0.437, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = 3*n. Let f(s) be the second derivative of 0*s**2 + 2*s - 1\/18*s**3 + 1\/36*s**4 + n. Solve f(h) = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - (-14)\/18. Let f(k) = 3*k + 3*k + 0 + d. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, -351 in decreasing order.\nAnswer: -2\/11, -5, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*t + 86*t + 420 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506886292 a multiple of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -160*p + 1. Let q(r) = 3*r**2 - 2*r - 6. Let l(j) = -j**2 + j + 3. Let m(w) = 2*l(w) + q(w). Give m(y(u)).\nAnswer: 25600*u**2 - 320*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 13*i**5\/60 - 19*i**4\/24 - 2*i**2. Find the second derivative of n(m) wrt m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0595 - 0.3595. Sort 6\/13, 3\/5, i in descending order.\nAnswer: 3\/5, 6\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 18 = -4*i. Suppose -15*x + i*x - 12 = 0. Solve 0 = 4*l - 6 - x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115766 (base 11) in base 6?\nAnswer: 3532242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6521 - 4789 = s - 11*s. Calculate the highest common divisor of s and 609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-42)\/(-8))\/(1\/(-4)))\/1. Let b(a) be the first derivative of 3951*a**2\/2 - 29*a + 2. Let p be b(n). Round p to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seee when four letters picked without replacement from {e: 7, s: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20424 (base 6) to base 4.\nAnswer: 223000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*3 - 10999996. What is m rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56\/35)\/((-1)\/10). What is the common denominator of 7\/(196\/j) - (-1118)\/756 and -15\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 14 + (-20 + 12 - (2 - 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -763, -1209, -1953, -2995?\nAnswer: -4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4549 + 6*c**2 - 4549 - 6*c**2 - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168.895 - 92.78. Let m = 263 - 339. Let p = m + a. Round p to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-65))\/((-72)\/41087745). Let r = h - 17558. Find the common denominator of 55\/8 and r.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916560 times 0.66?\nAnswer: 1264929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3, -9279 in ascending order.\nAnswer: -9279, -3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-109 - (4 + -2))) + (-9 - (-71 + 59)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064869*11.\nAnswer: -11713559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -4.9. Let r = -181 - -454. Let s = -272.9 + r. Is s < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1117, 2234, 3351, 4468, 5585?\n\"Answer: 1117*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 + 3*v**3 + (2*v + 4*v + 0*v)*(2*v - 2*v + 2*v**2) + 3*v**3 + 0*v**3 - v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -1105 (c) -10\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -37. Let a be (-105)\/15*(-4)\/p. Solve -a*f + 4 = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-7)\/147)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*((sqrt(77)*1 - sqrt(77)) + sqrt(77)))\/sqrt(7) + 2 + (sqrt(1100) + 0)**2).\nAnswer: -2204 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 - 2*t**4\/3 + 4*t**3\/3 - 3*t**2\/2 - 7*t. Does 2 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -113, -234, -367, -512, -669, -838?\n\"Answer: -6*g**2 - 103*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943 is divided by 923.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 2*h - 2. Suppose -f - f - 10 = -2*i, -5*f + 65 = 5*i. Let u be (0\/(-1))\/((-1)\/(-1)). Suppose 4*t - i + 1 = u. Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -83.3. Let h = -251\/45 + 29\/5. What is the third biggest value in 4\/9, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (13 + -7 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 + 152. What is the second smallest value in 0, 1, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 1\/2*h**2 - h - 4. Let o be (-3 - -1)\/(22\/(-44)). Let g(w) = 8*w - 3. Give o*a(j) - g(j).\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -549 divided by -371\nAnswer: 549\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7450 - 5*6\/(-5). Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 - 15*s - 83 + 38 to v + g*s and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 7. Let q be (8 - 5)*(1 - h). Let v(i) = -2*i**3 - 2*i**2 - 5*i - 3. Let u be v(q). What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134.2 + 134.7. Which is the biggest value? (a) 2\/747 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97321554 divided by 32440518.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 293 in 17\/116, -3, -2?\nAnswer: 17\/116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45952275.\nAnswer: 3, 5, 17, 23, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 177. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24506, 49012, 73516, 98018?\n\"Answer: -s**2 + 24509*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a + 4 + 4\/3*a**3 + 3\/2*a**2. What is the second derivative of m(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 101547.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/(f**(-3\/5)*f))*f)\/f**(1\/3))\/(f*f*f*f\/(f*f**0)*f*f)**(-1\/20))**(-31\/5))**(-39) assuming f is positive.\nAnswer: f**(31837\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3337\/7 + 483. Let m(g) = -2*g - 12. Let f be m(-9). Is i greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/91 and 73\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, f: 1, m: 1, p: 3}. Give prob of sequence pw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -r. Let h = 26 - r. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - -43 - 258) + 84?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 - 259. Solve -h = -69*o + 79*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from {r: 2, x: 1, w: 3, g: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -14615. Is r a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21*(-3)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 t when four letters picked without replacement from {k: 13, t: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27017281*x**4 - 4131*x**2 + 13806?\nAnswer: -648414744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7153 and 120.44?\nAnswer: 861507.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*g**2 - 120*g**2 + 349*g**2 - 8*g - 5*g**3 - 14 + 4*g**3 - 114*g**2 in the form i + j*g**3 + r*g**2 + k*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 503.71 - 728.52. Let c = -681 + 462. Let n = p - c. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 d when four letters picked without replacement from {d: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2233 and 17090425.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1427, -1468, -1513, -1568, -1639, -1732, -1853?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + a + 50, 5*j - 276 = 3*a - 16. Suppose 4*r + 10*s = 5*s + 52, 2*r - 4*s = 0. Let g = j + r. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15899 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - 5*b**2 + 0*b**2 - b**2 - 2 - b**3. Let c be x(-7). Let a = c + -7. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {e: 2, m: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.3, -15424?\nAnswer: -15424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 1 (b) -1\/16 (c) 4\/63 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2844*q - 2823*q + 5665*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16*q**2 - 3*q - 4. Let n be a(-2). Let t = n - 61. Suppose i = t*i - 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -2*a. Suppose 2*i = a*i - 322. What is the greatest common factor of 276 and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74557.7 millennia in centuries?\nAnswer: 745577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t\/((t*t*t*t**(-2\/11))\/t))\/t*t)**34\/((t\/(t**(-3\/2)\/t*t))\/t*t)**(-47) assuming t is positive.\nAnswer: t**(4217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 97761922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 0 + 0. Let c(a) = 19*a - 6. Let d(p) = 18*p - 8. Let t(r) = -4*c(r) + 3*d(r). What is t(q(j))?\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 0 - 0) + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -104*k**2 - 35*k + 7. Let v be d(-4). What is v rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let p = d - -2. Let s be (-7)\/(-4) - -2 - (-2 + 5). Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 1 (c) -0.4 (d) 6 (e) 8\/7 (f) 76.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/3 + 19\/57?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5024082 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 11*z**5\/5 + 5*z**4\/12 + 817*z**2\/2 + 174*z - 2. What is the derivative of g(a) wrt a?\nAnswer: 132*a**2 + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8460 + 0?\nAnswer: 8460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*h - 131*h + 1930511 = -96*h. Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -570, -6, -4 in descending order.\nAnswer: 0, -4, -6, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1. Let t = -5 - -4. Let h(s) = -s**2 - 2. Let c(k) = t*h(k) - 4*u(k). Differentiate c(y) with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 - 7*r - 2. Suppose 0 = -2*n - 4*f - 29 - 3, -4*n = -f + 19. Let b(h) = -10*h**2 - 8*h - 2. What is n*b(i) + 7*v(i)?\nAnswer: -3*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.2 + 4. Let v = r - 18. Which is the third smallest value? (a) v (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010011 (base 2) to base 5.\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10520, -42048, -94594, -168158, -262740, -378340, -514958?\nAnswer: -672594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 2*d + 10. What is the remainder when 208 is divided by l(-5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -483\/5?\nAnswer: -483\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/5316 - 21299\/186060. Let g = 4 + -3. Do b and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -4 - (-120 - (-11 - 25))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**3 + v**2 - v**4 - 5 - 7*v**3 - v**3 as a*v**2 + g*v**3 + u*v**4 + w*v + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231331 - 1?\nAnswer: 231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2, -175, -5 in decreasing order.\nAnswer: 17, -2, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1680)*21)\/(2\/30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10480 by 20.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814668?\nAnswer: 2, 3, 29, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 6*d - 168. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n. Let i(t) = -t**2 + 22*t - 35. Let m be i(20). Let z(a) be the third derivative of a**4\/24 + a**2. What is m*z(w) + u(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (101\/(-1818))\/(((-870)\/100)\/29)\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46209617 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*m + m = -33, 3*m = -3. Let z be (-6)\/24 + (-1431)\/x. Calculate the greatest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51122.58 rounded to the nearest one thousand?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 10479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*h**2 + 63*h**2 - 162*h**2 + 49*h**3 wrt h?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.975515 times 0.2?\nAnswer: -2.595103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctmlmcbllptclmm. What is prob of picking 1 c and 2 m?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {v: 2, z: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let u(l) = -10*l + 8. Let s(j) = 5*u(j) - 40*v(j). Let c(i) = i. Calculate s(c(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7034207466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77.158 (b) -2\/5 (c) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217002 or -217033?\nAnswer: -217033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:04 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 136 - 2817c?\nAnswer: -28046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d**3 - 280815*d**2 + 19715715*d - 5356125 = 0. Calculate d.\nAnswer: -5175, 3\/11, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**3 - r - 32*r**3 - 28*r**3 - 59*r**3 - 20*r**3 - 4 wrt r.\nAnswer: -798*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.200296s?\nAnswer: 2200.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1\/3 (b) 0 (c) 2457 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1894, -3557, -5280, -7057, -8882, -10749, -12652, -14585?\nAnswer: -16542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445051 and 2145203?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 14 (c) 0.2 (d) 0.3 (e) 382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, y: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2562)\/(-183)*1\/(-2). Sort -3, 95, o in ascending order.\nAnswer: o, -3, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x = -20. Let a = x + 10. Suppose k - 4*k - 3*t + 84 = 0, a = -3*k - 2*t + 85. Solve c + i + 4*i = -k, 3*c - 4*i - 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -236925*d**3*s - 82994*d**3 wrt s?\nAnswer: -236925*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4 + -2)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**3 + 5116325610215624*n**2 - 5116325610215623*n**2.\nAnswer: 13*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*z - 2. Let m be -3*(-3)\/(-12)*z. Suppose -t = -c + 3, -2*t + 15 = -5*c + 36. Solve c*k = -m - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -163, -208, -215, -172, -67?\n\"Answer: 2*l**3 + l**2 - 88*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*b + 175*b - 633*b = 53680 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -242.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52697 is divided by 549.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 44 - 110 + 66 - 11*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15028926 divided by -20701.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 58.2527 decades?\nAnswer: 582.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -0*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24566932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-21) - 6\/(-9). Let s = -144 - -724\/5. Which is the second biggest value? (a) q (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + -1c?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2. Suppose 0 = 5*y - 21 + 11. Let l be z(y). Suppose -l*m = -14*m + 118. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + q + (0 + 0 - 8*q)*(-2 - 1 + 2))*(-2 + 8 + 182) as d*q + g and give d.\nAnswer: 1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xyxyexf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 14*c**2 - 21*c - 2. Does 8 divide l(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140232 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f + 31 = -0*f, 4*r + 5*f = 54. Suppose -9*s - 64 = -r*s. Calculate the highest common divisor of s and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 880*r**2 - r + 379. List the prime factors of k(7).\nAnswer: 2, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - -2) + -11 + (-3 - 0) + -24 + 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - n. Let m(k) be the first derivative of 3*k**4\/4 + k**2\/2 + 8. Determine 2*a(f) + m(f).\nAnswer: f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 143, 148, 155, 164?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362390 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s**3 + 2*s**2 - 26124*s - 423698?\nAnswer: -15*s**2 + 4*s - 26124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057 * 225484.\nAnswer: -12852.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -48 - (-1308)\/48.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q + 1. Let h(y) = -y + 1. Let u be h(0). Suppose t - 4 = -u. Suppose -2*r + c + t = -1, -4*c - 13 = -5*r. What is b(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2856 = -16*l + 12936. Calculate the highest common factor of 700 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*6\/126)\/(50\/4).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v, -2*v - 109144914 = 8*u - 10*u. Suppose -17*r + u = -25667539. What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 67*x = 1748. Suppose -90*a = -x*a + 1026. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d**2 - 15*d + 15. Let l(b) = b**2 + b - 1. Let x(f) = -30*l(f) - 2*m(f). Let o(u) = -11*u**2 - 24*u**2 + 30*u**2. What is x(o(r))?\nAnswer: 150*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*r - 232 = -r, r = -4*w + 252. Which is the biggest value? (a) 2 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1.3 (c) -11 (d) -32574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033317 + -13.\nAnswer: -12.966683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142422 + -3?\nAnswer: -142425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4176.2012 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 15204*b.\nAnswer: -3*b*(b - 5068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*i - 16)*(i**2 + 2*i**2 - i**2 + (-4*i - i**2 + 4*i)*(2 - 4 + 1)).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 224 = 422. Suppose -k + 4*o = -54, d = k - 2*o + 6. Suppose 4*h - 4*m - 60 = -24, h - 15 = 3*m. Calculate the greatest common factor of h and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209.94 + 210. Put -2\/25, -0.2, q in decreasing order.\nAnswer: q, -2\/25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 2 i when four letters picked without replacement from ifipiqipqpiiz.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/195*25\/10)\/((-25)\/(-3))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(l + 0*l - 2*l) + 4*l + 5*l - 12*l + (-2*l - 3*l + 0*l)*(0 - 7 + 4).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15575 divided by 2\nAnswer: -15575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or 0.1847?\nAnswer: 0.1847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(175) + -4 + (sqrt(175) - sqrt(175)*1))**2.\nAnswer: 30*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -19 in decreasing order.\nAnswer: -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1326, 1091, 694, 135?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183836583329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 3*t + 1. Let m be h(-2). Suppose m*a - 12*a - 21 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/708 and -107\/10.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/((-5)\/(-50)). Let n = 15 + a. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -47*j**3 + 5*j**2 + 5*j - 5. Let i(s) = 1950*s**3 - 208*s**2 - 208*s + 208. Let f = 4765 + -4770. Give f*i(o) - 208*y(o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 742870918 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85732, 342812, 771282, 1371142?\n\"Answer: 85695*k**2 - 5*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((38125\/100)\/61)\/(1\/(-12)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggmmmrrrgmgrggg. Give prob of sequence gmgg.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (2 - 3). Let y = 2 - c. Suppose y = -z + 5 + 4. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -1 - 4*s + 4\/3*s**3 + 0*s**2 + 1\/4*s**4. Does 3 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:55 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 40 = -89 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 12, 13, 14, 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -23*p**3 - 6*p. Suppose 613 = 49*a + 319. Let f(x) = -714*x**3 - 187*x. Determine a*f(j) - 187*q(j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -0.38, 9\/5, -50?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 4. Let l(h) = 2*h**3 - 3*h**2 + 2. Let z be l(c). Suppose 4*m = z + 38. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850547213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 - 1266063?\nAnswer: -1265607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 1, y: 1, r: 1, l: 1}. What is prob of sequence ylp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.85319 centimeters in micrometers?\nAnswer: 768531.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*55\/(-99)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 10*w**2 + 4*w**2 - w**2 + 7*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 19 + 46 - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70539, 281600, 633359, 1125822, 1758995, 2532884, 3447495?\n\"Answer: v**3 + 70343*v**2 + 25*v + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1884*r**3 + 4511*r - 4662. Differentiate l(y) with respect to y.\nAnswer: -11304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (1\/5 - 302\/10)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -23726*x + 332166. Determine n(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75623414 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 327*r - 35392. Give x(109).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, -6\/7, -2\/9 in ascending order.\nAnswer: -6\/7, -2\/9, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 12. Suppose -1315 = -4*o - v*s, 0 = -13*s + 8*s + 5. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.30445 weeks in nanoseconds?\nAnswer: 5022531360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 51. Let b be x(0). Suppose -2*y - b = -5*y. Let k(n) = -93*n + 1. Let v be k(-2). Calculate the greatest common divisor of y and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1328122?\nAnswer: -1328122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 38)*(-1)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 8*b**2 + b - 12. Let h be t(8). Let w be h\/18 - 992\/(-9). Suppose n - r = 56, -2*n - 3*r + w = -4*r. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -364*f**2. Let c(z) = -4*z**2 + 5*z**2 - 10820 + 10820. Give g(c(a)).\nAnswer: -364*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 47829 = 4*v, -5*j + 6*j = 2*v - 23917. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -0.0148.\nAnswer: 4.9852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 19, 20, 21, 22?\n\"Answer: p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-28))\/((-2)\/(-7)). Let k(w) be the first derivative of -2*w**2 - w + 2. Let j be k(-8). Solve -5*y + 5*o - 10 = 0, -5*y - j = a*o - 0*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10699168*g**2 - 10461135*g**2 - 110837*g**2 + 2344473*g**2.\nAnswer: -18926667*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3342765 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296256.\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(26) - 3*sqrt(26)) - (sqrt(2106) + (sqrt(2106) - 1*sqrt(2106)) - sqrt(2106)))\/(((sqrt(36)\/sqrt(2)*-5 - sqrt(18)) + sqrt(18))\/sqrt(9)*-1) + -2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-27)\/(-2). Let g = 63 + -23. Suppose 0 = 26*k - 34*k + g. Put -5, z, k in decreasing order.\nAnswer: k, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 23\/120, 1, 5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1507994 and 2012?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30385280 and -59\/15.\nAnswer: 91155840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.041 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/23 + -71\/184. Let s = -0.18 - 0.92. Let r = s + 1.2. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*f + 28*f - 301*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/81620 and 19\/97790.\nAnswer: 10365740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-three fifths of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - i + 0*i)*((-3 + 2 + 0)*(-6 + 2 + 2) + 1 + 7 - 7 + 1 + 0 - 5) in the form d*i + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2122757, -2122779, -2122777, -2122739, -2122653?\n\"Answer: 2*h**3 - 36*h - 2122723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1704\/84 + -20)*(-56)\/288.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74628, -74627, -74626, -74625, -74624?\n\"Answer: r - 74629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12612 and 1517644?\nAnswer: 4552932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m + 66 = -3*w, 5*m + 107 = -3*w. Let t = 3 - w. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 + 180260*o - 1624683380 = 0.\nAnswer: 18026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + sqrt(19))*2 - ((-1 + sqrt(19) + -4 - sqrt(19)) + sqrt(19))).\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 + 8*w + 13224. What is b(44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 1. Let o be 7*6\/(-7)*1. Let z be (0 - -3) + o\/2. Suppose -4*s + c + 9 = 0, z*s + 4*s + c + 1 = 0. Determine i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3617 + -3610. Sort -5, j, 21, -4 in descending order.\nAnswer: 21, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/16 and -23\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4173 - 4549 - 11644 + 4555 - 4315 - 12398)*(-2*z**3 + 0*z**3 - 2*z**3) as r*z**3 + u*z**2 + n*z + s and give r.\nAnswer: 96712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87758521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22557 = -5*l - 2*x, 63*l - 2*x = 67*l - 18046. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*i - 2882 = 0, 12*i - 14*i = -2*a + 1444. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 4:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -11*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -0*s, 3*c - 31 = 5*s. Let k = 19 - c. Is (10 + -6)*6\/k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1067ab7 - 3?\nAnswer: -1067aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 272 - 193. Let r = g - -111. What is the greatest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1799 times -0.646\nAnswer: 1162.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9 = 4*y + 7, -d = 5*y + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 81*n**2. Let s(y) = -3*y**2. Give s(l(b)).\nAnswer: -19683*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2*(-6)\/8). Suppose h*p + p - 30 = 0. Solve 0 = -5*u + p, 6 = 5*l - 4*l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730 times 0.5?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 373\/224 + 1\/672. What is the fourth smallest value in b, 1, -7\/4, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7. Let l be 6\/(-21) + 1612\/(-434). Determine r(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-17 - -5) + 14 - (2 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42547718 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/11 + 16*y**2\/11 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 1, l: 1, v: 2}. Give prob of sequence vavl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.5, 1, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/2))\/d)\/d)**38*d*d**(-2\/27)*d*d*d**3\/d assuming d is positive.\nAnswer: d**(-1406\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -4 + 22\/176*115048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o - 39*o - 8370 = 17*o + 15*o for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -134*(-4)\/1440 + 30\/(-135). Which is greater: o or -35\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2230, -0.3, 3, -1\/123, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1758.\nAnswer: -1\/1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 421770*t**2 + 1. Suppose 5 = -2*j + 3. Let v be f(j). Suppose -v + 6121771 = -3*y. Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 - 2*g)*(0 + 3 - 1 + (-1 + 2 - 2)*(1 + 3 - 2) - 2 + 5 - 1).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(3 - 5 + 4)*(-312 + 626 + 31*o - 318).\nAnswer: -186*o + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, x: 3, i: 1, g: 1, j: 2}. Give prob of sequence xjjx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**4 + 4*v + 23. Let j(y) = -3*y - 24. Let r(w) = -4*j(w) - 3*m(w). What is the derivative of r(z) wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125776 and 2497552.\nAnswer: 17482864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048381 is divided by 26873?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196372 is divided by 39267.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1) - -1 - 121\/(-363))*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Find the common denominator of (21\/(-54) - p) + 3 and 73\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31523035 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 11*j + 14. Solve -2*s + 2*x = -5*s + j, -3*x + 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*k + 97, 2*s + 4 + 6 = 0. Let l = k - -41. Suppose -4*m + 33 = 3*i, -l*m = -i + 2*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(2\/((-4)\/(-1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, -0.02, 1\/6, -1, 3, -0.4, 0.81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-460)\/(-5) - (3 - 0). Let p = r - 51. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47090.\nAnswer: 2, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1084*-2.32\nAnswer: 2514.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3295*a**2 + a. Suppose 0 = -4*g + 5 - 1. Let q be k(g). Let z = q - 1335. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2874 and 4790?\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1 - 1 - 1 - 2. Let x be t(10). Suppose -d + x - 4 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 7*x - 66, 1 - 12 - 13 = -4*x + 8*c + 20 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-22)*o*(o**(-11\/2)*o)\/o assuming o is positive.\nAnswer: o**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46 + -9b379?\nAnswer: -9b333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**3\/3 - c - 199. Let i = -26 - -17. Let n = 29 + i. Let m(d) = 4*d**3 - 20*d**2 + 20. Calculate n*z(h) + m(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 20 = i, -4*j + 3*i - 24 = 0. Let k be (0 + j)\/1 + -74. Is 1 + -2 + (3 - k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.22, 0.6, -4\/9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 15. Let n(k) = -k + 4. Let r = -117 - -138. Suppose -9*y + 72 = -r*y. What is y*g(p) - 22*n(p)?\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1229606312\/2335 + 526598. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -907, -1896, -2851, -3754, -4587, -5332?\n\"Answer: 3*k**3 - k**2 - 1007*k + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - 3 - (-5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -431 - -435. Let 2 - 26*r + 168*r**y + 245\/2*r**2 - 244*r**3 = 0. What is r?\nAnswer: 1\/4, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245350 (base 6) to base 9\nAnswer: -33103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Suppose 0 = -5*y + o*y - 240. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59350 is divided by 605.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 + 2*z**3\/3 - 8*z**2 - z. Suppose 0 = -290*a + 246*a + 176. What is the remainder when 141 is divided by x(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01162 - 0.51162. Let g = -29.2 - -3.2. What is the biggest value in t, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14700*a**3 - 33968 with respect to a.\nAnswer: -44100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 + 676*x**2 - 1348*x**2 + 672*x**2.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 - -108. Let i be (15\/y)\/((-8)\/(-16)). Which is bigger: i or -52\/11?\nAnswer: -52\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2268)*2)\/((sqrt(27)\/sqrt(3) + sqrt(9))*2 - sqrt(9)).\nAnswer: -3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -9975.\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 203274 divided by 22586\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h + 2*h + 4*m, -5*h + h - 4*m = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h + 42*h - 21*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {b: 12, p: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 84. Let j = s + 2. Which is the smallest value? (a) -1 (b) j (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1201 divide 6302255907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**9\/72 - 7*j**5\/30 - 106*j**2 - j. Find the third derivative of f(b) wrt b.\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132))*3 + sqrt(132) + sqrt(132) + -4*(-2*sqrt(132) - sqrt(132)))\/(sqrt(12) + sqrt(60)\/sqrt(245) + (-1*sqrt(132))\/sqrt(11)).\nAnswer: 161*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7694 + 1680 = -2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 48 = -22*c. Suppose 0*m - 3*m = -c. Suppose 2*k = k. Solve -v - m + 1 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5451 (base 6) in base 2?\nAnswer: 10011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, 6.75, 0.3.\nAnswer: -5, -2\/7, 0.3, 6.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -48. Suppose 0 = -0*a - 2*a + x*a. Suppose -f - 4*g + 91 = a, 4*g + 386 = 5*f + g. List the prime factors of f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 46*b + 1. Let r(i) = -i - 5. Let w(p) = -24*p - 60. Let v(t) = 12*r(t) - w(t). Give v(c(m)).\nAnswer: 552*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2, x - z - 11 = 2*z. Let m(p) = x*p**2 - 2*p**2 + p**2. Let t(g) = -4*g**2. Let r(s) = -5*s**2. Let q(n) = -5*r(n) + 6*t(n). Give m(q(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*u = -7, 460*u - 23 = -2*m + 455*u. Solve -4*v - 4*j + 24 = 0, 26*v - 24*v - 2*j + m = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + p + 9, -3*k + p = -2 + 5. Let t be k + (2 + -6)*-1. Is -3 + t - -1 - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763 divided by 2.\nAnswer: 763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u - 1. Let i(c) = 13*c**2 - 13*c**2 - 4*c - 2*c**3 + 20. Let y(v) = i(v) - 4*t(v). Differentiate y(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - -368. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 48 = -28. Suppose x*t - 366 = -2*c - 93, -3*t - 2*c + 163 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13254 - -20809. Let o = 95616 - c. Let f = 175061 - o. What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (119\/(-102))\/(1\/(-6)). Suppose a - 280 = -4*a. Calculate the highest common divisor of a and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**2 + 166*p + 0 + 1\/6*p**3 - 5\/12*p**4. Let d(b) = 11*b**2 - 2*b - 4. Determine -6*d(x) - 13*m(x).\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 46*g = -8, 12658 = 3*z + 2*g. List the prime factors of z.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -691169161*v**2 + 595*v + 65537?\nAnswer: -1382338322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 != 0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 23*p**2 - 32*p + 22. Let s be t(10). Is 27 a factor of (8\/s)\/(9\/243)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = -2*f - 5*w, 0 = 5*f - 3*w - 24. Suppose f*u - 3*x = -0*u - 111, 5 = -x. Let c = u - -60. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 2*o. Let b be z(-2). Let a be 19\/((-2)\/5 - (-13)\/20). Let l = a - b. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 - 372 = 18*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -3\/8 (b) -324 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0 - 1\/12*d**4 + 0*d**3 + 0*d**2 + 19*d. Let m(u) = -2*u. Give m(h(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(27)*1 - (sqrt(432) + -1))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -636*s + 621*s. Put s, 2, 0 in ascending order.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2809336 to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 284, 422, 558?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183604 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4029.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*s**2 - 9*s**2 - 4*s**2 + (0 + 0 + 2)*(0*s - 2*s**2 + 0*s) - s**2 - s**2 + 3*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29097244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25647718 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(48\/(-32))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3152*r + 3223*r - 566580. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*k + 3 = 0, 8*d - k - 13 - 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 5*z**4\/18 - z**3\/9 - 40*z. Find o, given that j(o) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/((-3)\/((-54)\/63)*2\/(-1)).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k - 3*k)*(68*k + 41*k**2 - 68*k) - 3*k**3 + 4*k**3 + 2*k**3 + 2 + 4 - 4 - 6*k**3.\nAnswer: -85*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)\/o*o)\/o**3)\/(((o\/(o*o**(2\/13)))\/o*o*o)\/(o\/o**(-16)*o)) assuming o is positive.\nAnswer: o**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130456163 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123338\/77589 + -334\/233. Calculate the common denominator of -29\/814 and n.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -199*h + 27. Let b be u(2). Let o = b + 372. Let a(y) = -y**3 + y**2 - y + 1. Let w(l) = -4*l**3 + 2*l**2 - 2*l + 2. Determine o*w(k) - 2*a(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 - 2540466.96169?\nAnswer: -2540585.96169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*f**4 - 44*f**3 - 175*f**2 + 3784211*f + 2 wrt f.\nAnswer: -312*f**2 - 264*f - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -14*h + 1375. Let k = -83 + h. Suppose -11*t**3 - 12*t**2 - 6*t**3 + 20*t**k - 6 + 15*t = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4828 and 107\/4560730?\nAnswer: 11009602220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 - 3*w**2 - 6*w - 5. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14914721869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (7 - 21 - -28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31852 and 7007440?\nAnswer: 7007440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, -3*c - 4*j = -126 + 36. Let q = -5 - -12. Calculate the remainder when c is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z + 62*z + 9*z**2 + (-z + 7*z - 3*z)*(-2 + 0 + 4)*(z + 2*z - 4*z) as n*z**2 + y + h*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 2*n**2 + n + 6. Let v be x(-3). Solve -2*r + 4 + 0 = -2*w, 3*w + 3*r = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19313639 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3993)*-6 + sqrt(3993))\/(-2*sqrt(1100) + sqrt(11) + -1*sqrt(1100)))**2 + 1.\nAnswer: 9916\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-45)\/(16830\/44))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.334983t?\nAnswer: 1334983000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443670901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let s = 10 + c. Let d be (6\/s)\/((-105)\/(-40)). What is the smallest value in -4, d, -4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/((-16)\/(-24)). Suppose -j - 16 = -i + 32, 3*i = s*j + 144. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*n + 102*n - 408. Factor 9\/7*r**n - 54\/7 + 48\/7*r**2 + 45\/7*r.\nAnswer: 3*(r + 3)**2*(3*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1038612*o*u**2 + 50*o + 464415*u wrt u.\nAnswer: 2077224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*l + 1194*l + 11*l**2 - 21*l**2 - 5*l**2 - 597*l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1164, 1, -104, -4, -138 in increasing order.\nAnswer: -138, -104, -4, 1, 1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-276)\/(-252) - 6\/14. Let x = -15\/4 - -7\/2. Let o = -4.95 + 4.85. Which is the biggest value? (a) v (b) o (c) -0.6 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60423 rounded to three dps?\nAnswer: 0.604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 1, f: 4, p: 4, w: 3, r: 1}. Give prob of picking 3 p and 1 a.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 35056.\nAnswer: 315504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71775984043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-2\/7)\/b*b*b))**(5\/3)*b**(2\/37)*b**(-1\/6))**(-42) assuming b is positive.\nAnswer: b**(4615\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344.495 + -345. Let x = 0.849 + y. What is x rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:25 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329885435?\nAnswer: 5, 11, 23, 79, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-22) + 4\/(-22). Suppose -x = k - 3. What is the second derivative of -3*d - 3*d**3 - k*d**3 + 3*d**3 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1005 - -1479. Suppose n = 12*z + 450. Solve -2*g + p + 3 = z, -2*p = -3*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 1559842.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - ((-1 - 3) + (-140 - -103)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223133 (base 4) in base 16?\nAnswer: -adf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -65*j - 82*j + 877. Solve 30 = j*o + 66 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfv when three letters picked without replacement from pbxxxvxbvxfpxxbpbbpb.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3\/5))**(4\/7))**(-33))**(-1) assuming o is positive.\nAnswer: o**(1056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, x: 3, b: 7, r: 3}. What is prob of sequence brur?\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*p = 1392*p + 2054*p - 57319 - 51229 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, -32613, -5, -1.\nAnswer: -32613, -5, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2024*l - 4. Let q be f(21). Let m(b) = 2*b**2 + 2*b - 1. Let v be m(-2). Let r be q\/(v*3\/(-36)). Round r to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 7*q + 38*q**2 - 67*q**2.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 564, 759, 1050, 1449, 1968, 2619, 3414?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 14 = -14. Let d(o) = 6*o + 3. Let v be d(3). Suppose c - v = -m*c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 45. Let j = 0.653 + -0.153. Which is the second smallest value? (a) w (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2045 + 22478\/11. Suppose 0 = -12*s + 14*s - 10. What is the common denominator of s + -9 - 102\/(-52) and h?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 1455654*w**2 - 2911317*w + 1455660.\nAnswer: 3*(w - 1)**2*(w + 485220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 3:19 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59950013 is divided by 604.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -58. What is the second smallest value in g, 4, -2\/19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -d + 597, d + 114 = y - 39. Suppose -4*u - u - 490 = 0. Let k = y + u. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2816438 + 27*u - 26*u - 8231751.\nAnswer: u - 11048189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20479256 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9063 + 11788. What is the greatest common factor of k and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 17*h**2 + 95*h - 175. Let x be j(6). Is x at least as big as -17969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 2*k = 143, -167 + 153 = 2*p - 4*k for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/45)*t*t*(t*t\/(t*t*t\/(t\/(t*t**(-1\/12)))*t*t)*t)\/t assuming t is positive.\nAnswer: t**(-157\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmkxkkixxknm. What is prob of sequence xk?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 3)*(-4 - t**2 + 4) + (-2 - t + 2)*(-2 + t + 2) + 0*t + 0*t + 2*t**2 + 3*t**2 - 2*t**2 - 3*t**2 + t**2 - 2*t**2 + 3*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0 - sqrt(500))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 197695\nAnswer: 1\/197695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 7*p = -54*c + 50*c - 80, -28*c + 40 = 3*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 9234*h\/5 - 21316689\/5.\nAnswer: -(h - 4617)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b82b0 + 1?\nAnswer: -2b82ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(128) - sqrt(128)) + 0 - (-1 + (sqrt(128) - -2*sqrt(128))))**2.\nAnswer: -48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 - 644.042. Let p = k - -0.042. Let r = -0.1 + 0.1. Which is the closest to 1\/2? (a) r (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 1 = -8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(110) - (sqrt(110) + (-6*-2*sqrt(110) - sqrt(110))) - ((sqrt(110) - 1*sqrt(110)*-6) + sqrt(110)))\/(sqrt(1000) + -2*sqrt(1000)*-6).\nAnswer: -57*sqrt(11)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 4335764 + 65740 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 32*o**2 - 80*o - 2095. What is u(-33)?\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - o)*(3 - 5 + 1) - 148*o - 8242 + 8242.\nAnswer: -149*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/9)*w)\/w**26)\/(w\/w**(-4)*w*w*(w\/w**(1\/6))\/w*w) assuming w is positive.\nAnswer: w**(-601\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17666 and 256036?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:25 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2 + 36*j - 79*j + 43*j. Let z(r) = 4 - 2 + 7*r - 2. Calculate o(z(k)).\nAnswer: -294*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 3. Suppose 0 = x + 1. Let r be ((-30)\/9)\/(x\/(-3)). What are the prime factors of k(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*m**2*r - 175377*m**2 + 3952*m*r with respect to r.\nAnswer: -115*m**2 + 3952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -a47?\nAnswer: a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7039712 minus 68.8351?\nAnswer: -7039780.8351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.100046 to 2 dps.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.934 - 1.0284. Let g = n + 33. What is g rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*l - 105, 31 + 5 = s - 4*l. Let d be 3\/((-6)\/(-10)) - 0. What is the derivative of 2*x**4 - 4*x**4 + d + 6 - s*x**4 wrt x?\nAnswer: -72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149291 rounded to 7 dps?\nAnswer: -0.0001493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*b + 691*b = -23385 + 4905 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = -178*q - 346 + 446 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (126\/84)\/((21\/(-2))\/3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15190*h**4*o**3 + 2*h**2*o**3 + 2*o**3 + 5*o**2 - 39*o + 102 wrt h.\nAnswer: -60760*h**3*o**3 + 4*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 12) to base 3\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + x - 6, 3*d - 4*x + 10 = -12. Let i be d\/(3 - 1018\/334)*-4. Let v = -86 - i. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 16, 27 = f + 2*r. Let w = 306 - f. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 5*p**2 + 11*p - 15. Suppose 24*n - 125 = -29. Let q be j(n). Solve 2*t = -3*v, -t - 4*t = v + q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let o(b) be the first derivative of 9*b**2\/2 + 15. Calculate o(z(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 7*k - 2*k - 9, -5*m - 3*k = 25. Let s(v) = -v + 8. Let o(r) be the second derivative of -r**3\/6 + 5*r**2\/2 - 7*r. Determine m*o(u) + 5*s(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 7}. What is prob of sequence um?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 6. Let y be u(-6). Let l = -14 - y. Suppose 3*c + 0*o = o + 26, -l*c = -2*o - 34. What is the smallest common multiple of c and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w - 38 + 38. Let l(k) be the third derivative of 0*k**5 + 10*k**2 + w*k**4 + 1\/840*k**6 + 1\/1470*k**7 + 0*k + 0*k**3 + 0. Factor l(v).\nAnswer: v**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10827120 and 33720.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -243116412 + -1?\nAnswer: -243116413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25864, 51728, 77592?\n\"Answer: 25864*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -156637 (base 12) to base 4\nAnswer: -1120310023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 14*f - 12. What is the smallest common multiple of 22 and g(-5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.96 + -22.04. Which is the smallest value? (a) -5\/3 (b) 2\/7 (c) s (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*x**4 + 2*x**3 - 192*x**2 wrt x?\nAnswer: -5904*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2981 + -1956. What is the greatest common factor of 41 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11544125 and 1625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1724 and 42\/5.\nAnswer: 8620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 - -11?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 3871827\nAnswer: -3871843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 5*d**2 - d**3 - 1\/8*d**5 - d**4 + 7\/80*d**6 - 2 + 0*d. Let x(a) be the second derivative of i(a). Factor x(g).\nAnswer: 3*(g - 2)*(g + 1)*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:41 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10087570 and -35\/175436.\nAnswer: 20175140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 0.1, -21, 9, -2, 51?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1183*x**2\/2 + 221*x + 930. Let g(j) = -16*j - 3. Calculate 6*d(l) + 442*g(l).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 13 + (-4 - -3 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3026, -6249, -9672, -13295, -17118, -21141, -25364?\nAnswer: -29787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxqmmxmmqxrqxmqm. What is prob of picking 2 m?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Suppose 5 = -v*k + k. Let q = 1 + k. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from vvvuveueuvuvv?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000254407769 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1147\/(-222) - -7*(-3)\/(-6). Let g = -0.1 - -5.1. Sort n, 4, g in descending order.\nAnswer: g, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + g)*((1 + 2 - 2)*(-2 + 0 + 0) + 9 + 4 + 3)*(-16*g**2 + g - 12*g**2 + 30*g**2).\nAnswer: 56*g**3 + 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201 + -122?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 + 7015810*d + 12305397489025 = 0. Calculate d.\nAnswer: -3507905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbblb. What is prob of sequence ll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 2411836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9333 + -4988. Suppose 0 = 27*p - 22*p - t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-54)\/(-4))\/(-9)*-2. Let f(l) = l**3 - 3*l**2 - l - 1. Let n be f(r). Let d be (2 + 9\/(-1))*n. Solve -4*p = -4*t - d, -2*t - p = -5*t - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 0.0976571.\nAnswer: -0.1023429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -7, -5, -1, 5 in decreasing order.\nAnswer: 94, 5, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 - 4 = 0. Solve -2*i = -w*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Suppose -2*h + 0*h - u*f + 2 = 0, -h = -5*f - 16. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w**2 + 2*w - 4. Let i(m) = -23*m**2 - 3*m + 5. What is 4*i(o) + 5*p(o)?\nAnswer: 18*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 706 + 189*v**2 - 435 + 899 - 190*v**2 to the form d*v**2 + l + q*v and give l.\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4211, -4208, -4205, -4202, -4199?\n\"Answer: 3*k - 4214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336*n**2 + 328*n**2 + 926*n**2 + 188*n**2 to the form p + k*n**2 + j*n and give k.\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.555 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/(-5))\/(62\/6045).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-7)\/(4*-14)). Solve m = 4*z - 7, -z + i = 3*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -124*n**3 + 5*n**2 + 6*n + 2. Let b(p) = 126*p**3 - 4*p**2 - 4*p - 1. What is -3*b(w) - 2*q(w)?\nAnswer: -130*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16856)\/(4\/(-1)) + (48 - 56)?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (5 - 3) - -13. Is 15 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 497834160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jmjmajjmjmmmjjmjajjj?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (1 - 0)) + (20 - 18). Suppose k = -s + 141, 0 = -4*s + j*s - 2*k + 142. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - 200. Let z = 95 + i. Suppose 0 = 2*o + 2*o + 3*t - 818, 0 = -z*o + 3*t + 624. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*t**3*y**4 + 5131*t**3*y - 77*t*y**4 - 4*y**4 - 10*y**2 - 2 wrt y?\nAnswer: -720*t**3*y - 1848*t*y - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21561983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 704444567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*3307583.\nAnswer: -330758.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((6 - 9) + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 50*k - 14. Calculate f(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -2*u**5\/25 + u**4\/10 + 2*u**3\/15 - u**2\/5 + 6. Factor z(m).\nAnswer: -2*m*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 5. Let q(n) = 5*n + 6. Let z(a) = 4*c(a) + 3*q(a). Calculate z(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - 3*f**2. Calculate the remainder when 2 + 0 - 3 - -17 is divided by h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 178?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfs when four letters picked without replacement from {v: 6, f: 2, s: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 3*w - 3. Let c be s(1). Let p = 3 - c. Solve j - 3 + 5 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v - 40*v**2 + 15*v - 18*v**2 - 70*v**2 to the form c + u*v + f*v**2 and give f.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.19875 centuries in years?\nAnswer: 6819.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -86. Let l(z) = 6*z**2 + 6*z - 7. Is l(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7744.7 and 0.2.\nAnswer: 1548.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 0*f + 2 + 20.\nAnswer: -7*f + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 32. Let k be (84\/(-16))\/((-6)\/f). What is the tens digit of (-4)\/k - 186\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1*4\/(-3). Suppose 0 = c*x - 12 - 472. Suppose -3*l - 2*g = -x, 5*g + 234 = 5*l + 74. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -291, -540, -791, -1044, -1299, -1556?\n\"Answer: -h**2 - 246*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.4 - 35.4. Which is the nearest to -2? (a) d (b) -2\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 90489 = -31067. Which is bigger: j or 1608?\nAnswer: 1608","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -5*v**2\/2 - 15*v - 17. Let l be n(-4). Solve -3*w = l*z + 14, -z = -w + 2*z + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -83847668.71?\nAnswer: -83847668.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:17 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*x**2 - 325*x**2 - 198*x**2.\nAnswer: -731*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 110, 104, 98?\n\"Answer: -6*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 205081.\nAnswer: 205080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/24 + 21\/9. Suppose -2*q = -5*d - 5*q + 1290, -773 = -3*d - w*q. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28)\/((-5496)\/(-25648))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1821 and 0.068093.\nAnswer: -123.997353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130, 252, 350, 412, 426, 380, 262, 60?\n\"Answer: -2*i**3 + 136*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 4632, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 2*b + 1. Let p be j(-1). Suppose -3*u - 4*x + 30 = 2*u, 4*u = -4*x + 24. Find the third derivative of -s**2 - s**u + 6 - p wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363*g**6 + 40*g**5 - g**3 + 262572*g**2?\nAnswer: -43560*g**3 + 2400*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -0.0437, 2\/69, 8\/15?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 11*x**2 - 4*x + 10. What is d(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - x**3\/3 - 2*x**2 - x. What is the units digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-140)\/(-200)*((-71)\/42 + 2) and 71\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 + 55105?\nAnswer: 55170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = -7*a. Let h(z) = z**4 - z**3 + z**2. Let i(f) = 11*f**4 - 6*f**3 + 6*f**2 + 25. Let y(q) = a*i(q) + 6*h(q). Differentiate y(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 2*o**2 - 3*o - 4. Let g be v(3). Let f(h) = -h**3 - 221*h + 2280. Let z be f(8). Sort 2, z, g, -3 in descending order.\nAnswer: 2, z, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.318 * 0.891.\nAnswer: 2.065338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2107\/6 - -703\/2. Which is the biggest value? (a) -1 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 1830\/90) + (-3)\/9*-4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 104113015*f**2 - 541976359014880*f - 3793829411568140 = 0. Calculate f.\nAnswer: -10411298, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70\/17 + 297\/68. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 + 8*n - 12. Let j be b(9). Let l = j + 133. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 - 1207*w\/7 - 64844.\nAnswer: (w - 1508)*(w + 301)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 752?\nAnswer: -751.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 54*v**2 - 296*v + 79. Determine k(59).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 2*a, -3*a + 12 = 3*i. Suppose -t = 2*t - i*y - 192, 12 = 4*y. Suppose p - 13 - 9 = 0. What is the highest common factor of p and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.64 in -23\/10, -2\/3, -11?\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2588407 and 6.\nAnswer: 15530442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) 538 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 1 - 8672*l + 8.\nAnswer: -8672*l + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/8, -0.3, -3\/4, 1\/2 in decreasing order.\nAnswer: 7, 1\/2, 3\/8, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 1*3\/3*2. Suppose -4*m - 94 = -v*c, 2*c = -2*m + 76 + 12. Let j = c + -21. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-72)*(-576)\/(-162).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + (sqrt(208) + -3)*4 + 2*-1*sqrt(208))*-1)**2.\nAnswer: -512*sqrt(13) + 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2 - 8, -v + m = 12. Let k be 1 + -1 + (-2 - v). Let z be 30\/k + -1 + 559999. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 67 - -50 - -49.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757482?\nAnswer: 2, 7, 13, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 38*o + 0*o**2 - 25*o - 41*o.\nAnswer: -o*(o + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 + -238. What is the closest to 15 in -5, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*j + 8 = 0, -3 + 12 = -3*j. Let p be 0*(-1)\/(v - 2). Solve -z - 5 = -p*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - j + 5*j)*(214 - 214 - 38*j**3) to the form d*j**3 + z*j**2 + w*j + p*j**4 + c and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - 2 + 2)*(2*r - 1 + 1) + r**4 - r**4 - 3*r**5 - 6*r**5 + 2*r**5 + 7*r**5 + (0*r**5 + r**5 - 2*r**5)*(1 + 2 - 4).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3 - 1 + 3*f - 2*f. Let k(d) = -6*d - 2. Let h be k(-1). Let s(j) = j - 3. Let m(c) = h*s(c) - 3*z(c). Let o(n) = 2*n**2. Calculate o(m(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -75*d + 34*d + 39*d. Let s(f) = 91*f**2 - 56*f + 56. Let n(j) = 5*j**2 - 3*j + 3. Let y(c) = 56*n(c) - 3*s(c). Calculate h(y(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose -2*m + 3*m - 12 = r. Suppose -p + m = -6. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)*(2 + -3). Suppose 0*v - 5*v - 30 = u. Is 2\/v - (-154)\/21 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25 - 1372.\nAnswer: -1372.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -46*z. Solve 8 = -8*f - z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and -11.\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 29540108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - -97) + (-41 - -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5*g**2\/2 - 28*g - 25. List the prime factors of j(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - c**2 - 3*c - 2. Let j(v) = -6*v**3 - 4*v**2 - 10*v - 6. Let q be 1 + 4 + 114 + 4. Let n = 120 - q. What is n*j(p) + 10*y(p)?\nAnswer: -2*p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481276 is divided by 1481195.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 10*i - 24. Let x be p(-7). Let o = 1214\/5 - x. Find b such that 2\/5*b**4 + 2\/5*b**2 + 0*b + 0 - o*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + (-2 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qic when three letters picked without replacement from {c: 2, q: 1, n: 7, a: 1, z: 2, i: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 297683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 323 + 76 = 0. Suppose 14 + 49 = x*u. Solve -u - 5 = -8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7420, -7276, -7132?\n\"Answer: 144*n - 7564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*w + 4875, 2*w - 1950 = -0*t + 2*t. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {l: 2, p: 10, h: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 1\/720*r**6 + 1\/60*r**5 - 11 - 5\/3*r**3 + 0*r + 0*r**2 + 1\/16*r**4. Let s(h) be the third derivative of n(h). Factor s(w).\nAnswer: (w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 4568*f - 5*f**2 - 4569*f + 1.\nAnswer: -(f - 1)*(5*f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7760723nm in kilometers?\nAnswer: 0.0000000000007760723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 8, o: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3510179, -3510236, -3510335, -3510476?\n\"Answer: -21*v**2 + 6*v - 3510164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*a - 10200 = 166*a - 59*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 24*g**2 + 342*g - 22. Determine f(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736 = -85*j + 3841 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 - 1) - 6 - (-6 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {v: 11, c: 1, m: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -38*y**2. Let m(k) = 92*k. Let i(t) = 350*t. Let g(w) = 4*i(w) - 15*m(w). Determine g(s(x)).\nAnswer: -760*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272385960 rounded to the nearest one million?\nAnswer: 1272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65780 + 65587 - 131367 + 62*j.\nAnswer: 62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/3 (b) 0.08 (c) -0.5 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 8, 1, -5\/3, 0, -1.7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323882 = 12246*l + 2825*l + 83035 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 2*n**6\/3 - 208*n**2 + 4294*n. What is the first derivative of m(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 38 = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 5*v**2 + 28*v - 14. What is the remainder when a(-9) is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00789389003 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*((3 + 0 - 1)*(q + q + 0*q) + 455 - 455 + 67*q) + 1 + q - 1 to d + s*q and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0.2. Let x = t - -3.8. What is the closest to x in -4, 1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 3*c - 1. Let k(w) = 3*w**2 + 7*w - 1. Let d(g) = 2*k(g) - 5*m(g). Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/4*2\/2. Let q(a) be the first derivative of x*a**4 - 1\/3*a**3 + 0*a**2 + 0*a**5 + 1\/3*a**6 - 1 + 0*a. Find the third derivative of q(l) wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446256169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 66 = -5*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 504*q**2 - 23040*q - 153600.\nAnswer: -3*(q + 8)*(q + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91211894 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z - 9. Let q be m(6). Suppose 3*p + 5*d = -10, -5*d - 17 = -4*p - 77. Let l = p - q. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:20 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, v: 1}. Give prob of picking 4 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:06 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(605) - (sqrt(605) + -1 - sqrt(605))) + sqrt(605).\nAnswer: 3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1151796 - -88.\nAnswer: -1151708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31964037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, o: 3, y: 4, k: 2, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8434 - 472359\/56. What is the common denominator of c and 20\/12*(-18)\/(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**3*m)\/m*m*(m*m\/m**(4\/5))\/m*m)**24 assuming m is positive.\nAnswer: m**(744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61799, 61806, 61809, 61808, 61803?\n\"Answer: -2*y**2 + 13*y + 61788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/140)\/((-2)\/20). Factor 0 + 0*a - 2\/21*a**4 - 2\/7*a**j + 8\/21*a**3.\nAnswer: -2*a**2*(a - 3)*(a - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*a - 2*a - 17*a)*(0 - a**2 + 0) + 0*a**3 - a**3 + 0*a**3.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*v - 338, 3*b - 333 = -0*v - 3*v. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 + (-9)\/(-39)). Let o = p - -19\/26. Let z = 4.6 + 0.4. Which is the closest to -0.1? (a) z (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -35, 1532, 8.\nAnswer: -35, 8, 64, 1532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77690897 to four decimal places.\nAnswer: 0.7769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 51 - 86. Let q(h) = -38*h**3 - 2*h**2 + 2*h - 2. Let x be q(-3). Suppose -p*a = 3*a - x. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45920 = -39*j + 44711 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 1. Let c(l) be the second derivative of l**6\/720 - 5*l**4 - 18*l. Let b(q) be the third derivative of c(q). Give -7*b(n) - 3*i(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:55 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 107*w**2 - 3*w + 26. Let t be k(12). Is t + -7*(-21)\/49 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 2154 = 566*x - 96*x + 667*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 - 10*a. Let i(y) = 98*y**2. What is w(i(p))?\nAnswer: -57624*p**4 - 980*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -11059\nAnswer: -331770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from tttttotttootto.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155698051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3929 + 5*t**2 + 3929.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*r = 30, 4*j + 9 + 32 = -3*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.56 in 0.2, -3\/20, -3?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 29*c**5\/60 + 4*c**2. Let s(r) = r**2. What is s(b(u))?\nAnswer: 841*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777638 divided by 137?\nAnswer: 27574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*n**3*u**3 - 73*n**3*u**2 - 310*n**3 + 5*n**2*u - 6*n**2 + 162*n*u**3 - 169*u**3 wrt n.\nAnswer: 180*u**3 - 438*u**2 - 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - -5. Let f be ((-59)\/3)\/(1 + 8\/(-6)). Let r = -46 + f. What is the remainder when n is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 4 + 140 + 310 - 4*n**2.\nAnswer: -4*n**2 + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 915 and 1395?\nAnswer: 85095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 166463 = 2*v - 166431, 2*v + 7*u + 54 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-28) - 1)*(-54)\/135.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -12. Suppose -12 = 3*v + 4*u, s*v = 2*u - 8 - 4. Let p = 3 - v. Solve 2*z + 1 = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112)\/(-176) + (-20)\/(-55). Which is the third biggest value? (a) -4\/3 (b) p (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1937\/310 + -1\/620. What is the common denominator of 27\/85 and h?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -17*r + 93392. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3 + 1129558*y**2 + 49703456*y + 546748664 = 0.\nAnswer: -22, 564823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*p - 3450 = -78*p. Calculate the remainder when 266 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - -34) + 6 + 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 563 - 203. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*z + 3*z**4 - 22 - 70 - 2*z**4 + 57*z wrt z.\nAnswer: 4*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*r - 99*r - 192 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 5 = -b + 220 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let f(n) = -252*n. Determine f(z(l)).\nAnswer: -756*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, -0.5, 4 in ascending order.\nAnswer: -0.5, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let m(j) = -j. Let i(c) = -14*m(c) + 4*p(c). Let n(b) be the first derivative of -4*b**3\/3 - 7062. Calculate i(n(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 - 14. Let r = 0.34311 - -0.15689. Which is the closest to 0.1? (a) y (b) -38 (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5\/22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 7*v - 41)*(-2*v - 2*v + 0*v)*(-2*v**3 - 5*v**3 + 5*v**3).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -14*s + 100. Let p be y(7). Solve a - p*a = 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136110 is divided by 2834.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.98 + 0.02. Let i = -0.06 - -1.06. Let p = q - i. Which is smaller: -0.3 or p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c = 117. Let x be (3 - 5) + c\/1. Let j = x + 2. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/1 - -21)\/(-1 + -1). Let x(z) = -17*z - 19. What are the prime factors of x(q)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmflllrlkfbb. What is prob of picking 1 b and 2 l?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {y: 2, n: 9, g: 5}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 3395 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2148347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2308)\/25965*10\/(-4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let y(c) = -2*c**3 + 3*c**2. Let a(r) = 7*r + 58. Let v be a(-8). Calculate v*y(s) + 6*n(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 43 = -4*w + 123, 3*p - 5*w = 70. Calculate the lowest common multiple of p and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 41*v - 154. Let x be r(39). Let p = -42 - x. Let c be (-2)\/(2*1\/(-17)). Calculate the highest common divisor of c and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from daddddadddd.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 219 - -4*2\/(-4). Suppose 3*l - 173 - p = 0. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7163469, -57308053, -193414781, -458464725, -895438957?\n\"Answer: -7163512*s**3 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 306 - 84 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21245 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-9)*3\/12. Suppose -f - h = 3*h + 17, -h - 20 = -5*f. Suppose -c + 4 = f*c. Do q and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*j - 411*j + 1 - j**2 + 0*j**2 - 1.\nAnswer: -j**2 - 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -51374+1\nAnswer: -51373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 3 - 1*-3. Let i be (5\/(-30))\/(2\/s). Which is the nearest to -0.3? (a) 0 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 3516 + 684 = 0. What is the least common multiple of t and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*d - 4, 0 = -3*d - 0*d + 9. Let m be ((-5)\/(-2))\/(1\/i). Suppose 10*l + l = 44. Sort -4, l, m in ascending order.\nAnswer: -4, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496 divided by 31\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -80. Suppose -3*v + 34 - 6 = -4*o, 0 = 3*v + c*o. Solve -6*i + 2*i = -4*h + 16, v*h - 17 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.21069 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616887874 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009696471 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 1}. Give prob of picking 3 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.7 + 39.63. Let t = a - -0.07. Let y = 2.7 - t. What is the second smallest value in -5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77447*g + 77102?\nAnswer: -77447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y + 326. Let l be c(0). Let m be (l\/(-4))\/((-2)\/4). Suppose -2*f + m - 53 = 0. What is f rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4432122022 + -2?\nAnswer: 4432122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1179.00659 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*c + 2426 = 0, 2308 = 4*r + c - 178. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195\/13*(-2)\/(-3) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25125505 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -4\/9 (b) -2\/5 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*63*(-60)\/45540*-253?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678147857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -10\/9 (c) -380\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 12*h = -20*h. What is the nearest to h in -9, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:10 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 235*l. Let y(u) = 102*u + 1. Calculate y(k(o)).\nAnswer: 23970*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:10 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 7*g + 2. Let w(j) = j**2 - 2*j. Let s(m) = c(m) + 5*w(m). Factor s(b).\nAnswer: (b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 190 = -8*l. Let t(z) = 123*z + 950. Let f be t(-7). Suppose -f + l = -x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/60 - n**4\/24 + 4*n**3\/3 + 20*n**2 - 47*n. Let k(r) = -r**2 - 3*r. Let g be k(-3). Suppose -3*c = -g*c. Give q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsqx when four letters picked without replacement from xlslxxq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93548?\nAnswer: 2, 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Let r = -4395 + 4399. What is the nearest to f in r, -7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = q + 4769*i - 4771*i - 4 - 10, 2*q + 7*i = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133015*w**4 - 249*w - 46 wrt w?\nAnswer: -1596180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1)*38\/95. What is the nearest to 0 in 3, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/6916*52\/12.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5938818?\nAnswer: 2, 3, 989803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 11*s**2 - 96*s + 33. What are the prime factors of w(21)?\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Let g(j) = -j**3 - 5*j**2 - 5*j - 1. Let t be g(-4). Solve h = -u + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 0 - 7 + 7 + 6*r + 0 + 2. Calculate b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 144\/1765 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l - 403 + 383 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 191.9625s?\nAnswer: 3.199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/5 + (-2)\/10. Suppose d - r - 9 = -4*h, -11 = -h - 3*d. Round h to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -43?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9529 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7977691 times -15?\nAnswer: 119665365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 80 + 44 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 294 - 61 = 0. Let p = 139 + c. Find the first derivative of p*l - 68*l - 17 + 7*l**2 wrt l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 95050*y**2 - 285185*y - 190130 = 0. Calculate y.\nAnswer: -2, -1, 19013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*2*4\/(-4). Let d = f + 23. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81204 a multiple of 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d - 5*d**2 + 0*d**6 + 0 + 0*d**4 + 1\/30*d**7 + 0*d**3 - 7\/60*d**5. Find the third derivative of t(q) wrt q.\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55681362 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16 + 1702\/(-4144).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6964834 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*d - 6*d + 135, 180 = 4*r + 5*d. What is the remainder when r is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 7456?\nAnswer: 109\/7456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60435617 a multiple of 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502397 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*q**2)*(-8 + 3 + 4 + 3*q**2).\nAnswer: 9*q**4 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 41414*w**3 - 5*w**2 + 15*w - 21. Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/201, -64, 5 in descending order.\nAnswer: 5, -2\/201, -12, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*q - 96990, -24*g + 24249 = q - 25*g. Is (-78)\/663 + q\/34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p + 527*p**2 - 251*p**2 - 249*p**2 as v + m*p + q*p**2 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10379 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:22 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 13683, 0.02 in ascending order.\nAnswer: 0.02, 1\/4, 13683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2*i. Suppose -10 + 2 = -i*s. Let j be 0*(-9 - (-106)\/12). Solve 4 = -s*n, 4 = -h - j*n - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 269516618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -16) + 79 + -102\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*g - 16, 106*g - 101*g + 23 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose 0 - p = -t. Solve 4*j - 12 = t*w + 13, 0 = j + 2*w + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:55 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1630 - -1629. Is -298 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 35 = 3*o, -1129*o - 126 = -1130*o - 37*b - 423 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 25*k - 18*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + 164. Suppose -11*j + 5*j = -m. Let x = 4 + 5. Calculate the highest common factor of x and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 - 270. Suppose -b - 9 = -5*t, 5*t + 28*b - f*b = 8. What is the fourth smallest value in -17, t, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 962 and 340?\nAnswer: 163540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 81*y**2 + 4*y + 3. Let l(t) = 84*t**2 + 6*t + 3. Calculate 3*j(x) - 2*l(x).\nAnswer: 75*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 951 - 541. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 18. Let n be ((-15)\/6)\/(3\/g). Suppose 1 = n*i - 4. Is i at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31.36 in 0, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -0.2349, -3\/5, -2.\nAnswer: -2, -3\/5, -0.2349, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(1 - (-2 - -2)). Let j be 13\/(q\/4*1). Let r = j - -17. Solve -r*u - u = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 5. Suppose 5*s - 22 = x, -5*s + 2*x = -37 + 13. Let l be 7\/((-35)\/(-60)) - (-1 - -2). Let t(q) = -6*q**2 + 14. Give l*k(a) + s*t(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26541768193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.56001 + -0.96001. Let q(w) = w**3 + 8*w**2 + 4*w + 9. Let u be q(-6). Which is the second biggest value? (a) u (b) -5 (c) 2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8*z. Let h be y(8). Let s = 68 + -63. Solve h*x + 25 = -s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = -4. Let r be l\/((-1)\/(32\/(-1))). Suppose 0 = 4*q - 2*u - r, q + 2*q - 2*u - 50 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435013 or 435004?\nAnswer: 435004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*((-4 + -1 + sqrt(19) - sqrt(19))*3 + (sqrt(2299) - (-1 + sqrt(2299))) + sqrt(2299) + -1))**2.\nAnswer: -11880*sqrt(19) + 90865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -33. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.22 plus 641048766?\nAnswer: 641048779.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212439 is divided by 582.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*-5 + sqrt(91))\/(-4*2*sqrt(7) - sqrt(7)).\nAnswer: -11*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**6 - t**5 + 58*t**4 + 50*t**2 - 58*t**4 wrt t.\nAnswer: -840*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:29 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y. Let o(a) = 5*a. Let j(q) = 2*o(q) - 3*r(q). Let p(c) = 2*c**2. Calculate p(j(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 7:39 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 6*a + 9. Let r be j(-9). Let m(n) = -n - 5. Let y be m(-9). What are the prime factors of (-800)\/(-45) - y\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 1, 16, -5 in decreasing order.\nAnswer: 16, 2, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17452343 and 5.\nAnswer: 0.87261715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -13, -1, 23, 59, 107, 167?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(2\/(-28)). Let n(m) be the second derivative of m**4\/6 - m**3\/3 + m**2\/2 - 31*m + 16. What is the tens digit of n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 13*o**3\/7 - o**2\/7 + 13*o\/7 - 6\/7 = 0 for o.\nAnswer: -1, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 834283749 to the power of 1\/2, to the nearest integer?\nAnswer: 28884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3846827905 + -0.3.\nAnswer: 3846827904.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 - a - 2. Let w be r(4). Let g = -83 + w. Put -3, -5, g in ascending order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33384077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, u: 1, h: 1, k: 2}. What is prob of picking 1 k and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-1 + -2 + 2). Suppose o*b = -0*b. Solve 0*t - 5*t - 15 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 3, y: 2, s: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -dde92 (base 16) to base 4\nAnswer: -3131322102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40220441 + -1?\nAnswer: -40220442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21699\/3496 - -2\/1311. Calculate the common denominator of 119\/6 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 3*o - 6. What is l(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277.73 + 276. Let q = g + 1.73000107. Round q to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -43\/2607796 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4419094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3 - 15*n**2 - 3*n + 15 = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-1411)\/31042?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x + 2*i - 6, -5*x + 12 = i. Let y = 10 + -6. Is y at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, y: 9}. Give prob of sequence dd.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-16)\/56 + (-40)\/(-42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 - -1) + -2. Let v(w) = -4*w - 6. Let n be v(-4). Let s = -6 + n. Sort c, s, -5 in descending order.\nAnswer: s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - 10\/(-25))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 65 = 8*y. Suppose -5*f = -y*g + 895, -4*g + 3*f = 6*f - 751. Calculate the highest common divisor of 138 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*q**2 - 5*q*r**3 + 2*r**3 - 248*r**2 wrt q?\nAnswer: -118*q - 5*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837151309 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -5 (c) 5 (d) -97\/3 (e) -28 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 13 = -g + 5, -3*p - 14*g = -9*g + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3159 - -0.2.\nAnswer: 0.5159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/25042 and -41\/66006?\nAnswer: 43497954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/40 - w**5\/15 - w**4\/12 + 8*w**3\/3 + 26*w**2. What is the tens digit of d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84695.365 - -6538.\nAnswer: 91233.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 317 (b) -0.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 5*q**2\/2 - 146. Let t(k) = -k**2 + k**2 - k**2. What is t(o(g))?\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + b + 4. Let v be h(-2). Suppose 0 = v*a + s + 15, 3*a + 5*s + 34 = -6. Let n(d) = 2*d**2 - 6. What is the units digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 31, 8, -1238, -0.4, 1\/6, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x*x\/((x\/(x\/(x*x**5\/x)))\/x)*(x**(-1\/3))**(2\/49))**(-14\/11) assuming x is positive.\nAnswer: x**(2356\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -12\/1321, -0.798?\nAnswer: -0.798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 86. Calculate the remainder when -1 + -7 + (149 - 18\/(-1)) is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 504, 562, 658, 792, 964, 1174?\n\"Answer: 19*r**2 + r + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 11. Let w = 7 + -16. Let p be i(w). Suppose r - p*r = 0. Is 2\/7 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39402 + 39402 + 112*c to the form o*c + i and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdaa when four letters picked without replacement from {i: 4, a: 5, o: 1, d: 2, g: 2}.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 34, 48, 58?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 8*k**2 - k + 5. Let z be y(8). Let s(b) = b**3 + 3*b**2. Let w be s(z). Solve 0 = -4*j - 4*t, -j + 0*j + 2*t + 9 = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 4*n + 4. Let b be q(-2). Suppose -5*j + 4*j + 2 = b. Suppose 0 = -5*a - 2*x + 132, a + 2*a = j*x + 76. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:59 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 129 = -135*h + 60*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31384 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2927 + -2918. Calculate the highest common divisor of 4743 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:03 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 1791, 4053, 7231, 11331?\nAnswer: 16359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (8 - -17) - 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-86)\/8)\/(18\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/5 - 380*v**3 + 848624*v**2\/5 - 3363968*v\/5 = 0.\nAnswer: -1282, 0, 4, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0\/z**(-1\/8))\/((z\/((z**(-2\/3)\/z)\/z))\/(z*z**(-2\/5))))**(-1\/27))**45 assuming z is positive.\nAnswer: z**(353\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 18. Which is smaller: y or -9\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2\/2 - 9*c - 21. Let w be 9*6\/(-18)*33\/(-9). Calculate t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4087942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 22 = 2*o - w, 5*o - 4*w + 38 = 0. Which is smaller: 2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004406012 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 176753359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*38 - -8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0. Let p = h + -0.01. Let x = -0.23 - p. What is the second smallest value in 1, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9240155 to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 17*u**5 - 3*u**4 - u**4 + (-u - 3 + 3)*(u**4 - u + u) + 2*u**5 + 2*u**5 - 5*u**5 + 0*u**3 - 2*u**5 + 0*u**3.\nAnswer: 13*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2334954640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 - 14*t**4 + 33*t**3 + 34*t**2 - 8*t = 0. Calculate t.\nAnswer: -4, -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30874 (base 14) to base 15.\nAnswer: 24998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t + t. Suppose 5*l - 2*f = 46, 0 = -4*l + f + 16 + 19. Suppose -t = -3*n + l. Solve 2*z + n + 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -1\/5983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose -z*n = -t - 6*n - 32, 3*t = 5*n - 26. Let h = -6 - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -315042276?\nAnswer: 315042273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = -8. Suppose 4 = -3*h + y*h. Suppose h*q - 2*q - 42 = 0. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-24) + 0 + (-501)\/(-228)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b + f + 68 + 11, b + 5*f + 0 = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*-24*2\/(-1008).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030 > 4029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 710468*y - 10.\nAnswer: 710468*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 - i + 1. Suppose -31 - 65 = -4*b. Let a = b - 25. Let p(m) = m**3 - m**2 - 5*m + 3. Determine a*p(w) + 3*c(w).\nAnswer: 2*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-2 - 4\/(-2)). Let u = b - -24. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 102379.4um?\nAnswer: 0.0001023794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 0.1 (c) 957 (d) 10\/309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191530 (base 10) to base 15.\nAnswer: -3bb3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b)**(-7\/2)*(b\/b**0)**(-24)*(((b*b\/b**0*b)\/b)\/b)**(-5)*(((b\/(b**(-1)*b))\/b)\/b)**(-8) assuming b is positive.\nAnswer: b**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 178*y - 9. Let c(a) = 179*a - 11. What is -6*c(q) + 7*m(q)?\nAnswer: 172*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -290 and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12890311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -65875.1 to the nearest 100.\nAnswer: -65900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 182 and 5?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-7) + (-16)\/(-56). Let z = -11 + t. What is the remainder when (-2)\/8 - 42\/(-8) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121 is divided by 233.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 9*y - 12, 8*y + 12*a - 18 = 9*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2316166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:47 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(6 - (4 - 0)). Let l(h) = 2*h**2 + 3*h + 1. Let j(y) = -2*y**2 - 3*y - 1. Let x(u) = -3*j(u) - 4*l(u). Determine x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + a**4 + 558751*a**2 - 279365*a**2 - 5 + 2*a**3 - 279371*a**2 to the form d*a + m*a**3 + j*a**2 + r*a**4 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31*-5936.553\nAnswer: 184033.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1701694539 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:14 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + (-135 - -291) + (22 - (2 + 0)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 3. Let y be p(1). What is the highest common factor of 250 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 25*g**2 + 29*g + 24. Calculate h(26).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 83, -3, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/3 - 30*h + 71. Let s(n) be the second derivative of 7*n**4\/12 - 3*n**2\/2 - n. Give r(s(b)).\nAnswer: -14*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*t**3 + 28*f**2*t**2 - 231*f**2 with respect to t.\nAnswer: -3*f**2*t**2 + 56*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:24 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 + 1029*l**3 - 8412*l**2 + 4356*l + 50544 = 0?\nAnswer: -351, -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrzgggrgrrzr. Give prob of sequence zggr.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, -1\/3, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/479304 and 109\/42.\nAnswer: 479304","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, 1 f, and 1 a when four letters picked without replacement from {r: 2, a: 1, f: 3, n: 8, e: 1, t: 1}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57678\/5 + 11535. What is the second biggest value in -5\/38, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9852802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**8\/140 - q**7\/350 - 9*q**2 + 8. Let g(n) be the second derivative of i(n). Solve g(j) = 0 for j.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(243 - 246). Let b(c) = 4*c + 6. Give b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 53, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 6. Let c be ((-20)\/70 + (-13)\/(-21))*0. Suppose c = -5*d - u, -3*d - 2*u = -u. Calculate r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 2*a**4 + (a**2 - a**2 + 2*a**2)*(-2*a**2 - a**2 + 5*a**2) - 10*a + 10*a - 10*a**4.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and (2\/4*-4)\/(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 13*q + 4. Let f be o(-9). Suppose 14 = -3*a - 4. Let z be f\/a*(-3255)\/14. Round z to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*f + 184*f = -978 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 18287.561082735.\nAnswer: -18288.061082735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*g + 39, -3*r + 4*r - 2*g - 20 = 0. Suppose 2*x = 5*x - 159. Calculate the remainder when x is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 1378*z + 16680. Let x be f(-12). Suppose 2*k**4 - 36\/5*k + 2\/5*k**5 - 42\/5*k**2 + 2\/5*k**3 + x = 0. What is k?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -2.6 (c) -3 (d) 7 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240476*-2.\nAnswer: -480952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r. Let f be q(1). Is 503 - (f - (-3 + -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:45 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/759519, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 13. Let w(j) = -8*j - 11. Calculate -5*l(n) + 4*w(n).\nAnswer: -2*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55236109 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 17*v + 12. Let k(w) be the first derivative of 3*w**2\/2 + w - 196. Let x(q) = f(q) - 3*k(q). Solve x(j) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.88+0.3\nAnswer: 30.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:41 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0*c**3 - 2 + 0*c**3 + c + c**2 - c**3 + 3. What is v(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010100010001001 (base 2) to base 14.\nAnswer: 476c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 168, 179?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4722 = -0*u - 4*g, 5*u = 2*g + 4704. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-30)*(1 - 4). Sort -0.2, l, 3.\nAnswer: l, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030341569 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 940\/8*36\/90?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291308*z**6 - 110662*z**2 wrt z?\nAnswer: 34956960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -552, -980, -1494, -2118, -2876?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f - 24*f - 28*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 3, g: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-1 - -1 - (13 + -23))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 27 + 11 - 27*f + 7.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5203.4 + -4331. Let m = x - 872. Which is the smallest value? (a) -0.07 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)\/s**1)**8)**(-13\/2) assuming s is positive.\nAnswer: s**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(684))**2 - (sqrt(209) - (sqrt(209) - -3*sqrt(209)))\/sqrt(11)) + -5)*5.\nAnswer: 15*sqrt(19) + 54695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -396 - 90. What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20130 - 2024201?\nAnswer: -2004021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**8\/1092 + u**7\/105 - 3*u**6\/260 - u**5\/30 + 7*u**4\/156 - u**2 + 20. Find x such that k(x) = 0.\nAnswer: -7, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j + 53*j - 3 - 104*j.\nAnswer: 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:35 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55958*m**2 - 153449*m wrt m.\nAnswer: 111916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pddp when four letters picked without replacement from {d: 4, p: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*n*q**2 - g**3*n*q + 196*g**3*n - 2*g**2*n*q**2 + 8*g**2*n*q + 8*g*n*q + q**2 + q wrt g.\nAnswer: 24*n*q**2 - 6*n*q + 1176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-387)\/4 + (-2)\/8. Let z = 104 + t. Solve -h - z*k = -3*k - 13, -15 = -5*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:53 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*n + 17*n + 147*n - 22*n in the form m*n + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, -6946, -69, -8 in increasing order.\nAnswer: -6946, -69, -8, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 3*t - t)*(11*t + 2*t**2 - 10*t**3 - 11*t) in the form k*t**4 + o*t**3 + j*t**2 + i*t + h and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1661\/8 + -207. Is 2 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 7*y - 3*y - 10*y + 5*y.\nAnswer: -y - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 158\/(-420)*(-53)\/(-3). Let q = j + 62\/105. Calculate the common denominator of q and 1*-2 + (-237)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*g + 173*g + 29 = 0. Sort 3, g, -5, 6, 4 in increasing order.\nAnswer: -5, g, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 584 + 5*q**3 - 287 + 4*q + 4*q**2 - 3*q**3 - q**3 - 293. Let j(h) = h**2 + h + 1. Calculate -4*j(o) + w(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43205156 is divided by 537.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0315502 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80072.76 months in millennia?\nAnswer: 6.67273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.867 and 4038.27946.\nAnswer: 4023.41246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4*v - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2891 - 2919. Let s = -917 + 32093\/35. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 207\/2, -0.1, 4 in decreasing order.\nAnswer: 207\/2, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*g = 7*g - 29, 0 = b - g + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3 - 1542*j**2 + 61845*j - 597816 = 0.\nAnswer: -552, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52135, -208531, -469191, -834115, -1303303?\nAnswer: -1876755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 5 (b) -7 (c) 4 (d) -1 (e) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-6) + (-2564)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.6 (b) -1 (c) -4 (d) -1\/2 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18)*-2*2115\/(-104340)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r = -46*r + 69205 - 66689 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + 2*(sqrt(80) - (1 + sqrt(80))*-5) + (sqrt(80) + 0 + 3)*-1)**2 + -3).\nAnswer: 792*sqrt(5) + 9758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by 3\nAnswer: 131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 2. Let s(v) = -6*v + 3. What is -3*q(w) + 2*s(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -107418.\nAnswer: -107417.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j + 3. Let q be c(17). Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 4. Suppose 10*u - 14 = 6. What is g(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0221 and -8.826.\nAnswer: -8.8039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8280 and 23598?\nAnswer: 471960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 4*w - 4*w. Let l(n) = 4*n**2 - 175 + 175. Calculate l(r(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let o(v) = -6*v + 5. Suppose 0 = -8*g + 4*g + 12. Let l(b) = g*q(b) - o(b). Differentiate l(n) with respect to n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-9))\/(-1))\/(7\/((-147)\/(-182)))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 88 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10824, 42932, 96324, 170994, 266936, 384144, 522612, 682334?\n\"Answer: -q**3 + 10648*q**2 + 171*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 3, 4, -2, -6, 5, 2 in increasing order.\nAnswer: -46, -6, -2, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) - (-1*sqrt(605) + -2).\nAnswer: 2 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 14*x + 12. Let g be d(5). Suppose k - g = -13. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*n + 253*n = 623*n + 6516 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 - 35 = 33*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, 76, 337, 754, 1321?\n\"Answer: -o**3 + 87*o**2 - 155*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462770 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -15. Let q = 3 + 2. Suppose 0 = -3*k - q*d + 42, -k + 3 = -2*d - 0*d. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 59 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 - -449?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 4*s - 4*j, 0 = -4*s + 2*j + j + 267. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 31*c + 64*c - 11.\nAnswer: 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.152994556 - 0.153. Round h to seven dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**7\/2520 + c**6\/1080 - c**5\/360 - c**4\/72 - c**3\/2 - 3*c. Let p(n) be the second derivative of s(n). Factor p(v).\nAnswer: (v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.33887 and 1787.\nAnswer: 1786.66113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 3.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-36)*(-60)\/56\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83792631.\nAnswer: 3, 13, 2148529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 + 20\/(-15). Let r(s) = -4*s**3 + 2*s**2 + 2*s + 1. Let p be r(z). Suppose 0 = -p*a + 70 + 95. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*t - 32, h + 3*t - 4 = 2*h. Let g be (-2286)\/(-5) - (-2)\/h - 4. Let d = g - -68. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, k: 3, m: 4}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -1\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + d - 29 = 0, 3*i - 9 = 3*d. Let l be (-82)\/i*(-22 - -18). Suppose -189 = -4*x - l. Round x to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47799.9 and 128980.\nAnswer: 176779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffffffzzffzffffffff.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237.964 - -238. Let p = l + -1.036. Which is the nearest to p? (a) 0.01 (b) 4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5364 and 71676.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/1400 - b**6\/600 + b**5\/100 + 2*b**3 - 12*b**2. Let v(r) be the first derivative of i(r). Let v(m) = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674 is divided by 1660?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - v - 264 = 0, 3*v + 330 = -3*r + 8*r. Let h = 10 + -30. Let i = h - -26. What is the highest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5958 by 6.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3228 and 1211307.\nAnswer: 4845228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 182 = -16*y - 13*y. Solve -y*t = -10*t + 32 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 9\/2 (c) 3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 6 - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.028 (b) -3\/2 (c) 4\/9 (d) 0.5 (e) -23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73549274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + -1 + sqrt(3))*-2)**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x + 8 = 0. Put 5, x, -5, -4 in decreasing order.\nAnswer: 5, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.39 (b) -5 (c) -1 (d) -32 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 67, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 884, -40.4, 7?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -71. Let x be 12\/y*-3*3. Solve 0 = -x*o - 8, 0 = -5*l + 2*o + 26 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/21)\/(10036\/156 - 40).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191.8 - -217.19. Let f = 0.61 + b. Let t = -23 + f. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2111?\nAnswer: 42220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1028 and 20?\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**5\/15 - u**4\/6 + 4*u**3\/9 + 7. Factor d(h).\nAnswer: -2*h**2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(2504\/4695)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/15)\/(6*(-7)\/35). Which is the closest to -2? (a) 1 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - o + 2)*(97130 - 16833 + 76054 + 69488 + 107012 - 44016) in the form m + c*o and give c.\nAnswer: -288835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 4 = -13*q. Let p(r) = -5*r**2 + r**2 + r**2 + q*r**2. Let x(j) be the first derivative of j**3 + 1. Determine x(p(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 52426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11975000 to the nearest 100000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -15. Let w(u) = u - 3. Let r be w(-7). Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gzhhzzgzggghzzghhhh?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2472, -2448, -2424, -2400, -2376, -2352?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 2*s - j = 18. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32490 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -261, -505, -711, -861, -937, -921?\n\"Answer: 3*c**3 + c**2 - 268*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98288.225 + -98287.17499939. Let u = 1.05 - j. Round u to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31424 - 14025. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.16 (b) -7092 (c) -4\/5 (d) -0.1 (e) -0.3 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggc when three letters picked without replacement from ccccgccgc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20452 (base 8) in base 2?\nAnswer: -10000100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -11 - (12 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w**2 + 6*w**2 + 0*w**2 + 4*w**2 + 13*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 - 8*v = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpgigr. Give prob of sequence mrmg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4761\/(-21528) - (126\/48 - 3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -12 + 9 - 13 - 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4527193 by 3.\nAnswer: 4527193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/180 - c**5\/20 - c**4\/6 - c**3\/3 + 3. Let v(w) be the third derivative of m(w). Factor v(d).\nAnswer: -2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 1b9?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56422 (b) 591 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 15. Let s be m(-7). Suppose -4*f - 4 = 0, f = 5*z + 2 - s. Let b(o) = 8*o**2 - 3*o + 1. What is the units digit of b(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/i**(-7)*(i\/(i**0\/i))**(3\/2) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702576 = -109*o + 41*o - 34*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n = -1646 - 4048 for n.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + 10 + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 7759*m**2 - 23664*m + 2934036.\nAnswer: (m - 7762)*(m - 18)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6771, 6772, 6773?\nAnswer: 6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -316, -0.2, 5, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 715\/527 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 724436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0*(12\/(-3) - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101000 - 1110110?\nAnswer: 1000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (-6 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -3*i**7\/70 + 7*i**4\/24 - 7*i**2\/2 - i. Let d(n) be the first derivative of t(n). Find the second derivative of d(f) wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*z = 26, 145*z - 174*z + 42 = 5*j - 26*z for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (-23 + -4) - 17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2848971655 divided by -5.\nAnswer: -569794331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/(-506))\/((-6)\/(-138)))\/((-3)\/(1875\/(-10))).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1348 - -1984. Let b be (-54 - -47) + 442*-1. Let j = b + a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1123529, 1123577, 1123701, 1123937, 1124321?\n\"Answer: 6*g**3 + 2*g**2 + 1123521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(2\/9)\/n*(n\/((n\/n**(-10\/3))\/n))\/n*n**17*n*n**17\/n*n assuming n is positive.\nAnswer: n**(287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2257 divided by 1990.\nAnswer: -2257\/1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.04672481 or -8?\nAnswer: -0.04672481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 + 3*b - 4. Let j be t(-4). Suppose j*i = -i + 2*g, -5*i + 5*g + 15 = 0. Let q(k) = -k**3 + 7*k**2 - 3*k - 5. Calculate q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 42652504*a + 227404512183752.\nAnswer: 2*(a + 10663126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**2 - 3*j**2 - 8*j**2 + (6*j - 2*j + 3*j)*(-5*j + j + j) + (4 - 4 - 2)*(-4*j**2 + j**2 + 4*j**2) in the form o + y*j + z*j**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.01 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 133623435.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -26. Let x = w + -7. What is the greatest common divisor of 30 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011101001110000 (base 2) to base 15\nAnswer: -e21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/(-54))\/((-120)\/(-18) - 6))\/76?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 528*h**2 + 5*h - 7. Let i be p(-5). Suppose y + i = -30832. What is y rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Let d be 38\/14 - (-2)\/7. What is the derivative of -2 - d*y**2 + 1 + o*y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58530857983*u**3 + 58530857985*u**3 - 117061715974*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-224)\/12 + 0)*(-14)\/112*30. Calculate the highest common factor of s and 24430.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4\/8*0. Which is smaller: j or 3\/104?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 14877*l\/2 + 45061660\/3.\nAnswer: (l + 2120)*(l + 42511)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9410*j - 9400. Give h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 63. Let u be v(0). Let k be u\/4 - 1\/4. Let y = k + 32. Solve w + y = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201.1447 + 201.5. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let d(q) = -6*q**2 - 2. Let k(v) = -d(v) + 3*g(v). Let y(i) = 5*i**2 + 2*i + 2. What is -3*k(u) + 4*y(u)?\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 29*o**5 + 9*o**3 + 73*o + 9. Let a(u) = 7*u**5 + 2*u**3 + 18*u + 2. Let p(k) = -9*a(k) + 2*r(k). Find the second derivative of p(i) wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-15) + (-35)\/175?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -991 and 578722?\nAnswer: 579713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jjjjjjjnjjjjj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/12 - d**3\/6 - d**2\/2 - 4*d. Let u be o(3). Solve -4*p - 2*h = 4, -2 - 8 = 3*p + u*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 9450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -918 and 4.\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunuuunuuuuu. Give prob of sequence uun.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036*-55.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x. Let y(f) = f. Let w(u) = -t(u) - 6*y(u). Let z(m) = -6*m + 21. Determine z(w(b)).\nAnswer: 12*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 344*q**2 - 285*q - 20706. Determine i(345).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 - 22. Suppose f - s = 426, -3*s + 1308 = -2*f + 5*f. Let h(y) = f - 431 + 0*y - y. Give h(d(g)).\nAnswer: -5*g**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s - 8. Let j(i) = 73*i + 13. Give j(q) + 5*n(q).\nAnswer: 43*q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 times 18?\nAnswer: 1.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -32 - 16. Suppose 8905 = -3*s + 2*c + 102513, -4*c = -a. Is 16\/168 - s\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45895859566.8132991 - 45856261304.8133. Let l = -39598257 + m. Let x = -5 + l. What is x rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 459754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/15*0)\/(7 + -8 + -1). Let r(x) = 3 + 0*x + 3*x - 2*x. Determine r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.091156 months in years?\nAnswer: 1.924263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 43*v**2 + 229*v + 30. Determine c(7).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + (5 - 2) - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:21 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 16*u**2 + 42*u + 36.\nAnswer: 2*(u + 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16268047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 750 = -110. Let f(y) = -y**2 - 14*y + 30. What is the remainder when r is divided by f(-13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.84 - -0.74. Which is the nearest to -0.2? (a) -0.02 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*v - 479*v = -208430 for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2710\/7, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/47)*p**(-13)*((p*p*(p\/(p*p\/((p\/(p\/(p**31*p*p)))\/p*p)))\/p)\/p)\/p**(2\/5) assuming p is positive.\nAnswer: p**(4366\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u - 180*u = 1166 - 374 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/14)\/(630\/(-490) + 80\/70)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*j - 17 = -147*j - p, 3*j + 39 = 6*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-10)*(-10 - 0). Let i(w) = -4*w. Let d(p) = p - 1. Let r(k) = -2*d(k) - i(k). Let n be r(11). Calculate the highest common factor of f and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 102*n**2 + 19*n - 10. Let z be u(-3). What is the highest common factor of z and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/13, 117, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 423*b + 1108 - 6184 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2) + 0)*-6 + (sqrt(200) + 1)*1)**2 + ((sqrt(112)\/sqrt(2))\/sqrt(7) + 2)**2*-6.\nAnswer: -184*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 - -248.6. Let t = 1 + -1. Is d != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*c + 226. Let q = c - 112. Let l = q + 81. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 + 50*r - 160)*(2 - 1 + 2) - 1 + 1 + 2*r.\nAnswer: 152*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.91? (a) -2\/9 (b) -2\/965 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/55 - (-106)\/5. Let h = -18 + m. Factor -s**4 + 4*s**2 + 1 - 7\/2*s - s**h + 1\/2*s**5.\nAnswer: (s - 1)**4*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054024851 rounded to 4 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {r: 6, e: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/7)\/(-2 - 0). Solve o - 5 = -a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/(-273) - 25\/(-42))*86. Is -2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835675209?\nAnswer: 3, 92852801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749274309 to the power of 1\/2, to the nearest integer?\nAnswer: 41824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 489411649 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2454699, -4909418, -7364137, -9818856?\n\"Answer: -2454719*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-45)*(-1134)\/84?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - d - 6554004 = 0, -d = 4 - 0. What is v rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -113*n - 1389. Give b(-10).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 1. Suppose -4*j - v = u, -u + 68 = -3*j - 6*u. Let a = j + 25. Let m(g) = -5*g**2 - 6. Let b(s) = -11*s**2 - 13. Calculate a*b(c) - 9*m(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 4*q - 2 - 3*q as n + r*q and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhhwwhwhbhhbwb. What is prob of picking 4 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22454.\nAnswer: 2, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2215 (base 6) in base 14?\nAnswer: -28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8158 + 9940. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588 - -583. What is the biggest value in -39, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2051*l - 3313 wrt l?\nAnswer: -2051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*p + 2*p. Suppose -8 = -d + p. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -0.18 (c) -1 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261217 is divided by 1350.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-13 - (-4 + 4)) + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1095404525 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 14, l: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22345007*k**3*p + 12*k**2*p - 13085*k**2 + k*p - 3*k - 2*p + 2 wrt k.\nAnswer: 134070042*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 80*z**5\/11 + 4006*z**4\/11 + 8218*z**3\/11 - 10006*z**2\/11 - 2298*z\/11 = 0?\nAnswer: -383\/8, -3, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 408236 smaller than 407960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31479, -62957, -94435, -125913?\n\"Answer: -31478*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(l - 1 + 1)*(95*l + 55*l - 120*l).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t - 8*t + 36*t - 3287680. Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8594 is divided by 428?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000 + 100200?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-33)*(-18)\/(-4). Suppose 0 = -k - 0*k + 4. Which is the closest to 2? (a) -4 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23639149 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.21 - 9.91. Let v = -3.994 + -0.006. What is the third biggest value in 1, -5\/3, m, v?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 19*i - 36. What is o(18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*x - 50, 3*x + 25 = 3*c + x. Solve c*k - 5*m + 4*m = -8, -5*k = 2*m + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s - 5. Let k(u) = -2*u - 2. Let z(y) = -14*k(y) + 2*p(y). Let r be z(-1). Solve -j = r - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Suppose -120 = 2*s - c*d, 100 = -2*s - 3*d - 20. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 136, 151, 166, 181?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7639 = -164*n + 2391 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**2 - 1758*x**3 - 34*x**2.\nAnswer: -1758*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*r**4*s - 46311*r**3*s - s - 138891 wrt r?\nAnswer: -188*r**3*s - 138933*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000087149 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s + 34. Let n be t(4). Let i = 64 - n. What is the least common multiple of i and (-2)\/7 + (-153)\/(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 5\/6 - 2666\/(-516).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 + 2949825*s**2 - 435033551160*s - 11748056402160 = 0.\nAnswer: -27, 294996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*t - 1 - 8, -4*t - 3*b - 12 = 0. Is 34*46\/(-12)*t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -532, -529, -524, -517, -508?\n\"Answer: i**2 - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -11, -3, 0 in ascending order.\nAnswer: -12, -11, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9632 * 136.\nAnswer: -1309952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b + 3*b + b + 4*b**5 + 5*b**5 wrt b.\nAnswer: 180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(192\/576)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 - o + 4. Let y be l(0). Suppose -i = y*i. Suppose i = g + g - 422. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365949 is divided by 145.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 38 + 162. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.1 + -89.1. Let s = 1.4 - 2. What is the closest to 2 in s, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:28 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 9\/5, -40, -4, 2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1444)\/6137 - ((-41377)\/(-7140))\/(-23)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42691441 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622183.9 weeks to nanoseconds.\nAnswer: 376296822720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35175096*p**6 + 2*p**2 + 1505666*p wrt p.\nAnswer: 4221011520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 389358.9l?\nAnswer: 389358900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/60 + k**3\/6 + 2*k**2 - 6*k. Let c(l) be the first derivative of x(l). Give c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.2, -24\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333892685 and 4396.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + 15.38. Let z = l - 1.2. Let t = -10 + z. Which is the third biggest value? (a) t (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 65, 773\/8, 0.3, 0.5, -1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 2170834?\nAnswer: -2170825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 + 3*v**4 - 33*v**3 - 87*v**2 - 78*v - 24 = 0. What is v?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31)\/174 + 0\/(-1). Let j = m + 10\/29. Let w be (-1734)\/(-1445)*5\/51. What is the nearest to 0.1 in j, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 - 6*o - 2. Let d be x(6). Let z(i) = i**2 + 7*i + 5. Let s be z(-4). Let v be 8\/(-12)*3\/s. Which is bigger: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 153 (b) -23 (c) 2\/3897\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -3\/7, -38050, 4, -2\/13, 7, 2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llmm when four letters picked without replacement from mmmmmlml.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 - 26 = -3*s, 5*s = -2*t + 5. Suppose 0 = -s*o - 3*g + 147, 2*o - 172 + 58 = 2*g. Is 53 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 203491.11 months?\nAnswer: 169.575925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 258*t**2 + 515*t + 174. Calculate q(-131).\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = 27. Let s(b) = -48*b - 1. Let k be s(m). Suppose -k - 13 = -4*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -86, 1090, 2\/9, -0.3, 0.3, -1?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 25 = -v. Suppose -3*m = -4*z - 7, z + 0 - 4 = -v*m. Suppose m = 4*o - 3*o, -a - 4*o = -27. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 2*s + 3. Calculate d(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1993 - -0.2007. What is the second biggest value in -0.3, -2\/31, u, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 29 = w - 3*x, -x = -5*w + 97. Does 104 divide 6\/3*(-22)\/w*-785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 9*t + 13. Let q be c(-8). Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r = 191*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -285*3\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(2*(-2)\/8). Suppose -3*s + 701 = 5*y, q*s - 3*y = 12*s - 942. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 4*y. Suppose 20*i = -3*z + 25*i + 15, 5 = z + 3*i. Let v(a) = -a**3 - 5*a**2 - 5*a. Give z*g(d) + 4*v(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 11*i\/3 - 4.\nAnswer: (i - 12)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5*m**6\/6 - 51*m**5 - 1120*m**4 - 25480*m**3\/3 + 41160*m**2 + 960400*m + 2167. Factor f(t).\nAnswer: -5*(t - 5)*(t + 14)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3)\/((-1)\/2*4). Suppose -5*v = -3*i - 113, s = 3*v + 3*i - 53 - 10. Suppose 2*r + 2*r - 132 = 0. Calculate the greatest common divisor of r and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 723, 729, 749, 789, 855?\n\"Answer: m**3 + m**2 - 4*m + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 1099\/10. What is the second smallest value in y, 11\/2, -2\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9)\/(2\/(-12)). Let g(q) = 5 - u + 3*q + 3*q - 7*q. Let f(x) = x**2 + 2*x - 2. Let b be f(-4). Calculate g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12.35. Let u = 0.15 - j. Which is the closest to 2\/3? (a) u (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(5\/2)\/5. Let f = l + 3. Calculate the least common multiple of 1 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2 + 162*j + 2187 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 7. Let j be m(7). Suppose -a = -11 - 1. Let w be (-2)\/3 + 26\/a. What is the third biggest value in -2\/13, j, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4 + 38444*r**3 - 126*r**2 + 64314237*r?\nAnswer: 24*r**2 + 230664*r - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 372?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = -4*a. Suppose 203*p - 78 = 205*p. Is (-2)\/(9\/p*a\/(-366)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1176\/(-196) + (431 - 1) + (1 - 1). What is the greatest common divisor of 1643 and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2627300 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119338626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -387*19*(-38315)\/15. Let f = -35629479460\/1897 + h. Let t = f + -2\/271. Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 28*n**3 + 15*n**3 + 4*n**3 - 2 - 18*n**3 in the form g*n**2 + c*n + d + a*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 131, 110, 71, 8?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, c: 2}. What is prob of picking 1 w and 2 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -0*r. Suppose r*m = b - 3*b + 22, b = -3*m + 37. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**4. Let r(m) = 2*m**5 - 2*m**4 - 138*m**3 + 342*m**2 - 216*m. Let a(v) = 4*b(v) + r(v). Solve a(c) = 0 for c.\nAnswer: -12, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-5 - -7) + 0. Suppose 3*o - 12*v + 15*v - 30918 = 0, 2*o + s*v = 20617. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n + 16. List the prime factors of (-66)\/n*20\/15.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, g: 4}. What is prob of sequence gqgq?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -25. Suppose 3*o - 20 = 4*o + 5*r, 2*r = 2*o - 20. Suppose o*l - 180 = 2*l. What is the smallest common multiple of c and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(2\/9)*-1. Let a = 5 - l. What is the smallest common multiple of 5 and a\/49 + (-33)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27566.\nAnswer: 2, 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/19, 2\/13, -10\/7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(c**2 - c**2 - 2*c**2) + (c**2 + 6*c**2 - 3*c**2)*(3 + 10 - 5).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 11*w = 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exgel. What is prob of sequence ex?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 3 + sqrt(11) + 0 - (-1 + -1 + sqrt(11)))**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/2 (b) -1\/2 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let u = -0.5 - q. Let b = -30.5 + 30.5. Put 5, u, b in decreasing order.\nAnswer: 5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558 a factor of 8690524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185620471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 12680555584210?\nAnswer: 12680555584217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 90 = -3*w + n, -2*w + 2*n + 86 = 0. Suppose -w*q - 2735 = -52*q. What is the derivative of 7 - q*y**4 + 6 + 553*y**4 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.26819 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 17. Put 0, r, -3 in descending order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1714 - 22264\/13. What is the third smallest value in q, -2\/21, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 29*x**2 + 3127*x + 75680. Give f(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10100?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.3250953 - 12.2312. Let g = q + -0.094. Round g to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1066836 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 212\/8 - 6\/(-4). Suppose -6*t + 9*t = 2*r - 4, t + 12 = 2*r. What is the highest common divisor of r and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020314 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i + 5 = 0. Let l = 0 + i. Let g be 2\/l + 4\/10. Solve 4*a - 2*s + 4 = 0, g*s + 4*s = 2*a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*(-24)\/20. Which is the biggest value? (a) 4\/7 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3224968 decades?\nAnswer: 0.003224968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1*-2*1. Suppose 6 = p - 3*h, -5*p = m*h - 1 - 10. Let f = 9 - 5. Calculate the remainder when f is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -3. Let b(z) = 2*z + 7. Let p(l) = 3*l + 15. Let r(w) = 5*b(w) - 2*p(w). Let k(a) = -3*a - 4. Let j(y) = -3*k(y) - 2*r(y). Give j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 15*o**5\/4 - 39*o**4 + 495*o**3\/4 - 237*o**2\/2 + 30*o = 0.\nAnswer: 0, 2\/5, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2722 + 1054. Is 0 + -6 + -15 + r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/24 + t**2. Let l(p) = -5*p**2. Let w(o) = 6*o**2. Let c(h) = 4*l(h) + 3*w(h). What is c(y(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2 - 4*j - 4. Is r(-2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*v - i + 20, -5*v + 2*i - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 343297.8262086\nAnswer: 343298.8262086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = -3*t, -5*t + 12 = -z. Suppose 4*a = -b + 38 - 13, a = b + 5. Solve -a = t*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 26. Let b(r) = -81*r - 14. Let g be b(p). Suppose 0*m - 5*f - 281 = -3*m, -2*m - 5*f + g = 0. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4 - 4764*m**3 - 19257*m**2 + 243846*m - 429840 = 0?\nAnswer: -10, 3, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 36*n + 8. Let j be o(12). Let y be 1 + (-11)\/j + 13\/104. What is the closest to -2\/5 in y, -23, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llloool.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69 + 655*x**5 + 3*x**2 - 1313*x**5 - 205*x**6 + 658*x**5 wrt x?\nAnswer: -24600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 33 - (-3 + (6 - 48)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 8*k**6\/9 - 16*k**5\/5 + 13*k**4\/3 - 8*k**3\/3 + 2*k**2\/3 + 160. Factor f(q).\nAnswer: 4*q*(q - 1)**2*(2*q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**3 + 0*w**4 - 14*w**2 + 0 + 11*w - 9\/10*w**5. Differentiate x(v) wrt v.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1133 divided by -927.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3aa + 5?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/7)\/p*p)\/p)**29\/(p*p**(-1\/4)*p)**(-2\/5))\/((p**0*p)**(1\/9)\/(p**(-6)\/p*p*p\/(p**(-8)\/p))) assuming p is positive.\nAnswer: p**(-10159\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 381911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -55*v + 21. Let c be x(9). Let s = -306 - c. Is s a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179082349 to the nearest integer?\nAnswer: 13382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-22 - (-54 - -22))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 41 = 4*r - 2*r, 5*r = 5*m - 110. Suppose m = -5*d + 2*h, 41 = -d - 4*d - 4*h. Let g = d - -1. Let z(v) = v**2 + 3*v + 5. Determine z(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20070\/9 - 2\/3*-6. Suppose -3*b - 5*p + s = 0, 0*b + 3*p - 750 = -b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-7*2201\/(-994)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 2*i**2 + i + 1. Let f be z(-1). Suppose -f = 5*v - 51. Let s(y) = 6*y - 8. Let t be s(3). Are v and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-14) + 6)\/((-60)\/(-460)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:40 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 + 5*m**2 + 28*m.\nAnswer: -12*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/413920 and -19\/3040720?\nAnswer: 79058720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*w + 48*w - 111*w = -4077 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + d + 18, 0 = 3*f - 3*d - 9. Let t(y) = 4*y**3 + 5*y + 2. Let c(w) = -w**3 - w. What is f*c(b) + t(b)?\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.2 + -47.255. Which is the closest to 2? (a) -0.2 (b) g (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 9863062?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from zfznfffnnnnzo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12) - 4\/(-12))\/(-2). Solve -5*c + 4 = -4*t + 3, g = t - 5*c - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feee. What is prob of picking 3 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*n**4 + 23019*n**2 + 2350241 wrt n.\nAnswer: -156*n**3 + 46038*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 31. Let y be l(17). Suppose -h = -5*b, y*h = b - 3 + 17. Calculate the smallest common multiple of 6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8752.2 plus 0.4?\nAnswer: 8752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/2 - 78*d**2 + 1134*d - 1960 = 0.\nAnswer: 2, 14, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/182 and -7 + 60\/9 - (-140)\/(-264).\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1655 + 1165. What is i rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + w)*(10*w - 2*w**3 - 10*w) - 39*w**4 - 9*w**4 - 48*w**4 - 22*w**4 - 103*w**4.\nAnswer: -223*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589 + 2274 + 519 = -178*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 33, 42, 55, 72, 93, 118?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 2. Let d(i) = -2*i**2 + 17*i + 26. Let t(u) = d(u) - 4*q(u). Let j be t(-6). Solve -4*v = j*g - 20, -4*v + 4 + 9 = -3*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z - 10*z + 2 - 4*z**3 - 12*z in the form p + l*z + t*z**2 + q*z**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*m - 4, -2*v - 4*m + m = 4. Suppose -c + v + 1 = 2*o, 8 = 2*o + 2*c. Sort 0, o, 2, 4 in decreasing order.\nAnswer: 4, 2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 14*b**2 - 30*b + 23. Let g be j(-16). Let w(p) = p**2 + 10*p + 1. What is w(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i**(-1)*i\/(i*i*i**(-1)*i)*i**6\/i*(i*i\/(i**(-6)\/i))\/i*i\/i**(2\/11)*(i*i\/((i**0\/i)\/i)*i)**17 assuming i is positive.\nAnswer: i**(1131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -46*k**3 - 6*k**2 + 4*k + 6. Let h(c) = -45*c**3 - 5*c**2 + 3*c + 5. Determine 5*g(p) - 6*h(p).\nAnswer: 40*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4896 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2509 (b) 3 (c) 2\/21 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from hemeeehhhrhmehhhmeh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -30, 218307, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035839 rounded to six dps?\nAnswer: -0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0900050358 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14255657142 + 5?\nAnswer: 14255657147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-21)*((-268875)\/(-500))\/(-239).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p**2 + 87*p + 4. Let u(c) = 6*c**2 + 41*c + 2. What is -4*k(l) + 9*u(l)?\nAnswer: -2*l**2 + 21*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2\/19, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5676\/86 - 2\/1. Calculate the greatest common divisor of 416 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-135)*20 + (-290)\/(-126) + -1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -r. Let n(u) = -5 - 3*u**r - 11*u**2 + 5. Let o(m) = -2*m. Calculate o(n(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 7*v)*(0 + 0 + 2*v)*(1 + 0 + 0)*(6 - 4 - 4).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 2. Suppose -3*o + s - 12 = -0*o, 4*o + 5*s + 16 = 0. Let x be u(o). Calculate the highest common factor of x and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/6 (c) 7300256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 less than 7032\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06047 and 5.\nAnswer: 5.06047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135536 + -2?\nAnswer: 135534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 - 134. Let r(h) = -h**3 - 2*h**2 + h - 4. Let o be r(-3). Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37682 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5196.065 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1356731513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8192672 tonnes?\nAnswer: 819267200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2 - 2)*(336*u**2 + 349*u**2 - 606*u**2) - u**3 + 4*u - 3*u + 3*u**3.\nAnswer: 81*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1489428305 to the nearest integer?\nAnswer: 38593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k + 26. Let m be f(-4). What is the fourth smallest value in m, -2\/11, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 + m**3)*(2 - 6363*m - 319*m**2 - 39*m**2 + 6366*m).\nAnswer: -358*m**5 + 3*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/16309736 + -11330422530091\/3049920632. Let j = d + 3715. Do j and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 - 107*f + 15. Determine v(-11).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12093)\/(-6))\/(-12 - 200\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 99802.01ms?\nAnswer: 99802010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2145*z + 21. Suppose -3*u = 3*h + 3, -11 = -5*h - 3*u + 2*u. Let c be s(h). Let x = c + 89721\/14. Find the common denominator of -33\/26 and x.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1063, -2151, -3247, -4357, -5487, -6643?\n\"Answer: -s**3 + 2*s**2 - 1087*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 + 81. Let c = 25 - b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26163084 divided by 4.\nAnswer: 6540771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-176) + (-1280)\/(-2805). Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -2\/9 (c) 8927\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-42) - (0 - (-5734)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782322251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - z - 2430 = 0. Suppose 4*l + z = -q + 520, -q - l = -355. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:15 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10792921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(21\/(-6) - -2). Let q be 4\/(-6) - (-4)\/p. What is the units digit of (-92)\/12*-3 + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 - 120) + (-4 - 1) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 3*w**2 + 2*w - 1. Calculate the remainder when (-31)\/(8 + -2 + (-39)\/6) is divided by o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 8704?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*t**4 + 79*t**2 wrt t?\nAnswer: -4464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 321*m**2 + 6*m - 392*m**2 + 14*m - 85*m**2.\nAnswer: -798*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -28\/5*f**6 - 6*f**2 + 1\/6*f**3 - 98*f + 0 + 0*f**5 + 0*f**4. Find the second derivative of y(b) wrt b.\nAnswer: -2016*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -205, -2, -4, -34, 0 in descending order.\nAnswer: 0, -1, -2, -4, -34, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0)*(-3)\/6. Let j = h + -2. Let t be -6*5*(-1)\/(-5) - (-608)\/112. Which is the second smallest value? (a) j (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - (3 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -30*j**2 + 11*j + 4. Let h be i(0). Let t be (1\/2)\/(3\/42). Let u be (-1 + (-14)\/(-4))*2. Solve -t*a = -u*a + h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-162)\/72)\/((-2)\/15104). Suppose 4*z = z - 5*p + 16982, 0 = -3*z - 3*p + d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5168 - -5166. Which is the third smallest value? (a) -1 (b) 1\/6 (c) -0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 2*t - 16. Calculate y(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3743 or 4366?\nAnswer: 3743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 22*t**2 + 167*t + 654. Determine l(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44448 and -21.\nAnswer: -933408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21046714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5784 - -4200?\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5975280 is divided by 1493820.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-69)*(38\/(-4) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r + 4*t - 28, 2*r - 4*t - 2 = 0. Let n = -2 - 2. Is 11 a factor of 112\/r - n\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/12 + 4*t - 8. Let v(x) = 2*x - 47. Give m(v(a)).\nAnswer: -4*a**2 + 188*a - 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/145?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 13*q + 24. Let p be m(-11). Sort -2, p, 28.\nAnswer: -2, p, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-2 - -7))*2. Let j(p) be the third derivative of -1\/210*p**7 + 0 - 1\/12*p**4 + 0*p + 1\/60*p**s + p**2 + 1\/60*p**5 + 0*p**3. Factor j(r).\nAnswer: -r*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c1c7 (base 15) to base 12\nAnswer: -1b814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004817 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589757271 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 174*i + 33. Let c(a) = 11*a + 2. Let r(z) = 66*c(z) - 4*d(z). Let t(n) = -16*n - 16*n + 90*n - 25*n - 27*n. Determine 6*r(g) - 28*t(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1)*-2 - (sqrt(42)\/sqrt(2))\/sqrt(3).\nAnswer: -3*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -103, -151, -217, -301, -403?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q - 208 + 490 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w\/((w\/((w\/w**(1\/8))\/w))\/w))\/w)\/w*w*((w**(-8\/9)\/w)\/w)\/w assuming w is positive.\nAnswer: w**(-217\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 471 = 27. Suppose 0 = -2*l + t + 159, 3*l - 4*t - w = 2*l. Calculate the remainder when l is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39749 is divided by 250?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (264\/(-60))\/(16\/(-120)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 3*x**4 + x**4)*(5 + 0 - 3 + (-1 + 5 - 2)*(-1 + 3 - 1))*(-1 + 3 - 4).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:16 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449229*m**2 + 239647 wrt m.\nAnswer: 898458*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9904079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15 - (7 + 6 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**3\/9 + 13*b**2\/6 - 40*b\/3 - 19. Let i(c) = 0. Calculate c.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:19 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 35. Let n be (-94)\/(-8) - (-2)\/(-8)*w. List the prime factors of (n\/(-1))\/(3 + -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 5. Let q be y(-6). Let m = 5193 - 5194. Which is the closest to 0.1? (a) m (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:16 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:44 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 2)*(-7060*q + 10222*q + 17144*q) in the form u*q + x and give u.\nAnswer: -40612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 24. Calculate the remainder when 123 is divided by c(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (1 - -8 - (43 - 45))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -5*d. Find the first derivative of -h + 4*h + 1 - d wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1460 - -9) + (-12)\/(-2 - 0).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204)*-2 - sqrt(204)) + sqrt(204))\/(sqrt(12) - sqrt(432)*3).\nAnswer: 4*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-3)\/sqrt(7) + sqrt(396)*5 + 4 + -3.\nAnswer: 1 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 20*d**3 - 2*d**2 - d - 1. Calculate r(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -22, 3, -3 in descending order.\nAnswer: 3, 0, -3, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70769674 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807337616 to the nearest integer?\nAnswer: 28414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10314, -10342, -10386, -10452, -10546, -10674, -10842, -11056?\n\"Answer: -z**3 - 2*z**2 - 15*z - 10296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.226*-0.041\nAnswer: -0.050266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179663 = -2*p + 13*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1069, -6, -0.1, 33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-56)\/(-84) + 188\/6 + 0 and 6\/(-27) - (-652)\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e61c3 + -8b?\nAnswer: e6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1016433 by -3.\nAnswer: -338811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 162*k**3 - k**2 + 2*k - 1. Let l be d(1). Suppose -14*c + 15 + 27 = 0. Suppose -c*t + 9 = -45. Calculate the highest common divisor of t and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -2565478.\nAnswer: 9\/1282739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550567246?\nAnswer: 2, 17, 4253, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*0\/2. Let m be (-33)\/(-7) + (-136)\/34. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 27*w**2 - 14*w + 3. Let p be y(-14). Suppose 0 = 3*o - 5*o - 8. Let v be (21\/9 + o)*-3. Solve -p*d = 10 + v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -52, 0, -5, 90 in descending order.\nAnswer: 90, 0, -1, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -63*u - 250. Let l be q(-4). Solve 3*n - 8 = -5*r, 4*r + l*n - 1 = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5 + 5)*(-3 + 2 + 0) + 5*g - 2*g - g + (-4*g + 5*g - 2*g)*(0 - 5 + 3) + g + 0*g - 13*g + 5 + 25*g - 16*g - 8*g.\nAnswer: -8*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 - 1?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 35 + 45 = 0. Find the second derivative of 1 - 11*v**2 - v - 5 - 20*v**2 - 34*v**f wrt v.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**3 - u**2 - 3*u + 45. Let z(r) = -6*r**3 - 3*r + 46. Let a(s) = 5*f(s) - 6*z(s). Let c be a(6). What is the highest common factor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -59*q**3 - 5*q**2 + 3*q. Let x(w) = -59*w**3 - 4*w**2 + 2*w. What is 2*j(p) - 3*x(p)?\nAnswer: 59*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120642620?\nAnswer: 2, 5, 7, 861733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54914203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*s**2 - 4*s**2 + 13*s**2 - 11*s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 9*y + 28. Let v(r) = -2*r + 7. Let p(s) = 2*l(s) - 9*v(s). Let b(w) = 2*w. Calculate b(p(x)).\nAnswer: -8*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**6\/240 + c**5\/40 + 10*c**3\/3 + 9. Let x(d) be the third derivative of z(d). Suppose x(m) = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.8 + 18. Let o = d - 0.2. What is the third smallest value in o, -0.3, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 - 15*u**2 - 540*u = 0. Calculate u.\nAnswer: -9, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 1946.82.\nAnswer: -1947.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -458221, -458224, -458237, -458266, -458317?\n\"Answer: -l**3 + l**2 + l - 458222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2413007768.\nAnswer: 2, 41, 7356731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5026 - 5007. Solve f = 34*h - 49 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 444, 445, 446, 447, 448?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(4\/10). Is (1\/f)\/((-8)\/1632) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50524, -100874, -151224?\n\"Answer: -50350*f - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) 4 (c) 58 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) 3 (c) 106\/3 (d) 46\/5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 23*u**3 + 6*u**2 + 6*u + 168. Let d(k) = 50*k**3 + 14*k**2 + 13*k + 337. Give 6*d(a) - 13*j(a).\nAnswer: a**3 + 6*a**2 - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 1651?\nAnswer: 31\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x**(-2)\/x)))*x)**(-6\/23)\/(x**(2\/5)*x*x**(-3\/10)))**7 assuming x is positive.\nAnswer: x**(-3451\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = 5. Let s be (-1)\/(-8)*r*-4. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-35) - -1)\/((-51)\/(-510)) + 10\/25?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -4, -29, -74, -145, -248?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 35*i**2 + 143*i + 278. What is l(30)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 13884365.\nAnswer: 277687300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-200)\/120*(-2)\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 200111010011100?\nAnswer: 200111010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*k - 15 = 0, 0 = -4*z + 4*k - k + 15. Let i = z + -1. Let w(a) = 6*a**3 - 5*a**2 + 3*a + 2. Let u(g) = -g**3 + g**2 - g. What is i*w(m) - 5*u(m)?\nAnswer: -m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95688 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8149087 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 895, 3020, 7159, 13984?\nAnswer: 24167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20171, -40346, -60507, -80648, -100763?\nAnswer: -120846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1034*j**3 + j + 10. Let x be q(-2). Find the common denominator of x\/(-3328) - (-8)\/(-104) and 115\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 4*i + 2, 2*m + 4*i = -3*m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*m - 4. Suppose 2*z + x - 2 = -m*z, -3*x = -z + 10. Sort z, -15, -2.\nAnswer: -15, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 33*m + 16. Let j be k(11). Suppose 16 = -j*l + 8*l. Let t(z) = -z**3 - 5*z**2 - 4*z + 4. Let s be t(-5). Is s bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, s: 1, w: 1, i: 1, f: 2}. Give prob of sequence fgsm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248625\/11700)\/((-25)\/(-60)*3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22484385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001 (base 2) in base 9?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9897.0033299 - -0.97.\nAnswer: 9897.9733299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 21 = -119. Suppose 2*i - i - j = -43, 3*j - 43 = i. Let u = 126 + i. What is the remainder when u is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**3 - 3*i**2 - 3*i - 2. Let s be d(-2). Let j = -3 - -3. Let y be (-2 - -3 - j) + 15. Calculate the highest common factor of s and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 14*d + 8. Let r be i(14). Suppose 180 = -3*v - 3*n, -r*v + 3*n = -4*v + 240. Let w = -42 - v. What is the lowest common multiple of 2 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)*n*n*n\/n**(-2\/11)*n*(n\/(((n\/n**(-4))\/n)\/n))\/n**5)**34 assuming n is positive.\nAnswer: n**(-4522\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1111212 + -5?\nAnswer: 1111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7 + 53 - 115*q**3 - 68.\nAnswer: -115*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -4, -0.3, -0.2 in descending order.\nAnswer: 12, 0, -0.2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -2305393?\nAnswer: 2305397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 6*m - 10296. Suppose 12*k + 0*k = m. List the prime factors of k.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:17 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 16 = -56. Determine n, given that 13 - n - 49*n - g*n**2 - 95 - 43 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 - 6*b + 9. Let h be j(-8). Let q be 2\/13 - ((-123)\/(-39) - 3). Put -1\/4, 2\/3, h, q in decreasing order.\nAnswer: 2\/3, q, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2bdd3 (base 15) to base 14\nAnswer: -397d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386143 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2\/33*x**3 + 69 + 76\/11*x**2 + 2888\/11*x. Solve c(a) = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-6)\/144)*(-138)\/90?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -444 and 0.027.\nAnswer: -443.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.05 - -0.05. Let f = 4 + p. What is the nearest to f in -2, -1\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w + 3*w)*(701 - 701 - 38*w).\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -1 - (20 - (-22 + 41)). Solve p = 50*f - 54*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-500)\/(-15))\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2349045ml to litres.\nAnswer: 0.0002349045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -2 + -3 - (-1464390)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 50*d**2 + 27*d**2 + 23*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1924 and 15836.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 - -126. Let f = g + 142. Solve 28 - f = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 + 141. Let w = -2 + 4. Let n = j - w. 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 6, what is 5 - 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from koookokkkdokkdokdo?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:38 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5307 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00579574509 rounded to 4 dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11260 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/86*680\/1190.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1 + (-18)\/(-1). Solve o + 4*o = s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.316 to one decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/12 - 2*p**2. Let i(y) be the third derivative of 103*y**4\/24 - 5335*y**2. Calculate i(o(w)).\nAnswer: -206*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/18*(-2)\/(-42) - 5412\/231.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -812*q + 813*q + 2*i + 3, 4*q = -5*i - 27 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22 = u + 32, -3*z + 28 = 5*u. Which is the fourth biggest value? (a) -2\/51 (b) z (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204835.\nAnswer: 5, 71, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*l = 0, -r - 3*r - 2*l = 0. Sort r, -4, -8, -2 in decreasing order.\nAnswer: r, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 12*n**2 - 10*n - 222. Let p be b(-10). Solve -54*r - 48 = -p*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -40. Suppose 2*y - o = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.51488 rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248576 - -549424. Suppose c + 988540 = 5*n - 1006460, 5*c = -2*n + u. Round n to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 + j**3 + 234971578375 - 234971578375.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240188 divided by 1240188?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 18. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42542 - 1?\nAnswer: 42541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 107\nAnswer: -27\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1878725 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20)\/((-2439)\/(-270) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*n = -3*n - 43073, 2*b - 21533 = 5*n. Suppose 6*f + 383 = b. Let j = -3375\/2 + f. What is the common denominator of j and -13\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1450\nAnswer: -3\/1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -598, -1292, -2242, -3436?\nAnswer: -4862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -17. Let j(p) = -17*p - 14. Let h(l) be the first derivative of -3*l**2 - 5*l - 1. What is k*j(w) - 11*h(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2*k**5 - 4\/7*k**2 + 0*k + 24\/7*k**4 - 6\/7*k**3 = 0. Calculate k.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73353751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-35) - 4539\/357. Let g(u) = -u**2 + u - 8. Let o(d) = -2*d**2 + 2*d - 20. Calculate p*g(l) + 5*o(l).\nAnswer: 2*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -733 - -739. Let x(s) = -5*s**3 - 9*s**2 - 2*s - 1. Let k(l) = 7*l**3 + 10*l**2 + 2*l + 2. Let g(a) = -3*k(a) - 4*x(a). Calculate g(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2771*j + 29*j - 194*j)*(4 + 4*j - 4).\nAnswer: -11744*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 + 0.3. Let f(b) = -b**2 + 9*b + 2. Let a be f(8). Let x = a + -21\/2. Sort 0.3, x, c in descending order.\nAnswer: c, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101921 is divided by 307.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 2607185?\nAnswer: 260717a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h + 19. Let r be y(0). Let d = r - -3. Solve 0 = -3*u + 5*n - d, 2*n + 3*n = 2*u + 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -35114345?\nAnswer: -35114403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.2, 0, 49\/3 in ascending order.\nAnswer: 0, 0.2, 3\/4, 49\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 824 and 2705501?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = 0. Suppose -8 = 13*k - 12*k. Let m be (-2)\/(0 + 4\/k). Put 5, m, b in descending order.\nAnswer: 5, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/24)\/((-4)\/270). Let v = o - 45. Solve 3*t + 4 + 5 = v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02613 to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8606, -8678, -8750, -8822, -8894, -8966?\n\"Answer: -72*p - 8534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 35. Suppose z - 3*z + 4*m = 78, -150 = d*z - 5*m. Let v = -16 - z. What is the remainder when 37 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 797 + -820. Let o = 0.0704 - 23.0204. Let q = r - o. Sort 2, q, -4 in decreasing order.\nAnswer: 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*w**2*x**3 - 105*w*x**3 - w*x wrt w?\nAnswer: -264*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.495 + 0.075. Let x = 6.42 + y. Let o = 11.2 - 11. Which is the closest to 0? (a) o (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 = 13. Suppose -36 + 326 = 10*n. Suppose f - 10*z - 12 = -5*z, 4*f - z = n. Solve 16 = f*q - p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z. Let h(n) = 26259228*n. Calculate h(l(m)).\nAnswer: -341369964*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j = 33*j + 34*j + 550 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*n - 15, -h - 4*n = 2 + 18. Suppose -5*y - s = -10, h*s - 4*s = -2*y + 4. Suppose -y*a = 3*o + 3*a - 8, -a - 2 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50751.64 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 2. Let x = -73 - -82. Is l(x) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -143, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 10*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 639799758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -27*o**2 + 64*o - 104. Let t be r(-36). What is t rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, v: 1, i: 1, f: 1}. Give prob of sequence iy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00082169846 to 5 decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*h - 4, -2*c + 54*h = 51*h - 10. Solve -6*u - 11 = z - 8*u, c*z + 3*u = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/41))\/g*g**(4\/3)\/g assuming g is positive.\nAnswer: g**(35\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9778 from -173749004.\nAnswer: -173749004.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9431 - -20311. Suppose -24*h + 8*h = -d. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1026, -1930, -3432, -5532, -8230, -11526, -15420?\n\"Answer: -299*i**2 - 7*i - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3063466694*w - 3063466694*w + 10*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135744 divided by -202.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 76*z - 78. Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5614 - -4?\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3184228 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 49*f + 298. Give x(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 102 = -882. Solve -59*v + 70 = -m*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -1.74633 (c) -5 (d) 3\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(174\/(-1044))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50072*x - 50091*x + 212324 = 57094. What are the prime factors of x?\nAnswer: 2, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009139593 rounded to seven dps?\nAnswer: -0.0000914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 7*q = 43, -5*b - 5*q - 1 = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 bigger than 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21)\/(38\/(-70) + (-120)\/(-300))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*i + 54, -3*l + 3*i + 42 = -0*i. Suppose 2 = a + l. Let j = 24 + a. What is the highest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3 - 1. Let j(f) = f**2. Let y(p) = p**2 + p. Let i(z) = t*y(z) - j(z). Find the second derivative of i(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m = 638*m + 10908 + 26906 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -42118 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(5\/40) - 3. Suppose 0 = -3*y - d - 4*d + 97, -y + 39 = v*d. Solve 4*l = y - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let o = v + 2. Suppose t + o*t + 32 = 3*h, 3*t - 26 = -4*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b + -3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/4, 552.73746 in decreasing order.\nAnswer: 552.73746, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45142748491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 94 = 13. Differentiate -55*g + 12 + 109*g - b*g with respect to g.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {w: 5, q: 3, v: 4, e: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -55, -57?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -h, -3*b - 28 = -4*h - 6*b. Suppose -h*c = -c - 27. Suppose 5*q - 4*q - 3*g + 3 = 0, -c = -3*g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*w**3 + 610*w**3 - w + 81*w**3 - w.\nAnswer: 129*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)*9*(-5 - -6). Let f be r\/60 - ((-16)\/20)\/2. Factor -1\/2*b**3 - b**2 + 3\/4 + 1\/2*b + f*b**4.\nAnswer: (b - 3)*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77221986 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1944507223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037878 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 + 291. Calculate the greatest common factor of z and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584717963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.0894475 - -5930.9?\nAnswer: 5866.8105525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2120*q + 2125*q = 899390. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -173, -346, -519, -692, -865, -1038?\n\"Answer: -173*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.158 - 4.158. Sort -2, 0.4, -123, f in ascending order.\nAnswer: -123, -2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 72*n + 134. Is t(-31) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 2, q: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1422*p - 463. What is the thousands digit of u(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 - 4*p + 1. Suppose -3*t + 11 = 26. Let w be r(t). Let n(f) = -4*f - 9. Determine n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 4*g + 1. Suppose 2*w = -4 - 2. Let j be h(w). Let v = 5 - j. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let h(p) = -p - 1. What is -3*a(y) + 2*h(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + n**2 - 1. Let o(s) = -3*s**3 + 7*s**2 - 3*s - 6. Let z be 1\/10*6 + (-4)\/(-10). Let i(y) = z*o(y) - 2*q(y). Give i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 64 - 4 = 0. Suppose -4*b = -0*b + 136. Let m = -22 - b. What is the least common multiple of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.89939l to millilitres.\nAnswer: 69899.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3491 + 4443 - 862 = 136*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 14*y + 3*k - 17, -5*y = 5*k - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 10. Let t(y) = y - 3. Let j be t(b). Suppose 4*k - j*h - h - 21 = 0, 29 = 5*k - h. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22086 divided by -54\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -35. What is the nearest to c in 2, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -506*s**3\/3 - 3021*s**2\/2 + s - 94. What is the first derivative of v(u) wrt u?\nAnswer: -1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 149*k**2 - 193*k - 1. What is x(2)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*g + 216 = -27*g + 1084. Solve -7*p + 8*p = 4*i + 20, 4*i - g*p + 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 9 - 3 + 13 to a*i**2 + n*i**3 + v*i + s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 305051 + 305160 = 4*o + 3*m, 0 = 5*o + 6*m - 208 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5096930 to the nearest integer?\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 102. Solve 2*f = -2*i + 2, -2*f = -2*i - w - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 328. Let d = -45 + j. Let t = 47 + -11. Calculate the remainder when d is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195068300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by (116 - 117)\/(2\/(-76)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 372923549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -549.597 - -549. Let j = 0.6 + r. Round j to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-576)*-16*(-3)\/3*135?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x\/x**(-3\/8)*((x**(2\/7)*x)\/x)**(1\/7))**(-3\/20) assuming x is positive.\nAnswer: x**(-11073\/7840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*(i\/i**(-1)*i)\/i*i*i)\/i)\/i)**(3\/16)\/(i*i**(4\/7)*i**2) assuming i is positive.\nAnswer: i**(-295\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j + 5*v = 19, -j = 3*v - 9. Calculate the remainder when 30 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/5 - 2*b**4\/5 - 132*b**3\/5 + 496*b**2\/5 + 64*b - 2304\/5 = 0?\nAnswer: -9, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and -786?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from bthhbttihyb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4166 = 2*u, -5*j - 246*u = -247*u - 20875. Calculate the remainder when j is divided by 155.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 978*d**3 + 18908*d**2 + 34878*d + 16949.\nAnswer: -(d - 997)*(d + 1)**2*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22121002 (base 3) to base 14.\nAnswer: -23d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = 2*j. Let q be -3*(-1)\/j*-2. Let o be (1 - q - -15) + -2. Solve o = 3*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 4270*n + 491187. Calculate y(-122).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 5*u, -j = -u - 5480704 + 5480694 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123333102 + -11103?\nAnswer: -130010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from wbbih?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 135756.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*p**2 - 2*p**2 + 0*p**2 + (-30 + 8*p + 30)*(0 + p + 0) to u + y*p**2 + m*p and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 251 - 125. Suppose j + 282 = -2*j. Let z = r - j. Solve -3*b + 3 = -z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by -119.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44437317 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 11 + -14 + 18 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + 233951\/(-30). Let f = b + 7519. Let p = 4252\/15 + f. Calculate the common denominator of p and -145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 9*u**3 - 18)*(-5*u**2 + 2*u**2 + u**2) - 9 + 8*u**5 + 9 + (-5*u + 0*u + 3*u)*(-2*u**4 + 2*u**4 + 10*u**4).\nAnswer: -30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i**2 + 17*i**3 + 0*i**2 + 60 - 59. Give u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*r - 50. Let d = 21 - r. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 33928*f - 1192380.\nAnswer: 4*(f - 35)*(f + 8517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, j: 1, y: 2, i: 1}. What is prob of picking 1 n, 1 y, and 1 j?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -16993.\nAnswer: 33986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-20) - (-474)\/(-90)) + 4\/((-20)\/35).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408) + (sqrt(1408) - 4*sqrt(1408) - sqrt(1408))*-4)\/(sqrt(275)*3*6))**2.\nAnswer: 9248\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 911429.\nAnswer: -2\/911429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56595*a**3*y**2 - 6*a**3 - 51*a*y**2 + 2*a - 474504 wrt y?\nAnswer: 113190*a**3*y - 102*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/7)\/u)\/u*u*(u**(-4)\/u)\/u*u)**50\/(u**(3\/8)*u*u**(-5)*u**(-4\/7)*u**(-4)) assuming u is positive.\nAnswer: u**(-17541\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.93 - -6.930493. What is u rounded to 5 dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1359839 and 3610607.\nAnswer: 104707603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**3 - 123*g**2 - 3*g + 138. Let v(s) = 9*s**3 - 120*s**2 - 3*s + 138. Let h(n) = 6*m(n) - 5*v(n). Determine k so that h(k) = 0.\nAnswer: -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkugggug. What is prob of sequence gkgg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2)*(-10 + 11). Find the second derivative of -85*w**2 - 3 + 14*w + 67*w**2 + z wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w + 8958*w**2 + 52*w - 102*w.\nAnswer: 8958*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 7 + 22. Suppose 0 = 2*c - 5*c - j + 13, 5*c - 3*j - 17 = 0. Suppose 7*d - c*g - 24 = 5*d, 2*g = 4*d - 24. Solve f = -d*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 8, d: 4, n: 4}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 8818*t - 584. What is s(0)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207032 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -43*w - 43. Suppose -7*r = -0*r - 56. Let z(s) = 129*s + 130. Let h(k) = r*v(k) + 3*z(k). What is the first derivative of h(g) wrt g?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(35) + sqrt(35) + -4*(sqrt(315) - sqrt(35)) + sqrt(5040)*2)*4)\/((sqrt(847) - (sqrt(847) - (sqrt(847) + (sqrt(847) - sqrt(847)*1))))*1*2).\nAnswer: -2 + 36*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-1)\/(-12)). Let p(l) = -l**2 + 5*l - 5. Let b(k) = -k**2 + 6*k - 6. Give s*p(i) + 5*b(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185797 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -91*u - 374*u + 158*u. Let r be p(-1). What are the prime factors of 1 - (-17)\/(-34)*(-1 - r)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50013168 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 630797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15841540 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4044 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 17. Let b(u) = -u - 16. Let x(a) = -6*b(a) + 5*z(a). What is the units digit of x(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242095 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(13)*2*-2 - (sqrt(468) + 1 + sqrt(13))).\nAnswer: -44*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/35 + (-20371)\/(-91) + -10)*(-1)\/(-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49543, 99086, 148629, 198172, 247715, 297258?\nAnswer: 346801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(98)*1)**2 - ((1*sqrt(2)*-1 + sqrt(2))*3)**2).\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 377958.97? (a) 2\/13 (b) -5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18893962*r**3 + 2*r**2 + 24918292*r wrt r.\nAnswer: 113363772*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 2433?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(275) + 1)**2 - (sqrt(11)*-2 + -3) - ((2 + sqrt(891))**2 + (1*sqrt(11) - sqrt(11) - sqrt(11)) + 4).\nAnswer: -499 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3762565 = 3762438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(252) - (1 + sqrt(252)))**2 + -3 + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 149.\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*s - 47, 5*s - 4*p + 41 = -p. What is the common denominator of s\/(-25) + 154\/(-10) and 17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**2 + 2*w - 2. Let n(p) = 11*p**2 - 3*p + 3. Let d(j) = -2*n(j) - 3*s(j). Let a(k) = 15*k**2. What is d(a(u))?\nAnswer: 1800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h**1))\/h))\/h**(-8\/9))\/(h**7\/(h*h**16)) assuming h is positive.\nAnswer: h**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 11 - 264*l - 16.\nAnswer: -264*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c + 4. Let q be m(-5). Let o = q - -19. Let r = -3 - o. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.7 + -67.3. Let w = -867.18 + 780.2. Let o = t - w. What is o rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -323, -346, -367?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 217 - 13*u + 2*u - 215 as l + h*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -4, 676 in descending order.\nAnswer: 676, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371814?\nAnswer: 2, 685907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -74, -46, 30, 160, 350?\n\"Answer: h**3 + 15*h**2 - 66*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1516 - 115*m - 1516)*(0 - 5 + 3)*(-2 + 7 - 3)*(-54 + 167*m + 54) as f + s*m + u*m**2 and give u.\nAnswer: 76820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 - 205?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 51 + 227 - 176.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 3*w.\nAnswer: -w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*t**2 + 1 - 5 + 5 - 2*t**2 + (-2 + 0 + 0)*(4*t - 4*t + 2*t**2))*(1 - 1 - 3*t)*(2 + 3*t - 2).\nAnswer: 99*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/((s**18\/s)\/s*s))**(3\/20) assuming s is positive.\nAnswer: s**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - m - 1558 = 627, -3*m - 2726 = -5*n. List the prime factors of n.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from efeufffededdfffefdey.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 731\/4. Put s, 0.4, 2\/9, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + 5 + -20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let s(n) be the first derivative of -16*n**3\/3 + 47. Give j(s(o)).\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 22 = -y - 7*g, -5 = -5*y + g. Suppose -y*t + t = -54. Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.28, 2\/31, -1\/2 in decreasing order.\nAnswer: 2\/31, -1\/2, -3.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/5 - 16823*c\/5 + 33642\/5 = 0. What is c?\nAnswer: 2, 16821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n + 39*n + 27*n + 29*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -9, 5, 35, 87, 167, 281, 435?\n\"Answer: o**3 - o**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 469009 + -468994. Let w = 3 + 0. Solve 0 = 2*f + 3*i + c, f - 3*i - w = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.6, -2\/5, -1\/6, -2, 2\/3 in ascending order.\nAnswer: -2, -2\/5, -1\/6, 2\/3, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 - 9*k + 5. Let y be u(2). Suppose 3*s - y*o + 6 = 0, o + 1 = -0*s + 2*s. Suppose -s*b = 3*q - 4*b - 1224, -5*b - 2050 = -5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y*y*y*y**5)\/(((y**0\/y)\/y)\/(y\/(y**4*y)))*((y**(-2\/7)\/y)\/((y\/(y\/y**(-2\/15))*y*y*y)\/y))\/(y**(-2\/13)\/(y**(-2\/15)\/y)) assuming y is positive.\nAnswer: y**(716\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273 + -269. Let s(z) be the third derivative of 0*z + 1\/24*z**v + 0*z**3 + 0 + 5*z**2. Let k(b) = -3*b + 1. What is -k(q) - 2*s(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*h = -54, 30*y + 14*h = 34*y - 268 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 - g + 9*g**2 + 2 - 15*g**2 + 3*g**2. Let r be 0\/(-2)*1 - 0. Calculate the remainder when 3 is divided by v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-304)\/(-6)*(-33)\/22. What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 + -30?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -34*k**2 + 5. Let i(p) = 87*p**2 - 12. Let o(t) = -5*i(t) - 12*l(t). Let v(w) = -22*w**2. Give v(o(g)).\nAnswer: -16038*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**2 - 1. Let a = -5 + 12. Let k(w) = -a*w**2 + 9*w**2 + 2*w - 2*w. Calculate k(n(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q**3 + 1598*q**2 + 163*q - 239. Calculate l(80).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 + 222*b\/13 + 220\/13.\nAnswer: 2*(b + 1)*(b + 110)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1 - 4*-2. Let x(g) = -g + 4. Let t be x(w). Let d be (35\/(-5))\/(t\/26). Calculate the highest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {p: 4, k: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6224 in -2, -3.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -765220 to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.067 rounded to one decimal place?\nAnswer: -34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - -42. Let c = 125 - g. Suppose -3*s + 4*r = c*r - 420, 3*s - 5*r - 408 = 0. What is s rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-9 - -14) - -5. What is the third smallest value in -21, k, -2\/15, 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 2)*(2 + f - 2)*(-21 + 21 + 13*f**2 + 3*f).\nAnswer: 117*f**3 + 27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3193*h - 62 = 3198*h - 4*z, 0 = 6*h - 4*z + 72 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-22))\/((-1)\/2). What is the nearest to -2 in -6, -2\/5, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 9 - 12*m - 10*m)*(-m**2 + 8*m**2 + 9*m**2).\nAnswer: -352*m**3 - 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904965233.\nAnswer: 3, 24611, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 - 15*g**3 - 35\/12*g**4 + 233*g + 0 + 1\/4*g**5. Factor m(t).\nAnswer: 5*t*(t - 9)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993043 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, -148, -0.3 in descending order.\nAnswer: 4, -0.3, -2, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvfvfdvrofvvvvg. Give prob of sequence or.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270668519*j**3 + 841870*j**2 - 168*j wrt j?\nAnswer: -1624011114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004632.427 rounded to the nearest one hundred?\nAnswer: -1004600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108534 > 108473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 - 4 = 0. Let l(x) = 14*x - 64. Let m be l(5). Let b be (-15)\/2*m\/(-9). Sort b, 1, v, -1.\nAnswer: v, -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33251024 - 25?\nAnswer: -33251051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:38 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 675615389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*m - 11 - 71, q - 4 = 0. Let j be 96*(m\/9 - 4). Calculate the greatest common divisor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/4)*k)\/(k*k**(1\/3)\/k))\/(k*k\/(k*k\/(k**(5\/4)\/k))*k*k*k*k*k**5) assuming k is positive.\nAnswer: k**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 452154540 (base 6) in base 10?\nAnswer: 8226780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 divided by -1791?\nAnswer: -2122\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from efeqfqffhhhhehfhq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1160*t + 2. Let g(b) = 2*b**2. Calculate a(g(o)).\nAnswer: 2320*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**4 + 6*q**3 - 6*q - 4. Let f(z) = 23*z**4 - 13*z**3 + 13*z + 8. Let v(k) = -6*f(k) - 13*y(k). Find the first derivative of v(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h - 249*h + 123*h - 407 = -78*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 2*j**2 - 3*j - 5. Determine c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 338042423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22482698*0.4.\nAnswer: 8993079.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 9, 12, -7, -31 in increasing order.\nAnswer: -31, -7, 9, 12, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 324 = -1134. Let u be 4\/6*a\/(-18). Solve q = 3*j - 10, -u*j + 3*j - 2 = 2*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -54 (b) 2 (c) -5 (d) -267 (e) 3 (f) 3\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7718757*c**6*j**2 - c**3*j**2 + 4395268*c**2 + 2*j**2 wrt c.\nAnswer: -926250840*c**3*j**2 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2*s - 11 - 5.\nAnswer: -2*s - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4436 + 4?\nAnswer: 4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - 3) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 12*m - 85. Suppose -2*l = -l - m*d - 63, -d - 252 = -4*l. Put 2, 3, l in descending order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4313 divided by -205\nAnswer: 4313\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-18971)\/(-366) - -64.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5692 - -8058. What is the highest common divisor of a and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:13 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - 8*p**2 + 17*p + 17. Let h(c) = 6*c**3 + 9*c**2 - 17*c - 17. Let n(i) = 2*h(i) + 3*y(i). Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249367968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (290\/116)\/((-2)\/8*-14). Let i(y) be the second derivative of -14*y - 9\/7*y**2 + p*y**3 - 1\/6*y**4 + 0 + 1\/70*y**5. Factor i(n).\nAnswer: 2*(n - 3)**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694515?\nAnswer: 3, 5, 46301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 77032.6186?\nAnswer: -77036.6186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354433345 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245 and 14104605?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - p**2 + 3*p**4)*((0 + 1 - 3)*(2 + 3 - 4) + 1 - 4 - 4) as r*p**4 + n*p**3 + u*p**2 + d + w*p and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.562 - -3.438. What is the biggest value in 2\/5, v, -2\/7, -12, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(10\/(-4))*20. Suppose 0 = y*u - u - 28. Is (-5)\/u*5140\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87690273 to the nearest integer?\nAnswer: 9364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:41 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**2 + 2*q - 1. Let a be 1*(-4)\/2 + 1*3. What is t(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6814 = -3*l + c, -2*c + 7*c - 2248 = l. Let u = -289 + 1507. Let p = u - l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2235, 197, -0.05 in descending order.\nAnswer: 197, 0.2235, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + 3\/(-10)*-18.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 20. Let h be ((-1)\/3)\/(16\/(-528)) - 5. Solve h = -2*g + 2*k, 3*g + 0 = -u*k - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (8\/20 - (-7)\/(-5)). Suppose r = 21*s - 20*s + 2298. Let n = s - -3253. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 2}. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13638021, -13638001, -13637967, -13637919, -13637857?\n\"Answer: 7*z**2 - z - 13638027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -1892*d**3\/3 - 2721*d**2\/2 - 194*d. Find the first derivative of s(t) wrt t.\nAnswer: -3784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 6.1. Let s = -1.2 + 1. What is the nearest to 0 in f, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:02 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134*h**4 - 2079*h**3 + 1149071 wrt h?\nAnswer: 536*h**3 - 6237*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.2, 1279, 7693 in increasing order.\nAnswer: -2\/7, -0.2, 1279, 7693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 0.4 (c) -0.1 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35458, 32094, 26484, 18628, 8526?\n\"Answer: -1123*h**2 + 5*h + 36576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 19. Let g(w) = -26*w - 570. Let r(q) = 2*g(q) + 60*x(q). Let v(a) = -7*a**2 + 5. Calculate v(r(s)).\nAnswer: -448*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:25 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 21 + 15. Let p be ((-6)\/(-4))\/((-3)\/(-36)). What is the highest common factor of p and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 5*m**2 - 6*m - 3. What are the prime factors of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482*-107.\nAnswer: 51574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.03 (c) 1\/6 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 50*r - 70 = -10*v, 5 = -4*v + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.482552513 to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -263169 times 0.15?\nAnswer: -39475.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(2057) + -4) + 3)**2 + (((sqrt(2057) + 4 - sqrt(2057)) + 5)**2 - 2*sqrt(2057)*-4).\nAnswer: 1232*sqrt(17) + 33162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300*j**2 + 1048*j**2 - 2074*j**2.\nAnswer: 274*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**4*m - 313*c**4 - 12*m + 16 wrt c.\nAnswer: -20*c**3*m - 1252*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57380937 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q + 6. Let v be g(5). Put v, -3, 3 in ascending order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -31639.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/3 + 623*h**2\/2 - 972*h - 2. Let n(j) = 2*j**2. Calculate n(u(z)).\nAnswer: 8*z**2 - 4984*z + 776258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*l = 5*x + 89, 122*x - 125*x - 5*l + 91 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68)*-2 - sqrt(68)) + sqrt(68))\/sqrt(4) - (sqrt(17) - sqrt(170)\/(-2*sqrt(10))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + v**2 - v**2 + (-7 - 1 - 1)*(4*v**2 - v**2 - v**2).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/188)\/((7\/42)\/((-1)\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 + v - v + (v - 3*v + 3*v)*(4*v + v - 4*v) + 2*v**2 - 5*v**2 + 2*v**2)*(43434 - 25663 - 21986) to x + m*v**2 + k*v and give m.\nAnswer: -8430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3 - 2*b**2 + 5*b + 8. Let n(f) = -2*f**2 - 3*f + 4. Let d = -12 - -8. Let x = 1 + d. What is x*k(c) + 4*n(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 332*a\/3 + 55112\/3.\nAnswer: (a - 332)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -50. Let u = -3.8 + 0.3. Let m = -1 - u. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000899089 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -13)*(-27)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 8*f**2 + 7*f)*(6*f - f - 3*f)*(3 + 1 - 3).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 618 + 66)*(-2*a + 3*a - 2*a).\nAnswer: 481*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zajz when four letters picked without replacement from zauyujzuusuz?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 1546, 3491, 6214, 9715, 13994, 19051?\nAnswer: 24886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -56*d**2 - 5*d - 5. Let u(j) = -134*j**2 - 12*j - 12. Let g(p) = -12*r(p) + 5*u(p). Let v(o) = 152*o - 1. What is g(v(l))?\nAnswer: 46208*l**2 - 608*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.19 + 1.19. Let b = 1.3 + -1. Put b, 0.4, g in descending order.\nAnswer: g, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 6*m. Let h be m\/5 + (-11)\/5. Is (-1)\/(3\/474*h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + t - 9. Determine z(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 696*p - 699*p + 11, p - 9 = -4*y. Let t(g) be the second derivative of 37\/2*g**y - 28*g + 0 + 5\/3*g**3. Differentiate t(q) wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 185*s**2. Let b(w) = 105143*w. Calculate o(b(h)).\nAnswer: 2045184333065*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + -5 + (1 - -1) + (3 - 11) + -10.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20822480681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d - 0*d. Let o(a) = d - 6 + 7*a - 2*a. Let m(u) = 22 + 25 - 73 + 6*u + 23. Determine 2*m(n) - 3*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1583, 3190, 4819, 6482, 8191, 9958, 11795?\nAnswer: 13714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586846023 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 36.1. Let m = -4 + 3. Let k be 78\/15 + (-5)\/25. Which is the closest to 1? (a) z (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(152) - sqrt(152)))\/(sqrt(512)*-2 + sqrt(512))*-2.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42491989 a multiple of 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.114291 + -0.969901. Let a = 114.27139 - d. Let s = a - 115. What is s rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 3, l: 1, j: 2, r: 1, v: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 4, -8, 404, 18, 1 in ascending order.\nAnswer: -8, -5, 1, 4, 5, 18, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191739308 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let r = 0.3 - 0.5. Let o = d + r. Which is the third biggest value? (a) -1 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 176670.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-3*a**2 + a**2 + 4*a**2 + (2*a - 2*a - 7*a)*(0*a + 0*a - a) - 4*a**2 - 49*a + 5 + 42*a + 2*a) to the form y + d*a**2 + c*a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -812, -1758, -3064, -4730?\n\"Answer: -180*o**2 - 46*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 3*x**2 - 3*x**2)*(-3*x + x**2 + 3*x)*(15*x - 22*x - 5*x).\nAnswer: 132*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/6 - 13*b**3\/6 + 9*b**2\/2 - 10*b. What is the remainder when 45 is divided by s(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/250*116\/203.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391\/2 - 195. Let g be (5 + -12)\/(-21) - 22\/12. What is the closest to s in 3, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 1686219.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -6270506?\nAnswer: -6270501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1419420 divided by -3462?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 10*i - 3216 + 3229 = 0, -5*i - 6 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 82*n = -25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -101\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2771 + 3045 = 8*w. Let j(k) = -727 + w + k. Let z(t) = -2*t**2 - 5. Determine j(z(u)).\nAnswer: -2*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 21*h**2 - 45*h - 19. Let y be j(23). Suppose -4*m + 402 = t, 1595 = y*t + m + 2*m. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4\/7 - 32*u**3 - 1504*u**2\/7 + 6528*u - 166464\/7 = 0 for u.\nAnswer: -34, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 9*w**2 + 5. Let b(f) = -7*f**2 + f - 3. Let c(j) = -2*j**3 - 3*j**2 - 3. Let m be c(-2). Let o be b(m). Determine v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 5, 895, 466, -4, -2\/9, 4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4 + 503*r**3 + 11688*r**2 + 92480*r + 245248 = 0.\nAnswer: -479, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152189447678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 6 + 2)*(1 + 1 - 4) - 1 - 3 + 1)*(-4 + 213679*h + 4 - 213981*h) to v + c*h and give c.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 6) - (26 + -29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 45*g**3 - 2*g**2 + 2*g - 189. Let s(p) = -136*p**3 + 7*p**2 - 7*p + 567. Let j(k) = -7*b(k) - 2*s(k). What is the first derivative of j(v) wrt v?\nAnswer: -129*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(-2 + 6 - 2) - 835 - 51*g + 835 + (-g - g + 4*g)*(-3 - 2 + 4) + 10*g - 4*g + 6*g.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2120422 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9447713 and 7?\nAnswer: 66133991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27*o**3 - 2*o. Let v(m) = -2 + 2 - m - 6*m**3 - 7*m**3. Determine -3*h(u) + 7*v(u).\nAnswer: -10*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140775 to five decimal places.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -3*t + 134 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 30. Let t(x) = 2*x**2 + q*x - 3 + x**3 - 4*x - 3*x**2. Let k = 0 + -2. What is t(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/5 (c) -0.02 (d) 3 (e) -15\/2 (f) 5 (g) 86\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17626184.1200844 + 17626180. Let y = -4.12 - t. What is y rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1373958\/151 + 9099. Let x = -5763\/2114 + c. Find the common denominator of 436\/(-32) + 3\/2 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = 7. Let r(h) = -h**2 - 5*h + 4. Let j be r(-4). Find the third derivative of -8 + j + f**2 - 7*f**i wrt f.\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -22 - (17 - 47 - -40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0342233 minutes?\nAnswer: 2.053398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 4*o + 2*o**2 - 5*o. Let j be h(-6). Let x = -16 - j. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/13 - 18\/13*d**5 - 12\/13*d**4 - 18\/13*d + 0*d**2 + 4*d**3 = 0. Calculate d.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -9 + -1 + 2)\/(-2). Let v(c) = -6*c**2 + 6*c + 1072. Let y(f) = -6*f**2 + 7*f + 1073. Let u(m) = 6*v(m) - 5*y(m). Is u(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 9, d: 4, h: 2}. Give prob of sequence vhh.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - 15*w - 18. Let g = -25555 + 25546. Determine v(g).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**3\/3 - 7*s**2 + 24*s - 27. Let o be v(9). What is the greatest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 4, a: 5, l: 1, q: 1}. What is prob of sequence lo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/((-1088)\/96)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3840 + 7630 - 3047*v - 3792 as p*v + k and give p.\nAnswer: -3047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 689830098 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21760134.\nAnswer: 2, 3, 11, 487, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.4 - 4.6. Which is the second smallest value? (a) z (b) -3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 42*a + 26. Let l be i(9). Let m = l + 271. Let m - 2*b + 1\/2*b**2 = 0. Calculate b.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -7*f**2\/2 - 3. Let u(h) = -4*h + 6*h + 1 + 6*h. Let s(k) = -4*m(k) - 3*u(k). What is the first derivative of s(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/24 and 22\/5*(4\/3)\/(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518 + 0.5\nAnswer: 518.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.2978199 - -112?\nAnswer: 56.7021801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejjjj. Give prob of sequence je.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62470458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d - 2\/5*d**4 + 0*d**3 + 2\/5*d**2.\nAnswer: -2*d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955*r + 1257*r + 112*r + 5895*r.\nAnswer: 6309*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3699 greater than or equal to -3700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -75372 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -75840 (base 11) in base 10?\nAnswer: -110154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 1*sqrt(68) - sqrt(68))*6 - sqrt(68))\/(-1*sqrt(144)).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**47)**(-42) assuming a is positive.\nAnswer: a**(-1974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010110 - -10011011011?\nAnswer: 1000000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3120 (base 4) to base 11\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 32. What is the greatest common divisor of 182 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-2 - 7))*(2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -28. Let l(v) = -3*v + 6*v - v - 27249*v**h. Let p be l(-2). What is p rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - 1)*(4 - 5 + 8)*(2*r - 1 + 1).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 3484*c - 6079*c - 105.\nAnswer: -9563*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3 - 27\/7) + 5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 170.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248270?\nAnswer: 2, 5, 73, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**3 - 31 - 34*w**3 + 31.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y*y*y**(-2)*y)\/y)\/y)\/y*y*y*y)\/y*y)\/y**(-9\/4))\/(y**(-1\/16)\/(y*y*y**(-3)\/y*y*y)) assuming y is positive.\nAnswer: y**(53\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 5*t)*(-18 - 6*t + 18)*(2 - 1 + 0)*(-4*t - 2*t + 2*t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -39*k**2 - 1. Let w(j) be the second derivative of j**5\/60 - 17*j**3\/6 + 18*j. Let s(f) be the second derivative of w(f). Give t(s(v)).\nAnswer: -156*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p + 88. Let i = -18 - p. Solve i = j + 5*y, 2*j + 0*j + 5*y - 27 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-38)*(-4)\/(-6). Let f = -3675 + 3680. Put -4\/5, f, -5, w in decreasing order.\nAnswer: f, w, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/686 and -131\/79884.\nAnswer: 3914316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35984 is divided by 2694?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 5. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c - 83*c + 38*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.44793984 + -3.448. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14749.06 + -14749. What is the nearest to y in 0.3, 3\/7, 4, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2407807*j + 3230 = -2407484*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 5*l**2 - 7372 - 3*l**2 - 3*l**2 to the form a*l**2 + h + p*l and give h.\nAnswer: -7372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.938l in millilitres?\nAnswer: 352938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383842584.\nAnswer: 2, 3, 23, 77263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.09, -54, 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/24 - 40*h**2. Let x(f) = -138*f. Determine x(q(r)).\nAnswer: -138*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -266 + 49 - y**3 - 23*y**3 wrt y?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 + 11 = 0. Let a be 8 + -2 + 0 + 2. Let c = a + -4. Calculate the remainder when w is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+122580\nAnswer: 122579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 times 18584?\nAnswer: -446.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -2.5. Let p = -3.3 - l. What is the closest to -1 in 1\/2, p, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -687218854 or -687218855?\nAnswer: -687218855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, s: 3, n: 7}. Give prob of picking 2 l and 1 n.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, q: 1, f: 1, t: 1, j: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21234350 - 0?\nAnswer: -21234350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/11)*n*n**20)\/(n**(-5)*n\/(n\/n**(-3))) assuming n is positive.\nAnswer: n**(313\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/(-12))\/((-125)\/(-30) + -4). Suppose -3*m = -5*w, w + m + 10 = 2. Is u\/w*(3 + -6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 4*p**2 + 8*p - p - 6 + p**3. Let j be a(5). Suppose 0 = -j*u + 96 + 68. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875 and 800?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-1\/2)*u))\/u)**18*u*u\/(u**(-6)*u)*u*u\/((u\/((u**(1\/5)\/u)\/u))\/u*u))\/(u**(1\/2)*u\/((u**(-2\/3)*u)\/u*u)*(u**(1\/2))**(1\/11)) assuming u is positive.\nAnswer: u**(-662\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**3 - 9*h**2 - 4*h - 17. Let a(r) = -15*r**3 + 14*r**2 + 6*r + 25. Let o(l) = 5*a(l) + 7*z(l). Determine o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 1, x: 1, m: 4, d: 2, g: 4}. Give prob of picking 2 m and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*i**2*y + 2273*a*i**2 + 12*a*i*y**2 + 29*a + 35*i**2*y**2 - 2*i*y**2 - 6*y**2 wrt i.\nAnswer: 2*a*y + 4546*a + 70*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -m - 20*n + 8*n - 16, -4*m + 5*n - 64 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/6 and 139\/828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 302\/(-6) + 2\/6. Let a = f - -78. Suppose -2*d + 14 = 3*w - 4, -5*d + a = -w. What is the remainder when 11 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 0.178917.\nAnswer: -3.041589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times 14\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d - 2 + 3 + 16*d. Let t = 47 + -45. Let x(b) = -2*b**t - 25*b + 11*b + 20*b - 6. Calculate -6*m(a) - x(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*n**2 + n**2 - 14 + 13*n**3 - 10*n**3 in the form w + b*n + k*n**3 + x*n**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108338261025661\/22605 - -4792668043. Let m = -4\/2055 + v. Find the common denominator of 45\/17 and m.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t - 5*x, 2*x - 84 = -5*t + 3*x. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + x**2\/2 + 4*x + 1. Suppose h(j) = 0. Calculate j.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(270) - ((sqrt(270) + sqrt(270) + sqrt(270) + sqrt(270)*2)*-4 - sqrt(270)))\/sqrt(6))\/(6*sqrt(36)*4).\nAnswer: 11*sqrt(5)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3767120000*z**3\/11 + 3766946400*z**2\/11 + 173598*z\/11 + 2\/11 = 0. What is z?\nAnswer: -1\/43400, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/40 + 7*j**3\/30 + 3*j**2\/4 + 9*j\/10 + 174. Factor z(v).\nAnswer: (v + 1)*(v + 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 2*f**3\/3 - 15*f**2\/2 + 23*f - 18. Is 10 a factor of n(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 34 = -14. Suppose -v*l + 8992 = 3052. Let n = -732 + l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 45 = -4*j, -4*i + 60 = 3*j + j. Let a = -5 + j. Is 13 a factor of (-6)\/(-15) + 193\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prh when three letters picked without replacement from phhhr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1544364 (base 10) to base 13.\nAnswer: -420c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3183.8436us to hours.\nAnswer: 0.000000884401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.12, 88, -26, -0.3?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 63 + 10069.679\nAnswer: 10132.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (9 + 2 - (-3 - (-2 - 5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136669298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -40774*z + 445. Is h(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -8 (c) -0.09 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a + 49. What is t(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.503881 rounded to 3 decimal places?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 + 2*y**2 + 2*y + 24. Determine o(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) -9\/359 (d) 2\/17 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12733\/30 - -849\/2. Which is the closest to 7? (a) 4 (b) -0.2 (c) x (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-149 + 0)*-1 + (4 - 0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 3*g**2 + 3*g**2 + 3*g**2 - g**2 - g**2 + (-1 - 4 + 4)*(2*g**2 - 2*g**2 - g**2) - g**2 + 5*g**2 - 5*g**2 - 3*g.\nAnswer: 3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/2941 and 62\/17127?\nAnswer: 291159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*c)*(c**2 - 2*c**2 + 3*c + 2*c**2).\nAnswer: -3*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141120 + -176?\nAnswer: -141306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:56 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s. Solve -15 = -d - 5*o, -5*o = -4*d - s*o - 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108416, -111932, -115448, -118964, -122480?\n\"Answer: -3516*j - 104900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22111\/39 + 567. Let r(z) = -z**3 + 4*z**2. Let u be r(4). Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 - 4*n**3 - 2*n**3 + (-16*n**2 - 4*n**2 - n**2)*(-5 + 5 - n) + (2 - 5 + 1)*(2*n**2 - n**3 - 2*n**2).\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18018*f**2 + 330*f. Let z(d) = 487*d**2 + 9*d. What is 3*p(n) - 110*z(n)?\nAnswer: 484*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/14)\/(5 - 4). Let y = 33 - 34. What is the nearest to y in -2, p, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8097, -27602, -60095, -105564, -163997, -235382, -319707, -416960?\nAnswer: -527129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 + (-49)\/(-7). Suppose 3*c - n + 8 = -12, 0 = -3*c + j*n - 4. Let h(x) = -x**2 - 9*x - 3. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, w: 1, l: 4, a: 7}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12 and 79\/351264.\nAnswer: 351264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.03 (c) -180 (d) -13 (e) 0.1 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -157\/4. Let h be (-156)\/(-27) - (-2)\/9. Let n(m) = -m**3 + 5*m**2 + 7*m - 3. Let o be n(h). Is o > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20469 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*q**3 + 4*n**2*q**2 + 71*n**2*q + 865*n*q**3 + 148*n*q wrt q?\nAnswer: -6*n**2*q + 8*n**2 + 5190*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 2*v - 4 - j = 0. Suppose -2*z = -m - 33, m - 5 + 56 = v*z. Solve 2*c = 4*t + z, 2*c + 2*t = 5*t + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 - (8 + -1) - (-17 - -26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 267 - 265.09. Let f = 0.21 - q. Let y = 1.7 + f. Is -0.3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-862)\/(-8) - (-3)\/(-4). Suppose -3*b + y = -385. Calculate the remainder when 69 is divided by 12\/(-54) - b\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.2 + -18. Let z = -532 + 532.213. Let b = -0.787 - z. Put n, -5, b, -0.4 in ascending order.\nAnswer: -5, b, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68980760 and 19976?\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**4 + 6\/5*q**3 + 0 + 0*q - 8\/5*q**2.\nAnswer: 2*q**2*(q - 1)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - -7 - 4) + 62 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15.2. What is the nearest to h in 0.1, -2, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3356884 to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 - 98 = -26*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5947414 + -73836\nAnswer: 5873578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0.35, 2\/15, -2\/33, -3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loooleoooo. What is prob of sequence oeo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -90795.02239443 + -3\nAnswer: -90798.02239443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1451 + 343242?\nAnswer: 345133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4 - 14. Suppose m = 8*f - 10*f. Let u(t) = 2*t**2 + 5*t + 2. Let v be u(f). Sort v, -5, 1 in increasing order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 24*x - 54. Let f be w(26). Let p(j) = -23*j - 46. Let o be p(f). Factor -2\/5*g**3 - 4\/5*g**2 + o + 8\/5*g**4 + 6\/5*g**5 + 0*g.\nAnswer: 2*g**2*(g + 1)**2*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + (54 - (-35 + 105))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33 - 825\/(-22))\/(2\/4). Let b(m) = -33*m**3 - 4*m**2 + 2. Let h(v) = 65*v**3 + 9*v**2 - 4. Calculate y*b(a) + 4*h(a).\nAnswer: -37*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 - 4 = 2*m, -5*t - 5*m = -40. Let p = -5 + t. Let d = 1 + 0. Solve p*b + d = -5*x + 36, x = 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -224. Let t = 165 + b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 1. Let j(f) = 12*f**2 + 6*f - 10. Let w(a) = 2*j(a) + 20*l(a). What is the second derivative of w(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160689984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (243\/594*-11 + (-1)\/(-18))\/(4\/(-18))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:16 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 0.4, 4, -0.4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17057902 - 525851.5.\nAnswer: 16532050.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -13*s**5\/60 + 11*s**3\/6 - 8*s**2 + 18*s. Let u(i) be the first derivative of w(i). What is the derivative of u(h) wrt h?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -1 - (-28 - 23 - -42).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -1*3*sqrt(110))\/sqrt(5))\/(-5*3*sqrt(539)).\nAnswer: 2*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 5\/(-18). Let h = 2.943 + -2.643. Which is the third biggest value? (a) -5 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 7)*(0*l**4 + 0*l**4 - l**4)*(l - 1 + 1) + (l**3 - 2*l**3 + 0*l**3)*(0*l + 4*l - l)*(-657 + 39*l + 657).\nAnswer: -128*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -3*g, 2*i = -26*g + 28*g - 4. Find the second derivative of -1050*w**2 + w**3 + 530*w**2 + 472*w**g + 11*w wrt w.\nAnswer: 6*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21582, 21570, 21536, 21468, 21354?\nAnswer: 21182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5 + 0 + 7 + s**2. Let d = 13 - 11. What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = v - 4. Suppose 2*t - 42 = -0*t + 3*p, 58 = 2*t + 5*p. Let m be (-4)\/v + t\/14. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 13*u - 45. Calculate m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 47*z**2 + 6*z + 6. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 553100, 553102, 553104, 553106, 553108?\n\"Answer: 2*m + 553098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:08 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/3 (c) 32 (d) 0.33 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {k: 3, r: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(0 - 3*a + 0)*(3*a**3 + a**3 - 3*a**3 + (-6 + 6 - 4)*(3*a**3 - a**3 - a**3)) as q*a**3 + d*a + z + r*a**4 + w*a**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*p - 32*p + 32*p**4)*((5 - 3 + 0)*(0 - 3 + 2) - 5 + 28 + 46).\nAnswer: 2144*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-12)*4192\/(-3930)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762922726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7033 minus 5?\nAnswer: -14.7033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50 and ((-6)\/5)\/((-64)\/(-420)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 3, 30 in ascending order.\nAnswer: 3, 30, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**2 + 25083*k*x - 2884*x - 28 with respect to k.\nAnswer: 8*k + 25083*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 + -5 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19664 or -19667?\nAnswer: -19667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 4*o**2 + 0*o**2)*(5 + 10 - 1) - 1 + o**2 + 1 - o**2 + 2*o**2 - 2*o**2 + (0*o**2 + 0*o**2 + o**2)*(2 - 2 + 2) - 3*o**2 - 14*o**2 - 3*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34546009 or 34546006?\nAnswer: 34546006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 0 + 0)*(-152 - 89 + 142 + (0 + 3 - 2)*(-5 - 1 + 4) + 2 + 3 - 3) as m*u + x and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 36*r + 117. Determine u(-14).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554383573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 682 + -124. Suppose -11*t + 20*t - g = 0. Suppose j - t = 31. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 14. Let z be (12\/(-414))\/((-1)\/y). Let j = -233 - -234. What is the third smallest value in z, 4, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-255))\/(135\/(-81))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 1 - 1 + 3*g**2 - g**3 + g. Let n be (-21)\/(-14) - (-13)\/(-2). Let j be (10\/n)\/((-2)\/(-2)). What is w(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64856 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ttsstsssttst?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2459\/13 - 189. Let s = 21\/52 - a. Sort s, 0, 3.\nAnswer: 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 22*u**2 - u - 3. What is the remainder when c(1) is divided by (-35)\/(-11) + (-2)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110220212112 - 12?\nAnswer: 11110220212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 - 3 = 0. Suppose g*s - 3*s = 2. Let n be (-8)\/(-5) + s\/5. Solve -o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*3 - (sqrt(3087) + -1)) + 0)**2 - (3*sqrt(84)*3)\/(sqrt(12) + sqrt(1200) + -2*sqrt(1200)).\nAnswer: 31*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 10\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -487, -1203, -2235, -3583, -5247, -7227?\nAnswer: -9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -31 (c) 0.5 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357828 = 17945*h - 234357 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256801563 to the nearest integer?\nAnswer: 16025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a + c04?\nAnswer: c5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -89 + -8 - (34 + 0 + (8 - 46))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1525958 and 127\/104258.\nAnswer: 16785538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1053126 * -2.\nAnswer: 0.2106252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 147 = -3*z, 5*x + 205 = -2*z - 3*z. Let f = -41 - z. Suppose q = -f*v + 8, 2*q - 24 = -3*q - 4*v. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 89.2.\nAnswer: 93.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.97 + -24. Let i = -20 + 19.47. Let q = h - i. What is the closest to 2\/7 in q, -3, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o - 307. Calculate the remainder when 62 is divided by s(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 3\/2. Is r bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -t + 17. Suppose 1147 = 5*z + 4*v, -t*z - v + 918 = 2*v. Calculate the greatest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 106*v - 2*v**2 - 2*v**2.\nAnswer: v**2 + 106*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (0 + -6)*42\/(-63). What is the remainder when -70*(-6 + l) + 0 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/735*3*6\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 1\/12*r**4 + 6*r + 0 + 1\/40*r**5 + 0*r**2 + 1\/12*r**3. Solve z(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (590\/(-594) + 1)*(-21521 - -21548).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 281.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 130203 * -0.04\nAnswer: -5208.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*b - 82 = -266*b - 310 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -853, -3, -6, -2, -1 in decreasing order.\nAnswer: -1, -2, -3, -4, -6, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*s)*((1 + 0 + 0)*(0 + 4 - 3) + 3 - 1 + 2)*(2 + s - 1 - 3*s).\nAnswer: -20*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -894 divided by 3?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -571\nAnswer: 2\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 - 1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -493 not equal to -435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -245 and 23.8.\nAnswer: -5831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -197119012.2 + -0.1\nAnswer: -197119012.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42e5 (base 15) to base 2\nAnswer: 11011101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00289973 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b - 51*b = 51*b - 48510. List the prime factors of b.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41468 by -41468.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126492, -126334, -126176, -126018?\nAnswer: -125860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, -4, -47160, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhbybzyyyyybbyy. What is prob of picking 1 z and 1 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 0*n + 10*n)*(2 + 2 - 5)*(0*n**3 + n**3 + 0*n**3) + n**4 - 3*n**4 + 3*n**4 to c + g*n + o*n**4 + y*n**3 + k*n**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 36*t - 59)*(-5*t + 5*t - t) to h*t**2 + u + i*t and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*d + 10417*d**2 - 10415*d**2 - 93*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let x(u) = 12*u + 11604. Determine l(x(f)).\nAnswer: 24*f + 23208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*d + 33*d - 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10295984 times -7?\nAnswer: 72071888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.8 - -39.8. Let k(o) = 13*o. Let t be k(-1). Let m = 10 + t. What is the biggest value in 5, i, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/41 <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 19, -1\/18 in descending order.\nAnswer: 24, 19, 5, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13)**(1\/7) assuming b is positive.\nAnswer: b**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363853.\nAnswer: 13, 335681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7921*o**4 - 1738 wrt o?\nAnswer: -31684*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose -4*r - 33 = -s, -n*s - 2*r + 41 = -19. Let u = -9 + s. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 154*g**2 + 56*g + 56. Let r be (-16)\/(-10)*(-280)\/(-8). Let k(a) = 14*a**2 + 5*a + 5. Let p(w) = r*k(w) - 5*i(w). Let o(j) = 2*j**2. Give o(p(f)).\nAnswer: 392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1.5 (b) -0.0505 (c) -519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 1. Let b(q) = 1. Let j(n) = -n + 5. Let o(z) = 3*b(z) - j(z). Suppose 0 = 3*l - 5 + 11. Let h(v) = l*c(v) - 3*o(v). Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -39*q**3 - 5*q**2 - 8*q - 3. Give u(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*u**3 - u**2 - 10 + 186*u**3 + 9 - 64*u**3 - 61*u**3 + 4200*u in the form g*u**3 + w*u**2 + n + q*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from {k: 3, z: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0621 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c*h*i*m + c*h*m**3 - c*h*m + 6*c*i*m + 3*c + h*i - 3*i*m**3 wrt h?\nAnswer: -6*c*i*m + c*m**3 - c*m + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 119*l - 85. What is the hundreds digit of p(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41110, 81588, 122066, 162544, 203022, 243500?\nAnswer: 283978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f - 46. Let z be q(3). Solve z*r - r = 3*m + 12, 5*r - 8 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 4. Let s be (2\/(-58))\/(j\/2206). Let u = s - -54\/29. Calculate the common denominator of 51\/7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*q**4\/5 - 51662*q**3\/5 - 36916424*q**2\/5 + 218938376*q\/5 - 181970272\/5 = 0. What is q?\nAnswer: -1438, 1, 44\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3) - 6\/(-9). Let j be 1127\/56 + n\/16. Solve -22 = 5*l + 3*b + 12, -l - j = 5*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlttt. Give prob of sequence ltt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/35*(1 - -6). Suppose -9*u + y*u + 234 = 0. What is the greatest common divisor of u and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -410\/3, 32 in increasing order.\nAnswer: -410\/3, 2\/15, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 5536?\nAnswer: 23804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 66. Let y(h) = h**3 + 4*h**2 - 4*h - 3. Let r be y(-4). What is the highest common divisor of c and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let w(j) = 4659850*j. Let d(l) = 1672*l. Let z(u) = -13936*d(u) + 5*w(u). Give x(z(t)).\nAnswer: -3484*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:42 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1290, 10711, 36340, 86283, 168646, 291535, 463056?\n\"Answer: 1351*y**3 - 2*y**2 - 30*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*k**3 - 1619577*d**2 - 1974*k**3 - 587*k wrt k?\nAnswer: 3*d**2*k**2 - 5922*k**2 - 587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56385 = -6722*o + 29702 - 25589 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let w = 0.92 - -2.08. Which is the closest to 0.2? (a) 2\/7 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -22)\/(-2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -w + 2*m, -2*w = -4*w + 3*m + 14. Let t(x) = x**3 + 16*x**2 + 17*x + 30. Let i be t(-15). Solve i = -p - w + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3704*3\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*a + 5*w, a + 7*w - 9*w = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.44262 - 31063\nAnswer: -31063.44262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 47 = -h + 103. Suppose 4 = 2*t + 2*t. Which is the closest to t? (a) 3.4 (b) 3\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2474*j**2 + 52*j + 41 wrt j.\nAnswer: -4948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69562307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 1\/8, -3, 4 in decreasing order.\nAnswer: 4, 1\/8, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10251.89377 to 0 dps.\nAnswer: -10252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.771 (b) 5 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*15\/2*(-7)\/(-350).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 33.2.\nAnswer: 99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 26*z - 108. Let h(f) = 17*f - 69. Let m(q) = -8*h(q) + 5*j(q). Let s(x) = 17*x**2. Give s(m(p)).\nAnswer: 612*p**2 - 2448*p + 2448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883 - 895*n**3 + 883.\nAnswer: -895*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111 - 1?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55\/3*f**2 - 9*f**3 - 1\/3 - 29\/3*f.\nAnswer: -(f + 1)**2*(27*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0*i**3 + 0*i**3 - i + 4*i**5 + i + 11*i**5 - 50*i**5 - 19*i**5 + (4*i**3 - i**3 + 0*i**3)*(-i + i - 2*i**2) + 0*i**5 - i**5 + 2*i**5.\nAnswer: -57*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-25)*15\/6*-24666.\nAnswer: 3, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 0 - (-29 + -2 - -19). Solve -4*v - 26 = 3*p, -v + 3*v = -5*p - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*a - 20946430 = 124*a + 33313958. What is a rounded to the nearest one thousand?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-208)\/(-6) + 28\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2, -3, -541, 6 in descending order.\nAnswer: 6, 5, 2, -3, -7, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.69 + -3.54. Let n = v - -165.85. Let f = 161.83 - n. Round f to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5903 - 5235. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 71 + (-1 - (12 - 6)). What is the highest common factor of t and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppn when four letters picked without replacement from prprnprpppppprrpr?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11449855 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i - 27500. Let b be o(0). What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - 6. Suppose 3*d - 3 = -0*d. Let b = 260 - 262. Put u, d, b in decreasing order.\nAnswer: d, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/7)*d\/(d**1\/d))\/(d**(-4)\/d)**46)**(1\/23) assuming d is positive.\nAnswer: d**(1630\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.5504? (a) 4 (b) 1\/6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 1. Let t(o) = 40*o - 204. Let l be t(5). Let c(v) = -2*v**3 - v - 2. What is l*c(b) - 6*m(b)?\nAnswer: 2*b**3 + 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 - 1 = 0. Suppose -134 + s = -6*q. Let f = q + -12. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from iaii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.88, -2, -1\/4, 1, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 912935.209 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - 122?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 540*a**2 - 19 - 1\/4*a**5 + 15\/2*a**4 - 90*a**3 - 29*a. Let n(b) be the first derivative of q(b). Factor n(k).\nAnswer: -5*(k - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 1. Let g be c(4). Suppose -5*u + 32 = 3*i, -4*u + 3*i = -i - 32. Let n(o) = u*o - o**2 - g*o. Let a(f) = -2*f. Give n(a(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 13*n**4\/6 + 77*n**3\/6 + 17*n**2\/2 - 5017*n. Let x(q) = -9*q**2 - 26*q - 6. Determine 6*j(g) + 17*x(g).\nAnswer: 3*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 9*q - 5. Let a be r(-9). Let g be (-2)\/(-20)*a\/35. Is 1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + x - x**3 + 4 - 3*x**2 + 2*x**3 - x**2 - x**3. Let d = 46 + -44. Calculate l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -384821.9 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, c: 9}. What is prob of picking 3 y?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 + 67941*h - 5753310 = 0.\nAnswer: 85, 22562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 6*f - 1\/3*f**4 + 2 + 6*f**2 - 4\/3*f**3. Let o(m) be the first derivative of d(m). Factor o(i).\nAnswer: -4*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssosojsjtswss. Give prob of picking 1 s and 1 o.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 190161145 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*s + 233, 2*q + 3*s + 51 + 64 = 0. Let z = 63 + q. Solve j - z = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.943094 to two dps.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14892\/5 - 2960. Let v = p + -1942\/105. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x - 5*k = 30, 2*x - 5*k - 16 = 0. Let o = 0.09 + -4.09. What is the third smallest value in o, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107151)\/2465 + 44 - 4\/(-58)) + 32\/(-220)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/3 + 5*y**2\/2 - 2*y + 10055. Let p(f) be the first derivative of -f**3\/3 - 1. What is p(q(o))?\nAnswer: -4*o**2 - 20*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 9*s + 18*s as a*s + g and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1231 and -0.955?\nAnswer: -1175.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 261691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 588456997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.86*48478.\nAnswer: 41691.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6, -2*c + 10 = 3*d + 16. Suppose -4\/7*j**2 + 12\/7*j**3 + d + 16\/7*j**4 + 0*j = 0. What is j?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + -3 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 + 2 = -2*z, 5*z = -2*t + 13. Let m(s) = -3*s**3 - 39*s**2 - 3*s - 27. Let u be m(-13). Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**5)**(-3\/10))**(2\/15))**(1\/15) assuming x is positive.\nAnswer: x**(4\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 37.0897 * 150\nAnswer: 5563.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**13*x))**17\/((x*x*(x*x**(-33)*x*x)\/x)\/x**(-10)) assuming x is positive.\nAnswer: x**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/2303, 1, -89?\nAnswer: -4\/2303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475920 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (1 - (-17 + 1)) - 32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-2) + 7\/14. Which is the nearest to 1? (a) -2\/17 (b) g (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -1. Solve -4*d = 5*p + 27, 0*d + 2*p - w = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 31*o**2 - 68*o - 752. Give d(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/18*-3*(-10)\/70. Suppose -c + 0*c = -67. What is the tens digit of -3 - (c + 4)*m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q - 14*q - 1 + 1.\nAnswer: -83*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 4*w = 4*w. Suppose w = 3*x + 4*s - 31, 0 = 2*x + 7*s - 6*s - 19. Solve -3*g = 5*o - 29, -x = -4*o + 3*g - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 4 - 2 - 6 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56999 times 4?\nAnswer: 227996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((2 - -2) + -9)) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113410 or -112923?\nAnswer: -112923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/133?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(-1) + 3\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (6*-2*sqrt(50))\/sqrt(10).\nAnswer: -12*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -22*a - 522. Calculate s(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*a - 76 - 112, -2*a = -3*d + 142. Solve 6 = 47*g - d*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11685878 is divided by 3804?\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.7 + 26. Let h = 1.3000009 - u. Round h to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i + 6*i - 11*i**2 + (4 + 0 - 5)*(-4*i**2 - 16*i**2 + 6*i**2) to d*i**2 + a*i + m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10125 divided by 77?\nAnswer: 10125\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 93?\nAnswer: -11\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26684.70348 - -77.\nAnswer: -26607.70348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 329 and 470?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/68 and 31\/44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 1580?\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4042 (base 8) to base 15.\nAnswer: 93c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -277 and -195272822.9252.\nAnswer: -195273099.9252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8 - (-1)\/(-3)*(-2 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/56 + 19\/((-532)\/1128). Do y and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/4 (c) -4362 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - (3 - 4). Suppose -a + 3 = -0*a. Let z = -1 + a. Solve -2*p = -2*u + o*p, z*p = -2*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 3, k: 3, j: 1, u: 1, b: 2}. Give prob of picking 1 b, 1 j, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89859 and 223512009?\nAnswer: 8169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 66904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 16*g - 63. Let s be l(7). Put 2, -2, s in descending order.\nAnswer: 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2561*g + 201. What is the tens digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 + -22 + 0 + 94. Suppose 3*j + 2*r - k = 26, 3*r = -5*j + 194. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/64288 and 37\/32?\nAnswer: 64288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0 - 4 + 0 + 5. Suppose 5*i - n = n - 8, 0 = -2*i - n + 4. Suppose i = 4*p - 4*s, -3*s + 1 = -3*p + p. Let w(g) = -2*g + 3. Give p*w(d) - 3*k(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.79, 0, -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682110 is divided by 682103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**6\/3 + 3*x**3 + 24. What is the third derivative of d(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let w = -5209 - -5213. Let g = 0 + -0.2. What is the nearest to y in w, 1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - 24\/63. Suppose c - 4*f + 25 = 3, -3*f + 17 = -c. Sort 0.5, c, y.\nAnswer: c, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20316 - -20424. What is the highest common divisor of v and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = -x + 127, 2*k = 5*x + 40. Does 5 divide k\/30*4\/10*42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -35*r**2 - 17 + r**3 + 15*r - 6*r + 3*r + 25*r**2. Let i be c(9). Suppose -199 = -i*g + 1. Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 3.8. Let v = -0.2 - -0.6. Which is the nearest to 2? (a) v (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-25)\/138) + (-51)\/((-20145)\/(-158))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -2.8 (c) 2 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 1283046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -134*y**3 + 2*y**2 - 2*y - 1. Let i(j) = 2*j**2 + j - 1. What is c(g) - i(g)?\nAnswer: -134*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:09 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 6\/(-9)*(-9)\/3. Let d be (-34)\/48 + w\/8. Do 1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.25 + -786.75. Let t = g + 791.8. Which is the smallest value? (a) t (b) -1\/3 (c) -8 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*x + 27, -29*j + 28*j - 5*x = 21. Solve -3*f - 6 = -4*r, -2*f + 2*r - r = j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 10?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2212450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3268 + -3267.82. Round d to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 237*f - 4*f**3 + 2*f**4 + 242*f - 2 to i*f**2 + y*f**4 + x*f**3 + g + u*f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 186\/107?\nAnswer: 186\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o - 3*o)*(o + o**2 - o) + 15*o**3 + 9*o**3 + 18*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 39.0000042. Round f to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 73112?\nAnswer: 804232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 0, 4*n - 2*v + 5*v = 3176. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*j - 64. Which is greater: -1\/1024 or j?\nAnswer: -1\/1024","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 9. Let a = c + 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5715.7358399 - 5750.73583. Let h = f + 35. What is h rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*g = 2*b + 3*b - 9, -23*b + 3*b + 9 = -3*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35802 and 1677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663790766 is divided by 3184?\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*6.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 104. What is the fourth smallest value in 1\/2, i, -3\/4, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(1 + (-35)\/20). Let i(n) = 2 + 0 + n + 0*n. Give i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/60 - 5*g**4\/24 + 5*g**3\/6 - 2*g**2 + 24*g. Calculate s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(1*6\/((-6)\/(-1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4761, -11695, -23259, -39459, -60301, -85791, -115935, -150739?\nAnswer: -190209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*b - 48*b + 55*b)*(-b - 3*b + 5*b) + (-3*b + 2*b + 0*b)*(-2 + 3 - 2)*(8*b - b - 2*b) to the form x + l*b + i*b**2 and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.242753cm to millimeters.\nAnswer: 12.42753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14137 = 22*q + 493. Are q and -665 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1411?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -1*sqrt(1331)*6 + sqrt(1331) + 1 + -1 - ((-2 + sqrt(1331))*-5 - (sqrt(1331) + 2 + 0)))**2.\nAnswer: -352*sqrt(11) + 5388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53066491 + 53066516.9999945. Let z = -25.49 + -0.51. Let f = i + z. Round f to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.3608kg to grams.\nAnswer: 45360.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6.45 (b) 1\/217 (c) -37 (d) -1\/9 (e) 1\/4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240424 and 4551?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.083 + 7. Let i = u - -0.653. Let o = 4.57 - i. Which is the third biggest value? (a) 0 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/10 + 7*b**4\/8 - 5*b**2 + 58. Let q(u) = -2*u + 3. Let j(m) = 5*m - 8. Let p(l) = 3*j(l) + 8*q(l). Calculate a(p(z)).\nAnswer: -6*z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/7, 0.177, -17.28, -3, -0.5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 55*t**3 - 4*t**5 - t**5 + 31*t**3 + 16*t**2 + 16*t**4 - 4*t.\nAnswer: -4*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1, -778, -2, -4 in ascending order.\nAnswer: -778, -37, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**7\/21 - 19*l**4\/4 - l**3\/2 - 7*l**2 - 162*l. Find the second derivative of d(j) wrt j.\nAnswer: 40*j**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507038596 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 - -158. Solve t + 5 - k = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39653 - 158613\/4. Let t = -0.06 - -2.06. Let z = 145\/3 - 49. What is the nearest to -1 in z, t, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 + 4*g + 4. Let b be v(5). Round b to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -233 and 0.04633.\nAnswer: -10.79489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 4}. Give prob of picking 1 u and 1 c.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 5*r + 2*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 16648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.2919 and -0.1.\nAnswer: -7.3919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 6, e: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55598 and 14?\nAnswer: 55584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 44\/103 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -118\/9 (c) 6.5 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 2*d + 6 - d**3 - 6 - 3. Let f be q(-2). Suppose 0 = -f*h + 20 - 0. Solve 0 = -5*a - 0*a + 3*o + 29, h*o = -2*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -13*h - 11. Let z(t) = -16*t - 10. Let o(c) = -9*p(c) + 8*z(c). Calculate o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 11*q**4\/24 - 9*q**2 - 3*q. Let r(g) be the second derivative of g**3\/6 + g. Give l(r(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 6, u: 1, h: 7, j: 3}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1794.\nAnswer: 2\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*w**2 + 4029 - 4029 - 39*w**2 + 463*w - 463*w.\nAnswer: 53*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8580*j**2 + 8590*j**2 + 7*j - j + (-2*j - 3 + 3)*(0 + 2*j + 0) + 0*j**2 + 0*j**2 + 2*j**2 + (-j**2 - 3 + 3)*(0 + 0 - 1) + 1 - 2*j**2 - 1.\nAnswer: 7*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 6*v + 6. Let l(t) be the second derivative of -7*t**4\/6 + 17*t**3\/6 + 17*t**2\/2 - 10*t - 2. Give 17*a(w) - 6*l(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - 39*j**2 + 2. Let x(p) = -71*p**2. What is x(l(i))?\nAnswer: -71*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(204) - -1*sqrt(204))*-3)\/(4*sqrt(48)\/sqrt(4))*5)**2.\nAnswer: -11475\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.2 (c) -0.5206957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhzjhpzhu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -13. Let f(y) = 2*y**2 - 2*y + 1. Let x(i) be the third derivative of -i**5\/10 + 5*i**4\/24 - i**3\/2 - 77*i**2 + 1. Calculate m*x(b) - 8*f(b).\nAnswer: 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-78)\/(-8) + (-3)\/(-12). Let g(l) = 9*l**2 - 246*l - 498. Let o be g(-2). What is the greatest common factor of o and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - s - 4 + 0*s - 4*s + 2*s + (1 - 2 + 0)*(-2*s + 4*s + 0*s) + 0*s + 0*s - s + 2*s + 3 - 3 + 8*s - 7*s + 4*s to d*s + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 53*a - 641. Give n(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12*(3 - 3). Suppose p = 5*m + 7 - 32. Suppose -4*n = -12, -h = -m*h + 2*n + 38. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -4\/7, 0.54 in decreasing order.\nAnswer: 0.54, -4\/7, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/60 - 5*b**4\/24 + 5*b**3\/6 - 190*b**2. Suppose 2 = 4*r - 18. Give d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044.66 take away 80089092.1?\nAnswer: -80088047.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1053474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 3. Let u(x) be the third derivative of -x**4\/12 + 2*x**3\/3 + 3*x**2 - 11. Determine -2*u(o) - 3*v(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from pbbbppbbpbpbbpbbbbb?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b + 340. Let r = b - -72. Suppose -r*w = -3*q + 6 + 30, -3*q + 2*w + 36 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/9, -5, 1\/27, -3\/4?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/(-19) + 4 - 30\/76. Which is the closest to -0.3? (a) 5 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n - 86. Let g(o) = -2*o + 17. Determine 16*g(u) + 3*w(u).\nAnswer: -2*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 4*m, -2*m + 55*j + 19 = 50*j. Solve -m*t - 1 = 3*x, -4*t = t + 4*x + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/3)\/b)\/b*(b\/(b*b*b*b*b*b**(-2\/11)*b*b))\/b)\/(b**(-2))**(1\/9)*((b**(2\/3)\/b)**(-1\/5))**(-5\/6) assuming b is positive.\nAnswer: b**(-227\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*b*w*y**3 + 2*b*w*y**2 - 12*b*w*y - 75*b*y**3 + 22812*b*y**2 + w*y**3 wrt y.\nAnswer: -294*b*w - 450*b + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(3))\/sqrt(3)*-3 + 0 + (sqrt(700) + (sqrt(700) - (sqrt(700) - 2*sqrt(700) - sqrt(700) - sqrt(700))) + sqrt(7))**2.\nAnswer: -3*sqrt(7) + 18207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 140\/75 + 4\/30. Let q be 0*(2\/(-4) - 0). Let u be q\/(0 - 0 - -2). Does u = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/16 - 3\/16. Let y be (-3)\/(966\/2034*21 - 10). Sort w, -2, 5\/6, y.\nAnswer: -2, w, 5\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:02 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 815*i - 1550*i - 719*i - 202*i to h*i + b and give h.\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 330, 320, 312, 306, 302, 300?\n\"Answer: d**2 - 13*d + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9456, -40667, -92686, -165513, -259148, -373591, -508842?\n\"Answer: -10404*i**2 + i + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z + 34. Does 3 divide r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*8\/(-120)*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 3\/2*z + 1\/4*z**2.\nAnswer: (z - 8)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.3 (c) -1 (d) -0.31 (e) 3\/8 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 40*d - 30*d = 60, 0 = c - 4*d + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 12, 9, 6, 3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052195 divided by -5?\nAnswer: -210439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 + (-34432)\/640)\/((-1)\/(-915)*-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3316*w**6 + 3062*w**3 + 19481*w**2 + 401*w?\nAnswer: 397920*w**3 + 18372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760612 is divided by 100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1988, 3987, 5986, 7985, 9984?\n\"Answer: 1999*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 4. Let h(v) = 5*v - 20. Determine 6*h(s) - 33*o(s).\nAnswer: -3*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3432.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let c(s) = 2*s**2 - 4*s - 4. Let q(t) = t**2 - 3*t - 3. Let a(g) = -3*c(g) + 4*q(g). Calculate b(a(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -220674 not equal to -220675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131*c + 163 - 3*c**2 + 203 - 640*c + 146*c.\nAnswer: -3*(c - 1)*(c + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*b**2 - 17*b**5 - 19*b**2 - 11*b**5 - 7*b**5 wrt b.\nAnswer: -2100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + -0.19. Put s, 3, 5 in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 36*l + 30. Let p = -94 + 97. Let h be 1\/((-1)\/p) + 7. What is the hundreds digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d - 6. What is the remainder when 15\/2*(-14)\/(-3) is divided by j(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 12 = 2*l, 136*w - 140*w + 5*l - 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:23 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664296508 to the power of 1\/2, to the nearest integer?\nAnswer: 25774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -19. Suppose -3 + i = 5*p. Suppose p*s + v - 2572 = 2*v, -2*v = -4*s + 2054. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -6b4?\nAnswer: 6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1641.806 - -1638. Round m to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1397269*a**5 + 467727*a**2 + 2*a.\nAnswer: -83836140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 2*s - 2, 3*s = z - 1. What is the closest to -1 in s, -1\/9, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + (-81 - 926\/(-6))?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*b - 366, -16*b = -18*b - 3*p + 243. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.1 + -10. Which is the closest to j? (a) 1\/5 (b) 0.02 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w = -48*w + 6*w - 293 - 3182 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7387 = -4*m + 9*x, -2*m + 3677 = 5*x. List the prime factors of m.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 64?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Let m(b) = b**2 + 0*b + b + 3 + 1 - x. Let p(r) = r**3 + 8*r**2. Let l be p(-8). Determine m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10729786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 179 = l - 24 + 69 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**8*y)\/y)\/y**(-4))\/(y\/(y*y\/y**(1\/6)*y))**(2\/169) assuming y is positive.\nAnswer: y**(6095\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 196\/84 + 4\/(-3) - -2. Solve 4*u + p*b = -16 - 1, -4*b - 6 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let n(w) = -w + 1. Let c(j) = 2*j - 3. Suppose 4*o - 1 = -13. Let h(m) = o*n(m) - c(m). Give h(u(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-7)*2\/(-18).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 26 + 17 = 0. Let k(q) = -2*q**3 + 4*q**2 - 5*q + 20. Let u be k(v). Is u <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030995.\nAnswer: 5, 7, 269, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/87, -4, 0, 1\/20 in descending order.\nAnswer: 7\/87, 1\/20, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b - 249. Suppose 0 = -54*x + 20*x - 952. Let d be n(x). Determine v so that 5\/2*v**2 + 2 + 4*v + 1\/2*v**d = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.1? (a) -2 (b) 4 (c) 2\/3 (d) 2\/5 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 136 from 8345.63.\nAnswer: 8209.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3504*u = 4*k - 3503*u + 11, -k - 5*u = -21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 - 55*k - 256*k**2 - 3 - 234*k**2 + k + 490*k**2 as l*k**3 + g + u*k + y*k**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f = 35*f + 67*f - 102 - 101 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-11430)\/(-7112)*-70)\/((-3)\/2)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444593 and 4528.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -98.07. Let o = m - 0.07. Let g = 0.4 - 0.3. What is the closest to o in 0.3, g, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10549.\nAnswer: 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 84 = -157*o. Factor 1\/2*j**2 - 3*j + o.\nAnswer: j*(j - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 14) to base 8.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -h - 516, 2*t + 116 = t + 3*h. Let j be 4\/6 + t\/(-24). Suppose j*n - n + 16 = 0. Which is the third smallest value? (a) n (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -56 - (-4 - (-7 + -36)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 0 = -15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-102)\/9)\/17)\/(1\/(-12)). Let g(t) = -28*t + 8. Let o = 1 - 0. Let u(r) = r - 1. Let z(a) = i*u(a) + o*g(a). Let w(y) = -y. Determine w(z(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from fffjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 + 3*i**2 + 6*i - 3*i**2 - 1 - i**2. Let b be m(6). Let f(n) = -2*n**2 + 3. Let a(h) = -1. Calculate b*f(t) - 3*a(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*a - 42631, 5*q + a = 23818 + 47228. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -2) + 28\/2. Let r = -10 + g. Solve r*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6435 and 1496430.\nAnswer: 16460730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -14, 5, -2 in ascending order.\nAnswer: -17, -14, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - 0.08. Let k = 0.1 + d. What is the closest to -1\/4 in k, -2\/3, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(((sqrt(720)*2)**2 - sqrt(5)) + -4) + 5) + -1.\nAnswer: -2*sqrt(5) + 5746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 253269*c**2 - 81785907*c + 6590025435.\nAnswer: 3*(c - 161)**2*(c + 84745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -7*y**4\/24 - 26*y**3\/3 - 8*y**2 - 86*y - 1. Determine r(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 211*r**3 - r + 1. List the prime factors of z(1).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 < -374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/c*c\/(c*(c*c*c**(-11)*c*c*c*c)\/c))**0*((c**(3\/7)\/c*c*c*c)**(-3\/14))**(-5) assuming c is positive.\nAnswer: c**(255\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784624.9 millennia to months.\nAnswer: 9415498800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/2, -6, -0.2, -0.4781 in descending order.\nAnswer: 5\/2, -0.2, -0.4781, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 4. Let r be ((-1)\/3)\/(1\/(-15)). Is d\/(-10) + 593\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Find the common denominator of 32\/3 and (-2)\/w - (-300)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1568 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 46*y - 39 - 27. Solve -y*p + 3*o = 1 - 5, -5*o - 8 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-24))\/h**(-2)*((h\/(h*h*h*((h*h**1)\/h)\/h))\/h)\/h**(-15) assuming h is positive.\nAnswer: h**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177413 = -6*i + 41*i + 62*i. Calculate the greatest common factor of 186 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - ((36 - (2 - -91)) + 26).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1327\/20 - 1\/(-4). Let a = -2723\/30 + x. Let v = -1025\/7194 + 2\/327. Calculate the common denominator of v and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -71. Let i(s) be the first derivative of 1\/12*s**c - 2 + 0*s + 0*s**2. Factor i(g).\nAnswer: g**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12707 - -14682. Calculate the remainder when j is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 23, 65, 133, 233, 371?\n\"Answer: z**3 + 4*z**2 + 3*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 3. Suppose -2*h + 12 = -30. What is the least common multiple of o(h) and 33?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 + 1 = 5*j, 4*f - 2*j = 28. What is the third derivative of -2*o**5 + o**4 + 2*o**f - 57*o**2 - 15*o**6 + 7*o**4 wrt o?\nAnswer: -1800*o**3 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 8. Sort -2, m, -1 in decreasing order.\nAnswer: m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 43. Suppose 5*w - 51 = -5*y + 49, -84 = -s*w + 3*y. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2272573.5 months to years.\nAnswer: 189381.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 3*p - 2. Let u be i(4). Let b(c) = -5*c**2 + 3*c**u + 2*c**2 - 2*c**2. Let a(x) = 62*x**2 - 103*x**2 + 67*x**2. What is a(b(d))?\nAnswer: 104*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 808228 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3165600 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518593449 plus -8?\nAnswer: 3518593441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - a = 2, -4*a + 2 = 10. Suppose 3*w - w - 94 = o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 3 - t + 2*t**2 - 1\/3*t**3. Let d(z) be the first derivative of x(z). Find the first derivative of d(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -20, -3*i + 16 = -i - 4*y. Suppose i = 5*b - 2*b. Suppose 0 = 3*n - 2*z + 6, -2*n + z = 3*z - 6. Solve b + n = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148242 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*-1*-2*sqrt(1216) - -2*(-3 + 1*sqrt(1216)))**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*o + 6*o = -17, -4*a - 9 = 5*o. What is the third derivative of 24*m**2 + 51*m**3 + 6*m**a - 51*m**3 wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509765080 divided by -4\nAnswer: -127441270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2432\/112)\/19 - (3 - 5)\/(-2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24900.6 and -119.\nAnswer: -25019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -5, -3, 1 in descending order.\nAnswer: 1, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + 25. List the prime factors of p.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -409, -403, -399?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = t, -62*r + 3*t = -66*r + 180353. List the prime factors of r.\nAnswer: 5, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 7, c: 2, s: 4, j: 1, e: 2}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -599*u + 3. Let x(a) = -1006*a + 5. Let v(f) = 11*x(f) - 18*z(f). Let t(i) = -12*i**2. Determine v(t(c)).\nAnswer: 3408*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554590.\nAnswer: 2, 5, 83, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 22*k - 68 + 240 - 65 - 69.\nAnswer: 22*k - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87168785825 and 2383.\nAnswer: -87168783442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from eoeeoooeoeee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 7*x - 6. Let z be l(-3). Suppose 22*m - 5824 = -z*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 2*g**7\/21 - 28*g**6\/15 + 5*g**5 - 4*g**4 + g + 5. Factor k(n).\nAnswer: 4*n**2*(n - 12)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyfynhfg. What is prob of sequence yf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.47 rounded to 0 dps?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*f + p - 2 = 154*f, 3 = -5*f + 2*p. Let t(j) = j**2 - 10*j. Calculate t(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 - 228 - 194 - 29*j**3.\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 8*r - 140.\nAnswer: 4*(r - 7)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12623759 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1008 and -109\/4164.\nAnswer: 349776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -14*b + 12. Let x(o) = 2*o + 6. Let y(f) = -f + 16. Let u(i) = -2*x(i) + y(i). What is -3*d(a) + 8*u(a)?\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 42. Let l be 0\/j + 152 + 10. Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aklmbkm. Give prob of picking 1 b, 1 a, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3291 by -5.\nAnswer: -3291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114593181?\nAnswer: 3, 29, 37, 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(28)*-2 + 4)**2.\nAnswer: -32*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -20357, 3\/7, -1, -2\/15, -13 in descending order.\nAnswer: 3\/7, -2\/15, -1, -13, -20357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**2\/2 - 692255*f\/2 - 16966250 = 0.\nAnswer: -49, 138500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*(16\/6)\/4. Let m = q + -12. Suppose 6*w - 8*w + 54 = m. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from pvgpvccccbsg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5))\/o)**16 assuming o is positive.\nAnswer: o**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 2}. Give prob of sequence gyg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.005613729 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*b + 172134650 - 172134650.\nAnswer: 218*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -20, 2*u - 231 = 5*m - 2894. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqxx when four letters picked without replacement from {q: 2, z: 8, x: 4, m: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*u**2 - 412*u - 28*u**2 + 133*u)*(-u**3 - 5 + 5).\nAnswer: -4*u**5 + 279*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/19)*o)\/o*o**(-4\/9)*o*o*o\/(o\/o**(-5\/6))*o*o**(3\/7) assuming o is positive.\nAnswer: o**(7795\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m**2 - 464*m + 14. Let w(o) = -11*o**2 + 231*o - 6. Calculate 6*u(r) + 14*w(r).\nAnswer: -4*r**2 + 450*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 5 + 6 + 1. Let z be c(4). Does 4 divide -4*(-1 + 2)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -196\/3. Which is the closest to i? (a) -0.4 (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4326129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256617240 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -981 + 2008. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 6948718*b - 6948716.\nAnswer: -2*(b - 3474358)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -76, -9 in decreasing order.\nAnswer: 4, -4, -9, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-1))\/h)\/h)\/h**6)\/((h*h**(-3\/4))\/(h**7*h*h)) assuming h is positive.\nAnswer: h**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1\/3 (b) 4.2542 (c) -0.1 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278070289 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 137 - 5*w**2 + 238 + 3*w.\nAnswer: -5*w**2 + 3*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 40, 807, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 484.0148ng?\nAnswer: 0.0000000004840148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Suppose -k + 25 = -0*k. Suppose 0 = -14*n + k - 487. Let o = -34 - n. Calculate v(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1842, -3934, -6286, -8898, -11770?\nAnswer: -14902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10*k - 17*k + 10*k + 26 = 0, -k - 186 = -10*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(6\/11)*n\/n**(1\/3))\/((n\/(n**3*n))\/n**(3\/4))*((n\/(n\/(n\/(n\/n**1))))\/(n\/n**(2\/9)))\/(n**(2\/7)*n)**(1\/24) assuming n is positive.\nAnswer: n**(33485\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -7. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33275 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.9, 1, -4\/3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 1. Let g(b) = 816*b. Give -c(y) - g(y).\nAnswer: -812*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + 66. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (39 + 150806)*2\/10.\nAnswer: 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 62?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 18129. Let s(o) = 9*o + 12. Give s(z(a)).\nAnswer: -18*a + 163173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*a - 441 = -118*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2787102976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Let w be -5*t\/(-10)*0. Solve w = 4*k - 2*v + 8, 0 = k - v + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and -647?\nAnswer: 3493.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 89*f - 1970. Calculate the remainder when 3751 is divided by n(42).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(0 - 3\/(-6))*2. Let i be (-4640)\/(-48) + o\/(-6). Let m = i + -71. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087899195?\nAnswer: 5, 787, 530597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x + 1071 = 15 - 672. Solve -2*v - 4*d = -6, -x*v + 23*v - 3*d = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78111.27 decades?\nAnswer: 9373352.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(85) + (sqrt(85)*-2 + sqrt(85))*-1)\/(sqrt(20)\/(sqrt(4)*-2)) + 0 + -1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*o*x**3 - o*x**2 + 129*o*x - 2*o - 183187*x**3 + 621*x**2 wrt x?\nAnswer: -204*o - 1099122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/16 and (675\/(-648))\/((-84)\/(-27))?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 36. Let n(f) = -f**2 + 13*f + 11. What is the remainder when 197 is divided by n(a)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 97*n - 93*n + 1 = 0, 2*l + 5*n = -26. Let x = 31 - 30. Sort x, l, -2.\nAnswer: l, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665 = 6315*m - 6278*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/18)*w\/(w*w\/(w**(-2\/17)\/w))*w)\/(w**(-2\/47)\/(w*w**(3\/10))) assuming w is positive.\nAnswer: w**(6089\/35955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + (46 - 1) + 5 + (-149 - -146).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -396*o - 41. Suppose 18 = 6*q + 90. Is t(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2410584 + 24?\nAnswer: 2410608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - u**4 - 3*u**3)*(2*u - 5*u + u)*(-53232 + 26280 + 26351).\nAnswer: -1202*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-1065)\/(-60). Let n = -20 - r. Let o(p) = 2*p**3 + 3*p**2 + p - 1. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -76, 25, 1\/17 in decreasing order.\nAnswer: 25, 0.6, 1\/17, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17845406?\nAnswer: 2, 8922703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 118*c**2 - 6962*c - 410758\/3.\nAnswer: -2*(c + 59)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6626522769 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3020, 3, 56 in decreasing order.\nAnswer: 56, 3, -3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 6 = -4*n - 12*l, -n + 3*l + 9 = 0. Solve 0 = -2*x + k + 8, 2*x = -n*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 36. Let q = 12.32 + a. Let l = q - 1.131. What is l rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 - 4*g**2 + 2. Let t(c) be the second derivative of 5*c**5\/4 + 7*c**4\/4 - 11*c**2\/2 - 489*c + 1. Calculate -11*b(n) - 2*t(n).\nAnswer: 5*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 + 66*p**2\/7 - 36*p\/7 - 16\/7 = 0. What is p?\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*32\/(-600)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 12*s - 12*s + 21*s + s + 5*s + 11*s + (1 + 2 - 4)*(-6 + 6 + 3*s).\nAnswer: 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1585, 3174, 4763, 6352?\nAnswer: 7941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 22. Let h(b) = -b**3 + 6*b**2 + 5*b + 11. Let w be h(k). Suppose -3*u = -239 - w. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -5*w**4\/12 - 365*w**3\/9 - 1140*w**2 - 2160*w - 2532. Find n such that a(n) = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -83\/27, -28, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117362? (a) 0.4 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 8 (c) -49 (d) -2\/5 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 8*x + 3*x - 6*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 191.81732\nAnswer: 193.81732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3868 + 3868. Which is the fourth biggest value? (a) -0.2 (b) -1\/6 (c) g (d) 4 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -63, -74, -91, -114, -143?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-13 + (-3 - -5) + -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7350, 58796, 198450, 470418, 918806, 1587720, 2521266, 3763550?\n\"Answer: 7351*p**3 - 2*p**2 - 5*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13430 and 29240?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-15\/8))**14 assuming f is positive.\nAnswer: f**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -13*l**2\/2 + 2*l - 1. Let k(f) be the first derivative of -2*f**2 + 5*f**2 - f + 0 - 1. Give -9*k(o) - 4*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 1.7. Which is the closest to -2\/9? (a) m (b) 4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248 - 88 + 47)*((5 - 5 + 3*u)*(0 - 2 + 0) + (-6 + 3 + 2)*(6*u + 0*u - 4*u) - 5 + 5 + u + 4*u + u - 3*u)*(2*u - u + 0*u).\nAnswer: -1035*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 31 + (-4)\/2. Let p = 141 - z. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147548609 or -147548606?\nAnswer: -147548606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 19. Let p(y) = -y**2 - 7*y - 1. Calculate p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 = 6*z + 718. Let j = 222 + z. Solve 5*f - 21 = 2*m, -3*f - 3*m - j = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3db (base 14) in base 10?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let r be 54*(g - (-4 - -2)). Suppose -4*c + 4*p = -224, r = c + 2*p - p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11436545 divided by 70\nAnswer: 2287309\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) - (2*sqrt(112))**2 - sqrt(112)))*6 + 2.\nAnswer: -2686 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*f = -190, 2*u + 0 + 77 = 5*f. Which is smaller: -35 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (14 + -9 + 5 - 3 - 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478 is divided by 813.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*h + 312 = 101*h - 1508 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12)\/p)**(-2\/47)*p**(-23)*(p*p**(1\/28)*p*p*p*p)\/p assuming p is positive.\nAnswer: p**(-25629\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -219628 + 3?\nAnswer: -219625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 1412609024.7325.\nAnswer: -1412609026.7325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*t + 32*t - 65. Suppose 5*q - t*q = -304. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 k when three letters picked without replacement from ynryyko?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.9601 centuries to years.\nAnswer: 97796.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/(o\/o**(1\/17)))\/o))\/o)\/(o*o**16*o))\/(o**(-1\/2)\/o*(o*o\/o**(2\/39))\/o*o) assuming o is positive.\nAnswer: o**(-23215\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(162) - sqrt(6)\/(sqrt(6)\/sqrt(2)).\nAnswer: 3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3) + 6 + (-88 - -83). Solve g*c = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -57. Which is the nearest to 1? (a) -12 (b) m (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3 and 121\/342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245 - -4277. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + r**2)*(224*r - 64*r + 220*r + (-r + 6 - 6)*(2 - 3 + 4)).\nAnswer: -377*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*r - 4*r - 2*r)*(1 - 2 + 0) + 845 + 45*r - 845 + (-4 + 0 - 1)*((2 - 2 + 2)*(0*r + r + r) + 3 - 25*r - 3))*(-3*r - r + 5*r)*(0 - r + 0).\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.05899 - 0.05899. Let q = -0.5 - -0.2. Which is the biggest value? (a) 2\/13 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 400*i + 99997. Calculate d(-250).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 817.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -915745 and -4578728\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 284 - 6?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26148 - 26145.2935. Round d to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3 - 10*m + 6 - 3 + 9 - 1. Let n = 4 - 2. What is the smallest common multiple of v(-1) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 1474*d**4 - 138*d - 3*d**2 + 322*d**3 - 1478*d**4 - 322*d**3 to i*d + p*d**2 + z*d**4 + r + l*d**3 and give i.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.09 - 4.1. Let y = z + 7.01. Suppose 3*m = 4*m + 1. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4382*k + 6*k**2 - 8*k**2 + 5*k**3 + 4255*k as v + r*k + g*k**3 + s*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 - 570. Let i = n + 161. Which is the nearest to i? (a) -2 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-21)*((-10)\/(-5))\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2673, 5, -4 in decreasing order.\nAnswer: 5, -1, -4, -2673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -905270.654 to the nearest ten.\nAnswer: -905270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*i + 233. Let l = i + 55. Are -7 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 - 20946*t**2 + 1315911455*t\/2 + 27646458175\/3.\nAnswer: (t - 62845)**2*(t + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6*h - 161 = h, 5*n + 2*h - 371 = 0. Suppose 13*r - n = 18. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from swlwlwvwllwwwwslvl.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(-2)\/(0 - -4). Suppose 3*k = 0, 8*j - 3*k = 5*j + 18. Let x = f - j. Solve -x*d + 0 = 4*p - 5, 4*d = -p + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4.9, -127383, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3534 and 171?\nAnswer: 10602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-840)\/98 + (-3)\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 22*b + 3*b)*(0 + 0 + 1).\nAnswer: -19*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 9*d + 11. Let u be g(10). Let w(p) be the first derivative of -2*p**3 - 2178. Let q(a) = a**2 + a. Determine u*w(l) + 2*q(l).\nAnswer: -4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 less than 923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 10*a**2 - 9*a - 1. Let p(v) = -3*v - 5. Let s be p(-4). Let o = s + 2. Let w be u(o). Is 0 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.1 (c) 14942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**2 + 6*h + 7. Suppose 3*b = 23*s - 27*s + 18, 0 = -4*s. Let a(v) = -11*v**2 + 6*v + 5. Let w(q) = b*a(q) - 5*z(q). Give w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -77*x**5\/60 - x**3\/3 + 2012*x**2 + 7. Let f(j) be the third derivative of -j**5\/30 + j**2. Calculate f(p(d)).\nAnswer: -11858*d**4 - 616*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 3*o + 32, 3*o = -12. Let u = 13 + -8. Suppose -5*h = -5*k + 35, u*h = -11 - 4. What is the least common multiple of f and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3. Let z(g) = -g**2 - 4. Let f(q) = -4*o(q) + 3*z(q). Let p(t) be the third derivative of 0*t + 0*t**3 - 77*t**2 + 0 + 1\/24*t**4. What is f(p(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-1 - (-17 + 11) - 3) + -7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.89, 2\/7, 16\/9 in decreasing order.\nAnswer: 11.89, 16\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031809917728 + -1?\nAnswer: -1.031809917728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 88 = 2*k. Suppose k*c = 7*c + 92. Let b be 184\/10*(-25)\/(-5). Calculate the highest common divisor of c and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 3381?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-41)*v*v\/v**43*v assuming v is positive.\nAnswer: v**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t - 9. Let f be g(6). What is the greatest common factor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, m: 2, x: 3, t: 2}. Give prob of sequence ttgx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 5)*(0 - -1). Let i = c + 1. Solve -4*u - 4 = -i*q, -4*u + 10 = 4*q + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 + 42. Let f be w(0). What is the second derivative of -30*h - f*h**2 - 6*h**4 + 42*h**2 wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 + -199\nAnswer: -199.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 7\/2*d**4 + 66 - 8\/5*d**5 + 4\/3*d**3 + 0*d**2 + 0*d. Let j(p) = 0. Calculate p.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1261 - -1298. What is the remainder when 61 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**(1\/10)*((s*s\/(s\/s**1)*s*s*s)\/s)\/s**(-2\/3))\/((s**(-1\/2))**(-8)*(s\/(s\/(s\/((s\/(s**(2\/3)*s))\/s))*s))**(7\/5)) assuming s is positive.\nAnswer: s**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.959 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606*k + 35 = q + 609*k, -2*q = -k - 35. Calculate the highest common divisor of q and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -2a5a94?\nAnswer: 2a5a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = z + 3*z. Let m = 19 - z. Suppose 0*r = -m*p + 3*r + 63, 2*p - 42 = -3*r. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 12 + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1855 + 1043 + 5023 + 1141)*(0 + 4*w + 0) to f + m*w and give m.\nAnswer: 36248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -106\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.66 - -0.06. Let n = 17 + u. Which is the closest to -1? (a) -3\/5 (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*u - 39*u - 22*u)*(7*u + 5*u - 5*u) + 2*u**2 + u - u.\nAnswer: 1241*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 2*v - 11, -3*x - v + 17 = 0. Solve 13 = 5*m - q, 0 = 4*m - 3*q - 12 - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 4 + 0*d - 1\/2*d**2. Let g(v) be the first derivative of -v**3 + 1. What is g(c(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8571 = 5*g - 3*g, 5*g = -4*r + 6837. What are the prime factors of r?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 + 7*z - 6. Let i be d(6). Suppose -5*g + c = -18, 0 = -2*c + 5 - 1. Solve i = a - 0 - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27394776, 27394775, 27394774?\nAnswer: 27394773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/2 - 241*i**4 - 4202*i**3 - 11884*i**2 + 83920*i + 185600 = 0.\nAnswer: -464, -10, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3312, 13241, 29786, 52947, 82724, 119117?\n\"Answer: 3308*v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -22 (b) 0.2 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/(d\/(d\/(d**(-2\/5)\/d)*d))*(d**1\/d)**(-19))\/((d**(-3)*d**(-5\/3))\/((d\/(d*d**5))\/d*d**(-1\/3))) assuming d is positive.\nAnswer: d**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*k = -10*k + 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 7*q + 533 - 519)*(-3 + 7 - 12 - 9).\nAnswer: 85*q - 238","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036444 (base 8) to base 9.\nAnswer: 463052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-45)*(-730)\/(-876))\/(4\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262793106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2531 + -2536. Which is the biggest value? (a) 5 (b) k (c) -442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12 + 663\/(-9). Calculate the common denominator of l\/(-22) + (1 - 2) and (-4)\/(-8) + 150\/(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/9 - -38\/9. Let o(h) be the first derivative of 3 - 1\/4*h**4 + 2*h - a*h**3 + 2*h**2. What is o(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 o when four letters picked without replacement from ooooccoc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 6 - (7 - -3). Suppose 0 = 6*i - i - 70. Sort v, 0, i in descending order.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 - 2 = 0. Let x be 9 - 14 - (3 + -8). Solve -k*o = -2 - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-18))\/((-326)\/112 + (-74)\/(-259)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265206 is divided by 624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 7 in decreasing order.\nAnswer: 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16128 divided by 7.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649 (base 16) in base 9?\nAnswer: 7738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*1 + sqrt(135) - sqrt(135))\/(sqrt(12)\/(sqrt(4) - (sqrt(64) - sqrt(4)))) + 2.\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjmmjjj. Give prob of sequence mjjj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.6, -6\/13 in ascending order.\nAnswer: -1, -6\/13, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2265, 5148, 7995, 10788, 13509, 16140?\nAnswer: 18663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 511 (base 12) to base 9\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 26, 2, 3 in increasing order.\nAnswer: -15, -3, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 13*f - 15. Solve 0*u - u = f, -4*u = -4*y + 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8 + 2 + 5 - g**2 + 3*g**3. What is the units digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 6. Suppose -k = -4*o + 2*k + 8, -9 = -3*o + v*k. Let f be -2 + (o - 1)\/(-2). Which is greater: f or -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-21 + -16 + 22 + 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m + 5*z = 15, 3*m - 7 = 4*z. Let g = 1.6 - 1.5. Let p = 1 + 2. Which is the nearest to g? (a) -3\/7 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -14*k - 564. Calculate the remainder when k is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320))*-6*-3)**2 - (((-2*sqrt(55))\/sqrt(11))**2 - sqrt(180)*3).\nAnswer: -5166*sqrt(5) + 103984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -441 - -440.9. Let f = 87\/100 - 3\/25. What is the third smallest value in u, 0.05, f, 5\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h. Let d(m) = 11*m + 9738. Determine d(y(b)).\nAnswer: -44*b + 9738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 104*y**2 + 23 + 89 - 102*y**2. What is the hundreds digit of a(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1015*k**3 + k**2 - 58*k + 166738 wrt k.\nAnswer: -3045*k**2 + 2*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.228 + -17.772. What is the smallest value in v, 3, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-4 + (-15)\/(-12)). What is the biggest value in d, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31742 - -31728.067. Let z = -14 - w. Let p = -0.06699856 - z. Round p to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m. Let a(b) = -260*b**2 - 9*b + 509*b**2 + 15*b - 250*b**2 + 12*b. Determine y(a(o)).\nAnswer: -3*o**2 + 54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18*y = -14*y + 34, 3*y = 4*x - 36. Let j(k) = -4*k**2 - 19*k - 5. Let t(w) = 5*w**2 + 20*w + 6. Determine x*j(m) + 5*t(m).\nAnswer: m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 792922.041 to the nearest one thousand.\nAnswer: 793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46553 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/9 - 1817*o**2\/9 - 4372405*o\/9 - 1835467675\/9 = 0?\nAnswer: -745, 3307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 7*n - 2. Let d be q(-6). Suppose -4*y = -g + 138, 9*y - 482 = -3*g + d*y. Find the common denominator of 0\/1 - g\/20 and -36\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 10*p**2 - 15*p - 21. Let x be t(-9). Suppose 65*y = 68*y + x. Find the common denominator of y and -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 6, 0.4, -12 in increasing order.\nAnswer: -12, 1\/10, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 42, -2, -206 in descending order.\nAnswer: 42, -2, -3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2245*k**5 - 11*k**4 + 149*k**3 + 145930165*k**2 wrt k.\nAnswer: -134700*k**2 - 264*k + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (44 + 3)*(582 + 80) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -76.007754.\nAnswer: -75.607754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/64? (a) 0.04 (b) -2 (c) 21807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by 18\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 459*h**2 + 8. Let i(p) = -3*p**3 + 462*p**2 + 5. What is -6*i(s) + 5*r(s)?\nAnswer: -2*s**3 - 477*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -46, -172, -422, -838, -1462?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 6*b**2 + 33*b**2 - 4 + 0 as y*b + m + u*b**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -81957.9 to the nearest one hundred.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -11. Calculate the common denominator of -43\/14 and (p\/18)\/(5\/(-6)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194717390 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 6*p + 10. Let o be c(7). Suppose o*s - 4*u = -5*u + 2, 4*s - 2*u = 16. Differentiate -7 - s + 3 + 3 + 2*m**2 with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1\/1)*(-53 - 9432\/(-180))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4279 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(10\/(-8)))\/(-2). Let h = 21 - 17. Sort h, o, 0 in increasing order.\nAnswer: 0, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrdprprpprpdrr.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*r**6 + 957*r**5 - r**3 - 1192*r**2 - 2*r - 3 wrt r.\nAnswer: 3840*r**3 + 57420*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scgzsggzgoz. What is prob of sequence gg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100010011 (base 2) in base 9?\nAnswer: -5257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -802*i**3 + i**2 - 9. Let z(h) = -802*h**3 + h**2 - 11. Determine -6*l(t) + 5*z(t).\nAnswer: 802*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ususss?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4194 and 19\/4.\nAnswer: 8388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/12 + 103*o**2. Let v(l) be the third derivative of -l**5\/4 - 2*l**2. What is v(m(b))?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/4 (c) 3\/7 (d) 14 (e) 5 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 7*t**2 - 8*t - 30. Determine a(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909759.\nAnswer: 587, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**3 - 148*q**2 - 284*q - 140 = 0.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -2304126?\nAnswer: 2304131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2980 and 0.05.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 78, 112, 128, 120, 82, 8?\n\"Answer: -f**3 + 53*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (0 - 4))*6\/(-4). Suppose 256*q + 5 = 257*q. Solve -p*y - q = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.7 and -4.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + (-1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 92*m + 279. Give k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*d**2 - d + 711*d**2 + 76*d**2.\nAnswer: 5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 5. Let o = m - -3. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 721*i - 724*i = -20, 104 = 13*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 21*l + 60. Calculate i(19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1631070246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 13*r + 7*r + 42*r**3 + r**2. What is the tens digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -18*n - 47 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*o - 3249 + 3297, 2*i - o = -20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 8, -4\/3, 17\/148.\nAnswer: -4\/3, 17\/148, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 490*l**2 - 2066*l - 172. Determine a(159).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5848 and 504.\nAnswer: 368424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16074 and -91\/168354.\nAnswer: 3198726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557 (base 10) in base 5?\nAnswer: -103212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrvrrvnzzrnk. What is prob of sequence vvnq?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c*c**(-26)\/c)\/(c\/(c*c**(-2\/3)))**(-4\/27) assuming c is positive.\nAnswer: c**(-1369\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015237 is divided by 304?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 4 - 2 + 4 + 0 + (-4 + 2 + 4)*(5 - 1 - 2) - 2 - 3 + 7 + 5 - 5 - 1)*(-2*x - 108*x - 17*x) to l*x + z and give l.\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 5 + 4*sqrt(612) + 0 + 1 + -2).\nAnswer: -48*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*4.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 5*o**2 - o + 8. Suppose 5*g = t - 15, -10*t + 5*t - 4*g = 12. Suppose c - 5*c + 8 = t, 5*q + 2*c = 29. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43435 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -3, 10, -2, -3\/5, -0.2, 0.06?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3\/17 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose -p = -2*n + 2 + 8, 5*n + 3*p = 36. Suppose 3*x - n = 0, m*f + 0*x = -x - 23. Let a(l) = l + 1. What is a(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531125.5 litres to millilitres.\nAnswer: 531125500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 6\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -20 + 23. Factor c**5 - 3 - 8*c**2 + 8*c**s + 4*c**5 - 1 - c**5 + 12*c**4 - 12*c.\nAnswer: 4*(c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5385881*h**3 - 297432*h**2 - 5?\nAnswer: 32315286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2 + 2)*(1577 - p - 1577)*(3 - 6 + 1)*(0 - 1 - 1).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 133 = -36*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(5))**2*5 - (sqrt(5) + (sqrt(55)*-5)\/sqrt(11)).\nAnswer: 4*sqrt(5) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -22. Suppose -3*y - q = -2. Let m = y - -7. Solve 2*c - c - m = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-70)*(-5)\/1. Suppose -3*s = 4*f - 558, 0 = -3*s - f - i*f + 558. List the prime factors of s.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 32440 - 32650 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3162022 (base 7) to base 5\nAnswer: 44303422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**1\/p*(p\/p**4)\/p*p**(-2\/5)\/(p*p**(-3\/5)*p)*(p\/((p**(1\/4)\/p)\/p*p*p))**(1\/3)*(((p*p**1)\/p)\/p)**(-7) assuming p is positive.\nAnswer: p**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r**(4\/9)\/r)\/r)\/r)*r**(-12\/5)\/r*((r*r**(-1\/4))\/r)\/r*(((r**(-6\/7)*r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-4979\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 30. Suppose -3*m + 38 = 8. Calculate the remainder when m is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -1\/33 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304432 is divided by 708.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 + -28 + 2 - (-27 + 22)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 95741, 0.47, -0.19 in ascending order.\nAnswer: -0.19, 0.47, 95741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 0 - sqrt(7))*4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-36)*-2)\/(1\/28).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/72 - -25\/72. Which is the nearest to -1? (a) -0.1 (b) z (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 85. What is the greatest common divisor of d and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 5*a + 23 + 1, 6*g + 57*a + 5 = 56*a - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*g - 2*g - 5*z, -2*g + z = 8. Suppose 3*h = -2*x + 9, 3 = 24*h - 23*h + x. Sort h, g, 6, 0.\nAnswer: g, 0, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1774 and 0.5?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - 4.2. Let d = b + 10. What is the third biggest value in 0.3, -9, d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*i - 3*t - 0, 0 = -4*t - 4. Suppose 3 = v + 4*a - 47, -a + 5 = 0. Let n = v + i. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-18)\/(-243) - 38\/(-9). Let o(u) = 1190*u - 35. Let g be o(m). Is g\/6 + (-7)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1817*k - 1331853. Calculate f(733).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 6:17 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + -1600. Let m = -458 - k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (11 + -3 + -5 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 + 0*k + k - 5*k + 2. Calculate w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 + -1100?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/25 greater than or equal to -4016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2 (b) -18.42 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1209592 and -35.\nAnswer: -42335720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14513 (base 6) to base 14.\nAnswer: -bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - ((-82)\/(-21) - 3). What is the second biggest value in c, -2\/11, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69185, -138367, -207549, -276731?\n\"Answer: -69182*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -41 in decreasing order.\nAnswer: -1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2827273.4 + 0.\nAnswer: -2827273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 139925*x**3 + 69963*x**3 + 859*x**2 + 69960*x**3 to the form k*x**2 + u*x + b*x**3 + t and give k.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5645791 is divided by 10984?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28112\/(-12299))\/((-8)\/266))\/((-2)\/1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4\/((-28)\/511)*(-5 - -1 - 133)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 40*q = 43*q + 1, 3*q = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*a - 78*a - 136*a - 11256 - 4988 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 2*f**2 - 2*f - 1. Let w be u(-1). Let h = -2354 - -2353. Let v be 2\/(-8)*-2*8. Which is the third smallest value? (a) w (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*d + 8 = i, -d = -2*i - 10. Let b be (-6)\/8 + (-11)\/i*-55. Let z = -70 - b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -7\/4*t**3 + 0 - 5*t - 1\/40*t**5 - 5\/2*t**2 - 1\/2*t**4. Factor q(b).\nAnswer: -(b + 1)**2*(b + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/108689 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(550) + sqrt(22))*-2)\/((sqrt(2) - sqrt(32))*6).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5938 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -0.39.\nAnswer: -16.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 419.24388 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 54*c + 1360 = 26*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75448.32 nanograms?\nAnswer: 0.00000007544832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 128*l**3 + 22*l**2 + 23*l + 1. Give h(-1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/10 + 133*1. Suppose 21*m - o = 25*m. Let n = 83 + m. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 44*p**2 + 49*p + 43. What is o(-10)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4021*g - 20100. Let m be b(5). Factor 3*j**3 + 2\/3*j + 0 + 5\/3*j**4 + 7\/3*j**2 + 1\/3*j**m.\nAnswer: j*(j + 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t. Let j(d) = -12*d. Calculate r(j(y)).\nAnswer: 120*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:54 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2210 and 2470?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 640.5974 kilometers?\nAnswer: 640597400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 700.\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 5*c - 9. Let i be v(-7). Let u = -5 + 7. Let n be (3\/6*0)\/u. Solve -i*q + n*q - 6 = 2*j, -4*j + 5*q - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1 (c) 14 (d) 224653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 104, 8, -1\/4.\nAnswer: -0.4, -1\/4, 2, 8, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, c: 2, e: 2, d: 1}. Give prob of picking 1 b and 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39847.\nAnswer: 39847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j - 1. Let p(c) = j*c + 2*c + 2*c**2 - 1 - 3*c. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-2 + sqrt(156))*3)\/((sqrt(120)*-1 - sqrt(120))\/sqrt(10)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - (0 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 1849*f = -1851*f + 50, 6*v - 85 = -5*f for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 + 10 = 0. Suppose -j*q + 4 + 5 = 0. What is the units digit of 1\/q + (-92)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505602 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(4\/17)*c)\/c)\/(c**7*c))\/(c*c*c\/c**(-2\/93)*c*c*(c**(-1\/10)\/c)\/c) assuming c is positive.\nAnswer: c**(-168949\/15810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 3*j**2 + 3. Let s(h) = -4*h**3 + 8*h**2 + h + 7. Let a(l) = 7*c(l) - 3*s(l). Let d(g) = g**3 - g**2 - g. Determine a(b) - 3*d(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-2*2)\/((8140\/5883)\/(-55))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -u + 22, 5*u = -5*v + 4233 - 4198 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130260.\nAnswer: 2, 3, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7212 + -62680854?\nAnswer: -62680855.7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -51. Sort -5, 2, n in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1726*d - 56. Let p be n(-6). Let i be (p - 0\/5)*10. Round i to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 65. Let y(q) = 917*q - 460*q - 454*q. What is y(x(s))?\nAnswer: 3*s**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*n - 1200*n + 7733 = 0 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-560)\/(-12))\/14.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a\/a**18)\/(a**19\/a))\/(a\/a**(-12))**41 assuming a is positive.\nAnswer: a**(-565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15872\/(-1792) - 2\/14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7120, 14244, 21364, 28480, 35592, 42700?\nAnswer: 49804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -146 (b) 11800 (c) 6\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5393407 or 0.02?\nAnswer: -5393407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31264726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 3. Suppose 95 = 5*p + s*q, -5*p + 0*q + 75 = -q. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 95 (b) 2\/11 (c) 6\/11 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g - 22. Let w be c(-5). Let d = 33 + w. Is -24 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1031 + 2069 + 86*s - 1038 + 4 - 2*s - 4 + (2*s + 2 - 2)*(3 - 3 - 2) - 4*s + 0*s + 2*s in the form r*s + g and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from rrrrrrnrrrrrnrrnnrnv?\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**4 - 8*k**2 - 10. Let g(d) = -3*d**4 - 3*d**2 - 3. Let m(w) = -8*g(w) + 3*n(w). Differentiate m(j) wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 118*k**2 - 1904*k + 4704 = 0. Calculate k.\nAnswer: 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2 - 18*m - 16. Suppose -4 = 2*w - 0. Let c(n) = 3*n**2 - 6*n - 5. Let x(v) = w*b(v) + 7*c(v). What is the remainder when x(9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -244582, -489860, -735138, -980416, -1225694?\n\"Answer: -245278*k + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and -4703.24?\nAnswer: 4712.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/8 - a**5\/60 + a**3\/6 - a**2. Suppose 40 = 191*y + 231. Give j(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g + 2*g**3 - g + 3*g)*(-17*g**2 + 2986*g - 2986*g).\nAnswer: -34*g**5 - 51*g**3 - 34*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 1. Suppose 4*w = 5*w + 1. Let b(o) = -8*o**2 - 6 - 3*o - 2*o + 3*o. Let n(j) = w*b(j) - 6*k(j). Factor n(s).\nAnswer: 2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86117 is divided by 84482.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38886, 38767, 38634, 38487?\n\"Answer: -7*z**2 - 98*z + 38991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11605, -11603, -11599, -11593?\nAnswer: -11585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/6 + 1311*h + 2. Let s(l) be the first derivative of l**2 - 3. Calculate y(s(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-12) - 210\/(-56). Suppose u*z + 840 = 9*z. Calculate the greatest common factor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.47714 litres in millilitres?\nAnswer: 73477.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1120 + -755. What are the prime factors of a?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w + 2, 3*l - 55867 = -2*w. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510700531 divided by -136807.\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -0.11, 2, 3, 0.2 in descending order.\nAnswer: 3, 2, 0.2, -0.11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-16)\/(-72)). Suppose -5*m - 21 = y, -w*m + 2 - 9 = 2*y. Let o = 2 + -2. Is y > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208514, -207109, -204768, -201491, -197278, -192129, -186044?\nAnswer: -179023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -67. Suppose 2*t + 19 = 2*m + 5, -t + f = 5*m. Suppose -x - 2 = -m. Let h(a) = -a**2 + 6*a - 3. Calculate h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1386)\/(-704) + -2 + 0 and 109\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81667\/16 + 5102. What is the common denominator of -50\/7 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36715*v + 1 + 73404*v - 15*v**3 - 36729*v to the form n*v**3 + l*v + u*v**2 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 85 = -32*y + 71 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 92 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35672802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 98243943728 + 8\nAnswer: 98243943736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137, 292, 483, 728, 1045?\n\"Answer: 3*m**3 + 134*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41198*d**6 - 89393*d**2?\nAnswer: -4943760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.5. Suppose -11 - 1 = 4*m. Let l = m + 8\/3. Which is the third smallest value? (a) l (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79217030?\nAnswer: 2, 5, 7921703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 51*y**2 - 39*y + 2152. What is the remainder when 944 is divided by x(51)?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -98. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**3 - 2*y**2 + 1. Let b be r(-1). Let g(j) = -j**3 + b*j - 6*j**2 - 4*j + 2 - 5*j - 2*j. List the prime factors of g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/320*792\/(-231).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:06 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 1\/3 (b) 4 (c) -3\/2 (d) 130.421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 13881\/73 and 191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 10*s**2 - 16*s. Let w be y(-9). Let i = w + -121. Let p = i + 85. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8684818 - 541*m**3 - 8684818.\nAnswer: -541*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*h**5 - 18*h**4 - 2*h**3 + 287*h**2 + 5*h?\nAnswer: -1860*h**2 - 432*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/((-21)\/9))\/(-5 + 6). Which is smaller: 75\/32 or f?\nAnswer: 75\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*u - 1605 = 0, -r + 4*u + 963 = 2*r. Let g = r - 324. Which is the nearest to -1\/2? (a) 5 (b) -0.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/1184)\/(5\/360).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.548 * 73478.\nAnswer: 113743.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 66682?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(192)*1*6)**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = -3*b + 5*v + 41, 3*v = -4*b + 708. Calculate the remainder when b is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 68 = -6 - 108 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 4 + 104871*g - 795*g**3 - 104871*g.\nAnswer: -795*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 21.4?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*r + 33 - 7 = 0, r = f + 1. Let i(n) = 3 + 2*n - n**3 - f + n - n**2. Let g be ((-10)\/3)\/((-80)\/120) - 3. Determine i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 7. Let d be a(-5). Let h = 21 + d. Suppose -h - 12 = -4*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*m - 171*m - 96*m)*(-4 + 4 - 1).\nAnswer: 161*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/13*t**2 - 308\/13 - 82\/13*t - 2\/13*t**3 = 0. Calculate t.\nAnswer: -2, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 568*c**2 + 1104 - 2*c - 171*c**2.\nAnswer: 397*c**2 - 12*c + 1104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43921 and 26037.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*c + 7056 = 314*c + 317*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) -46 (d) -0.09 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -194*z + 2204. Give s(15).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -334*f. Let l(w) = 111*w**2. Calculate l(d(t)).\nAnswer: 12382716*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4)**(4\/7)\/((a*a**1)\/a*a**(-6)\/a) assuming a is positive.\nAnswer: a**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32436161?\nAnswer: 37, 876653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = -w, -2*j = j - w - 13. Let x = -743 + 23. Let r = x + 720.13. What is the nearest to -1 in r, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - 375\/(-900). Let q(x) be the third derivative of 0*x + 0 - c*x**5 - 1\/24*x**4 - 5*x**2 - 1\/3*x**3. What is q(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4328, -4334, -4342, -4352, -4364, -4378?\n\"Answer: -n**2 - 3*n - 4324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*s**2 + 1416\/5 - 83\/5*s = 0.\nAnswer: 24, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 37*t - 1153. Determine n(22).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 441 - -34?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let i = -0.0313 - 1.9687. Sort -3, -0.3, i, j in descending order.\nAnswer: j, -0.3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*s - 154 + 43, 2*s = -5*r + 154. Let i(o) = -33*o + 2 + r*o - 2. Let c(h) be the first derivative of h**3 - 1. What is i(c(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*o + 16. Suppose -5*x + o*t + 72 = 0, 57 - 1 = 4*x - 2*t. Suppose -x = h + 5*w, 6*h + 4*w + 12 = 4*h. Are h and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.055015208 times -0.5\nAnswer: 0.027507604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 3:04 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 15*y**2 + y - 13. Let f be g(15). Let i(r) = 5*r**3 - 27*r**f + 17 - 14*r - 3*r**3 - 13. Let d be i(14). Solve -d = 2*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 4*f - 1. Let u be p(-5). Let h(y) = y + 2*y - 1 + 2 + u. Let i be h(4). What is the greatest common factor of 85 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-7) - (25 - 1). Let x be 5\/y + 66\/8. Solve i + x = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -381, -867, -1543, -2403?\nAnswer: -3441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/79, 1\/2 in increasing order.\nAnswer: 2\/79, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n**5 - 7\/60*n**6 - 5*n**2 + 0 + 0*n**3 + 5\/24*n**4 + 0*n. Find the second derivative of l(c) wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + -8c3?\nAnswer: -8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7027970, 7027906, 7027842?\n\"Answer: -64*k + 7028034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -4, -3 in increasing order.\nAnswer: -53, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 + 3*c - 3. Suppose j + 8 = 4*d - 0, 0 = 4*j. What is k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8363536m in kilometers?\nAnswer: 0.0008363536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 14*u - u - 13, -93 = u + 3*l - 57 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 - 20*j - 48 = 0. What is j?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1292841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3038 = 92*j - 2574. What is the greatest common factor of 1891 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1593189 divided by -267.\nAnswer: 5967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6778?\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 354*i**2 + 2*i. Let s(l) = -4*l. Determine p(s(o)).\nAnswer: 5664*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 121*m**5\/5 + 1307*m**4\/4 + 8*m**2 + 46*m - 1. What is the second derivative of l(w) wrt w?\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 92c + -6e?\nAnswer: 8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 1. Let z(q) = 16*q - 5. Let t(o) = -11*w(o) - 2*z(o). Let c be t(5). Suppose -4*p = -h - 100 - 71, -c*h = -3*p + 112. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17453204 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 23, 55, 101?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 4. Let r be l(0). Suppose 4 = 5*x + 2*a, -5 + 13 = 2*x + 4*a. Let y be (-2)\/(-2) - x - r. Solve 8 = 3*o - 2*c - 4, -o + y*c + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.913 + -28.91236. Let y = k - 10. What is y rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*p + 1086*m**2 - 28*m*p wrt p?\nAnswer: -m**2 - 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/3231 and -127\/691434.\nAnswer: 691434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*p - 6*p. Let z(k) = k**p - 5*k + 0*k - 3*k**2 + 4 + 0*k**2. Calculate z(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 9:07 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/2)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*a - 169396 - 31879, 0 = -5*a - b + 251620. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*-1*-1. Let n = -152\/5 + 30. What is the smallest value in l, 0.4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4691, 51, -12 in decreasing order.\nAnswer: 51, -12, -4691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 129, -24, 3 in ascending order.\nAnswer: -24, -11, 3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/328 + 3271\/2952. Let m = -1.1 + 0.8. Sort f, m, -1 in descending order.\nAnswer: f, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 218292154446 and 0.4.\nAnswer: 218292154446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from gqqzzfzrozfgz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:44 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)**(1\/4)*(v*v\/((v\/(v\/(v*v**0\/v*v)))\/v)*v)**28)\/(v**(-2\/5)\/v**(1\/3)*((v\/(v*v**(-2\/7)\/v))\/v)\/v**1) assuming v is positive.\nAnswer: v**(7165\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(-8\/5) assuming s is positive.\nAnswer: s**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - z**2 - 2 + (4 + z**2 - 4)*(1 + 1 - 7) + 29130*z + 8 - 8 - 29129*z - 2247*z**2 in the form p*z + m*z**2 + t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 2*o)*(0*o - 5*o + 3*o) + 3*o**2 + 1 - 1 + (3*o**2 + o**2 - 6*o**2)*(2 - 6 + 2).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/1*(-16)\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.66 - 1.66. Sort y, 0.2, -3\/2, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -303435, -607222, -911007, -1214790, -1518571, -1822350, -2126127?\n\"Answer: y**2 - 303790*y + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 - 2*f**4\/3 - 4*f**3\/3 - 13*f**2\/2 - f. Let p = 15059 - 15050. Determine n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -0.8. Let h = b + -0.9. Let m = 0 + 0.2. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148791+-5\nAnswer: -148796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 139 - 15. Suppose -n*r + 3*r = -56. Let q(w) = -3*w**3 - w + 2. Let o(b) = -12*b**3 - 4*b + 9. Determine r*o(d) - 9*q(d).\nAnswer: 3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -82, -137, -196, -259, -326, -397?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 576916.7 millilitres?\nAnswer: 576.9167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - 3. What is the third biggest value in -4, -0.4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.516, -0.1, -1, 2.\nAnswer: -2, -1, -0.516, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(112) + sqrt(7) - (sqrt(700) + 0)**2.\nAnswer: -700 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 4. Give j(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 7*s + c + 28 = 0, -c - 23 = 4*s. What is the biggest value in -0.4, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3926219351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/567)\/((-32)\/216).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide (12375 + (-26 - -2))\/(-2*(-3)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 1, -1 in decreasing order.\nAnswer: 167, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4225 + -4225.5. Suppose 0*n = -4*n + 16. Suppose w - n - 2 = 0. What is the third smallest value in f, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -0.5 in descending order.\nAnswer: -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/960)\/(15\/80)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -27570264\nAnswer: 27570263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbmbcccbcuccmf. Give prob of picking 1 c, 1 b, 1 m, and 1 u.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 - y + 5. Suppose -21 = b - 2*b + 5*d, d - 3 = -b. Calculate v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 3*k**2 - 2*k + 2. Let h = 1 - 17. Let j = h + 5. Let n be 1 + -5 - (j - -5). Determine p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-2)\/(-4)). Let d(c) = -32*c**3 - 2*c**2 - 2*c - 1. Is d(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 163*g**2 + 5*g**3 - 164*g**2 + 19*g**4 - 6*g**3 to h + k*g**2 + a*g**3 + b*g**4 + y*g and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 17*w**2 - 22*w + 16. What is the tens digit of h(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 2}. Give prob of sequence gt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 + a - 1. Let g = 2 - 1. Let p be j(g). Let u = p + -1. Put 3, 0, u in ascending order.\nAnswer: 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - o - 3*o + (4 - 6 + 3)*(2*o + 3*o - 4*o) - o - o + 4*o as g + b*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*i - 46 = 0, -3*i + 0 = -9. Let b = 12 - k. Suppose w - 5 = -t, 5*t - 2*w = w + 17. Solve -3*q + b = -t*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -1 + (13 - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.75472 nanoseconds in minutes?\nAnswer: 0.000000002345912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4421.08778 to the nearest ten.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14899382 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 107\/2 - (-3)\/2. Suppose 0 = -5*o + 5*a + g, 0*o = -2*o + 4*a + 26. Sort o, 0, -4, 5 in descending order.\nAnswer: o, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*m**4\/3 - 754*m**3 + 8371*m**2\/3 - 78*m = 0.\nAnswer: -9, 0, 2\/71, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435040631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197110 = 95*w - 249622 - 535918. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*h\/h**(-2)*h))\/h*h))**(1\/2) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (23 - 18))*(-365)\/150 - 11. Determine l, given that 0 + j*l - 16\/5*l**2 - 2\/5*l**3 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788397107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84732 and 6532?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 455 (b) -1\/10 (c) -0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 5 + 6*g + 3*g - 10*g in the form o + h*g and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 5*w**2 - 7*w + 18. Determine y(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15)*18\/12*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 19.94 (c) -1\/3 (d) 2 (e) 1.348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 2*a**4 - 2*a**3 - 4*a**2 + a + 2.\nAnswer: (a - 1)**2*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4 + 2)*170. Let q = -160 + r. Suppose -q = -3*u - 2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = -7*m - 4*n, -4*m = -n - 4. Suppose m*i - 84 = -6*i. What is the remainder when 27 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -9837.\nAnswer: 9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 15730?\nAnswer: 15725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-w - 3 + 3) + (3 - 2 + 0)*(w - 3*w - 3*w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(91)*1*-6)\/(-6*(sqrt(112) - sqrt(7))))**2.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k = 24*k + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 5*t**2 - 5*t - 2. Let x be (-40)\/16 + (-2)\/4. What are the prime factors of p(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128730571 to the power of 1\/2, to the nearest integer?\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + r - 3. Let o be k(1). Suppose -o - 2 = -a. Let z = a + 197. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11 = 4*j + j, 0 = 3*v + 4*j - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) 4 (c) 0.7 (d) 21 (e) -5 (f) -1719\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 12*o**2 + 10*o - 20. Let v be 10*4\/(6 + -2). Let r be y(v). Suppose 4*g + 3*g - r = 0. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, w: 2, i: 6}. Give prob of sequence bbbb.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(48) - sqrt(12)) + sqrt(102)\/(sqrt(6)*2))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*s**2 + 244*s**3 + 85*s**2 + 81*s**2.\nAnswer: 244*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*(0 + sqrt(192)))**2 + (5*(sqrt(192) + 0 + sqrt(192)))**2) + (((2*sqrt(135))\/sqrt(9))\/(sqrt(495)\/sqrt(11)))**2.\nAnswer: -78332\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*w - 2*q + 40, 53*w + 0*w + 3*w - q = -285 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-385)*7 - 60\/(-33). Suppose n*k = -2*k + 196. What is the greatest common factor of k and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 58. Let q = z - -48.973. Round q to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from zozkzppodpkzzcz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 11*f + 46. Let r be a(-15). Let q = r - -22. Calculate the remainder when 12 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from {r: 1, w: 3, z: 1, h: 2, m: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftt when four letters picked without replacement from ohhfotfhfo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, 2 in ascending order.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -614, -709, -810, -917, -1030, -1149, -1274?\n\"Answer: -3*c**2 - 86*c - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 413512909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x. Suppose 0 = -v + 3*v. Let l be t(v). Suppose l*p - 26 = -i - 3*p, 4*i = 5*p + 53. What is i rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}